What is the axis of symmetry and vertex given the equation,
y=2x^2-12x+21

Answer:

The correct answer is 904.1 pounds per square foot

Step-by-step explanation:

(mcgraw)

Answer: Translation

More specifically, it is a translation shifting every point 5 units to the right and 7 units down.

In geometry, "translation" is a special term to basically mean "shift the point left, right, up or down". You can think of the point sliding across the page in some manner.

Answer:

translation

Step-by-step explanation:

the point is moved 5 units to the right and 7 units up

Substitute y = 2x + 5 to the second equation 6x - 3y = 6:

6x - 3(2x + 5) = 6             use distributive property

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

6x - 6x - 15 = 6

-15 = 6    FALSE

Answer: NO SOLUTION

Answer:

17

Step-by-step explanation:

575/32=17.96875 or 17

Answer:

17 necklaces

Step-by-step explanation:

32n=575

n=575/32

n=17.96

Round down to 17, can't make .96 of a necklace.

Answer:

Putting money into a savings account

Step-by-step explanation:

Answer:

Each year, a law firm gains 20% more clients. This continues on a regular basis. The number of clients that the law firm has will be about 1.2 times the amount from the past year.

Step-by-step explanation:

There is only one solution to this system of equations.  The solution is where the two equations meet, which in this system is (2, 1).

Answer:

One Solution

Step-by-step explanation:

GOT IT RIGHT ON EDGE 2020

Answer:

1563.2

Step-by-step explanation:

If you just multiply 0.3 by 10 you will get 3

Now all you need to do is write 3 or have a number which has unit place value of 3

Answer: The number in which the value of the 3 is 10 times the value of the digit 3 in 156.32 = 3

Step-by-step explanation:

The given number = 156.32

The place value of 3 in 156.32 is 3 tenth [since it the left most number after the decimal].

3 tenth can be written as [tex]\frac{3}{10}[/tex]

The number 10 times [tex]\frac{3}{10}[/tex]= [tex]10\times\frac{3}{10}[/tex]

Therefore, The number 10 times [tex]\frac{3}{10}[/tex]=3

Hence, the number in which the value of the 3 is 10 times the value of the digit 3 in 156.32 = 3

Answer:

Step-by-step explanation:

f(-1)=8(-1)^2-5

f(-1)=8(1)-5

f(-1)=8-5

f(-1)=3

Answer:

3

Step-by-step explanation:

In this problem you substitute x for -1

8(-1)^2-5

Answer:

2y

Step-by-step explanation:

Simplifying

21x + -42y = 0

Solving

21x + -42y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '42y' to each side of the equation.

21x + -42y + 42y = 0 + 42y

Combine like terms: -42y + 42y = 0

21x + 0 = 0 + 42y

21x = 0 + 42y

Remove the zero:

21x = 42y

Divide each side by '21'.

x = 2y

Simplifying

x = 2y

Answer:

22.5% = 9/40 as a fraction

Step by Step Solution

To convert 22.5 percent to a fraction follow these steps:

Step 1: Write down the percent divided by 100 like this:

22.5% = 22.5/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,

22.5/100 = (22.5 x 10)/(100 x 10) = 225/1000.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(225,1000) = 25. So,

(225÷25)/(1000÷25) = 9/40 when reduced to the simplest form.

Step-by-step explanation:

Answer:

9/4, or 2 1/4 is your answer

Step-by-step explanation:

Note that 22 is a whole number, and that 5 is a decimal.

Change the decimal into a fraction. To do so, move the decimal point to the right two place values and set the number over 100

22.5 = 225/100

Simplify.

(225/100)/(25/25) = 9/4

9/4, or 2 1/4 is your answer

~

Answer:

[tex]y = -1/2x - 4[/tex]

From this, you can tell it's in slope-intercept form, has a slope of -1/2, and a y-intercept of -4.

I've included a picture of what this equation looks like.

Simplify 2/3x to 2x/3

2x/3 = -20

Multiply both sides by 3

2x = -20 × 3

Simplify 20 × 3 to 60

2x = -60

Divide both sides by 2

x = -60/2

Simplify 60/2 to 30

x = -30

Answer: B) -30

Answer:

the answer to you question is -30

Step-by-step explanation:

what you have to do is take the fraction and multiply it by its reciprocal to get it away from the x and if you multiply on one side then you have to multiply on the other side also so you would multiply -20 by 3/2 the you would get the answer of -30

Hope this helps!!!:) can I get the Brainliest?

The inequality that represents x is [tex]$x \geq 6$[/tex]. This means that the total length of all the sides of the shape must be at least 6 feet.

Let's say the total length of all the sides of the shape is represented by the variable x. We are given that the perimeter is at least 18 feet.  This can be written as an inequality: [tex]$x \geq 18$[/tex]

Since the sides of the triangle measure 3 feet, 5 feet and x-2 feet, we can express the perimeter inequality in terms of x as: [tex]$x+ 3 + 5 +x-2 \geq 18$[/tex]

Simplifying the left side of the inequality, we get: [tex]$2x + 6 \geq 18$[/tex]

Subtracting 6 from both sides, we obtain: [tex]$2x \geq 12$[/tex]

Dividing both sides by 2, we get: [tex]x \geq 6$.[/tex]

The system of the inequalities is y ≥ 2x - 2, y ≥ x - 3x. Option B

To determine a system of inequalities graphically, plot each inequality on the same coordinate plane.

Represent each inequality as a boundary line (dashed or solid, depending on the inequality sign) and shade the region that satisfies the inequality. The solution area is the overlapping shaded region where all inequalities intersect.

The points within this shared region satisfy all the given inequalities simultaneously. If there is no intersection or common shaded area, the system has no solution that satisfies all the inequalities simultaneously.

So, we have that;

y ≥ 2x - 2

y ≥ x - 3x

Learn about inequalities at: https://brainly.com/question/25275758

#SPJ3

Answer:

a = - 15 and b = - 9

Step-by-step explanation:

distribute the left side

- 15x² - 25x - 5b

For - 15x² - 25x - 5b = ax² - 25x + 45

Then the coefficients of like terms must be equal, hence

comparing coefficients of x² term ⇒ a = - 15

comparing constant term ⇒ - 5b = 45 ⇒ b = - 9

Answer: a = -15,   b = -9

Step-by-step explanation:

-5(3x² + 5x + b) = ax² - 25x + 45

-15x² - 25x - 5b = ax² - 25x + 45       distributed -5 on left side

Notice that the middle terms (-25x) are equal, so the the remaining terms will also be equal.

-15x² = ax²  ⇒  -15 = a

 -5b = 45   ⇒   b = -9

Answer:

Skewed Left

Step-by-step explanation:

First we will try to draw the histogram in order to interpret its type.

Its given that from 10-20 the frequency is 0

and 20-50 there are clusters in the histogram but the peak is there at 40-50

So by visualizing the histogram which is hereby attached depicts that the histogram is skewed left as skewed histogram is one in which the frequency starts from 0 and the highest frequency occurs at the end so as is in the given problem.

Answer:

The first one.

Step-by-step explanation:

Simply just subtract 5 from 15 to get 14^10, or D.

Answer:

C. The range of Liam's data set is 16

Step-by-step explanation:

Hello, my dear friend, I am sure the question you are intending should be corrected  (See below question), as well as the box plot should be uploaded (See attached the image of the box plot I uploaded for you).  

Q. The box plots show the data distributions for the number of laps two students run around a track each day. Which statement is true about the data?

Options:

A. The median of both data sets is 10.

B. The median of both data sets is 14.

C. The range of Liam’s data set is 16.

D. The range of Sumat’s data set is 17.

If this is the case, then the box plot shows the following data.

The median of Liam's data is 10, the range is (20-4) =16

The median of Sumat's data is 14, the range is (22-3) =19

The correct answer will therefore be:

C. The range of Liam's data set is 16  

Can you answer this:

The box plots show the data distributions for the number of laps two students run around a track each day.

Which statement is true about the data?

The difference between the medians of both data sets is 2.

The difference between the medians of both data sets is 4.

The difference between the ranges of both data sets is 2.

The difference between the ranges of both data sets is 4

Answer:

A) 25/75

C) 1/3

F) 0.3333333(repeated decimal)

Step-by-step explanation:

He started out with 75 planners, and has 25 planners left, meaning he have 25/75 (or 1/3) of the planners left.

25/75 = 1/3 = 0.333333(repeated decimal)

Answer:

one box of crackers costs $0.70

Step-by-step explanation:

Let $x be the price of 1 container of yogurt and $y be the price of 1 box of crackers.

1. Man can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. 4 containers of yogurt cost $4x and 3 boxes of crackers cost $3y. In total,

[tex]3x+4y=9.55.[/tex]

2. Man can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. 2 containers of yogurt cost $2x and 2 boxes of crackers cost $2y. In total,

[tex]2x+2y=5.90.[/tex]

3. Solve the system of two equations:

[tex]\left\{\begin{array}{l}3x+4y=9.55\\2x+2y=5.90\end{array}\right.[/tex]

Multiply the second equation by 2 and subtract it from the first equation:

[tex]3x+4y-2(2x+2y)=9.55-5.90\cdot 2,\\ \\3x+4y-4x-4y=9.55-11.80,\\ \\-x=-2.25,\\ \\x=\$2.25.[/tex]

Then

[tex]2\cdot 2.25+2y=5.90,\\ \\2y=5.90-4.50,\\ \\2y=1.40,\\ \\y=\$0.70[/tex]

By setting up a system of equations and using elimination, we find that one box of crackers costs $2.25.

To solve the cost of one box of crackers, we need to set up two equations based on the information given:

We use 'y' to represent the cost of one container of yogurt and 'c' for the cost of one box of crackers. To find the value of 'c', we can use substitution or elimination.

Let's eliminate 'y' by multiplying the second equation by 2, which gives us 4y + 4c = $11.80. Subtracting the first equation from this, we get:

c = $11.80 - $9.55

c = $2.25

So, one box of crackers costs $2.25.

Answer:

D

Step-by-step explanation:

use the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8.9}{10.9}[/tex], hence

x = [tex]sin^{-1}[/tex]( [tex]\frac{8.9}{10.9}[/tex] ) → D

Answer:

D

Step-by-step explanation:

Answer:

$210.69

Step-by-step explanation:

Firstly, just calculate how much money you earn:

40 * 10.25 = $410

Your transportation expenses = 5.25 * 5 = $26.25

Your lunch expenses = 3.85 * 5 = $19.25

Expenses for black slacks = $19.95

FICA = 7.65/100 * 410 (money you earned) = $31.365

Federal withholding = 15/100 * 410 = $61.5

State withholding = 10/100 * 410 = $41

Your discretionary income = 410 - (26.25 + 19.25 + 19.95 + 31.365 + 61.5 + 41) = $210.69

(7) is the same problem with different numbers as (4) in another question you posted: https://brainly.com/question/11799042

(8) is not correct. [tex]\mathbf u\cdot\mathbf v=(12)(-15)+(4)(-5)=-200[/tex]

(9) is not correct. The direction of the vector [tex]\langle3,4\rangle[/tex] is [tex]\theta[/tex] where

[tex]\tan\theta=\dfrac34\implies\theta=\tan^{-1}\dfrac34[/tex]

so the applied force is the vector

[tex]\mathbf F=\langle14\cos\theta,14\sin\theta\rangle=\langle11.2,8.4\rangle[/tex]

(if you're not sure how to compute the (co)sine of the inverse-tangent expression, note that a tangent of 3/4 corresponds to a right triangle with hypotenuse 5)

The object is moved 7 ft in the same direction as [tex]\mathbf F[/tex], so that its displacement is given by the vector

[tex]\mathbf d=\langle7\cos\theta,7\sin\theta\rangle=\langle5.6,4.2\rangle[/tex]

Then the work done on the object is the dot product of these two vectors,

[tex]W=\mathbf F\cdot\mathbf d=(11.2)(5.6)+(8.4)(4.2)=98\approx97[/tex]

(the discrepancy here might be coming from finding a numerical value for [tex]\theta[/tex])

(10) is correct. We can find a unit vector pointing in the direction of any vector [tex]\mathbf v[/tex] by dividing [tex]\mathbf v[/tex] by its magnitude:

[tex]\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\frac23\,\mathbf i-\frac12\,\mathbf j}{\sqrt{\left(\frac23\right)^2+\left(-\frac12\right)^2}}=\dfrac45\,\mathbf i-\dfrac35\,\mathbf j[/tex]

Answer:

Option D. [tex]\frac{24}{7}[/tex].

Step-by-step explanation:

In any right angle triangle tangent of an angle is the ratio of opposite side and adjacent side.

tan x =[tex]\frac{\text{Opposite side (24)}}{\text{Adjacent side (7)}}[/tex]

        = [tex]\frac{24}{7}[/tex]

therefore, Option D. [tex]\frac{24}{7}[/tex] is the answer.

Answer:

23/10 gallons

Step-by-step explanation:

Alicia uses 3/4 gallon of paint to paint her room.

Alicia use = 3/4 gallon of paint

Becca uses for 4/5 gallon more than Alicia to paint her room.

Becca uses = Alicia (3/4 gallons ) + 4/5

Becca uses = [tex]\frac{3}{4} + \frac{4}{5}[/tex]

Total paint used together = Aliccia used + Becca used

[tex]\frac{3}{4}+\frac{3}{4} + \frac{4}{5}[/tex]

Add like fractions 3/4 + 3/4 becomes 6/4

[tex]\frac{6}{4} + \frac{4}{5}[/tex]

Make the denominators same

[tex]\frac{6*5}{4*5} + \frac{4*4}{5*4}[/tex]

[tex]\frac{30}{20} + \frac{16}{20}[/tex]

[tex]\frac{46}{20}[/tex]

Divide top and bottom by 2

[tex]\frac{23}{10}[/tex] gallons

Answer:

3 and 4

Step-by-step explanation:

21/7 = x/1

x = 21/7*1 = 3

16/4 = y/1

y = 16/4*1 = 4

Answer:

4x+2

Step-by-step explanation:

Answer:

4x + 2

Step-by-step explanation:

The given expression is x + x + x + x + 2

We can add the like terms.

The like terms are the terms having the same variable and the same exponents. The coefficients may vary.

For examples, 3x and -2x

2xy and 3xy

In the given expressions x, x, x, x are the like terms.

So, x + x + x+ x + 2

4x + 2

Therefore, the answer is 4x + 2

Answer:

10)C 18,000

11) B 130.83

12)B or C not for sure

13) D the domain is 1 < f<7 the range is 24 < c(f)<168

Step-by-step explanation:

Final answer:

The radio station has 54,780 listeners now.

Explanation:

To find the number of listeners the radio station has now, we need to calculate the number of listeners it lost after changing its format. If the station lost 34% of its listeners, we can calculate the number of lost listeners by multiplying the original number of listeners by 0.34 (34%).

Lost Listeners = 83,000 * 0.34 = 28,220 listeners

To find the number of listeners the radio station has now, we subtract the lost listeners from the original number of listeners.

Number of Listeners Now = 83,000 - 28,220 = 54,780 listeners