-3 ? i think if it’s wrong i’m sorry
Highest mileage
m(s) = -0.025s2 + 2.45s - 30
This quadratic equation lokks like a upside down parabolla
So as it is a form of mileage gunction of speed, its maximum value should be K
The "a" in the vertex form "<span>y = a(x – h)2 + k</span>" of the quadratic is the same as the "a" in the common form of the quadratic equation, "<span>y = ax2 + bx + c</span><span>".
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<span>To find the vertex, I look at the coefficients a<span>, </span>b<span>, and </span>c. The formula for the vertex gives me:<span>Y= -0.025s2 + 2.45s - 30
</span><span>h = <span>–b</span>/<span>2a</span> = -2.45/2× -0.025=49</span><span>Put value of h to get K</span><span>k=-0.025(49)^2+2.45×(49)-30</span><span>k= -30.025</span><span>k= -</span>30.0<span>
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Answer:
g( f(x) ) = 2x^2 + 11 (Answer choice B)
Step-by-step explanation:
g( f(x) ) involves using the function f(x) = x^2 + 6 as the input to g(x).
Here, g(x) = 2x - 1. Replace the x in g(x) by "f(x)" and the x in 2x - 1 by x^2 + 6. Then we have g( f(x) ) = 2[x^2 + 6] -1. This can be simplified, as follows:
= 2x^2 + 12 - 1, or 2x^2 + 11. This is answer choice B.
You divide 48 by 2.4x to get 20 so x=20
