Answer:
Step-by-step explanation:
Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -6 x-intercepts at x = -5 and x = 3 y-intercept at 7
Answer:
Either -4n or 0n but most likely -4n
Answer:
1.5
Step-by-step explanation:
The equation that gives the height is h(t) = - 16t^2 + 18t + 5, which is a parabola.
You cand find the maximum height from the vertex of the parabola.
Let's find the vertex. I will complete squares:
Start by extractin common factor -16:
-16t^2 + 18t + 5 = -16 [t^2 - (18/16) t - 5/16]
I will work with the expression inside the square brackets.
t^2 - (18/16)t - 5/16 = t^2 - (9/8) t - 5/16 =
Completing squares: (t - 9/16)^2 - (9 / 16 )^2 - 5/16
(t - 9/16)^2 - 81/ 256 - 5/16 = (t -9/16)^2 - 161/256
Now, include add include the factor -16[ (t- 9/16)^2 + 161/256 ] =
= -16 (t - 9/16)^2 + 161/16
That means that the vertex is 9/16, 161/16
So, the maximum height is 161 / 16 = 10,06, which is lower than the fence.
Answer: She will not make it over the fence.
Answer 22
step by step explanation
I divided 64 since that's the opposite of multiplying to get h by itself
this could be your answer if you want it as terms of pi but if you say pi is 3.14 then you keep going and divide 69.08 by 3.14 to get h by itself
then you get the answer
hopefully this helps
