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kirza4 [7]
3 years ago
11

6) The sum of three consecutive even numbers is 96. What is the smallest of the three numbers ?

Mathematics
1 answer:
Neko [114]3 years ago
6 0

Answer:

30

Step-by-step explanation:

Consecutive even numbers can be written as X,X+2,X+4,X+6, and so forth. You only have three consecutive even numbers that equal 96, so write the following equation:

X+X+2+X+4=96

1) Combine alike terms:

3X+6=96

2) Subtract 6 from both sides:

3X=90

3) Divide both sides by 3:

X=30

Now plug in 30 for each of the consecutive even numbers' equations:

X=30

X+2=32

X+4=34

The smallest of these three numbers is 30, therefore the answer is 30!

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How state the roots as points when I have <br> x=6 and x=-2
dem82 [27]

I don't really know what you're trying to ask because

x = -2 and x=6 are your roots.

But if you want to convert them back to their equation form,

get the other side of the equation to be 0.

x = 6

x - 6 = 0

x = -2

x + 2 = 0

so your original equation had something like (x+2)(x-6)

6 0
3 years ago
Please can someone help with this question ASAP
kumpel [21]

Answer:

yes

Step-by-step explanation:

three is a factor of 12 because you can multiply it by 4 and you get 12 (a factor is a number you can multiply by another to give you a product)

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3 years ago
(x+2)(2x+1)+(x+2)(2x-3) factorizar
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Answer:

(x + 2)(4x - 2).

Step-by-step explanation:

(x+2)(2x+1)+(x+2)(2x-3)

Note that  (x + 2) is common to 2 parts of the expression. So we have:

(x + 2)(2x + 1 + 2x - 3)

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3 years ago
Unit 5. 17) Please help. Which solids could have a cross section in the shape shown above?
e-lub [12.9K]

Answer:

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3 years ago
Find the sum of the geometric series 512+256+ . . .+4
mario62 [17]

\bf 512~~,~~\stackrel{512\cdot \frac{1}{2}}{256}~~,~~...4

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?

\bf n^{th}\textit{ term of a geometric sequence}\\\\a_n=a_1\cdot r^{n-1}\qquad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\a_n=+4\end{cases}

\bf 4=512\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{4}{512}=\left( \cfrac{1}{2} \right)^{n-1}\\\\\\\cfrac{1}{128}=\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{1}{2^7}=\left( \cfrac{1}{2} \right)^{n-1}\implies 2^{-7}=\left( 2^{-1}\right)^{n-1}\\\\\\(2^{-1})^7=(2^{-1})^{n-1}\implies 7=n-1\implies \boxed{8=n}

so is the 8th term, then, let's find the Sum of the first 8 terms.

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\n=8\end{cases}

\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}}  \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}}  \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020

7 0
3 years ago
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