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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:

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Help math word problem

erastova [34]

Lets x = # pounds of coffe

70 - 8.06x = 37.76

- 8.06x = - 32.24

x = 4

Answer

4 lbs

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3 years ago

Solve using the pathagorean theorem

seropon [69]

Answer:

2 sqrt(13)

Step-by-step explanation:

We can find the hypotenuse using the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

4^2 + 6^2 = c^2

16+36 = c^2

52 = c^2

Taking the square root of each side

sqrt (52) = c

sqrt(4*13) = c

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2 years ago

Give an example of a quadratic with complex roots. Explain how you know it has complex roots.

Vladimir [108]

2x^2 + x + 3=0 has only complex roots.

The determinant is 1-4*2*3 = -23

-23 (or any determinant) is the part under the square root sign, If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.

5 0

3 years ago

Simplify the expression 10-4x(6+5-1) divided by 8+7

Eddi Din [679]

Simple,

writing out the problem...

$\frac{10-4x(6+5-1)}{15}$

Simplify it...

-4x(6+5-1)

-4x(11-1)

-4x(10)

-40x

Making it look like...

$\frac{10-40x}{15}$

Cancel out the common factors...

Thus making the answer:

$- \frac{2(4x-1)}{3}$ .

8 0

3 years ago

What is P(4 ≤ X ≤ 6)? Explain. <br> If P(X ≤ a) = 0.2, what is a? Explain.

melamori03 [73]

Answer:

(a) 0.4

(b) a = 3

Step-by-step explanation:

(a) The area under the curve from x=4 to x=6 is 0.2 units high and 2 units wide, so is 0.2·2 = 0.4. (The area of a rectangle is the product of length and width.)

(b) The area is 0.2 and the height of the curve is 0.2, so the width of the region of concern is 0.2/0.2 = 1. (Again, area = height·width, or width = area/height.) 1 unit from the left end is found at X=3, so a = 3.

4 0

3 years ago