Will give brainly if right

[Algebra 2] Find the quotient with the necessary restrictions.

Tatiana [17]

Answer:

The correct answer is: 3x² (4x - 1) / (x - 4) (x - 3) ∧ restriction x ≠ 3, x ≠ 4, x ≠ 0 and x ≠ 1/4

Step-by-step explanation:

Given:

((16x² - 8x + 1) / (x² - 7x + 12)) : ((20x² - 5x) / 15x³) =

dividing with one fraction is the same as multiplying with its reciprocal value

((16x² - 8x + 1) / (x² - 7x + 12)) · (15x³ / (20x² - 5x))

First we need to factorize both numerators and denominators

16x² - 8x + 1 = (4x - 1)² This is square binomial

x² - 7x + 12 = x² - 4x - 3x + 12 = x (x - 4) - 3 (x - 4) = (x - 4) ( x - 3)

20x² - 5x = 5x (4x - 1)

(4x - 1)² / (x - 4) (x - 3) · 15x³ / 5x (4x - 1)

The existence of this rational algebraic expression is possible only if it is:

x - 4 ≠ 0 and x - 3 ≠ 0 and x ≠ 0 and 4x - 1 ≠ 0 =>

x ≠ 4 and x ≠ 3 and x ≠ 0 and x ≠ 1/4 This is restriction

Finally we have:

3 x² (4x - 1) / (x - 4) (x - 3)

God with you!!!

8 0

3 years ago

A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 cred

DedPeter [7]

Answer:

They completed 13, 3 credit classes

Step-by-step explanation:

1. Make 2 formulas. In this case: x+y=18

and 3x+4y=59

2. Then multiply x+y=18 by 3 and subtract the two equations.

Find y which is 5 and input into the equations. Then find your answer.

5 0

3 years ago

Select the best answer.

Tanzania [10]

Answer:

E

Step-by-step explanation:

As you need a 47%, you universe of numbers should be form 0 to 99 (or 1 to 100, the important fact is you need 100 numbers). With this, you can discard A and D. You can also discard C, as you need 47 good realizations as you probability is 47%, and C gives you 48 (00 also counts)

You need as many observations as you can, to get a more consistent estimation. This means, as many observations as you can. You could use B or E, because both have 47 good observations (for u), but E gives you a larger sample.

If you are trying to get a head with 50% throwing a dime, you will, statistically, do better throwing it 47 times than only 10 times.

7 0

3 years ago

Pete, a professional bowler, is unhappy with any game below 200. Over time, 80% of his games exceed this score. What is the prob

Aneli [31]

The probability that Pete exceeds 200 in at least 9 of his next 10 games is 0.268+0.1074 = 0.3754

<h3>What is Probability ?</h3>

Probability is defined as the likeliness of an event to happen.

It has a range of 0 to 1.

It is given that

Pete, a professional bowler, is unhappy with any game below 200

80% of his games exceed this score.