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3 years ago

Which choices are common factors of the numerator and denominator of the

Mathematics

1 answer:

antoniya [11.8K]3 years ago

4 0

Answer:

E. 2.

F. 1.

Step-by-step explanation:

24 = 2 *2 *2 *3 * 1

2 = 2 * 1

So, comparing the 2 lists, the common factors are 2 and 1.

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What is the factorization of the trinomial below?x3 - 12x2 + 35x?

Fed [463]

X³ - 12x² + 35x

x(x² - 12x + 35)

x(x-5)(x-7)

4 0

3 years ago

Read 2 more answers

- 21-p-11)<br><br> Giving branliest

posledela

Answer:

-32-p

Step-by-step explanation:

you combine the like terms which would be -21 and -11. that gives you -32 and -p is just by its self since there are no terms to combine it with

6 0

3 years ago

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

3 years ago

Write two numbers that multiply to the value on top and add to the<br> value on bottom.

Airida [17]

I think the answer is 2 and -15. Because 2 times - 15 is -30 and 2 and -15 can be added to -1.

4 0

3 years ago

Whats 560,233,827,222,400 X 2 my computer doesnt respond <br> also whats 8,591,715,599,360 X 2

levacccp [35]

The first answer is 1120,467,654,444,800

the second answer is 17,183,431,198,720

6 0

3 years ago