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3 years ago

Help me!!!!!!!!!!!!!!

Mathematics

1 answer:

MA_775_DIABLO [31]3 years ago

3 0

11. sin A = 7/25

cos A = 24/25

tan A = 7/24

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What is the quotient: (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)?

Kryger [21]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

$\frac{\left(6x^4+15x^3+10x^2+10x+4\right)}{\left(3x^2+2\right)}$

Now, we will find the quotient by factoring the numerator:

$\mathrm{Use\:the\:rational\:root\:theorem}\\a_0=4,\:\quad a_n=6\\\\\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:4,\:\quad \\\mathrm{The\:dividers\:of\:}a_n:\quad 1,\:2,\:3,\:6\\\\\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:4}{1,\:2,\:3,\:6}\\\\-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2\\\\=\left(x+2\right)\frac{6x^4+15x^3+10x^2+10x+4}{x+2}\\\\=\frac{6x^4+15x^3+10x^2+10x+4}{x+2}=6x^3+3x^2+4x+2\\\\$

Now, we will factor it again:

$=\left(6x^3+3x^2\right)+\left(4x+2\right)\\\\=2\left(2x+1\right)+3x^2\left(2x+1\right)\\\\=\left(2x+1\right)\left(3x^2+2\right)$

At last we get our factorised form :

$=\left(x+2\right)\left(2x+1\right)\left(3x^2+2\right)\\\\=\frac{\left(x+2\right)\left(2x+1\right)\left(3x^2+2\right)}{3x^2+2}\\\\=\left(x+2\right)\left(2x+1\right)\\\\=2x^2+5x+2$

Hence, Option 'C' is correct.

4 0

3 years ago

Read 2 more answers

I need help please?!!!!!!

Sindrei [870]

Answer:

-2x-10 ≥ 22

Collect like terms

-2x ≥ 22+10

-2x ≥ 32

divide both sides by -2

x ≥ -16.

5 0

3 years ago

6x-4(3x-5)=2 solve for x.

jeka57 [31]

Answer:

x = 3

Step-by-step explanation:

6x -4(3x-5) = 2

6x - 12x + 20 = 2

-6x = 2 - 20

-6x = -18

x = 3

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2 years ago

your job pays 8$ per hour Write a variable expression for your pay in dollars for working h hours. What is your pay if you work

lawyer [7]

Answer:

$8h

Your pay is $288 for working 36 hours

Step-by-step explanation:

I hope this helps :)

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3 years ago

A 9 3/5 inch long pipe is cut into eight equal length pieces. How long is each piece?

Alenkinab [10]

Answer:

1.2

Step-by-step explanation:

9 3/5 divided by 8

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3 years ago