**Answer:**

C). y = ln x + 4

**Step-by-step explanation:**

First off, we can cancel out the graphs.

Now looking at the graph, one can see that when x = 1, y = 4.

So for each function, plug in 1 for x.

In doing this, one will find that y = ln x + 4 is the only graph that produces 4 when x = 1.

<span>1/3, 1/4, 1/8
The answer given is not the only possible answer. You need to come up with 3 different fractions so that the LCD (least common denominator) So first, determine the prime factors of 24.
24 = 2 * 2 * 2 * 3
Now you want some denominators that will need all of those prime factors. For the above list of 3, 4, 8, only the 3 and 8 are important, since one of them uses the prime factor of 3 and the other uses 3 prime factors of 2, so the LCD for those 2 numbers is 24. The 3rd denominator could be almost anything that uses some combination of prime factors 2,2,2,3 such as 1/2, 1/4, 1/6, 1/12, etc. I just happened to pick 1/4. The only real restriction is that none of the denominators can use any extra prime factors. If they did. then the resulting LCD would not be equal to 24.</span>

A 0.25x represents the sales price

Hope this helps

**Answer:**

below

**Step-by-step explanation:**

x=-20

**Answer: a) Factored form: (x - 5)(x² + 7x - 7)** ** ; P(5) = 0 Yes**

** b) Factored form: (x + 1)(x³- 5x² - 4x - 1) ; P(-1) = 0 Yes**

<u>Step-by-step explanation:</u>

Use synthetic division to verify the remainder (last digit) is zero. The other digits represent the coefficients of the reduced polynomial.

a) x³ + 2x² - 42x + 35 ; x - 5 = 0 --> x = 5

5 | 1 2 -42 35

<u>| ↓ 5 35 -35 </u>

1 7 -7 0 → remainder is zero

Reduced polynomial is: x² + 7x - 7

Factored form: P(x) = (x - 5)(x² + 7x - 7)

b) x⁴ - 4x³ -9x² - 5x - 1 ; x + 1 = 0 --> x = -1

-1 | 1 -4 -9 -5 -1

<u>| ↓ -1 5 4 1 </u>

1 -5 -4 -1 0 → remainder is zero

Reduced polynomial is: x³- 5x² - 4x - 1

Factored form: P(x) = (x + 1)(x³- 5x² - 4x - 1)