Answer: C
y=-5cos(x) is the graphed equation. Cos(x) starts at (0,0) and one period is 2pi or 6.28 and by cos(x) multiplied by -5 starts the cosine wave at (0,-5) and thus corresponds to the graphed equation shown.
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To find the x and y-intercept, we can write an equation in slope intercept form.
first, we need to find the slope
the formula for slope is
m= (y₂-y₁)/(x₂-x₁)
now just put any two points into the equation
m=(10-5)/(-9-(-15)
m=5/6
so now we can write the slope-intercept equation
y=5/6x + b
in a slope-intercept equation, b is equal to the y-intercept, so we can take one of our 3 pairs of points and put them into the equation to solve for b
15= 5/6(-3) +b
15=-2.5 + b
17.5 = b
so now we know the y-intercept is (0,17.5)
now we can write the equation as
y= 5/6x + 17.5
since the x intercept is when y=0, we can set y to 0 and then solve for x
0= 5/6x +17.5
-17.5 = 5/6x
-21 = x
by setting y to zero, we figured out that the x-intercept is (-21,0)
hope this helped!
Answer:
you take the remainder and put it as a decimal.
Step-by-step explanation:
