Answer:
The total number of feet travelled by the motorcycle is 396 feet
Step-by-step explanation:
Using the constant speed relationship with the distance:
v = s/t
From the above equation the distance travelled will be:
s = v * t (i)
We are given with the v, that is:
v = 45 miles per hour
Converting in to feet per second.
v = (45 * 5280)/3600 feet / s
v = 66 feet per second
Now, put that v and t in equation (i)
s = 66 * 6
s = 396 feet
A) zeroes
P(n) = -250 n^2 + 2500n - 5250
Extract common factor:
P(n)= -250 (n^2 - 10n + 21)
Factor (find two numbers that sum -10 and its product is 21)
P(n) = -250(n - 3)(n - 7)
Zeroes ==> n - 3 = 0 or n -7 = 0
Then n = 3 and n = 7 are the zeros.
They rerpesent that if the promoter sells tickets at 3 or 7 dollars the profit is zero.
B) Maximum profit
Completion of squares
n^2 - 10n + 21 = n^2 - 10n + 25 - 4 = (n^2 - 10n+ 25) - 4 = (n - 5)^2 - 4
P(n) = - 250[(n-5)^2 -4] = -250(n-5)^2 + 1000
Maximum ==> - 250 (n - 5)^2 = 0 ==> n = 5 and P(5) = 1000
Maximum profit =1000 at n = 5
C) Axis of symmetry
Vertex = (h,k) when the equation is in the form A(n-h)^2 + k
Comparing A(n-h)^2 + k with - 250(n - 5)^2 + 1000
Vertex = (5, 1000) and the symmetry axis is n = 5.
Distributive property: 5y-3y-6
Combine like terms: 2y-6
So there's your answer
Volume = W*L*H
30 = 5*L*H old one
Volume = 2*5*L*H new one
Volume new one = 2*5*L*H =2*(5*L*H)=2*30=60
Answer is C
Answer:
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Step-by-step explanation:
