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Verizon [17]
3 years ago
5

What is the expression in radical form?

Mathematics
1 answer:
BabaBlast [244]3 years ago
3 0

Answer:

32x^9y^6/5

Step-by-step explanation:

Factor (4x^3y^2)^3 and get 2^6(x^3)^3(y^2)^3

Factor 10: 2 x 5

Then get 2^6(x^3)^3(y^2)^3/2 x 5

Cancel the common factor, 2

2^5(x^3)^3(y^2)^3/5

(x^3)^3=x^9

2^5x^9(y^2)^3/5

(y^2)^3=y^6

2^5x^9y^6/5

2^5=32

32x^9y^6/5

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1. Given the equation ​ ​y​ = -3​x​ + 2.5
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a. when x=1 so substitute 1 to any X in the given equation.

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3 years ago
(60 points)
natka813 [3]

Answer:

<h2>2. D. 64</h2><h2>5. B. 1, -3/2</h2><h2>6. C. 0, 2</h2>

Step-by-step explanation:

2.\\(a-b)^2=a^2-2ab+b^2\\\\x^2-16x=-8\\\\x^2-2(x)(8)=-8\\\\\text{We have}\ 2ab=2(x)(8).\ \text{Therefore}\ b=8.\\\\x^2-2(x)(8)=-8\qquad\text{add}\ 8^2=64\ \text{to both sides}\\\\x^2-2(x)(8)+8^2=-8+64\\\\(x-8)^2=56

5.\\2x^2+x-1=2\qquad\text{subtract 2 from both sides}\\\\2x^2+x-3=0\\\\2x^2+3x-2x-3=0\\\\x(2x+3)-1(2x+3)=0\\\\(2x+3)(x-1)=0\iff 2x+3=0\ \vee\ x-1=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-\dfrac{3}{2}}\\\\x-1=0\qquad\text{add 1 to both sides}\\\boxed{x=1}

6.\\2x^2-4x=0\qquad\text{divide both sides by 2}\\\\x^2-2x=0\\\\x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\\boxed{x=0}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}

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3 years ago
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