General equation for height, h
h = ut + 0.5gt^2
at t=1s, h = 76 feet
76 = u*1 + 0.5*a*1^2
76 = u + 0.5a
at t=2s, h = 144 feet
144 = u*2 + 0.5*a*2^2
144 = 2u + 2a
72 = u + a
Subtract 2 equations
0.5a = -4
a = -8
u = 80
So the equation,
h(x) = 80t + 0.5*(-8) t^2
h(x) = 80t - 4t^2
Answer:
Step-by-step explanation:
Total cost
C (x) = 35+ 60x
Where,
Fixed cost= $35
Variable cost = 60x
x= number of hours of work
Total cost is the addition of fixed and variable cost
C (x) = 35+ 60x
C(5)= 35 + 60(5)
= 35 + 300
=335
C(5) = 335
C(5) = 335 is Olivia's total cost of hiring the electrician
x=5 is the electrician's number of hours of work
35= fixed cost of hiring the electrician
60(5) = 300 is the variable cost of hiring the electrician for 5 hours
Answer:
-3(x + 2)(5x - 3)
Step-by-step explanation:
-15x² – 21x + 18
-3(5x² + 7x - 6)
-3[5x² + 10x - 3x - 6]
-3[5x(x + 2) - 3(x + 2)]
-3(x + 2)(5x - 3)
