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2 years ago

If f(x) and r1(x) are inverse functions of each other and f(x)=2x+5 , what is f^-1(8) ?

Mathematics

1 answer:

GenaCL600 [577]2 years ago

5 0

Answer:

3/2

Step-by-step explanation:

Given y = 2x + 5, let's rewrite the equation in terms of x;

y = 2x + 5 => Bring 5 to the other side

2x = y - 5 => Divide either side by 2

x = (y - 5)/2

If we want to take the inverse, simply swap the variable's positions...

We have y = (x - 5)/2

Now let's determine f^-1(8), substituting for "y" provided y is our inverse, f^-1

f^-1(8) = (8 - 5)/2 = 3/2

Solution: 3/2

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A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How

Novay_Z [31]

Answer:

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is $V=\frac{4}{3}\pi r^3$

Differentiate the above formula with respect to time.

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

Substitute the respective values in the above formula,

$3=4\pi 6^2\frac{dr}{dt}$

$\frac{1}{48\pi}=\frac{dr}{dt}$

The rate rate of change of radius is $\frac{1}{48\pi}$ inches per second when the diameter is 12 inches.

When d=16

$3=4\pi 8^2\frac{dr}{dt}$

$\frac{3}{256\pi}=\frac{dr}{dt}$

Thus, the radius is changing more rapidly when the diameter is 12 inches.

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2 years ago

An international company has 18,700 employees in one country. If this represents 17.8% of the company's employees, how many empl

inessss [21]

I got 3,328 hope this helps

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2 years ago

Read 2 more answers

Recipe calls for 2 1/2 cups flour. i want to make 2/5 of the recipe. how much flour should i use?

WARRIOR [948]

To find the answer ,multiply 2 1/2 by 2/5
(2/5)*(2 1/2)=1
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2 years ago

23 x 10% 8 written as a scientific notation

tigry1 [53]

Answer:

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2 years ago

-x + 2y= -1 <br> x= -15<br> value of y?

kolbaska11 [484]

Simply plug in -15 for x in our given equation.

-x + 2y = -1

-(-15) + 2y = -1

Simplify.

15 + 2y = -1

Subtract 15 from both sides.

2y = -1 - 15

Simplify.

2y = -16

Divide both sides by 2

Y = -8

Hope I helped :)

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2 years ago