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2 years ago

Select All That Apply .

Mathematics

1 answer:

makvit [3.9K]2 years ago

7 0

Answer:

the 4th one ,hoped this help

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5. (05.03 LC) What is the simplified form of the quantity of x plus 5, all over the quantity of 3x plus 4 + the quantity of x pl

earnstyle [38]

Answer:

B. $\frac{4x^{2}+24x+31}{3x^{2}+13x+12}$

Step-by-step explanation:

We have been given a rational expression $\frac{(x+5)}{(3x+4)}+\frac{(x+4)}{(x+3)}$ and we are asked to simplify our rational expression.

We can see that our denominators are not equal. Since the two denominators do not share any common factors, the common denominator is simply the product of these two denominators.

To keep the value of expression same we will multiply the same quantity with numerators and denominators.

$\frac{(x+5)(x+3)}{(3x+4)(x+3)}+\frac{(x+4)(3x+4)}{(x+3)(3x+4)}$

Now let us simplify our expression using FOIL.

$\frac{x^{2}+3x+5x+15}{3x^{2}+9x+4x+12}+\frac{3x^2+4x+12x+16}{3x^{2}+4x+9x+12}$

$\frac{x^{2}+8x+15}{3x^{2}+13x+12}+\frac{3x^2+16x+16}{3x^{2}+13x+12}$

Now we have same denominators, so we can add our numerators.

$\frac{x^{2}+8x+15+3x^2+16x+16}{3x^{2}+13x+12}$

Now let us combine like terms.

$\frac{(1+3)x^{2}+(8+16)x+15+16}{3x^{2}+13x+12}$

$\frac{4x^{2}+24x+31}{3x^{2}+13x+12}$

Therefore, the simplest form of our given rational expression will be $\frac{4x^{2}+24x+31}{3x^{2}+13x+12}$ and option B is the correct choice.

8 0

3 years ago

Which of the following questions describes the equation 4n = -24?

Alona [7]

Answer:

n = -6

Step-by-step explanation:

<u>Step 1: Divide both sides by 4</u>

4n / 4 = -24 / 4

n = -6

Answer: n = -6

3 0

2 years ago

Dianne's profit from selling magazine subscriptions varies directly with the number of subscriptions sold. Dianne made $30 from

mixas84 [53]

B) I say this bcz I divided 30 by 24 and got 1.25
Profit=1.25(subscription)
(If someone else proves this wrong then I am sorry but I am in Middle School and my teacher just taught me this and I got an 100 so if it doesn't help I'm sorry) (I even used all those math calculator and word problem websites)

4 0

2 years ago

How do you turn f(x) = 3x 2– 40x + 180 into a graph?

Nuetrik [128]

Answer:

Intersept is (4.55,0)

Step-by-step explanation: