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3 years ago

Simplify 8(x+3)^2/2(x+3)

Mathematics

2 answers:

lina2011 [118]3 years ago

8 0

Answer:

4x^3 + 36x^2 + 72x + 36x + 108

4x^3 + 36x^2 + 108x + 108

I really hope this helps you! <3

vfiekz [6]3 years ago

7 0

Answer:

36/x+3

Step-by-step explanation:

1 Simplify +3 to 3.

=> 8 × 3^2/2(x+3)

2 Simplify 3^2 to 9.

=> 8 × 9/2(x+3)

3 Simplify 8×9 to 72.

=> 72/2(x+3)

4 Simplify. (72÷2=36)

=> 36/x+3

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Answer:

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3 years ago

The length of a rectangle is 4 inches more than 4 times the width. The perimeter is 138 inches. Find the length and the width.

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3 years ago

The following lines are ______ <br><br> 4x + 2y = 10 y = -2x + 15

zmey [24]

Answer:

Parallel

Step-by-step explanation:

the equation of a line in slope- intercept form is

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given

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2y = - 4x + 10 ( divide through by 2 )

y = - 2x + 5 ← in slope- intercept form

with slope m = - 2

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2 years ago

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Write out the first few terms of the series Summation from n equals 0 to infinity (StartFraction 2 Over 3 Superscript n EndFract

anyanavicka [17]

Answer:

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = 15/8$

Step-by-step explanation:

The sum you are trying to understand is this.

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n}$

Remember that in general when you have a geometric series

$\sum\limits_{n = 0}^{\infty} a*r^n$ you have that

$\sum\limits_{n = 0}^{\infty} a*r^n = \frac{a}{1-r}$ and that equality is true as long as $|r| < 1$ .

Therefore here we have

$\sum\limits_{n=0}^{\infty} \frac{2}{3^n}\frac{(-1)^n}{5^n} = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{3*5} \big)^n = \sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n$ and $\big|\frac{-1}{15} \big| = \frac{1}{15} < 1$

Therefore we can use the formula and

$\sum\limits_{n=0}^{\infty} 2* \big(\frac{-1}{15} \big)^n = \frac{2}{1-(-1/15)} = \frac{2}{1+1/15} = 30/16 = 15/8$

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3 years ago