We have that
f(x) = –4x²<span> + 24x + 13
</span>
we know that
The vertex form for a parabola that opens up or down is:
f(x) = a(x - h)^2 + k
in the given equation, <span>a=-4</span><span>, therefore we add zero to the original equation in the form of </span><span>4h</span>²<span>−4h</span>²
f(x) = –4x² + 24x + 4h²−4h² +13
<span>Factor 4 out of the first 3 terms and group them
</span>f(x) = –4*(x² -6x +h²) +4h² +13
<span>We can find the value of h by setting the middle term equal to -2hx
</span>−2hx=−6x
<span>h=3</span><span> and </span><span>4h</span>²<span>=<span>36
</span></span>f(x) = –4*(x² -6x +9) +36 +13
we know that the term (x² -6x +9) is equals to------> (x-3)²
so
f(x) = –4*(x-3)² +49
the answer isf(x) = –4*(x-3)² +49
It would be 3:00 pm in Boston
Answer:
if x=ky, where k is constant.
value of x
45/3=k3/3
15=k, constant is 15
value of x when y =6
x=ky
x=15(6)
x=80
<span>In getting the value of R in the formula of the circumference that you give where as the circumference is equals to 15, the derived formula is R=C/2pi and the answer would be that R is equals to 2.39. I hope you are satisfied with my answer and feel free to ask for more if you have more questions and further clarifications </span>
