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allsm [11]
4 years ago
13

Interpret the following sine regression model.

Mathematics
1 answer:
natita [175]4 years ago
3 0

Answer:

The question is incomplete, so I will describe the sine regression model.

The function

y = 0.884 sin(0.245x - 1.093) + 0.400

correspond to the general equation:

y = a sin(bx - c) + d

where:

a = 0.884

b = 0.245

c = 1.093

d = 0.400

The amplitude of the function is computed as follows:

amplitude = |a| = 0.884

The period of the function is computed as follows:

period = 2π/|b| = 25.6456

The phase shift of the function is computed as follows:

phase shift = c/b = 4.4612 to the right (because there is a minus sign before c in the equation)

The vertical shift of the function is computed as follows:

vertical shift = d = 0.400

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The image of a parabolic lens is projected onto a graph. The image crosses the x-axis at –2 and 3. The point (–1, 2) is also on
Ierofanga [76]

Answer:

y =-\frac{1}{2}(x +2)(x - 3)

Step-by-step explanation:

Given

x_1 = -2

x_2 = 3

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Required

The equation

First, calculate the equation from the zeros

y =k(x - x_1)(x - x_2)

Substitute x_1 = -2 and x_2 = 3

y =k(x - -2)(x - 3)

y =k(x +2)(x - 3)

To solve for k, we substitute (x,y) = (-1,2)

2 = k(-1+2)(-1-3)

2 = k(1)(-4)

2 = -4k

Divide by -4

k=\frac{2}{-4}

k=-\frac{1}{2}

So, the equation is:

y =k(x +2)(x - 3)

y =-\frac{1}{2}(x +2)(x - 3)

8 0
3 years ago
3250 - M = 1500 + 2(M - 500)
bija089 [108]

Answer:

M=916 2/3

Step-by-step explanation:

3250-m=1500+2(m-500)

3250-M=1500+2m-1000

3250-M=2M+500

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M=916 2/3

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Sergeeva-Olga [200]

3250

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3 years ago
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Answer:

55 square meters

Step-by-step explanation:

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