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Margarita [4]
1 year ago
15

Producer of

gn="absmiddle" class="latex-formula">
Mathematics
1 answer:
tamaranim1 [39]1 year ago
5 0

Answer:

(x - 7)(x + 3)

Explanation:

\rightarrow \sf x^2 - 4x - 21

breakdown

\rightarrow \sf x^2 - 7x +3x- 21

factor out common terms

\rightarrow \sf x(x - 7) +3(x- 7)

collect into groups

\rightarrow \sf (x+3)(x- 7)

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A person wishes to mix coffee worth nine dollars per pound with coffee worth three dollars per pound to get 240 pounds of a mixt
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\bf \begin{array}{lccclll}
&amount&price&priced\ amount\\
&-----&-----&--------\\
\textit{9 bucks/lb}&x&9&9x\\
\textit{3 bucks/lb}&y&3&3y\\
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\end{array}
\\\\\\
\begin{cases}
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9514 1404 393

Answer:

  (t, u, w) = (1, -2, -2)

Step-by-step explanation:

A graphing calculator makes short work of this, giving the solution as ...

  (t, u, w) = (1, -2, -2)

__

There are many ways to solve this "by hand." Here's one of them.

Add the first and third equations. Their sum is ...

  -3t +4w = -11 . . . . . [eq4]

Add this to twice the second equation. That sum is ...

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Substituting this into the second equation gives ...

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Substituting for t in the third equation lets us find u.

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The solution is (t, u, w) = (1, -2, -2).

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