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4 years ago

Given ƒ(x) = −15x − 13, find x when ƒ(x) = −28

Mathematics

1 answer:

Eva8 [605]4 years ago

3 0

Answer:

Step-by-step explanation:

So since both equations equal f(x), we can set them equal to each other

-15x - 13 = -28

Our next step is to get x by itself on one side of the equation. To do this, you:

Add 13 to both sides

-15x = -15

Divide both sides by -15

x = 1

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Stacy is selling tickets for the school play. She has a total of 200 seats available, and there will be two types of tickets off

Ganezh [65]

She sold 74 child tickets and 126 adult tickets

Step-by-step explanation:

Stacy is selling tickets for the school play

She has a total of 200 seats available, and there will be two types of tickets offered, child and adult tickets
She sold each child ticket for $6 , each adult ticket for $10 , and made a total of $1704

We need to find how many of each ticket she sold

Assume that x is the number of child tickets and y is the number of the adult tickets

∵ She has a total of 200 seats available

∵ She sold x child tickets

∵ She sold y adult tickets

- Add x and y, then equate the sum by 200

∴ x + y = 200 ⇒ (1)

∵ She sold each child ticket for $6

∵ She sold each adult ticket for $10

∵ She made a total of $1704

- Multiply x by 6 and y by 10, then add the products and

equate them by 1704

∴ 6x + 10y = 1704 ⇒ (2)

Now we have a system of equation to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -2000 ⇒ (3)

- Add equations (2) and (3) to find x

∴ -4x = -296

- Divide both sides by -4

∴ x = 74

- Substitute the value of x in equation (1) to find y

∵ 74 + y = 200

- Subtract 74 from both sides

∴ y = 126

She sold 74 child tickets and 126 adult tickets

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0

4 years ago

PLEASE HELP ME AS SOON AS POSSIBLE

tatyana61 [14]

a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.

b) Using the function, the estimate for the population in 2020 is of 26,400.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:

m = -2400/12 = -200.

Hence the equation is:

P(t) = -200t + 29600.

2020 is 16 years after 2004, hence the estimate is:

P(16) = -200(16) + 29600 = 26,400.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

3 0

2 years ago

-2x - 5y = 13 2x - 5y =17

Flura [38]

{-2x-5y=13

<u>{2x-5y=17 </u>(+)

<em /> -2x+2x-5y-5y=13+17

-10y=30 /:(-10)

y=-3

2x-5y=17

2x-5*(-3)=17

2x+15=17

2x=2

x=1

<em>Solution: (1; -3)</em>

6 0

3 years ago

It’s for a quiz :,) any help would be appreciated!

SSSSS [86.1K]

Answer:

im pretty sure a, b, and d

Step-by-step explanation:

the domain is 3, 0 and for every y value the x value is 3

8 0

3 years ago

Im really confused and i need help asap

tangare [24]

Answer:

pray to jesus

Step-by-step explanation:

so he can you

6 0

3 years ago