Answer:
b
Step-by-step explanation:
Given the movement of Dolphin has been modeled by the function:
h(t)=-16t^2+26t
the time taken for Dolphin to reach 5 feet will be:
5=-16t^2+26t
writing the above in quadratic form ax^2+bx+c=0 we get:
16t^2-26t+5=0
solving the quadratic equation using quadratic formula we obtain:
t=13/16+/-√89/16
t=0.22 sec or 1.40 sec
(f-g)(x) will be 3x^2 -2x+4 -(5x^2+6×-8)
distribute the -sign, gives us
3x^2-2x+4-5x^2-6x+8,
now combine like terms and should get,
-2x^2-8x+12,
final answer,
(f-g)(x)= -2x^2-8x+1×,
hope it helped,
good luck
Answer:
156 ft^3
Step-by-step explanation:
1) find the volume of the parallelepiped:
V = side^2 x height = 6^2 x 3 = 108 ft^3
2) find the base area of the pyramid:
base area = side^2 = 6^2 = 36 ft^2
3) find the volume of the pyramid:
V = (base area x height)/3 = (36 x 4)/3 = 48 ft^3
4) find the total volume
V = 108 + 48 = 156 ft^3
