Point slope form: y-y1 = m(x-x1)
Find slope: (y2-y1)/(x2-x1)
(1-5)/(9+3) = -4/12 = -1/3
Point slope equation: y+5 = -1/3(x+3)
Slope intercept: y = -1/3x - 1 + 5
Final slope int equation: y = -1/3x + 4
The midline is a horizontal axis that is used as the reference line about which the graph of a periodic function oscillates.
More About MidlineThe equation of the midline of periodic function is the average of the maximum and minimum values of the functionExamples of Midline<span>Figure-1 shows y = sin x and Figure-2 shows y = sin x + 1. The second curve is the first curve shifted vertically up by one unit.
The midline of y = sin x is the x-axis and the midline of y = sin x + 1 is the line y = 1.</span>
Answer:
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Step-by-step explanation:
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9514 1404 393
Answer:
p(x) = x^3 +x^2 -82x +80
Step-by-step explanation:
If a polynomial function has a zero at x=a, then (x -a) is a factor. Your list of zeros means the factors are ...
p(x) = (x -8)(x +10)(x -1) . . . . . . . . factored form
When this is multiplied out, it becomes ...
p(x) = x^3 +x^2 -82x +80 . . . . . . standard form
_____
The factored form can be multiplied out using the distributive property.
= ((x(x +10) -8(x +10))(x -1)
= (x^2 +10x -8x -80)(x -1)
= (x^2 +2x -80)x -(x^2 +2x -80)
= x^3 +2x^2 -80x -x^2 -2x +80
= x^3 +x^2 -82x +80