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balandron [24]
3 years ago
7

What is the answer for -3p(p+2) - (2p+3) using the distribution method?

Mathematics
2 answers:
faust18 [17]3 years ago
6 0

To figure out this problem, we need to break down the steps:

-3p(p + 2) - (2p + 3)

because -3p is next to the equation in parentheses, (p + 2), you should multiply -3p into both p and 2

-3p x p = -3p² (if you multiply a variable (p) by another of the same variable with no power, it becomes squared)

-3p x 2 = -6p

so the first part of the equation went from -3p(p + 2) to -3p² -6p

and the second part of the equation has no multiplying to do

so now we add like terms!

-3p² -6p - 2p + 3

-3p² -8p + 3

order from greatest power to least power (first goes the number/variable with the highest power, then the term with a variable, and lastly the number. Right now it is currently in the correct order).

-3p² -8p + 3 is your final answer

bezimeni [28]3 years ago
5 0

Answer: -3p^2-8p-3

Step-by-step explanation: By distributing we get, -3p^2-6p-2p-3. Then simplify accordingly.

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ollegr [7]
Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: \pi \approx3.14
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?

<span>Calculate the volume of the paint bucket (its formed being cylindrical), we have:
</span>V =  \pi *r^2*h 
V = 3.14 *3.5^2*8 
V = 3.14*12.25*8
\boxed{V = 307.72\:in^3}

<span>What was the total cost of the paint?

</span>price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72

It is made the rule of three: (<span>directly proportional)
</span>
\frac{0.05}{y} = \frac{1}{307.72}
multiply cross
1*y = 0.05*307.72
y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark

Answer:
<span>the total cost of the paint is $15</span>
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