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3 years ago

Which function is the inverse of f(x) = -5x-42

Mathematics

1 answer:

Aleksandr [31]3 years ago

6 0

Answer:

f'(x)=-(x+42)/5

Step-by-step explanation:

Rewrite f(x) as y:

y=-5x-42

Flip x and y and solve for y:

x=-5y-42

x+42=-5y

(x+42)/-5=y

So the inverse function is f'(x)=-(x+42)/5 (note that f' means inverse)

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The bear population increases at a rate of 2% per year. There are

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Answer:

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3 years ago

7. Which of the following can be determined from the graph below?

tatyana61 [14]

Answer:

The ordered pair (6,25) is a solution to both

$y=-\frac{5}{2}x+40$ and $y=\frac{5}{3}x+15$

Step-by-step explanation:

Part 7)

step 1

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{30-15}{9-0}$

$m=\frac{15}{9}$

simplify

$m=\frac{5}{3}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=\frac{5}{3}$

$b=15$

substitute

$y=\frac{5}{3}x+15$

step 2

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{20-40}{8-0}$

$m=-\frac{20}{8}$

simplify

$m=-\frac{5}{2}$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-\frac{5}{2}$

$b=40$

substitute

$y=-\frac{5}{2}x+40$

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both $y=-\frac{5}{2}x+40$ and

$y=\frac{5}{3}x+15$

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3 years ago

The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an al

Mama L [17]

Answer:

Explained below.

Step-by-step explanation:

The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.

Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.

(a)

A sample of size 50.

Then the value of k will be: $k=\frac{4502}{50}=90.04\approx 50$

Thus, the value of k is 90.

(b)

Label the employees from 1 to 4502.

And select every 90th employee.

So, the individuals who will be administered the survey are:

90th, 180th, 270th,...

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3 years ago

The financial statements of the Tyler Company report net sales of $300,000 and accounts receivable of $50,000 and $10,000 at the

iragen [17]

Answer:

the accounts receivable turnover for the Tyler Company is 10

Step-by-step explanation:

The company report :

net sales = $300,000

account receivable = $50,000 and $10,000

to find the accounts receivable turnover, use the following formula:

accounts receivable turnover = net sales : average account receivable

First, we need to calculate the average account receivable of the company

average accounts receivable = ($50,000+$10,000) : 2

= $60,000 : 2

= $30,000

Then, substitute net sales into the formula

accounts receivable turnover = $300,000 : $30,000

= 10

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Answer:

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Step-by-step explanation:

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