2 years ago

4 What is the value of the expression (

Mathematics

1 answer:

disa [49]2 years ago

4 0

Answer:

D. 81

Step-by-step explanation:

(81^¼)⁴ = 81^(¼×4) = 81¹ = 81

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Step-by-step explanation:

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3 years ago

Suppose Evan is trying to build a frame out of popsicle sticks x inches long. The frame will have length (2x – 3) and width of (

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Answer:

The correct option is A) 3 square inches; $2x^2-7x+6$ .

Step-by-step explanation:

It is given that the length of the frame is (2x-3) and the width is (x-2)

The area of the rectangle is: $A=l\times w$

Where, A is the area l is the length and w is the width of the rectangle.

Put $l=(2x-3)$ and $w=(x-2)$ in the area of the rectangle.

$A=(2x-3)(x-2)\\A=2x^2-4x-3x+6\\A=2x^2-7x+6$

The area of the frame expressed as a polynomial is $2x^2-7x+6$ .

Now substitute x=3 in $A=2x^2-7x+6$ .

$A=2(3)^2-7(3)+6\\A=18-21+6\\A=3$

The area of the frame is 3 square inches.

Hence, the correct option is A) 3 square inches; $2x^2-7x+6$ .

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