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White raven [17]
3 years ago
12

F(x) = 3x^2 -15 g(x) = 1 -2/3x

Mathematics
1 answer:
Oliga [24]3 years ago
8 0

Answer:

f(g(-6)) is equal to 60

Step-by-step explanation:

We can simply solve this by first plugging -6 into function 6, and then applying function f to the result of that.

f(g(-6))\\= f(1 - \frac{2(-6)}{3})\\= f(1 - \frac{-12}{3})\\\\= f(1 + 4)\\= f(5)\\= 3(5)^2 - 15\\= 3 * 25 - 15\\= 75 - 15\\= 60

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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
1 year ago
FInd the unknown value of:<br> 18 = 3 + x<br> x = ?
stira [4]

the answer to the equation is x=15

8 0
2 years ago
Simplify 2x2 - y for x = 3 and y = -2.<br><br> 10<br> 16<br> 20<br> 14
RoseWind [281]

Answer:

20

Step-by-step explanation:

Given

2x² - y ← substitute x = 3 and y = - 2 into the expression

= 2(3)² - (- 2)

= 2(9) + 2

= 18 + 2

= 20

6 0
3 years ago
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Paraphin [41]
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2 years ago
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Answer:

7x-11

Step-by-step explanation:

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