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3 years ago

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Mathematics

1 answer:

Nutka1998 [239]3 years ago

7 0

Answer:

Step-by-step explanation:

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Perform each indicated operation

MissTica

Answer: $\frac{x+6}{x-4}$

Step-by-step explanation:

First you need know some general formuals of factorization such as

$x^3+y^3=(x+y)(x^2-xy+y^2)$ so you have $x^3+64=X^3+4^3=(x+4)(x^2-4x+4^2)$

And, $x^2-y^2=(x-y)(x+y)$ so you have $2x^2-32=2(x^2-16)=2(x^2-4^2)=2(x+4)(x-4)$

If you use them, then you can modify your equations such as

$\frac{x^3+64}{2x^2-32}$ ÷ $\frac{x^2-4x+16}{2x+12}$ = $\frac{(x+4)(x^2-4x+4^2)}{2(x+4)(x-4)}$ ÷ $\frac{x^2-4x+16}{2(x+6)}$ = $\frac{(x+4)(x^2-4x+4^2)}{2(x+4)(x-4)} . \frac{2(x+6)}{{x^2-4x+16}} = \frac{1}{x-4}.\frac{x+6}{1}=\frac{x+6}{x-4}$

4 0

3 years ago

Given f(x) = x − 7 and g(x) = x2 Find F(g(4))

Thepotemich [5.8K]

Answer:

g(f): x -> 2(x-7)=2x-14 , g(f)(-1)=2*(-1)-14=-16

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The square of a non-zero number is equal to 70% of the original number. What

aleksandr82 [10.1K]

Answer:

0.7.

Step-by-step explanation:

x^2 = 0.7x

x^2 - 0.7x = 0

x(x - 0.7) = 0

x = 0, 0.7.

3 0

2 years ago

A circle has a radius of 5.4 m. what is the exact length of an arc formed by a central angle measuring 60°? enter your answer in

velikii [3]

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

<h3>What is the Length of an Arc?</h3>

The length of an arc is given by the formula,

$\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}$

where

θ is the angle, which arc creates at the centre of the circle in degree.

The length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° can be written as

$\text{Length of the Arc} = 2\pi r \dfrac{\theta}{360}$

$= 2 \times \pi \times 5.4 \times \dfrac{60}{360}\\\\=5.655\rm\ m$

Hence, the length of the arc of the circle with a radius of 5.4 m and the central angle measuring 60° is 5.655 meters.

Learn more about Lenght of the Arc:

brainly.com/question/1577784

3 0

2 years ago

A stretched spring has a length of 12 inches when a weight of 2 lbs is attached to the spring. The same spring has a length of 1

Advocard [28]

The way I figured this one out was saying that if it takes 2lbs to stretch it to 12 inches and 5lbs to stretch to 18 inches that means that 3 additional pounds = 6 inches. Therefore, each additional pound is 2 inches. We know already that with 2 lbs it was 12 inches in length and we can also say that 2 lbs = 4 inches. So subtract 4 from 12 and you end up with the answer of 8 inches.

8 0

3 years ago