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Ulleksa [173]
2 years ago
12

What is the solution of the system? Use a graph. y = –x + 2 y = 3x – 1

Mathematics
1 answer:
laila [671]2 years ago
7 0
-x+2=3x-1
3=4x
3/4=x

Y=3(3/4)-1
Y=(9/4)-(4/4)
Y=5/4

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Answer:

f(x) = -6x +120

Step-by-step explanation:

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Let's call x the week number.

If the reduction in the number of patients each week is linear then the equation that models this situation will have the following form:

y = mx + b

Where m is the slope of the equation and b is the intercept with the x-axis.

If we know two points on the line then we can find the values of m and b.

We know that During week 5 of flu season, the clinic saw 90 patients, then we have the point:

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We know that In week 10 of flu season, the clinic saw 60 patients, then we have the point:

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Then we can find m and b using the followings formulas:

m=\frac{y_2-y_1}{x_2-x_1}   and b=y_1-mx_1

In this case: (x_1, y_1) = (5, 90) and (x_2, y_2) = (10, 60)

Then:

m=\frac{60-90}{10-5}

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And

b=90-(-6)(5)

b=120

Finally the function that shows the number of patients seen each week at the clinic is:

f(x) = -6x +120

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