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Dmitry [639]
2 years ago
8

Evaluate the expression below for p = - 2 and q = 3 (p^2q) ^3

Mathematics
1 answer:
Nitella [24]2 years ago
6 0

Answer:

1728

Step-by-step explanation:

{( {p}^{2} q)}^{3}  \\  = {(( { - 2}^{2} ) \times 3)}^{3}  \\  = {(3 \times 4)}^{3}  \\ =   ({12})^{3}  \\  = 1728

<h2><em>OladipoSeun</em><em>♡˖꒰ᵕ༚ᵕ⑅꒱</em></h2>

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3 years ago
Justify each step in solving the equation -3(2x-3)=25-8x by writing a reason for each statement.
Mice21 [21]

Answer: x= 8.


Step-by-step explanation: Given equation -3(2x-3)=25-8x.

Step 1: We have -3 in front of (2x-3). We always simplify a parenthesis first.

Therefore, applying Distributive property in first step, we get

-6x +9 = 25-8x.

Step 2:  We need to get rid 9 from left side to get constant numbers on right side.

9 is being added on left side.

So, we would apply reverse operation of addition.

Therefore, applying Subtraction property of equality, we get

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Step 3: We need to get rid 8x from right side.

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Therefore, applying Addition property of equality, we get

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So, applying Division property of equality, we get

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4 0
2 years ago
Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2
ollegr [7]

Answer:

2x^2+8x-30 represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

Step-by-step explanation:

Perimeter is defined as the sum of sides.

For a rectangle having dimension length 'L' and breadth 'B' Since, rectangle has two sides equal.

Perimeter of rectangle = 2 ( length + breadth )

Here, given rectangle has dimension

Length = 2x^2-16 and breadth = -x^2+4x+1

Thus, perimeter of rectangle = 2(2x^2-16+(-x^2+4x+1))

                                              =2(2x^2-16-x^2+4x+1)

                                               =2(x^2+4x-15)

                                                =2x^2+8x-30

Thus, perimeter of rectangle is 2x^2+8x-30   ........(1)

Perimeter of rectangle , when x = 3,

Put x= 3 in (1) ,

2x^2+8x-30\Rightarrow 2(3)^2+8(3)-30 \Rightarrow 18+24-30=12

Thus, 2x^2+8x-30 represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.




5 0
3 years ago
Read 2 more answers
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