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What is the solution of (4 x minus 16) Superscript one-half Baseline = 36? x = 5 x = 13 x = 20 x = 328 If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents the height? 3x + 5 – 3x – 7 + 3x + 5 + 3x – 7 –

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ukshedrack

Answer:

Question 1: x = 328

Question 2: height, h = (3x + 5) remainder 28

Step-by-step explanation:

Question 1

[tex](4x-16)^{\frac{1}{2}} = 36[/tex]

Take the square of both sides

[tex]((4x-16)^{ \frac{1}{2} } )^{2} = 36^{2} \\\\4x-16=1296; 4x = 1296 + 16\\\\4x = 1312\\\\\frac{4x}{4}= \frac{1312}{4}\\ \\x = 328[/tex]

Question 2

[tex]Volume, V = 6x^{2} -2x+8\\Base area, B = 2x - 4[/tex]

Volume = Base Area × Height

V = B × h

Divide both sides by B

h = V/B

[tex]h = \frac{6x^{2}-2x+8}{2x-4}[/tex]

We need to use long division.

Please check the attached image for the complete solution.

Ver imagen ukshedrack

Answer:

x = 328

Step-by-step explanation:

there fore the answer is D

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