Answer:
a. h(t) = -16t^2 +12t + 4.
b. 5.04 ft
c. 6 ft.
d. 1 second.
Step-by-step explanation:
a.
This is upward motion against the force of gravity. The acceleration due to gravity is 32 ft s-2.
An equation modelling this is
h(t) = ut + 1/2 gt^2 + 4 where h(t) = height of the birdie at time t, g = acceleration due to gravity, t = the time and u = the initial velocity.
u = 12 and g = -32 (because the flight is against gravity) so we have:
h(t) = 1/2 * -32 t^2 + 12t + 4
h(t) = -16t^2 + 12t + 4
b. At t = 0.1 seconds the height is 12(0.1) - 16(0.1)^2 + 4
= 1.2 - 0.16 + 4
= 5.04 ft.
c. At t = 0.25 the height is 12(0.25) - 16(0.25)^2 + 4
= 6 feet
d . When the birdie reaches the ground h will be 0 so
12t - 16t^2 + 4 = 0
-4t^2 + 3t + 1 = 0
(4t- 1)(-t - 1) = 0
t = -0.25, t = 1
t = 1 ( ignore the negative root).
t = 1 second.
Answer:
<h2>
y = (-2/3)x - 4</h2>
Step-by-step explanation:
As we move to the right from (-3,-2) to (6,-8), x increases by 9 and y decreases by 6. Thus, the slope of the line connecting these two points is
m = rise / run = -6 / 9 = -2/3.
Starting with the slope-intercept form of the equation of a straight line,
y = mx + b, and substituting -2/3 for m, -8 for y and 6 for x, we get the following equation, which enables us to solve for the y-intercept, b:
-8 = (-2/3)(6) + b, or
-8 = -4 + b
Then b = -4, and the desired equation is
y = (-2/3)x - 4.
Answer:
Not a Function
Step-by-step explanation:
Each y-value has 2 x-values. It is supposed to only have one. hope this helped you!! Give brainliest
The answer to this is -4 and +13.
When you've got a negative number, this means that only one can be a negative number, and it is usually the smaller one.
-4*13= -52
-4+13= 9
Hope this helps :)
Answer:
60%
Step-by-step explanation:
18,000 / 8% = 1440
1,440 + 2,400 = 3,840
1,440 / 2,400 = 0.60
