Answer:
A) down
B) x intercept (5, 0)
y intercept (0, 80)
C) 144 ft
Step-by-step explanation:
y = Ax² + Bx + C
y = -16x² + 64x + 80
A)
Parabola opens down because A is negative
B)
x intercept (5, 0)
x = (-64 ±√(64² - 4(-16)(80))) / (2(-16))
x = -1 which means if the profile is continuous, the balloon launched one hour ago.
or
x = 5 which means the balloon will be on the ground in 5 hours.
(assuming level ground or no wind at all.
y intercept
y = -16(0)² + 64(0) + 80
y = 80 ft
meaning the balloon is already 80 feet above the ground when we start looking at t = 0
C)
Maximum altitude will occur when the vertical velocity is zero. Velocity is the derivative of position.
x' = -32x + 64
0 = -32x + 64
32x = 64
x = 2 hrs
y = -16(2)² + 64(2) + 80
y = 144 ft
A.
Getting an exact number for gravel is difficult because it spills and the ground is not usually perfectly level. Thus it would be okay to estimate the amount needed.
Answer:
water bottle: 1.61$
flashlight: 3.20$
Step-by-step explanation:
0.30/1.50= 0.2= 20%
20%<span> of 1.50 = 0.30</span>
Step-by-step explanation:
When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point. The order is important because a point named by the ordered pair ( 5, 3 ) is not at the same location as the point named by the ordered pair ( 3, 5 ).
