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4 years ago

Rewrite the function f of x equals 4 times one third to the 2 times x power using properties of exponents.

Mathematics

1 answer:

SCORPION-xisa [38]4 years ago

7 0

Answer:

Option 1

Step-by-step explanation:

Given : Function f of x equals 4 times one third to the 2 times x power.

To find : Rewrite the function using properties of exponents ?

Solution :

Writing the function in numeric terms,

f of x equals 4 times one third to the 2 times x power

i.e.

Solve the expression,

i.e. f of x equals 4 times one ninth to the x power.

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omeli [17]

Step-by-step explanation:

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3 years ago

A rectangular shaped pond is 16 meters long and 14 meters wide. The dimensions of a rectangular shaped lake nearby is 350%

aalyn [17]

Answer: 56 meters long and 49 meters wide

Step-by-step explanation:

Convert 350% to a decimal. 350% is 3.5. Each lenth is 3.5x larger than the original pond.

16*(3.5) =56 meters length

14*(3.5) = 49 meters width

56 meters long and 49 meters wide

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3 years ago

If the radius of a sphere is halved, what happens to the volume of the sphere? Use your algebra skills to develop a formula for

valkas [14]

Since V = (4/3) * pi * R^3

If R is halved, V' will reduce by a ratio of (1/2)^3 = 1/8

So V' = (1/8)V

4 0

3 years ago

Read 2 more answers

Which of the following is the product of the rational expression shown below

wolverine [178]

Option C: $\frac{x^{2}-9}{x^{2}-4}$ is the product of the rational expression.

Explanation:

The given rational expression is $\frac{x+3}{x+2} \cdot \frac{x-3}{x-2}$

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

Let us use the identity $(a+b)(a-b)=a^2-b^2$ in the above expression.

Thus, we get;

$\frac{x^{2} -3^2}{x^{2} -2^2}$

Simplifying the terms, we get;

$\frac{x^{2}-9}{x^{2}-4}$

Thus, the product of the rational expression is $\frac{x^{2}-9}{x^{2}-4}$

Hence, Option C is the correct answer.

6 0

3 years ago

A company manufacturers video games with a current defect rate of 0.95%. To make sure as few defective video games are delivered

RSB [31]

There would be about 19 defective products delivered.

First, let's start with the number of defective games.
100000 x 0.0095 = 950

Now, the test will catch 98% of those defects. That means 2% of the defects will get through to the consumers.
0.02 x 950 = 19

3 0

3 years ago

Read 2 more answers