Factor: x2 + 5x + 6

1 answer:

5 0

One Way: Use FOIL to find your solutions.

b.
(x - 3)(x + 2)
= x² + 2x - 3x - 6
= x² - x - 6

c.
(x + 3)(x - 2)
= x² - 2x + 3x - 6
= x² + x - 6

d.
(x + 5)(x + 1)
= x² + x + 5x + 5
= x² + 6 x + 5

a.
(x +3)(x+2)
= x² + 2x + 3x + 6
= x² + 5x + 6

A. is your solution.

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A metallurgist has an alloy with 5% titanium and an alloy with 30% titanium. He needs 100 grams of an alloy with 15% titanium. H

andrey2020 [161]

Let us convert the percentages to decimal format first.. so 5% is just 5/100 or 0.05 and 15% is just 15/100 or 0.15

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thus

$\bf \begin{array}{lccclll}
&amount&concentration&
\begin{array}{llll}
concentrated\\
amount
\end{array}\\
&-----&-------&-------\\
\textit{5\% alloy}&x&0.05&0.05x\\
\textit{30\% alloy}&y&0.30&0.3y\\
-----&-----&-------&-------\\
mixture&100&0.15&15
\end{array}
\\\\\\
\begin{cases}
x+y=100\implies \boxed{y}=100-x\\
0.05x+0.3y=15\\
----------\\
0.5x+0.3\left( \boxed{100-x} \right)=15
\end{cases}$

solve for "x"

what's "y"? well, y = 100 - x

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vlabodo [156]

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