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Sindrei [870]
3 years ago
11

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

Mathematics
2 answers:
mariarad [96]3 years ago
8 0

Answer: The answer is YES.

Step-by-step explanation: We are given to check whether (x - 8) is a factor of the function f(x)=-2x^3+17x^2-64.

Factor Theorem states that if (x - a) is a factor of P(x), the we must have P(a) = 0.

We have

f(8)\\\\=-2\times 8^3+17\times 8^2-64\\\\=-2\times 512+17\times 64-64\\\\=-2048+16\times 64\\\\=-1024+1024\\\\=0.

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

Nataly_w [17]3 years ago
6 0
Yes when the function f(x) = -2x3+17x2-64 is divided by x-8, the remainder is zero. Therefore, x-8 is a factor of f(x) = -2x3+17x2-64 
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A rectangle has a length of 2 + 7 and a width of 3a + 8.
Juli2301 [7.4K]

Answer:

Step-by-step explanation:

2(2x+7+3x+8)

6 0
3 years ago
The selling price for houses in a neighborhood in West Richland, WA have an approximately normal distribution with a mean sellin
Liula [17]

The probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

First, we need to find the z-score and this is expressed according to the formula;

z=\dfrac{x-\mu}{\sigma}

x is the sample space

\mu is the mean value

\sigma is the standard deviation

Given the following parameters

Mean = $275,000

Standard deviation = $10,500

If the true mean is $273,000, then;

z=\dfrac{273,000-275000}{10,500} \\z = \frac{-2000}{10500}\\z= -0.1905

If the true mean is $277,000

z=\dfrac{277,000-275000}{10,500} \\z = \frac{2000}{10500}\\z= 0.1905

This means that the z-score is between -0.1095 and 0.1095

Pr( -0.1095 ≤ z ≤ 0.1095)

According to the z table, the probability that the average selling price of the 35 homes will be within $2000 of the true mean is 0.5753

Learn more here: brainly.com/question/17436641

3 0
3 years ago
A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On ano
Orlov [11]
3,000 yd3 = 200 dtl
Chapter 1: Problem Solving 17 / 21

Rates Question
12 A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On another highway, a slide left 40,000 cubic yards on the road. How many dump truck loads would be needed to clear this slide?
3,000 yd3 = 200 dtl
40,000 yd3 × 200 dtl = 2,667 dtl
3, 000 yd3
6 0
3 years ago
Hello! :)
Drupady [299]

Answer:

The correct answer is A.

Step-by-step explanation:

The rule with a function is every input has exactly one output. In the answer choices b, c, and d all of them has a repeating input or x value.

8 0
3 years ago
F(x) = 3x + 1; g(x) = 5x - 1<br> Find f/g. (1 point)
zysi [14]

Answer:

\frac{f}{g} =\frac{3x+1}{5x-1}

x\neq \frac{1}{5}

Step-by-step explanation:

we are given

f(x)=3x+1

g(x)=5x-1

we have to find f/g

we can write as

\frac{f}{g} =\frac{f(x)}{g(x)}

now, we can plug values

and we get

\frac{f(x)}{g(x)} =\frac{3x+1}{5x-1}

so,

\frac{f}{g} =\frac{3x+1}{5x-1}

we know that denominator can not be zero

so,

5x-1\neq 0

now, we can solve for x

5x-1+1\neq 0+1

5x\neq 1

Divide both sides by 5

and we get

x\neq \frac{1}{5}

8 0
3 years ago
Read 2 more answers
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