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taurus [48]
3 years ago
11

Factor completely 2x3 + 6x2 + 2x + 6.

Mathematics
2 answers:
katovenus [111]3 years ago
4 0

The answer is 2(x + 3)(x^2 + 1).

Steps:

2x^3 + 6x^2 + 2x + 6

2x^3 + 2x + 6x^2 + 6

2x(x^2 + 1) + 6(x^2 + 1)

(2x + 6)(x^2 + 1)

2(x + 3)(x^2 + 1)

Tanzania [10]3 years ago
4 0

2X^2(X+3)+2(X+3)

(2X^2+2)(X+3)

2(X^2+1)(X+3)

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4 0
2 years ago
The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20
Pepsi [2]

Answer: They can order from 0 to 449 bars, but no more.

Step-by-step explanation:

Given: The school band is ordering health bars to sell for a fundraiser. The company that sells the bars charges $0.40 per bar plus $20.00 for shipping regardless of the size of the order. The band must spend less than $200.00 on bars for the fundraiser.

The inequality below relates x, the number of bars that could be ordered, with the shipping costs and their spending requirements.

0.40x+20

To solve for x,  subtract 20 on both sides, we get

0.40x

Divide 0.40 on both sides, we get

x......... → the number of  bars that could be ordered, with the shipping costs and their spending requirements must less than 450.

Thus, they can order from 0 to 449 bars, but no more.

4 0
3 years ago
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an online store sells DVDs for $10 each the shipping charge for an entire order is $5.50 Frank order d DVDs write an expression
Vikentia [17]

10d + 5.50 = x (the total cost)

5 0
3 years ago
How do I solve this​
Alina [70]

\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\displaystyle\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} \end{cases} \\\\[-0.35em] ~\dotfill

\bf S_{20}=\displaystyle\sum \limits_{n=1}^{\stackrel{\stackrel{n}{\downarrow }}{20}}~\stackrel{\stackrel{a_1}{\downarrow }}{3}(\stackrel{\stackrel{r}{\downarrow }}{1.5})^{n-1}\implies S_{20}=3\left(\cfrac{1-1.5^{20}}{1-1.5} \right)\implies S_{20}=3\left(\cfrac{1-\stackrel{\approx}{3325.3}}{-0.5} \right) \\\\\\ S_{20}=3\left(\cfrac{-3324.3}{-0.5} \right)\implies S_{20}=3(6648.6)\implies S_{20}=19945.8

8 0
3 years ago
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5) HELP I don't know what I got incorrect can you please give me the answer and the step by step, THANK YOU SO MUCH TYSM!!!
MariettaO [177]
Same as moren.. sorry
6 0
2 years ago
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