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3 years ago

Given the domain -4,0,5 what is the range for 12x+6y=24

Mathematics

2 answers:

Svetllana [295]3 years ago

6 0

Range for -4,0,5 are 12,4,-6. (-4, 12) ,(0,4),(5,-6)

sweet [91]3 years ago

4 0

Answer:

The range is -6, 4 , 12.

Step-by-step explanation:

If the domain is -4,0,5, x can only be -4 or 0 or 5.

Substitute each of these x-values into the equation 12x+6y=24. Then isolate to find the possible values of x.

Sub x for -4

12x+6y=24

12(-4)+6y=24

-48+6y=24

6y = 72

y = 12

Sub x for 0

12x+6y=24

12(0)+6y=24

6y = 24

y = 4

Sub x for 5

12x+6y=24

12(5)+6y=24

60 + 6y = 24

6y = -36

y = -6

The possible values of y are -6, 4 ,12 which is the range.

In set notation: R = {y|y=-6,4,12}

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3 years ago

Simplify -1-5 + 21.

BlackZzzverrR [31]

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Step-by-step explanation:

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4 years ago

Camille put three and four-hundredths gallons of gasoline in her car. What decimal number represents the number of gallons she b

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3.04

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3 years ago

Place the steps for finding f -1(x) f(x)=2x+5

olya-2409 [2.1K]

Answer:

$f^{-1}(x) = \frac{x-5}{2}$

Step-by-step explanation:

$f(x) = 2x+5$

Step 1) Replace y = f(x)

$y = 2x+5$

Step 2) Exchange x and y

$x =2y+5$

Step 3) Solve for y

$x =2y+5$

Subtracting both sides by -5

$x - 5= 2y$

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

Step 4) Replace $y = f^{-1}(x)$

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3 0

3 years ago

An executive for the movie production company wants to create a function that models this data. . Create a function that can be

stich3 [128]

Functions can be modeled by equations, tables and graphs

The equation that models the function is $y = \frac 14x +1$
The domain of the function is the set of whole numbers
The company should expect 4 box office gross in week 10

<h3>How to determine the function</h3>

From the question, we have the following ordered pairs

(x,y) = (0,1) and (4,2)

The function is a linear function.

So, we start by calculating the slope (m) using:

$m = \frac{y_2 - y_1}{x_2 -x_1}$

Substitute known values

$m = \frac{2 - 1}{4 - 0}$

$m = \frac{1}{4}$

The equation is then calculated as:

$y = m(x -x_1) +y_1$

This gives

$y = \frac 14(x -0) +1$

$y = \frac 14x +1$

The domain of the above function is the set of whole numbers

Substitute 10 for x, to calculate the number of box office gross for week 10

$y = \frac 14 * 10 +1$

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Approximate

$y = 4$

Hence, the company should expect 4 box office gross in week 10

Read more about linear functions at:

brainly.com/question/15602982

5 0

2 years ago