Determine the zeros of f(x) = x3 + 7x2 + 10x − 6
Answers
In order to find the roots (aka zeroes) of a function, you will need to use some graphing software. Once you graph your given function, you will need to count how many times it intersects the x-axis and note where those intersections are. I attached a photo of what this function should look like graphed.
If you use software, you can pinpoint the exact locations of each root in cases like these where the lines don't intersect perfectly. Your roots look to be at about:
[tex]x = -4.45, -3, 0.45[/tex]
This will be your answer. Hope this helped you out! :-)
Related Questions
Gideon made two errors in the proof. Identify and correct the errors
Answers
Answer:
Identify: Step 6 and step 7
Correction:
I think step 6 is just not necessary and should be removed.
And step 7 should be the transitive property of equality not the Substitution Property of Equality
You are selling items from a catalog for a school fundraiser.Write and solve two inequalities to find the range of sales that will earn you between $40 and $50. Earn $5 for every $50 in sales!
Answers
You want between 40 and 50, so you want $45
45/5=9
You will need to sell $50 worth of stuff 9 times
9*50=450
you need to sell $50 worth of catalog items
To find the range of sales that will earn you between $40 and $50, you can set up two inequalities and solve them to find the minimum and maximum sales required.
Explanation:To find the range of sales that will earn you between $40 and $50, we can set up two inequalities.
First, let's find the minimum sales required to earn $40. We can use the inequality 5x >= 40, where x represents the sales. This inequality represents the condition that earning $5 for every $50 in sales should be greater than or equal to $40.
Next, let's find the maximum sales required to earn $50. We can use the inequality 5x <= 50, where x represents the sales. This inequality represents the condition that earning $5 for every $50 in sales should be less than or equal to $50.
To solve these inequalities:
For the first inequality, divide both sides by 5, giving us x >= 8. This means the minimum sales required to earn $40 is $8.
For the second inequality, divide both sides by 5, giving us x <= 10. This means the maximum sales required to earn $50 is $10.
Therefore, the range of sales that will earn you between $40 and $50 is $8 to $10.
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Consider the following set of equations: Equation M: 3y = 3x + 6 Equation P: y = x + 2 Which of the following best describes the solution to the given set of equations? No solution One solution Two solutions Infinite solutions
Answers
y = x + 2
notice how that is exactly the same as the 2nd equation.
This means they are the same line and will have infinite solutions
Answer:
I'm answering for other guy brainliest
Step-by-step explanation:
but if you still want to know, its infinite solutions
Ron is half as old as Sam, who is three times as old as Ted. The sum of their ages is 55. How old is Ron?
Answers
To find Ron's age, we set up equations based on their age relations and the total sum of their ages. After solving the system of equations, we determine that Ron is 15 years old.
The question deals with a basic age-related algebra problem. To solve for how old Ron is, we can set up a system of equations based on the information provided:
Let R represent Ron's age.
Let S represent Sam's age.
Let T represent Ted's age.
From the information:
Ron is half as old as Sam, so R = 1/2 * S
Sam is three times as old as Ted, so S = 3 * T
The sum of their ages is 55, so R + S + T = 55
Substituting the expressions for R and S in terms of T into the third equation gives:
1/2 * (3 * T) + 3 * T + T = 55
Simplifying and solving for T, we find that:
1.5T + 3T + T = 55
5.5T = 55
T = 10
Now we can find Sam's age:
S = 3 * 10 = 30
And Ron's age:
R = 1/2 * 30 = 15
Therefore, Ron is 15 years old.
-8*-4^2/7
i got 32/7?
Answers
or: " -18.2857142857142857 " ; or, round to: " -18.286 " .
_____________________________________________________
Using the correct order of operations, the "exponents" function come first.
The problem is written:
__________________________
" -8*-4^2/7 " ,
In this case, we take the "-4² " ; which is: " (-4)*(-4) = 16.
Then we do the multiplication and division, in the order in which they occur, from left to right.
So, we would have: " (-8)*(16) = -128. \
Then: " (-128)/ 7 = -18.2857142857142857 = -18 6/7 " .
or: round to: " -18.286 " .
________________________________________________________
The game stop is having a sale and all games are reduced by 55%. If a game is now $29.99, what was the original price? Round your answer to the nearest cent
Answers
Jean has 1/3 cup of walnuts for each serving of salad she makes. She has 2 cups of walnuts. How many serving can she make?
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3 servings x 2 cups= 6 servings total
express 0.7033 as a mixed number
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7033/10,000
Note that this cannot be a mixed number because 10,000, the denominator, is greater than 7033, the numerator.
You may have misspelled or typoed the question, or the question might be wrong, because 0.7033 can't be written as a mixed number.
0.7033 as a mixed number is 7033/10,000.
Understand that 0.7033 is a decimal number less than 1, meaning it will be represented as a proper fraction.
Since the decimal extends to four decimal places, the denominator will be ,
10,000 (as 10⁴ = 10,000).
= 7033/10,000.
The greatest common divisor (GCD) of 7033 and 10,000 is 1, meaning 7033/10,000 is already in its simplest form.
Therefore, the mixed number representation of 0.7033 is 7033/10,000.
Richard had a balance of −$322.25 in his account, and Scott had a balance of −$241.75 in his account. Which statement explains why Richard owes the bank more than Scott?
Answers
Answer: The answer is B if you don't know what B is here:
|–322.25| > |–241.75| is the correct answer.
Hope this helps!
Step-by-step explanation:
Macy wants to buy a skateboard for $42. She has $95 in her account. She spent $12.99 to buy stationary. She also wants to buy some ice cream bars for $3.07 each. What is the maximum number of ice cream bars, n, that Macy can buy so that she has enough money left to buy the skateboard
Answers
Answer:
She can buy 13 ice cream bars
Step-by-step explanation:
Mrs.Lin is planning her daughters birthday party. At parties r us the fee is $80 plus $10 per child. At birthday palace, the fee is $150 plus $5 per child. Write and solve an equation to determine how many children must be invited for the costs to be equal?
Answers
80 + 10x = 150 + 5x
10x = 70 + 5x
x = 14
Check:
80 + 10 (14) = 220
150 + 5 (14) =220
The total charge on 6 particles is -48 units. All the particles have the same charge.
What is the charge on each particle?
Answers
6 particles ( n charge) = -48 units
1 particle ( n charge) = ?
6n = -48
n = -8.
Each particle has a charge of -8 units. This is how 6 of them gives a total charge of -48 units.
The table below shows the values for the function y=f(1/5x)
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The Hawks soccer team won 12 out of 14 games. If this rate continues, how many games will they win if they play a
total of 21 games?
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The length of a rectangle is 4 inches more than its width. The area of the rectangle is equal to 4 inches less than 5 times the perimeter. Find the length and width of the rectangle. SOME HELP WITH THIS PLEASE
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The area of the rectangle is [tex]A=w(w+4)= w^{2}+4w [/tex].
The perimeter of the rectangle is:
P = 2(Width + Length)=2(w+w+4)=2(2w+4)=4w+8
"The area of the rectangle is equal to 4 inches less than 5 times the perimeter." means that:
A = 5P - 4
[tex]w^{2}+4w=5(4w+8)-4[/tex]
[tex]w^{2}+4w=20w+40-4[/tex]
[tex]w^{2}-16w-36=0[/tex]
add and subtract 64 to complete the square:
[tex]w^{2}-16w+64-64-36=0[/tex]
[tex](w^{2}-16w+64)=100[/tex]
[tex](w-8)^{2}=10^{2} [/tex]
thus w= 18 or w=-2, but the width clearly cannot be negative.
w=18, the length is 18+4 = 22 (in)
Answer:
w=18 in, l=22 in
A graph is shown below:
A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9, 18, 27, 36, and 45. Points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0. These points are connected by a line
What is the equation of the line in slope-intercept form?
y = 36x − 3
y = −3x + 36
y = −3x + 12
y = −12x + 3
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b = 36
m = (y2 - y1) / (x2 - x1)
m = (27 - 36) / (3 -0) = -3
So, the equation of the line would be y = -3x + 36.
228% of what number is 33.06
Answers
Please help
Thanks in advance
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\frac{20}{-20}-2(5-10) \\ \\
-1-2(5-10)\\ \\
-1-2(-5)
\\ \\-1+10
\\ \\9
[/tex]
Final answer: 9
Which of these is the algebraic expression for "eight less than some number?"
8 − b
b − 8
Fraction 8 over b
Fraction b over 8
best answer gets brainl;iest
Answers
Which equation can be used to calculate the area of the shaded triangle below? A rectangle with length of 10 feet and width 6 feet. A diagonal cuts the rectangle into two halves. One of the triangular halves is shaded.
Answers
Fill in the appropriate values
(10*6)/2=30 ft^2
Answer:
fraction 1 over 2 (10 × 6) = 30
Step-by-step explanation:
what would be the value of 150 after eight years if you earn 12 percent interest per year
Answers
So.....
Simple Interest:
0.12 * 150 = 18
18 * 8 = 144
144 + 150 = $294
Compound Interest:
150(1 + 0.12)^8
150 * 1.12^8
150 * 2.475 = $371
Answer:
$371.3944
Step-by-step explanation:
Principal = 150
Time = 8 years
Rate of interest = 12% = 0.12
No. of compounds per year = n = 1
Formula: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where A is the amount
P is the principal
r is the rate of interest in decimals
t = time in years
n = no. of compounds per year
Substitute the values in the formula :
[tex]A=150(1+\frac{0.12}{1})^{8}[/tex]
[tex]A=371.3944[/tex]
Hence the value of 150 after eight years if you earn 12 percent interest per year is $371.3944
Find the exact value of tan 2x if tan x=7/11, and pi[tex] \leq
[/tex]x[tex] \leq [/tex] 3pi/2
Answers
tan 2x=[2tan x]/[1-tan^2 x]
given that tan x=7/11
then:
tan 2x=[2*7/11]/[1-(7/11)^2]
=[14/11]/[1-49/121]
=[14/11]/[72/121]
=77/36
HELP PLEASE!!1!
Part A
First, take a look at Preston’s sequence. How does a 180-degree rotation about the origin change the coordinates of a shape?
How does a translation 7 units up change the coordinates of a shape?
Now look at Chanel’s sequence. How does a reflection across the x-axis change the coordinates of a shape?
please, help me
Answers
180° rotation about the origin change the coordinates from (x,y) to (-x,-y). In this exercise:
A = (-4, 5) -> (4, -5)
B = (-3, 1) -> (3, -1)
C = (-5, 2) -> (5, -2)
Translation 7 units up change the coordinates from (x, y) to (x, y+7). Continuing with the exercise:
(4, -5) -> (4, 2)
(3, -1) -> (3, 6)
(5, -2) -> (5, 5)
Which are not the coordinates of triangle DEF.
Reflection across the x-axis change the coordinates from (x, y) to (x, -y). In this exercise:
A = (-4, 5) -> (-4, -5)
B = (-3, 1) -> (-3, -1)
C = (-5, 2) -> (-5, -2)
In 180 rotation (x,y) becomes (-x,-y) , In translation 7 units (x, y) becomes (x, y+7) and in reflection across x-axis (x, y) becomes (x, -y).
180° rotation about the origin change the coordinates from (x,y) to (-x,-y). It means if an object having coordinates (3,4) then it will be (-3,-4).
Translation 7 units up change the coordinates from (x, y) to (x, y+7). It means if an object having coordinates (3,4) then it will be (3,4+7).
Reflection across the x-axis change the coordinates from (x, y) to (x, -y). It means if an object having coordinates (3,4) then it will be (3,-4).
Hence we can summarize the above phenomenon as in 180 rotation (x,y) becomes (-x,-y) , In translation 7 units (x, y) becomes (x, y+7) and in reflection across x-axis (x, y) becomes (x, -y).
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In which situation is the distance traveled proportional to time? A: An airplane landing
B;A soccer ball you kick across a field C:A person running on a treadmill at 3 mph for 6 minutes D:A 3 -minute ride on a roller coaster
Answers
Answer:
Step-by-step explanation:
you add it my g
Answer:
C: A person running on a treadmill at 3mph for 6 minutes
Step-by-step explanation:
I just had the question and got it right.
Which expression is equivalent to radical of 10 over ^4 and the radical of 8.
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------ = ------
4√8 8
The sum of 38 and twice a number is 24
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38 +2N = 24
2N = -14
N = -14/2 = -7
the number is -7
An item is regularly priced at $75. It is on sale for 40% off the regular price. How much (in dollars) is discounted from the regular price?
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answer
it is discounted $30 from the regular price
what is ten times as much as 4.9
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The question wants to find out what is ten times as much as 4.9. By multiplying 4.9 by 10. The answer is 49.
Explanation:The student is asking about multiplication which is an operation in Mathematics. In this case, the student wants to know what is ten times as much as 4.9. To find the answer, we need to multiply 4.9 by 10. The multiplication process is as follows:
4.9 x 10 = 49
So, ten times as much as 4.9 is 49.
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suppose the university bursar said that 600 student entered for business mathematics 300 entered for statistics while 173 students entered for both business mathematics and statistics how many student enrolled in the two courses altogether
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x = 600 - 173 = 427
In similar manner, we solve for the number of students enrolled for only statistics
y = 300 - 173 = 127
The total number of students enrolled in two courses altogether is the sum of x and y and 173.
T = 427 + 127 + 173 = 727
Thus, all in all there are 727 students enrolled in the two courses.
Bart takes a random sample of 50 students in his seventh grade class and finds that 40% of the sample prefers chocolate ice cream over vanilla ice cream. There are 200 students in the seventh grade. Based on the sample proportion , How many students in the seventh grade would be expected to prefer chocolate ice cream over vanilla ice cream??????
Which answer is correct 40,80,50,200
Answers
Hope the explanation helped!
The number of students in the seventh grade would prefer chocolate ice cream over vanilla ice cream is 80
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
If 40% of the sample of 50 students prefer chocolate ice cream, we can use that percentage to estimate the number of students who prefer chocolate ice cream out of the entire seventh-grade class of 200 students.
40% of 50 = (40/100) x 50 = 20 students in the sample prefer chocolate ice cream.
On simplifying the proportion , we get
To estimate the number of students in the entire seventh-grade class who prefer chocolate ice cream, we use the same percentage:
40% of 200 = (40/100) x 200 = 80 students in the seventh grade are expected to prefer chocolate ice cream over vanilla ice cream.
Hence , based on the sample proportion, we can estimate that 80 students in the seventh grade would prefer chocolate ice cream over vanilla ice cream.
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