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HACTEHA [7]
3 years ago
7

What is the simplified form of 3 over 4x plus 3 + 21 over 8 x squared plus 26x plus 15 ?

Mathematics
2 answers:
Sladkaya [172]3 years ago
6 0

3 over 4x plus 3 + 21 over 8 x squared plus 26x plus 15\frac{3}{4x+3} +\frac{21}{8x^2 +26x+15}

factor the quadratic expression

⇒\frac{3}{4x+3} +\frac{21}{8x^2 +20x+6x+15}= \frac{3}{4x+3} +\frac{21}{4x(2x+5)+3(2x+5)}

=\frac{3}{4x+3} +\frac{21}{(2x+5)(4x+3)}

Find LCD , and make the denominators same by multiplying first expression by (2x+5) both in numerator and denominator

=\frac{3(2x+5)}{(4x+3)(2x+5)} +\frac{21}{(2x+5)(4x+3)}

Simplify

=\frac{3(2x+5) +21}{(4x+3)(2x+5)}

=\frac{6x+15 +21}{(4x+3)(2x+5)}

=\frac{6x+36}{(4x+3)(2x+5)}

Factor the numerator

=\frac{6(x+6)}{(4x+3)(2x+5)}

Option D

nekit [7.7K]3 years ago
4 0

Answer:

-4x + 14

Step-by-step explanation:

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Equations and inequalities
DerKrebs [107]
Inequalities and equations use similar steps to solve, but inequalities give a range of numbers that can represent the variable while an equation will give a direct answer.

Example:

4+5x=24

First you would subtract 4 or add the opposite of 4 from 24.

4+5x=24
+(-4) +(-4)
—————
5x=20

Then divide each side by 5 or multiply each side by the reciprocal of 5 to isolate the variable.

1/5*5x=20*1/5 (reciprocal)
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You would use the same steps in an inequality but end up with a different sign.
8 0
3 years ago
Read 2 more answers
Michael uses a uniform probability model for an experiment using a deck of 45 cards. There are 15 blue card, 15 red cards, and 1
vampirchik [111]

Answer:

<em>P</em> = 2/3

Step-by-step explanation:

45 cards in all

15 blue

15 red

15 green

To figure out the probability of red and blue together, add red and blue.

15 + 15 = 30

Since the total is 45, this is how many 30 will be out of.

30 out of 45 = 30/45

Simplify 30/45 by dividing each side by 15

30 ÷ 15 = 2

45 ÷ 15 = 3

30/45 = 2/3

6 0
3 years ago
Use the picture below to solve for the missing information, given PQ = 2x + 8, QR = x + 11, and PR = 5x - 3.​
Ann [662]

Answer:

Step-by-step explanation:

I think x=-2

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2 years ago
Find the area of a compound shape<br><br> Can you please explain
Crazy boy [7]

Answer:

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Step-by-step explanation:bruh sorry for being a little rude.

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Step-by-step explanation:

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