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Marysya12 [62]
1 year ago
14

The function f(x) = 2x 1 represents the altitude of a plane, where x is the time in minutes. the function g(x) = x2 − 10 represe

nts the time in minutes, where x is the height in thousands of feet of the plane. what is the value of f[g(10)]? 271 181 90 21
Mathematics
1 answer:
Lostsunrise [7]1 year ago
5 0

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then $g(x) =x^2-10 exists g(10) = 90.

The value of g(10), we have to substitute in every x of f(x), the

f(x) = 2x + 1 exists f(90) = 181

Therefore, the value of f[g(10)] exists 181.

<h3>How to estimate the value of f[g(10)]?</h3>

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then

$g(x) =x^2-10

substitute the value of x = 10

$g(10) = (10)^2-10

simplifying the equation, we get

g(10) = 100 - 10

g(10) = 90

We have the value of g(10), we have to substitute in every x of f(x), then

f(x) = 2x + 1

substitute the value of x = 90

f(90) = 2(90) + 1

simplifying the equation, we get

f(90) = 180 + 1

f(90) = 181

The value of f[g(10)] exists 181.

Therefore, the correct answer is option b) 181.

To learn more about functions refer to:

brainly.com/question/27063206

#SPJ4

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The universal set in this diagram is the set of integers from 1 to 15. place the integers in the correct place in the venn diagr
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Step-by-step explanation:

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Solution :

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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
Alika [10]

The population of the moose after 12 years is 7692

Step-by-step explanation:

The form of the exponential growth function is y=a(b)^{x} , where

  • a is the initial value
  • b is the growth factor

The table:

→  x  :  y

→  0  :  40

→  1   :  62

→  2  :  96

→  3  :  149

→  4  :  231

To find the value of a , b in the equation use the data in the table

∵ At x = 0 , y = 40

- Substitute them in the form of the equation above

∵ 40=a(b)^{0}

- Remember any number to the power of zero is 1 (except 0)

∴ 40 = a(1)

∴ a = 40

- Substitute the value of a in the equation

∴ y=40(b)^{x}

∵ At x = 1 , y = 62

- Substitute them in the form of the equation above

∵ 62=40(b)^{1}

∴ 62 = 40 b

- Divide both sides by 40

∴ 1.55 ≅ b

∴ The growth factor is about 1.55

- Substitute its value in the equation

∴ The equation of the population is y=40(1.55)^{x}

To find the population of moose after 12 years substitute x by 12 in the equation

∵ y=40(1.55)^{12}

∴ y ≅ 7692

The population of the moose after 12 years is 7692

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

7 0
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