MATHEMATICS HIGH SCHOOL

Which of the following exponential functions goes through the points (1, 12) and (2, 36)?f(x) = 4(3)−x
f(x) = 3(4)−x
f(x) = 3(4)x
f(x) = 4(3)x

Answers

Answer 1
Answer: Its f(x) = 4(3)^x
As (x=1, y=12), you insert 1 into the variable and its from, 4 x (3)^1 = 12. Same as (x=2, y=36), it becomes 4 x (3)^2 = 36.
Answer 2
Answer:

Answer:

f(x)=4(3^x)

Step-by-step explanation:

Let's evaluate the functions for every given point, so, we can conclude which of them satisfy the conditions. But first, keep in mind the following:

a^(-n)=(1)/(a^n)

First function:

f(x)=4(3^(-x) )=(4)/(3^x)

For the point (1,12)

f(1)=(4)/(3^1) =(4)/(3) \neq12

This function doesn't satisfy one of the conditions.

Second function:

f(x)=3(4^(-x) )=(3)/(4^x)

For the point (1,12)

f(1)=(3)/(4^1) =(3)/(4) \neq12

This function doesn't satisfy one of the conditions.

Third function:

f(x)=3(4^x)

For the point (1,12)

f(1)=3(4^1)=3*4=12

For the point (2,36)

f(2)=3(4^2)=3*16=48\neq36

This function doesn't satisfy one of the conditions.

Fourth function:

f(x)=4(3^x)

For the point (1,12)

f(1)=4(3^1)=4*3=12

For the point (2,36)

f(2)=4(3^2)=4*9=36

This function satisfies all conditions.

Therefore, since the fourth function satisfies all conditions, we can conclude it is the function which goes through the points (1, 12) and (2, 36)

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As per the question no (a) The areas corresponding to each other are triangles ABC and DEF, and the common ratios are AB/DE = 5/2 and BC/EF = 5/2. Lets find the solution :-

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Answers

The label on the soup can has area of 62.4π square inches. The Option D is correct.

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Answers

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See attachment foe the figure.

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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