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2 years ago

F(x)=2x +4^x, find f^-1(6)

Mathematics

1 answer:

lana [24]2 years ago

8 0

Answer:

Step-by-step explanation:

If you plug 1 into f(x) you get 6 so f^-1 is 1

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NikAS [45]

Answer:

Polynomial

Step-by-step explanation:

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2 years ago

Which expressions are equivalent to the one below?check all that apply. 21^x/3^x

mafiozo [28]

C and E and F are all the correct answers

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2 years ago

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sveta [45]

Answer:

A is the correct answer :)

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2 years ago

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Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

$v=\frac{1}{3}\pi r^2 h$

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

<em>We select the positiv value.</em>

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

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2 years ago

An electric guitar is on sale at 40% off. if the sale price is 179.94 ,what is the original.

n200080 [17]

Let x = original price
Knowing that multiplying the original price and the discount is the discount price. We formulate:
x(1 - 0.40) = 179.94
x(0.60) = 179.94
x = 179.94/0.60
x = 299.9
That is about 300 of the original price.

7 0

2 years ago