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goldfiish [28.3K]
3 years ago
11

when a linear function is graphed it passes through the points (-1,1), (1,5), and (3,9) what is the rate of change for the funct

ion?
Mathematics
1 answer:
vesna_86 [32]3 years ago
5 0
Use the linear slope formula to solve for m: 

m=(y2-y1)/(x2-x1)

using the points (-1,1) and (1,5) you can find the slope for the first interval:
 
m=(5-1)/(1-(-1))
m=4/2
m=2

you can double check by using the same formula on the second interval, which is (1,5) to (3,9).

m=(9-5)/(3-1)
m=4/2
m=2 

therefore, the rate of change is 2. 
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Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

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The area of the square is given by the formula:

=(side)^2

Thus the area of the given square

\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}

The probability of an event is given by the formula:

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Thus probability

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Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

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Step-by-step explanation:

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Step-by-step explanation:

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