Rewrite the expression as a polynomial in standard form.

Rewrite The Expression As A Polynomial In Standard Form.

Answers

Answer 1
combine like terms (click on pic)
and then rewrite putting the number with the highest exponent first, the second highest and so on
Rewrite The Expression As A Polynomial In Standard Form.
Answer 2

The expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) can be rewritten in standard form as -2x³ + 5x² - 16x

How did we get the value?

To rewrite the expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) as a polynomial in standard form, we can combine like terms.

First, let's distribute the negative sign in front of the parentheses:

(2x² - x³ - 9x + 1) - x³ - 7x + 3x² - 1

Next, let's group the like terms together:

2x² + 3x² - x³ - x³ - 9x - 7x + 1 - 1

Now, let's combine the terms:

(2x² + 3x²) + (-x³ - x³) + (-9x - 7x) + (1 - 1)

5x² - 2x³ - 16x + 0

Finally, the expression (2x² - x³ - 9x + 1) - (x³ + 7x - 3x² + 1) can be rewritten in standard form as:

-2x³ + 5x² - 16x

learn more about polynomial in standard form: https://brainly.com/question/15313798

#SPJ6


Related Questions

Seascapes rent small fishing boats for a day-long fishing trips. each boat can carry only 1200 lb of people and gear for safety reasons. Assume the average weight of a person is 150 lb. each group will require 200 pounds of gear for the boat plus 10 lb of gear for each person.

A) create any quality describing the restrictions on the number of people that can possibly fit in a rented boat.

B) several groups of people wish to rent a boat Group one has 4 people group two has 5 people group three has 8 people. Determine which of the groups, if any, can safely run a boat what is the maximum number of people that may rent a boat.

Answers

A. We are given that each person weighs 150 lb, each gear per person weighs 10 lb, and a total of 200 pounds of gear for the boat itself.

Since each person only carries one gear, therefore total weight per person in 160 lb (weight of person + weight of gear).

So let us say that x is the number of persons, the inequality equation is:

 

160 x + 200 ≤ 1200

 

 

B. There are three groups that wish to rent the boat.

> Solve the inequality equation when x = 4

160 (4) + 200 ≤ 1200

840 ≤ 1200           (TRUE)

 

> Solve the inequality equation when x = 5

160 (5) + 200 ≤ 1200

1000 ≤ 1200         (TRUE)

 

> Solve the inequality equation when x = 8

160 (8) + 200 ≤ 1200

1480 ≤ 1200         (FALSE)

 

So only the 4 people group and 5 people group can safely run the boat.

 

 

C. Find the maximum number of people that may safely use the boat, solve for x:

 

160 x + 200 ≤ 1200

160 x ≤ 1000

x ≤ 6.25

 

Therefore the maximum number of people that can safely use the boat is 6 people.

A mathematical inequality is created to determine that a maximum of 6 people can rent a boat based on the safety weight limit of 1200 lb. Of the groups provided, only groups with 4 or 5 people can safely rent the boat, while the group with 8 people cannot due to exceeding the weight limit.

To determine the restrictions on the number of people that can possibly fit in a rented boat given the safety weight limit, we start by creating an inequality. Let p represent the number of people, then the total weight of the people is 150 lb times p, and the total gear weight is 200 lb for the boat plus 10 lb per person. The inequality can be represented as:

150p + 10p + 200 \<= 1200

Simplifying the inequality gives us:

160p \<= 1000

Dividing both sides by 160:

p \<= 1000 / 160

p \<= 6.25

Since we cannot have a fraction of a person, the maximum number of people allowed is 6.

For part B, we evaluate if the groups mentioned can safely rent a boat:

Group 1 (4 people): 150(4) + 10(4) + 200 = 840 lb \<= 1200 lb - they can rent.

Group 2 (5 people): 150(5) + 10(5) + 200 = 1000 lb \<= 1200 lb - they can rent.

Group 3 (8 people): 150(8) + 10(8) + 200 = 1480 lb > 1200 lb - they cannot rent as it exceeds the limit.

The maximum number of people who may rent a boat based on the given restrictions and average weights is 6 people.

what is an equation for the number of $0.60 bagels that can be purchased with d dollars

Answers

The answer is 0.60d.
x+D=1
since d is dollar and the one is
x would be the cost and the d would be the dollar
 

Average precipitation for the first 7 months of the year, the average precipitation in toledo, ohio, is 19.32 inches. if the average precipitation is normally distributed with a standard deviation of 2.44 inches, find these probabilities.

Answers

Part A:

The probability that a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

[tex]P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\sigma}\right)[/tex]

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months is given by:

[tex]P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\ \\ =1-P\left(z\ \textless \ \frac{18-19.32}{2.44}\right) \\ \\ =1-P(z\ \textless \ -0.5410) \\ \\ =1-0.29426=\bold{0.7057} [/tex]



Part B:

The probability that an n randomly selected samples of a normally distributed data with a mean, μ and standard deviation, σ is greater than a given value, a is given by:

[tex]P(x\ \textgreater \ a)=1-P(x\ \textless \ a)=1-P\left(z\ \textless \ \frac{a-\mu}{\frac{\sigma}{\sqrt{n}}}\right)[/tex]

Given that the average precipitation in Toledo, Ohio for the past 7 months is 19.32 inches with a standard deviation of 2.44 inches, the probability that 5 randomly selected years will have precipitation greater than 18 inches for the first 7 months is given by:

[tex]P(x\ \textgreater \ 18)=1-P(x\ \textless \ 18) \\ \\ =1-P\left(z\ \textless \ \frac{18-19.32}{\frac{2.44}{\sqrt{5}}}\right) \\ \\ =1-P(z\ \textless \ -1.210) \\ \\ =1-0.1132=\bold{0.8868}[/tex]

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.7054 = 70.54% probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months.b) 0.8869 = 88.69% probability that five randomly selected years will have an average precipitation greater than 18 inches for the first 7 months.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem:

The mean is of 19.32 inches, hence [tex]\mu = 19.32[/tex].The standard deviation is of 2.44 inches, hence [tex]\sigma = 2.44[/tex].

Item a:

The probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months is 1 subtracted by the p-value of Z when X = 18, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{18 - 19.32}{2.44}[/tex]

[tex]Z = -0.54[/tex]

[tex]Z = -0.54[/tex] has a p-value of 0.2946.

1 - 0.2946 = 0.7054.

0.7054 = 70.54% probability that a randomly selected year will have precipitation greater than 18 inches for the first 7 months.

Item b:

Now, we want the probability that five randomly selected years will have an average precipitation greater than 18 inches for the first 7 months, hence:

[tex]n = 5, s = \frac{2.44}{\sqrt{5}}[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{18 - 19.32}{\frac{2.44}{\sqrt{5}}}[/tex]

[tex]Z = -1.21[/tex]

[tex]Z = -1.21[/tex] has a p-value of 0.1131.

1 - 0.1131 = 0.8869.

0.8869 = 88.69% probability that five randomly selected years will have an average precipitation greater than 18 inches for the first 7 months.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

4x-3y+6z=18,-x+5y+4z=48,6x-2y+5z=0 what are x,y,and z?

Answers

-1x+5y+4z=48
4x-3y+6z=18
6x-2y+5z=0
multiply the first equation by 4 and add the results to the second equation:
-1x+5y+4z=48
17y+22z=210
6x-2y+5z=0
multiply the first equation by 6 and add the results to the third equation:
-1x+5y+4z=48
17y+22z=210
28y+29z=288
multiply the second equation by -28/17 and add the result to the third equation:
-1x+5y+4z=48
17y+22z=210
-123/17z=-984/17
solve for z
-123/17z=-984/17
z=8
then solve for y
17y+22z=210
17y+22*8=210
y=2
solve for x substituting y=2 and z=8 into the first equation:
4x-3(2)+6(8)=18
x=-6
so the solutions are x=-6, y=2, z=8

Write the equation of the piecewise function ƒ that is represented by its graph.

Answers

check the picture below.

the hole, of course means, that point is not part of the range.

and the closed hole, means it is part of that range.

[tex]\bf f(x)= \begin{cases} \sqrt{x},&x\ \textless \ 4\\ x^2,&x\ge 4 \end{cases}[/tex]

Piecewise function with 3 pieces: [tex]x^2+1, 4x-8, 2[/tex]

The piecewise function ƒ that is represented by the graph in the image is:

ƒ(x) =

[tex]x^2+1, & \text{if } 0 \le x < 4 \\[/tex]

[tex]4x-8, & \text{if } 4 \le x < 5 \\[/tex]

[tex]5^2+1 = 26, & \text{if } x = 5[/tex]

This is because the graph of the function consists of three distinct pieces:

For 0≤x<4, the graph is a parabola with vertex at (0,1) and opening upwards. This suggests that the function is of the form [tex]ax^{2} +bx+c.[/tex]

We can find the values of a, b, and c by substituting the points (0,1), (1,1), and (4,16) into the equation.

This gives us the system of equations:

\begin{cases}

[tex]a \cdot 0^2 + b \cdot 0 + c = 1[/tex]

[tex]a \cdot 1^2 + b \cdot 1 + c = 1 \\[/tex]

[tex]a \cdot 4^2 + b \cdot 4 + c = 16[/tex]

\end{cases}

Solving this system gives us a=1, b=0, and c=1, so the equation of the function for this interval is [tex]x^{2} +1[/tex].  

For 4≤x<5, the graph is a line with slope 4 and y-intercept −8.

This suggests that the function is of the form mx+b.

We can find the values of m and b by substituting the points (4,2) and (5,25) into the equation.

This gives us the system of equations:

\begin{cases}

[tex]4m+b = 2 \\[/tex]

5m+b = 25

\end{cases}

Solving this system gives us m=4 and b=−8, so the equation of the function for this interval is 4x−8.

For x=5, the graph is a horizontal line at y=26.

This suggests that the function is of the form c.

We can find the value of c by simply looking at the graph.

This gives us c=26, so the equation of the function for this interval is 26.

Therefore, the complete piecewise function is:

ƒ(x) =

\begin{cases}

[tex]x^2+1, & \text{if } 0 \le x < 4 \\[/tex]

[tex]4x-8, & \text{if } 4 \le x < 5 \\[/tex]

[tex]5^2+1 = 26, & \text{if } x = 5[/tex]

\end{cases}

For similar question on Piecewise function.  

https://brainly.com/question/28225631

#SPJ3

A corporation employs 2000 male and 500 female engineers. a stratified random sample of 200 male and 50 female engineers gives each engineer 1 chance in 10 to be chosen. this sample design gives every individual in the population the same chance to be chosen for the sample. is it an srs? explain your answer.

Answers

Yes, an SRS by definition is a sample that is divided into groups that share an attribute and then those groups are combined. In this case the groups are divided by gender.
Final answer:

No, the sample design is not a simple random sample (SRS), but a stratified random sample. In an SRS, every individual in the population has an equal chance of being chosen for the sample.

Explanation:

The given sample design is not a simple random sample (SRS). In an SRS, every individual in the population has an equal chance of being chosen for the sample. However, in this case, the sample design is a stratified random sample. It involves dividing the population into groups (in this case, male and female engineers) and then selecting a sample from each group using a different sampling rate.

To determine if a sample design is an SRS, we need to ensure that each individual in the population has an equal chance of being chosen, and this probability is the same for every individual. In the case of the given example, the sample design does not meet these criteria, making it not an SRS.

Learn more about Sample Design here:

https://brainly.com/question/35456970

#SPJ3

Find the product: 5(−3)(−2)

PLEASE HELP ASAP!

Answers

(-3)(-2) = 6
6(5) = 30

30 is your answer

hope this helps
30 is the answer for you

PLEASE HELP!!!

Taylor bought 200 shares of stock for $18.12 per share last year. He paid his broker a flat fee of $30. He sold the stock this morning for $21 per share, and paid his broker 0.5% commission.

a. What were Taylor's net proceeds?

b. What was his capital gain?

Answers

Taylor's net proceeds from the sale of his stock are $4179, after paying his broker's 0.5% commission. His capital gain on the investment is $525, calculated by subtracting the total purchase cost, including the initial broker's flat fee, from the net proceeds of the sale.

a. What were Taylor's net proceeds?

To calculate Taylor's net proceeds, we need to consider the initial cost of buying the shares, any fees paid to the broker, and the amount earned from selling the shares. Here's the breakdown:

Determine initial cost: 200 shares x $18.12 per share = $3624

Add broker's fee when buying: $3624 + $30 = $3654

Subtract broker's fee when selling: $42 (0.5% of $8400 from selling 200 shares at $21 per share)

Calculate net proceeds: $8400 - $42 = $8358

b. What was his capital gain?

To find Taylor's capital gain, subtract the total cost (initial purchase cost + fees) from the total earnings after selling the shares. The calculation is as follows:

A stack of two hundred fifty cards is placed next to a ruler, and the height of stack is measured to be 5 8 58 inches.

Answers

─────█─▄▀█──█▀▄─█─────
────▐▌──────────▐▌────
────█▌▀▄──▄▄──▄▀▐█────
───▐██──▀▀──▀▀──██▌───
──▄████▄──▐▌──▄████▄──

plz don't be mad I need points

A culture started with 4,000 bacteria. After 5 hours, it grew to 4,800 bacteria. Predict how many bacteria will be present after 15 Hours.
Round your answer to the nearest whole number

Answers

First we need to find k ( rate of growth)
The formula is
A=p e^kt
A future bacteria 4800
P current bacteria 4000
E constant
K rate of growth?
T time 5 hours
Plug in the formula
4800=4000 e^5k
Solve for k
4800/4000=e^5k
Take the log for both sides
Log (4800/4000)=5k×log (e)
5k=log (4800/4000)÷log (e)
K=(log(4,800÷4,000)÷log(e))÷5
k=0.03646

Now use the formula again to find how bacteria will be present after 15 Hours
A=p e^kt
A ?
P 4000
K 0.03646
E constant
T 15 hours
Plug in the formula
A=4,000×e^(0.03646×15)
A=6,911.55 round your answer to get 6912 bacteria will be present after 15 Hours

Hope it helps!

Answer:

6900 rounded answer -

Step-by-step explanation:

Plato users, correct.

Find 3 solutions for 2x+y=10

Answers

2×4+2=10
2×3+4=10
2×2+4=10
3 possible solutions to the equation 2x+y=10 are shown below:

X= 3, Y=4
(3*2+4=10)

X= 1, Y=8
(1*2+8=10)

X=4, Y=2
(4*2+2=10)

Hope this helps! :)

#2
Point C has a _____ abscissa and a _____ ordinate.

positive, negative
negative, positive
negative, negative
positive, positive

Answers

it is the third onne
Positive, Negative because C Has a number that is Positive and a number that is Negative.

Write your answer in standard form with integer coefficients.
2x + 3y = 30 ; (2,-5)

Answers

Well I dont know if I'm correct but i think its 4+-15=30 Im just saying

a physicist working in a large labortory has found out that the light particles traveling in a particle accelerator increase velocity in a manner that can be described by linear function -4x+3y=15, where x is time and y is velocity in kilometers per hour. use this function to determine when a certain particle will reach 30 km/hr

Answers

Given:
-4x + 3y = 15
where 
x = time, hr
y = velocity, km/h

Write the equation as
3y = 4x + 15
y = (4/3)x + 5

When y = 30 km/h, then
(4/3)x + 5 = 30
(4/3)x = 25
x = 25*(3/4) = 18.75 h

Answer: 18.75 hours

What does negative 2 over 3 > −1 indicate about the positions of negative 2 over 3 and −1 on the number line?

Answers

Answer:

Step-by-step explanation:

Which transformation is not isometric?

Answers

A is not isometric, the size of the squares are different

Please help!!!!!

The function graphed shows the total cost for a taxi cab ride for x miles.

Select from the drop-down menus to correctly identify the taxi cab ride information provided by the graph.


The slope is ________
a. 5
b. 3
c. 2.5
d. 0.2

The slope represents _______
a. the total cost of the taxi ride
b. total number of miles traveled
c. cost per mile traveled
d. the initial cost of the taxi ride

Answers

(0,3) and (2,8)
slope = (8-3)/(2-0) = 5/2 = 2.5

answer

The slope is ________
c. 2.5

The slope represents _______
c. cost per mile traveled

The slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.

What is slope of line ?

Slope of line is the angle made by the line from positive x-axis in anticlockwise direction, it also denoted the steepness of the line.

The function graphed shows the total cost for a taxi cab ride for x miles the cost in taxi is shown in y axis and the distance covered by taxi in x axis. Now, to find put the slope we must two coordinates which  can be found out from the graph easy by observation as (0,3) and (2,8).

How using slope formula to find the slope of line :

[tex]\begin{aligned}\frac{y_{2}-y_{1}}{x_{2}-x_{1}}&=\frac{8-3}{2-0}\\&=\frac{5}{2}\\&=2.5\end{aligned}[/tex]

It represents the cost of taxi per mile of distance travelled.

Therefore, the slope of the line between cost of taxi and distance is 2.5 and it represents the cost of taxi per mile of distance travelled.

check and know more about slope of line here :

https://brainly.com/question/3605446

#SPJ2

Simplify an expression

Answers

Answer:

[tex]\frac{20+2k}{3k+12}[/tex]

Step-by-step explanation:

Since there is no equals sign here, we are not solving this.  The only way to simplify is to get a common denominator and write the expression as a single expression.  We can begin by noting that the second term has a k in the numerator and in the denominator, and those cancel each other out.  That is the first simplification we can perform.  That leaves us with:

[tex]\frac{4}{k+4}+\frac{2}{3}[/tex]

In the first term, the denominator is k + 4, in the second term it is just 3.  Therefore, the common denominator is 3(k+4).  We are missing the 3 in the denominator of the first term, so we will multiply in 3/3 by that term.  We are missing a (k + 4) in the second term, so we will multiply in (k + 4)/(k + 4) by that term:

[tex](\frac{3}{3})(\frac{4}{k+4})+(\frac{k+4}{k+4})(\frac{2}{3})[/tex]

Multiplying fractions requires that I multiply straight across the top and straight across the bottom.  That gives me:

[tex]\frac{12}{3k+12}+\frac{2k+8}{3k+12}[/tex]

Now that the denominators are the same, I can put everything on top of that single denominator:

[tex]\frac{12+2k+8}{3k+12}[/tex]

Th final simplification requires that I combine like terms:

[tex]\frac{20+2k}{3k+12}[/tex]

List the members of these sets.
a.{x | x is a real number such that x2 = 1}
b.{x | x is a positive integer less than 12}
c.{x | x is the square of an integer and x < 100}
d.{x | x is an integer such that x2 = 2}

Answers

a.{x | x is a real number such that x^2 = 1}

x^2 = 1 => x = +/- 1

=> {-1, 1} <------ answer

b.{x | x is a positive integer less than 12}

1 ≤ x < 12 => {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} <------ answer

c.{x | x is the square of an integer and x < 100}

x = n^2 < 100 => n^2 - 100 < 0

=> (n - 10) (n + 10) < 0

=> a) n - 10 > 0 and n + 10 < 0  => n > 10 and n < - 10 which is not possible

b) n - 10 < 0 and n + 10 > 0 => n < 10 and n > - 10 => - 10 < n < 10

=> n = { - 9, - 8, - 7, - 6, - 5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

=> x = {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} <---- answer

d.{x | x is an integer such that x^2 = 2}

x =  {∅ } because x is √2 which is not an interger but an irrational number

=> Answer: { ∅ }

The sets are:

a) {-1, 1}b) {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}c) {1, 4, 9, 16, 25, 36, 49, 64, 81}d) {∅}.

How to find the elements of each set?

We need to find all the values of x that meet the given restrictions for each set.

a) Here we know that x is a real number and we must have:

x^2  = 1

Solving for x:

x = ±√1 = ±1

Then this set is:

{-1, 1}

b) Here x is a positive integer smaller than 12, this is just:

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}

c) In this case x is a square number, and it must be smaller than 100, so let's find all the square values smaller than 100.

1^2 = 12^2 = 43^2 = 94^2 = 165^2 = 256^2 = 367^2  = 498^2 =  649*9 = 8110*10 = 100  (from this onwards, the squares don't meet the criteria).

Then this set is:

{1, 4, 9, 16, 25, 36, 49, 64, 81}

d) Here x must be an integer, such that x^2 = 2

Solving the equation we get:

x = ±√2

But √2 is an irrational number, so there is no integer number that meets this restriction, this means that we have an empty set, this is written as:

{∅}.

If you want to learn more about sets, you can read:

https://brainly.com/question/1563195

(60 POINTS! I NEED HELP NOW PLEASE!)


Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing, and the end behavior when the following changes are made. Make sure to account for even and odd functions.

-When f(x) becomes f(x) -3

-When f(x) becomes -2 * f(x)

Answers

Think of f(x) as the y value If you add 2 to y you move the function up by 2 units. The shape stays the same, where it is increasing and decreasing stays the same. It's just an upward shift. If f(x) is an even function, this means f(-x) = f(x), so what I just described applies If f(x) is an odd function, this means f(-x) = -f(x), so what I just described applies as as well When you multiply f(x) by -1/2, you invert the function f(x) so that positive values become negative and negative become positive. This means where f(x) was maximum, it's now a minimum and vice-versa If f(x) is even, then what I've just described applies If f(x) is odd, then what I've just described applies Hope this helps.

SOMEONE PLEASE HELP!
A store allows customers to fill their own bags of candy. Troy decides he only wants chocolate-covered pretzels and gumdrops. Chocolate-covered pretzels sell for $0.89 per pound, and gumdrops sell for $0.65 per pound. Troy’s bag weighs 1.8 pounds and it cost $1.29.



A. 0.5 pounds of pretzels; 1.3 pounds of gumdrops
B. 0.9 pounds of pretzels; 0.9 pounds of gumdrops
C. 1.3 pounds of pretzels; 0.5 pounds of gumdrops
D. 0.8 pounds of pretzels; 1 pound of gumdrops

Answers

A

just plug in the prices of the candy .5 times the price of pretzels and 1.3 times the price of gumdrops

The regular price of a jacket is $42.75. during a sale, the jacket was marked 12% off. what was the price of the jacket during the sale? (1 point) $5.13 $30.75 $37.62 $42.63

Answers

$37.62

.12x42.75=5.13

42.75-5.13=37.62

Find the difference quotient and simplify your answer. f(x) = 7x − x2, f(7 + h) − f(7) h , h ≠ 0

Answers

whatever is inside of the ( ), simply plug that digit into the x-values for f(x)
So: f(x) = 7x - x^2, and f(7+h) - f(7)
= [7(7+h) - (7+h)^2] - [7(7) - (7)^2]
= [49+7h - 49+14h+h^2] - [49-49]
= 49-49 + 7h+14h + h^2 = h^2 + 21h =
h (h+21), h (h+21) = 0
h=0... But it stated h cannot = 0
So h+21 = 0, h = -21
Final answer:

The difference quotient for the function f(x) = 7x - x² is (7h - h²) / h.

Explanation:

The difference quotient is used to find the rate at which a function changes over a small interval. To find the difference quotient for the given function f(x) = 7x − x², we substitute f(7 + h) and f(7) into the formula: [f(7 + h) - f(7)] / h. Simplifying the expression, we get [(7(7 + h) - (7 + h)²) - (7(7) - 7²)] / h. Expanding and simplifying further, we have [(49 + 7h - h²) - (49 - 49)] / h, which becomes (7h - h²) / h.

Learn more about difference quotient here:

https://brainly.com/question/35589801

#SPJ5

Write the expression(4x-2)·6(2x 7) in the standard form of a quadratic expression, ax² bx c what are the values of the couiffeciant?

Answers

I have found that the right expression is (4x-2)*6(2x-7).

So, I will apply distributive property step by step:

1) (4x - 2) (12x - 35)

2) 4*12x^2 - 4*35x - 2*12x + 2*35 = 48x^2 - 140x - 24x + 70 = 48x^2 - 164x + 70

3) Compare with ax^2 + bx + c

=> a = 48, b = - 164, c = 70

Answer: a = 48, b = -164, c = 70


Divide 42 in a ratio of 1:2:3?

Answers

Ratio 1:2:3 means we have x, 2x and 3x as the three parts

x+2x+3x = 42
6x = 42
6x/6 = 42/6
x = 7

Since x = 7, this means 2x = 2*7 = 14 and 3x = 3*7 = 21

Dividing 42 into the ratio of 1:2:3 means we have 7:14:21 as the answer

If we divide all three parts of 7:14:21 by the GCF 7, we reduce it down to 1:2:3

As a check, 
7+14+21 = 21+21 = 42
so it works out

At a certain college, there are 600 freshman, 400 sophomores, 300 juniors, and 200 seniors. if one student is selected at random, what is the probability that the student is a sophomore?

Answers

The total number of sample space in this item is calculated by adding up all the number of students given. That is,

   S = 600 + 400 + 300 + 200 = 1500

The probability is calculated with the equation below.

    P = n / S

where P is the probability,
          n is the number of sophomores, and 
          S is the total number of students

Substituting,
    
  P = 400 / 1500 = 4/15

ANSWER: 4/15

what is the sale tax on item that costs $33.50. if the sale tax is 0.06 on every $1?

Answers

Your answer will be 2.01 dollers

Evaluate the expression. ​ (26÷13)⋅(−7)+14−4 ​ Enter your answer in the box

Answers

(2)*-7+14-4        -14+14-4               0-4            = -4

The value of the expression (26 ÷ 13) ⋅ (−7) + 14 − 4 ​will be negative four.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ (26 ÷ 13) ⋅ (−7) + 14 − 4 ​

Simplify the expression, then the value of the expression will be

⇒ (26 ÷ 13) ⋅ (−7) + 14 − 4 ​

⇒ (2) ⋅ (−7) + 14 − 4 ​

⇒ −14 + 14 − 4 ​

⇒ − 4 ​

Then the value of the expression (26 ÷ 13) ⋅ (−7) + 14 − 4 ​will be negative four.

More about the value of expression link is given below.

https://brainly.com/question/23671908

#SPJ5

How can u tell
Whether 1080 is cube number

Answers

tSplit  into prime factors

1080  = 2*2*2*3*3*3*5

Its not a cube because  although there are  2 triplicates there is also a 5.

Note 2*2*2*3*3*3   is a cube.

The solution is, 1080  = 2*2*2*3*3*3*5, is not a cube number.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

the number is 1080

Split  into prime factors

1080  = 2*2*2*3*3*3*5

so, we have,

Its not a cube

because  although there are  2 triplicates there is also a 5.

as, we know that,

Note 2*2*2*3*3*3   is a cube.

so, 1080  = 2*2*2*3*3*3*5, is not a cube number.

Hence, The solution is, 1080  = 2*2*2*3*3*3*5, is not a cube number.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

List -0.3 , 0.5 ,0.55 ,-0.35 from least to greatest

Answers

-0.35, -0.3, 0.5, 0.55

is your answer

hope this helps
the correct answer is-0.35,-0.3,0.55,0.5
Other Questions
When you sign up for a movie service, you get three free months of movies. Then you are charged $15 per month to rent movies. If you pay $90, how many months of use do you get? Arnold and helga decide to start selling homemade jewelry on etsy to earn some extra income. however, the materials they use are expensive, and it takes them a long time to finish each piece of jewelry because they bicker about how it should look. in short, their process is not efficient. their daughter phillipa suggests that they design the pieces before they start making the jewelry to help increase their productivity. they are able to make the jewelry more quickly and decrease their average total cost of production. when arnold and helga are able to expand the size of their operation, they are able to experience . What events took place at pegasus bridge? Which phrase best defines a food web? A.the sum of all actual feeding relationships in an ecosystem B.a single pathway of feeding in an ecosystem C.the ecological term applied to plants and other photosynthetic organisms that produce glucose D.organisms that eat other organismsPLZZ ANSWER QUICK in the present day what might be ways to boost the morale of American troops How to find equation of axis of symmetry when given 2 points? Please helppp(750/512)^1/3 what is equivilant to this?? Please help asap!!A recipe calls for 2 1/4 cups of flour to make a batch of cookies. How many batches of cookies can be made if you have 15 3/4 cups of flour? Which of the following is an organic activity? a. root-pry b. abrasion c. carbonation d. exfoliation A tree in your backyard is blocking the sunlight for your garden, so you decide to cut it down. Which of the following best describes what you have done to your backyard? A. modified it B. destroyed it C. irrigated it D. overfarmed it When children believe that they can change and develop themselves bit by bit, they have formed a(n) _____ idea of intellectual and personal traits? A transmission electron microscope would be the best microscope choice to study _______. a. structures smaller than cells b. single celled organisms c. plant leaves d. amphibian organs Which of the following is a complex sentence? A. I would like to visit the Kinshasa, but I understand the city is unsafe for foreigners. B. Check out the editorial page in today's paper and you'll notice the piece by George Will. C. As Jake was reading the email from June yet again, the flight attendant coughed gently to get his attention. D. I simply cannot make heads or tails of rap lyrics, but I suppose I'm just too old to understand them. The idea that, in time, you can get used to almost anything is associated with which learning mechanism? What is the point-slope form of the line with slope -1/8 that passes through the point (-2, 1)? Which of these was a characteristic of the rutherford model of the atom, but not the thomson model? How does identifying the part in the whole help you write the percent proportion x(x2-x+3) monomial times polynomial Malachi took cans to the recycling plant and put them into the can-crusher one at a time. after he had already crushed some of the cans, he started recording the number of cans he crushed per minute. this table shows how many cans malachi put in the can-crusher at different times. minutes 3 5 7 9 cans crushed 49 65 81 97 what is the equation that represents malachi's situation? enter your answer in the boxes What will this problem look like? The radius, r, of a circle is one-half of the length of its diameter, d.1. 1/2r= d2. 2r=d3. 1/2 + r = d4. r= 1/2d5. r= d/2There is more than one answer Steam Workshop Downloader