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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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What is the volume, in cubic inches, of one cube with an edge length of inch?
Alex_Xolod [135]

Answer:

We know that each cube with a -inch edge length has a volume of cubic inch, because . Since the prism is built using 24 of these cubes, its volume, in cubic inches, would then be , or 3 cubic inches.

Step-by-step explanation:

7 0
3 years ago
How To Solve <br>15.5 × 2.2
Vladimir79 [104]
First, multiply 15 times 2, which is 30.
Then, multiply 0.5 times 0.2, which is 0.1.
Add them together!30 + 0.1 = 30.1 :)

4 0
3 years ago
Read 2 more answers
I need alot of help in math
umka2103 [35]
Plug in the dimensions to the formula given using a handy dandy calculator for both problems. 

1. The diameter of the bottom of the cone is 4 so the radius (half that) is 2. Volume = 1/3 * pi * (2)² * 6
= 1/3 * pi * 4 * 6
= 1/3 * pi * 24
= 8 * pi
≈ 25.1327 cm³

2. They give you all you need, the radius.
Volume = 4/3 * pi * (6)³
= 4/3 * pi * 216
= 288 * pi
≈ 904.7787 in³
3 0
3 years ago
Convert 55°44'33" to decimal degree form. Round your answer to four decimal places.​
Andreyy89

Answer:

55,7425

Step-by-step explanation:

Since there are 60 minutes in one degree and 3600 seconds in one degree, the formula is:

Decimal degrees = Degrees + (Minutes/60) + (Seconds/3600)

Here Degrees stay the same 55;

44' = 44/60 ≈ 0,733...

33" = 33/3600  ≈ 0,009166...

I've divided and added those three numbers by calculator in one operation and it shows exactly 55,7425. If you add them separately, you'll need to round the result.

5 0
3 years ago
PLEASE HELP QUICKLY!!!!
joja [24]

Answer:

A= -4

B= 4

C= 1/4

D= -1/4

Step-by-step explanation:

I see u counted which is good. remember it's rise over run so for a u got up down 4 over 1. that's why the slope would be -4. You figure out the other ones the same way.

3 0
4 years ago
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