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attashe74 [19]
4 years ago
12

To factor 9x^2 - 4, you can first rewrite the expression as:

Mathematics
1 answer:
olga2289 [7]4 years ago
4 0

Answer:

  C. (3x)^2 - (2)^2

Step-by-step explanation:

Each of the two terms is a perfect square, so the factorization is that of the difference of squares. Rewriting the expression to ...

  (3x)^2 - (2)^2

highlights the squares being differenced.

__

We know the factoring of the difference of squares is ...

  a^2 -b^2 = (a -b)(a +b)

so the above-suggested rewrite is useful for identifying 'a' and 'b'.

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What vaule of x makes th question true? 3x+2(x-5)=50 a. 8 b.9 c.11 d.12
Ainat [17]
Hey Tierra7l, 

Lets solve your equation together step by step. 

3x+2\left(x-5\right)=50 

\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10 

\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac 

                                    a=2,\:b=x,\:c=-5 

2\cdot \:x+2\left(-5\right) 

\mathrm{Apply\:minus-plus\:rules} 

\:\:+\left(-a\right)=-a 

2x-2\cdot \:5 

\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10 

2x-10 

3x+2x-10=50 

\mathrm{Add\:similar\:elements:}\:3x+2x=5x 

5x-10=50 

\mathrm{Add\:}10\mathrm{\:to\:both\:sides} 

5x-10+10=50+10 

\mathrm{Simplify} 

5x=60 

\mathrm{Divide\:both\:sides\:by\:}5 

\dfrac{5x}{5}=\dfrac{60}{5} 

\mathrm{Simplify} 

x=12 

Hope this helps, 

      AnthrαX <span>  </span>
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You want to buy a tent in the shape of a pyramid. The rectangular base is 35 square feet, with a height of 4 feet. What is the v
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The volume of a pyramid is
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Step-by-step explanation:

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Answer:

<em>4(b) , 5(a)</em>

Step-by-step explanation:

(4). <em>(b)</em>  Domain is {0, 1, 2, 3} and Range is { - 3, - 2, - 1, 0}

(5).  <em>(a)</em>  Domain is [ - 4, 2] and Range is [ - 4, 4]

or

domain: - 4 ≤ x ≤ 2 , range: - 4 ≤ y ≤ 4

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