If h(2) = 3 and h'(2) = -7, find d/dx(h(x)/x) x = 2.

Answers

Answer 1

Answer:

Answer: -17/4

Work Shown

$\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right) = \frac{\frac{d}{d\text{x}}(h(\text{x}))*\text{x}-h(\text{x})*\frac{d}{d\text{x}}(\text{x})}{\text{x}^2} \ \text{ .... quotient rule}\n\n\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right) = \frac{h'(\text{x})*\text{x} - h(\text{x})}{\text{x}^2}\n\n$

Evaluate that at x = 2.

$\frac{h'(\text{x})*\text{x} - h(\text{x})}{\text{x}^2}\n\n=(h'(2)*2 - h(2))/(2^2)\n\n=(-7*2 - 3)/(2^2)\n\n=-(17)/(4)\n\n$

Therefore,

$\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right)=-(17)/(4) \ \text{ when h(2) = 3, h'(2) = -7, and x = 2}\n\n$

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Solve the given polynomial equation. Use the Rational Zero Theorem and Descarte's Rule of Signs as an aid in obtaining the first root.6x^3-7x^2-6x-1=0What is the solution set?
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Help please help ghelp

Answers

Answer:

6,14

Step-by-step explanation:

yeah that is the answer

because if you substitute you get the answer

Answer:

Step-by-step explanation:

6=x

14=y

input those 2 values into the equation

The table below shows the amount of money, in hundreds of dollars, Elliot has saved after different numbers of years:Years (x) 1 2 3 4 5 6
Money (y) (hundreds of dollars) 15 30 45 60 75 90

Identify the function that represents Elliot's savings and the amount that Elliot will have saved in 9 years.
(A)y = 15x, in 9 years he will have saved $13,500
(B)y = x + 15, in 9 years he will have saved $2,400
(C)y = 6x, in 9 years he will have saved $5,400
(D)y = x + 90, in 9 years he will have saved $9,900

Answers

A is the correct answer.

-7+6(n-1) find the fourth term

Answers

Answer:

Step-by-step explanation:

To find the 4th term, you simply put 4 in for n because n denotes which term:

$-7+6(n-1)=-7+6(4-1)=-7+6*3=-7+18=11$

The answer is thus 11.

Given f(x)=-3x+8, find f^-1(x) then state wheter F^-1 (x) is a function

Answers

Answer:

f⁻¹(x) = (8-x)/3 and it is a Function.

Step-by-step explanation:

Given is f(x) = -3x+8

Suppose y = f(x), then y = -3x + 8

Solving for x:-

-3x + 8 = y

-3x = y - 8

3x = 8 - y

x = (8-y)/3

Now interchanging x and y:-

y = (8-x)/3

Here, y is inverse function i.e. f⁻¹(x)

Hence, f⁻¹(x) = (8-x)/3

Since f⁻¹(x) is a linear expression of x, therefore it is a function.

At the Lira Store for Girls, socks are on sale this week for $1.29 a pair. The regular selling price is $1.79 a pair. What is the markdown rate?

Answers

If you would like to know the markdown rate, you can calculate this using the following steps:

x% of $1.79 is $1.29
x% * 1.79 = 1.29
x/100 * 1.79 = 1.29
x = 1.29 * 100 / 1.79
x = 72.07%

100% - 72.07% = 27.93%

The final price is 27.93% decreased.

I need to know. is this a function? yes or no? y = 1/4x

Answers

Answer: Yes y=1/4x is a function because it crosses through the orgin once, Straight through the middle. Plus it's linear slope of 4.

Answer:

yes it is a function it crossed the x

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