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noname [10]
3 years ago
8

ismael started the day with an irrigation pipe 120 feet long he used the equation L=15s+120 to determine the total length of the

pipe as new section pipe, s, wear welded on to the end. what is the slope of the line? What does the slope represent in the context of the problem?
Mathematics
1 answer:
Maslowich3 years ago
3 0

> what is the slope of the line?

The standard form of the linear equation is:

y = m x + b

where m is the slope, in this case the slope is m = 15

 

> What does the slope represent in the context of the problem?

<span>The slope is the ratio of L over s. Therefore this means that the slope represents the change in total length per change in the wear welded onto the end</span>

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Answer:

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Step-by-step explanation:

1)  Rewrite {y}^{2}-2y+1y  in the form{a}^{2}-2ab+{b}^{2}, where a = y and b = 1.

\frac{y}{{y}^{2}-2(y)(1)+{1}^{2}}+\frac{6}{{y}^{2}+6y-7}

2)  Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}.

\frac{y}{{(y-1)}^{2}}+\frac{6}{{y}^{2}+6y-7}

3)  Factor {y}^{2}+6y-7.

1 - Ask: Which two numbers add up to 6 and multiply to -7?

-1 and 7

2 - Rewrite the expression using the above.

(y-1)(y-7)

Outcome/Result: \frac{y}{(y-1)^2} +\frac{6}{(y-1)(y+7)}

4) Rewrite the expression with a common denominator.

\frac{y(y+7)+6(y-1)}{{(y-1)}^{2}(y+7)}

5)  Expand.

\frac{{y}^{2}+7y+6y-6}{{(y-1)}^{2}(y+7)}

6) Collect like terms.

\frac{{y}^{2}+(7y+6y)-6}{{(y-1)}^{2}(y+7)}

7) Simplify  {y}^{2}+(7y+6y)-6y  to  {y}^{2}+13y-6y

\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}

5 0
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45/56
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3 years ago
a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving, how many servings can
Anestetic [448]

Answer:

128 servings can be made using 1 gallon of milk.

Step-by-step explanation:

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Let,

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