Answer:
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Step-by-step explanation:
<u>Equation of a Polynomial</u>
Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:
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Where a is the leading coefficient.
We know the three roots of the polynomial -6, -3, and 1, thus:

Since the y-intercept of the polynomial is y=90 when x=0:
90=a(0+6)(0+3)(0-1)
90=a(6)(3)(-1)=-18a
Thus
a = 90/(-18) = -5
The polynomial is:
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We must write it in standard form, so we have to multiply all of the factors as follows:





Answer:
3 2/5
Step-by-step explanation:
17/5
How many times does 5 go into 15
5*3 =15 3 times
17-15 =2 so there is 2 left over. This goes over the denominator
3 2/5
Answer:
Y = 2.5X + 8
Y: height (in feet)
X: time (in years)
Step-by-step explanation:
Height = 8 + 5(t/2)
= 8 + 5t/2
Height = 8 + 2.5t
Y = 2.5X + 8
For this case we have the following angle:
theta = (9/5) pi
Having the conversion we have:
theta = ((9/5) pi) * (180 / pi)
Rewriting we have:
theta = (9/5) * (180)
theta = (9/5) * (180)
theta = 324 degrees
Answer:
The angle is equivalent to:
theta = 324 degrees