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2 years ago

What is the greatest common factor of the numerator of ?

Mathematics

1 answer:

Annette [7]2 years ago

4 0

The greatest common factor of the numerator and denominator of the rational expression is x - 4

<h3>How to determine the greatest common factor?</h3>

The fraction expression is given as:

$\frac{5x-20}{x^2-2x-8}$

Factorize the numerator and the denominator

$\frac{5x-20}{x^2-2x-8} = \frac{5(x-4)}{(x- 4)(x + 2)}$

Cancel out the common factor

$\frac{5x-20}{x^2-2x-8} = \frac{5}{(x + 2)}$

The common factor that was canceled out is x - 4

Hence, the greatest common factor of the numerator and denominator of the rational expression is x - 4

Read more about greatest common factors at:

brainly.com/question/10076354

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Tommy took one of his friends out to dinner. The dinner cost $100 and he paid 3% sales tax. If Tommy left an 18% tip on the $100

nalin [4]

Answer:

121

Step-by-step explanation:

3% of 100 = 3

18% of 100 = 18

100+3+18=121

6 0

3 years ago

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Taletha is preparing for an exam in Algebra II. She knows she will be expected to determine if two functions are inverses of eac

seropon [69]

Answer:

f ○ g(x) = x and g ○ f(x) = x is the correct composition

Step-by-step explanation:

INVERSE FUNCTIONS: Two functions are said to be inverse of each other if for every y = f(x), there exists a function g(x),

such that x = $f^{-1} (y)$ = g(y)

Now, here if we need to show tha two functions f(x) and g(x) are inverse functions of each other , then show that for every x:

1. f o g(x) = f(g(x))= x

2. g o f(x) = g(f(x)) = x

If any two functions satisfy these two conditions, then they are inverse of each other.

5 0

3 years ago

What is the formula for the radius of a circle?

gizmo_the_mogwai [7]

The radius is half the diameter, so the formula would be r=d divided by 2

7 0

3 years ago

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Simplify (6x2 + 11x − 3) + (2x2 − 17x − 4).

d1i1m1o1n [39]

Answer:

B. 8x^2-6x-7

Step-by-step explanation:

All you have to do is combine the like terms.

Like terms are the terms that have the same variable and same exponent.

The like terms in this equation are 6x^2 and 2x^2, 11x and -17x, and -3 and -4.

When you add 6x^2 and 2x^2, you get 8x^2

When you add 11x and -17x, you get -6x

When you add -3 and -4, you get -7.

Putting these all in order, your answer is

8x^2 - 6x - 7

8 0

2 years ago

Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = ?16t + 160t + 12

insens350 [35]

Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

To find : How long will it take for the flare to hit the ground?

Solution :

The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

$-16t^2+ 160t + 120=0$

Applying quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where, a=-16, b=160 and c=120

$x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}$

$x=\frac{-160\pm\sqrt{33280}}{-32}$

$x=\frac{-160\pm 182.42}{-32}$

$x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}$

$x=−0.70,10.70$

Reject the negative value.

Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.

4 0

3 years ago