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stich3 [128]
4 years ago
8

Simplify the expression. -p+3+2p-2p

Mathematics
2 answers:
11Alexandr11 [23.1K]4 years ago
5 0
<span> (3-2p)(2p-3) </span>Final result :<span> (3 - 2p)2 • -1 </span>Step by step solution :<span>Step  1  :</span><span><span> 1.1 </span>   Rewrite  (2p-3)  as (-1) •  (3-2p) </span>Multiplying Exponential Expressions :

<span> 1.2 </span>   Multiply  (3-2p)  by  (3-2p) 

The rule says : To multiply exponential expressions which have the same base,<span> add up their exponents.</span>

In our case, the common base is  (3-2p)  and the exponents are :
          1 , as  (3-2p)  is the same number as <span> (3-2p)1</span> 
 and   1 , as  (3-2p)  is the same number as <span> (3-2p)1</span> 
The product is therefore, <span> (3-2p)<span>(1+1)</span> = (3-2p)2</span> 

Final result :<span> (3 - 2p)2 • -1

this is what i learned in school hope you understand</span>
Sladkaya [172]4 years ago
4 0
Combine Like Terms:<span>=<span><span><span><span>−p</span>+3</span>+<span>2p</span></span>+<span>−<span>2p</span></span></span></span><span>=<span><span>(<span><span><span>−p</span>+<span>2p</span></span>+<span>−<span>2p</span></span></span>)</span>+<span>(3)</span></span></span><span>=<span><span>−p</span>+<span>3</span></span></span>
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Answer:

The correct answer is 0,-6

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#1

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4 years ago
Factor 3h2 – 11h - 42
Zina [86]
The answer is D
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The factors of -126 that add to -11 are 7 and -18
replace -11h with 7h-18h
3h^2 + 7h - 18h - 42
Factor the first two terms and last two terms
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See how the two parentheses are the same?
THE ANSWER IS BELOW!!
(h-6)(3h+7)
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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than
ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

  • A cuboid has 6 faces.
  • A cuboid contains 8 vertices.
  • A cuboid contains 12 edges .
  • The total surface area of a cuboid is

           = 2(length×breadth+breadth×height+length×height) square units

  • The dimension of a cuboid is written as length×breadth×height.
  • The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

=[x\times 2x\times (x+2)]   cubic inches

=[2x^2(x+2)]     cubic inches

=(2x^3+4x^2)     cubic inches

According to the problem,

2x^3+4x^2=192

\Rightarrow 2x^3+4x^2-192=0

\Rightarrow 2(x^3+2x^2-96)=0

\Rightarrow (x^3+2x^2-96)=0

\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0

\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0

\Rightarrow (x-4)(x^2+6x+24)=0

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

 length=(2×4) inches=8 inches

 and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0
3 years ago
Find the standard deviation for the set of data {27, 14, 7, 21, 19, 23, 26, 30, 4}
antoniya [11.8K]

4 , 7 , 14 , 19 , 21 , 23 , 23 , 26 , 27 , 30

Step-by-step explanation:

HOPE IT'S HELP ;)

7 0
2 years ago
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