Is x − 8 a factor of the function f(x) = −2x3 + 17x2 − 64? Explain. (2 points)

Answers

Answer 1

Answer:

x-8 is a factor of f(x)

Step-by-step explanation:

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the function

[tex]f(x)=-2x^3+17x^2-64[/tex]

And it's required to find if x-8 is a factor of f.

Applying the mentioned theorem, we only have to find f(8):

[tex]f(8)=-2\cdot 8^3+17\cdot 8^2-64[/tex]

Operating:

[tex]f(8)=-2\cdot 512+17\cdot 64-64[/tex]

[tex]f(8)=-1024+1088-64[/tex]

[tex]f(8)=0[/tex]

Thus, x-8 is a factor of f(x)


Related Questions

A recipe used 2/3 cup of sugar for every 2 teaspoons of vanilla. How much sugar was used per teaspoon of vanilla?

Answers

Answer:

Thank you and please rate me as brainliest as it will help me to level up

A city in Virginia averages 12 inches von
each year in 2016, the amount or
was 140996 the average, How many ches
of rain fall that years
A.52.4
B.56.2
C.58.8
D.54.8

Answers

The correct answer will be c 58.8

How many integers are between - 6,01 and 7.75?

13

14

15

16

Answers

Answer:

14 integers

Step-by-step explanation:

Given

[tex]Range: -6.01\ to\ 7.75[/tex]

Required

Determine the number of integers

Integers implies numbers without decimals; it could be positive or negative or 0.

So, within the range: the integers are:

[tex]-6, -5, -4,-3,-2,-1,0,1,2,3,4,5,6,7[/tex]

Notice that the above numbers are integers within the given range.

By counting them, we get the required number of integers.

[tex]Numbers = 14[/tex]

Hence, there are 14 integers

Simplify the followingexpression (-5)(-3)(4)

Answers

Your answer would be 60.

A negative times a negative equals a positive. This means that -5 x -3 = 15.

Then you multiply that by four and get 60.

Hope this helps and have a nice day!!

Which equation justifies why 9 1/3 = ∛9?
(9 1/3)³ = 9(1/3·3) = 9
(9 1/3)³ = 9(1/3+3) = 9
(9 1/3)³ = 9(1/3-3) = 9
(9 1/3)³ = 9(3-1/3) = 9

Answers

Answer:

(91/3)3=9(1/3-3)=9

Step-by-step explanation:

Answer:

hows your day

Step-by-step explanation:

can you please help me with this question .​

Answers

just divide 20 by 5 and you’ll get your answer

Answer:

The answer is 4

Explanation:

5 divided by 20 is 4 right?

You move right 7 units. You end at (8, 7). Where did you start?

Answers

Answer:

y=mx+b 58

Step-by-step explanation:

I need help plz help

Answers

The answer is B!!! Good luck

PLEASE HELP I WILL MARK BRAINLIEST
Find the area of a square with side length x when x is equal to the given value. Is the area of a square and the length of its side directly proportional? Justify your answer.

1. x=15 ft.
2. x=10 in.
3. x=3 in
so can you figure out the correct answers for 1,2 and 3? You have to figure out what the area of the square is for each value and you need to figure out if the area of the square and the length of its side is or is not directly proportional to quantities.

Answers

Answer:

1. 15*15

2. 10*10

3. 3*3

Step-by-step explanation:

Answer:

Square the given value

Step-by-step explanation:

1. 15^2=225

10^2=100

3^2=9

A square has sides of EQUAL length. area is length times width. So, if each side is the same, square the given value.

In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B’s total points.

Translate the scenario.

Team A =
Team B =
Team C =
The equation representing this scenario is
.

Answers

Answer:

Team A = 449

Team B = 227

Team C = 307

Equation is

(2b-5) + b + (b+80) = 983

simplyfying

4b+75 = 983

Step-by-step explanation:

Take 4b+75 = 983

b = (983 - 75)/4 = 227

now

Team A = 5 less than twice as many as team B = 2b - 5 = 2 *227-5 = 454-5= = 449

Team B = b = 227

Team C = 80 more than team B = b+80 = 227+80 = 307

or you can just subtract 983 - (Team A +Team B)

Answer:

Team A = 449

Team B = 227

Team C = 307

Equation is

(2b-5) + b + (b+80) = 983

simplyfying

4b+75 = 983

Step-by-step explanation:

the other persons answer

helppp me please will give brainliest ​

Answers

Answer:

y=-2x+11

Step-by-step explanation:

the answer would be F(y)= -2x+11

Which is a correct frost step for solving this equation

Answers

Answer:

you have to post the equation

Step-by-step explanation:

CHECK MY ANSWERS PLEASE!!


1. If OQ and RT are parallel lines which statement is true?
A) OPS is congruent to RSU
B) OPS is congruent to RSP (my answer)
C) OPS is congruent to OPN
D) OPS is congruent to TSU
-----------------------------------------
2. If OQ and RT are parallel lines which statement is true?
A) RSP is congruent to RSU
B) RSP is congruent to PST
C) RSP is congruent to TSU
D) RSP is congruent to OPS (my answer)

Answers

Answer:

1. A) OPS is congruent to RSU

2. C) RSP is congruent to TSU

Step-by-step explanation:

1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.

✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.

❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.

❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.

OPS and TSU are also not congruent.

2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:

C) RSP is congruent to TSU

How do you find
the rate of change of a function?

Answers

divided by the change in the input values.

Answer:

xfghzfgfrxeshixeah

Step-by-step explanation:

LG's SSL looks sl lid

A machine at a food-distribution factory fills boxes of rice. The distribution of the weights of filled boxes of rice has an
approximately Normal distribution, with a mean of 28.2 ounces and a standard deviation of 0.4 ounces. What
percentage of filled boxes of rice have a weight between 28 and 29 ounces?
Find the z-table here.
O 33.1%
O 36.7%
O 63.3%
66.9%

Answers

Answer:

D

Step-by-step explanation:

I got it right

Using the normal distribution, it is found that 66.9% of filled boxes of rice have a weight between 28 and 29 ounces.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by: [tex]\mu = 28.2, \sigma = 0.4[/tex].

The proportion of filled boxes of rice have a weight between 28 and 29 ounces is the p-value of Z when X = 29 subtracted by the p-value of Z when X = 28, hence:

X = 29:

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

[tex]Z = \frac{29 - 28.2}{0.4}[/tex]

Z = 2

Z = 2 has a p-value of 0.977.

X = 28:

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

[tex]Z = \frac{28 - 28.2}{0.4}[/tex]

Z = -0.5

Z = -0.5 has a p-value of 0.308.

0.977 - 0.308 = 0.669 = 66.9%.

More can be learned about the normal distribution at https://brainly.com/question/24663213

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Someone help me please


Express the cosine of < W as a ratio of the given side lengths.

Answers

cosine of W is 5/13

Find the slope
How can I find the slope ​

Answers

Answer:

You should use the y2 - y1 /x2 - x1

To find the answer you should be able to plug in the x and the y in the equation with the coordinates that you have but I'm not sure if you don't have what you'll do

2/5 is the answer

(3,1) and (-2,-1) are the two point.
You could do the y2-y1/x2-x1. Which is (-1) - 1 = -2 and (-2) - 3 = -5. Two negatives make a positive so the answer would be 2/5.

helppppp please will give brainliest​

Answers

Answer:

the value of y is 3 more than twice x

Step-by-step explanation:

we find the slope is 2 because 4/2=2

y=2x+b

we put in the first point (1,5)

5=2+b

b=3

y=2x+3

Answer:

i think its c

Step-by-step explanation:

because 4 times 1 is 4 and if u add 1 than u get 5 which is y

im not sure if this is right lmk

Write any number and its additive inverse.

Answers

Answer: Additive Inverse of 17 = -17

The two addends in an addition equation are interchangeable, which means that the answer to "What is the additive inverse of -17?" or "What is the additive inverse of negative 17?" is 17. Since the additive inverse of 17 is -17, additive inverse is also known as the opposite number.

Step-by-step explanation:

is this what you meant??

answer: 78 inverse -78

Cody's Aunt pays him $30 to walk her dogs 6 times at this rate how many times must he walk the dog in order to earn $100 ​

Answers

20 times
$5 = 1 walk
Divide 100 by 5 and you get 20

Greatest common factor for 3,27, and 33

Answers

Answer:

it's 3.

Step-by-step explanation:

Here's why........3 only has 2 factors 1 and it's self and 3 times 9 is 27 and 3 times 11 is 33 they all have 3 as a factor.

In 2015, the population of a town was 8914. The population is expected to grow at a rate of 1.36% each year. At this rate, what would be the population in 2040? Round to the nearest whole number. Enter your answer in the box.

Answers

Answer:

320904

Step-by-step explanation:

2. Paula learned to play a total of 10 pieces over the course of 5 weeks of piano lessons. In all, how
many weeks of piano lessons will Paula need before she will be able to play a total of 18 pieces?

Answers

10pieces = 5 weeks , to get how long it takes for 1 piece do 5/10 = 0.5, so 1 piece = 0.5 weeks the multiply them both by 18 to get how many weeks it would be so 18 pieces = 9 weeks

Which statements are true? Select the five correct answers.

Answers

Answer:

All except the last one

Step-by-step explanation:

[tex]\sqrt{1.9}[/tex]=1.37840488

[tex]\sqrt{1.8}[/tex]=1.34164079

Answer:

The first 5

Step-by-step explanation:

What is 7/5 into a mixed number?

Answers

Answer:

improper fraction: 7/5

mixed number: 1 2/5

Answer:

1 and 2/5 or 1 2/5

Step-by-step explanation:

7/5 is a mixed number

7 - 5 = 2

The mixed number for the fraction 7/5 is 1 and 2/5

I Hope That This Helps! :)

Use fives fact to help you solve 7 x 6. Show your work using

Answers

7 x 6 = 7 x 4 = 28
/ \ = 7 x 2 = 14
4 2 + __
42

Using the "fives fact" (5 x 6 = 30) as a starting point, we added one more group of 6 to reach the final result of 36.

To use the "fives fact" to solve 7 x 6, we can break it down into simpler calculations using the fact that 5 x 6 = 30.

Here's the step-by-step calculation:

1. Start with the "fives fact": 5 x 6 = 30.

2. Since we need to find 7 x 6, we can add another 6 to the result of 5 x 6:

  30 + 6 = 36

Therefore, 7 x 6 equals 36.

To know more about fact:

https://brainly.com/question/31006910

#SPJ6

If f(x) = 4x2 – 3x + 7, what is f(-2)?

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Assuming that you meant the first term to be 4x² then you just plug in -2 to all of the x-values in the function

• The height of a particular species of tree, in feet, r years after it is planted can be modeled by the
linear function h(x) = 5.27 +3.12x. Which of the following best interprets the y-intercept of the
linear model?
a. The average height of the species when planted is 5.27 feet.
b. The average height of the species when planted is 3.12 feet.
c. The species of tree grows by an average height of 5.27 feet per year.
d. The species of tree grows by an average height of 3.12 feet per year.

Answers

I think it’s gonna be B

7 years 5months plus 10 months equal?​

Answers

Answer:

8.25 years

Step-by-step explanation:

hope this helps :)

Find the QUOTIENT of 0.4452 and 0.06.

Answers

Answer:

7.42

Step-by-step explanation:

When you divide by something smaller than 1, the answer becomes bigger because you are trying to see how many times 0.06 can fit in 0.4452. Hope this helps

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