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2 years ago

Given the range of the function find the corresponding domain. f(x)=7x-1 Range {-2,0,4,8}

Mathematics

1 answer:

LenaWriter [7]2 years ago

8 0

f(x) = 7x - 1

-2 = 7x - 1

-2 + 1 = 7x

-1 = 7x

x = -1/7

0 = 7x - 1

1 = 7x

x = 1/7

4 = 7x - 1

4 + 1 = 7x

5 = 7x

x = 5/7

8 = 7x - 1

8 + 1 = 7x

9 = 7x

x = 9/7

So the domain is

Domain = {-1/7, 1/7, 5/7, 9/7}

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Three fourths of the fruit in a refrigerator

VashaNatasha [74]

Answer:32 fruits

Step-by-step explanation:

3/4=24/?

24÷3=8

8×4=32

4 0

2 years ago

A hardware store rents vacuum cleaners that customers may use for part or all of a day, up to 12 hours, before returning. The st

jek_recluse [69]

The flat fee that the store charges is $14 and the cost for 7 hours is $56

A linear equation is on the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

let f for the total rental cost of a vacuum cleaner for x hours

Using the points (1, 20) and (3, 32) from the table:

$f-f_1=\frac{f_2-f_1}{x_2-x_1} (x-x_1)\\\\f-20=\frac{32-20}{3-1} (x-1)\\\\f(x)=6x+14$

The flat fee that the store charges is $14

The reasonable domain is 1 ≤ x ≤ 12

The cost for 7 hours is:

f(7) = 6(7) + 14 = 46

Find out more on linear equation at: brainly.com/question/14323743

4 0

1 year ago

What is the answer to this question <br> 1/2 x -7=1/3(x-12)

timama [110]

Answer:

= 1 8 hope this helps!!! :)

Step-by-step explanation:

1 2 ⋅ −7 = 1 3 ( − 1 2 )

1 2 − 7 = 1 3 −1 2 )

1 2 − 7 = 1 3 − 1 2 )

Multiply by 1

Combine multiplied terms into a single fraction

Multiply by 1

Add to both sides of the equation

6 0

2 years ago

Read 2 more answers

Write an equation of the line passing through (-2,4) and (3,5). Give the answer in standard form.The equation of the line in sta

Alecsey [184]

Start finding the slope of the line

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{then,} \\ m=\frac{5-4}{3-(-2)} \\ k=\frac{1}{5} \end{gathered}$

using one of the points find the intercept and the standard form

$\begin{gathered} (-2,4) \\ 4=\frac{1}{5}(-2)+b \\ b=4+\frac{2}{5} \\ b=4.4 \end{gathered}$

the equation of the line is

$y=\frac{1}{5}x+4.4$

6 0

6 months ago

Sam and Liam raced each other up and then down the hill. Sam's average speed up the hill was 1 mph, and his average speed down t

Radda [10]

So, we know that it takes Sam 1 mph up and 9 mph down and it takes Liam both 2 mph down and up the hill. So if we divide the 2 mph for Liam by 2 miles (the whole length of the hill) we will get 1 or 1 hour. Then we do 1/1 (i don't know how to explain this part of why we do that, sorry) and than we do 1 / 9 and we get 1/9 so we add them and get 1 1/9 so that's Sam's time.

So, Liam took one hour and Sam took 1 and 1/9 hours, in conclusion liam was faster

<h2> (I'm really sorry for my bad explaining, i tried my best)</h2>

8 0

3 years ago