Answer:21
Step-by-step explanation:
The polynomial function is a cubic polynomial function with a general equation of y = ax^3 + bx^2 + cx + d. a is given to be -1. roots make y = 0
when x = 1
y = -1(1) + b + c + d = -1 +b+c+d = 0
when x = 2
y = -1*8 + 4b + 2c + d = -8 + 4b+c+d = 0
when x =k
y = -k^3 + k^2b + kc + d = 0
when x = 3, y =8
8 = -27 + 9b + 3c + d
<span>b=7/3 , c=23/3 , d=−9
</span>k1<span> = 9.3556</span>
k2<span> = -2.71051</span>
k3<span> = 0.35491</span>
Answer:
We can factorise the numerator with the difference of squares formula:
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Now we can factorise the denominator:
Cancel out the common factor of (p-5):
<span>So we want to rewrite the function v=8h^2 in terms of h so that it can represent the height of an object that is launched upward. So we take a square root: sqrt v= h*sqrt 8. Then we divide both sides of the equation with sqrt 8: h=(sqrt v)/sqrt 8=sqrt(v/8). So our function is: h=sqrt(v/8) or h=(1/2)*sqrt(v/2). </span>
