Answer:
a. 6, b. 99, c. 63
Step-by-step explanation:
A) The function s(t) is in the vertex form. The standard vertex form is a(x-h)+k where the vertex is (h,k). The vertex is the highest (or lowest in some cases) point of the graph, so if we use s(t) to get the vertex we get that h=6 and k=99. This means that for a student to get a perfect score they need to study 6 hours
B) We can just take the k value from the first question because that's the highest value for s(t), so the highest score will be 99
C) For this one just plug in 0 for time, so -(0-6)^2+99. This equals -(-6)^2+99, which equals 99-36 =63
The function f(t) that describes this scenario will be A = -42.57t + 1399.28
- Let the amount of oil remaining after time t be A
- Let the time taken be "t"
This required linear expression will be given as A= mt + b
Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)
m is the rate of change = 633-931/18-11
m = -298/7
m = -42.57
Get the intercept;
633 = -42.57(18) + b
633 = -766.29 + b
b = 1,399.28
Heence the function f(t) that describes this scenario will be A = -42.57t + 1399.28
Learn more on functions here; brainly.com/question/17431959
Why would they chose a dog at random?
You need to feel a connection.
Vi = 56
Vf = 56 + 7(3) = 56 + 21 = 77
THe average is (Vf + Vi)/2
(77 + 56)/2 = 133/2 = 66.5 m/s
They are on quarenent one
