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ioda
3 years ago
12

Factor completely 2x2 + 28x + 96.

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
4 0

Hi Kiara


2x²+28x+96

First thing you need to find the common factor

So the common factor is 2

2(x+6)(x+8)

I hope that's help:0


Why 2 is the common factor ?

Because we were looking for a number that can divide all of them at the same time without decimal, so that's why :)



Stels [109]3 years ago
4 0
Factor completely
2x^2 + 28x + 96
= 2(x^2 + 14x + 48)
= 2(x + a)(x + b)

find a,b that a+b=14, ab=48
let's try
a, b ... a+b
2,14 ... 18
4,12 ... 16
6,8 ... 14 *** found

2x^2 + 28x + 96 = 2(x + 6)(x + 8)
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Answer:

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Step-by-step explanation:

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The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.

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The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.

The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ =  3\frac{1}{3}\ ft^3

6 0
3 years ago
Read 2 more answers
I need help with this problem
cupoosta [38]
\bf \begin{cases}
(n^4)^p=n^{12}\to &n^{4\cdot p}=n^{12}\to 4p=12
\\
&\qquad \uparrow \\
&\textit{same bases, thus}\\
&\qquad \downarrow 
\\
n^3\cdot n^q=n^6\to &n^{3+q}=n^6\to 3+q=6
\end{cases}
\\\\\\
thus\implies 
\begin{cases}
4p=12\implies p=\frac{12}{4}
\\\\
3+q=6\implies q=6-3
\end{cases}
\\\\

\\\\
then\implies p\cdot q=\boxed{?}
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2 years ago
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Salsk061 [2.6K]
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