Answer:
a) No. t < 0 is not part of the useful domain of the function
b) 2.0 seconds
Step-by-step explanation:
a) A graph of the function is shown below. It shows t-intercepts at t=-0.25 and t=2.0. We presume that t is measured forward from some event such as the ball being thrown or hit. The model's predicted ball location has no meaning prior to that event, when values of t are negative.
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b) It is convenient to use a graphing calculator to find the t-intercepts. Or, the equation can be solved for h=0 any of several ways algebraically. One is by factoring.
h = 0 = -16t² +28t +8 . . . . . . . . . . . . the ball hits the ground when h = 0
0 = -4(4t² -7t -2) = -4(4t +1)(t -2)
This has t-intercepts where the factors are zero, at t=-1/4 and t=2.
The ball will hit the ground after 2 seconds.
Answer:
Step-by-step explanation:
a = 180 - 100
= 80 degrees
b = 180 - 80
= 100 degrees
c = 180 - 135
= 45 degrees
21.5, just took the test!!!!
Answer:
8.69 inches
Step-by-step explanation:
4.5C=0.72R
V=πr^2 h
/3
V=π0.72^2 16
/3
V=8.69 Inches
I apologize for the hard to understand step-by-step but the way that the equation is set up is impossible to type out under the limitation. If you have any questions about it, just ask.
Y = 6x - 11
-2x - 3y = -7
Let's use substitution:
-2x - 3y = -7
-2x - 3(6x - 11) = -7
-2x - 18x + 33 = -7
-20x + 33 = -7
-20x = -40
x = 2
----
y = 6x - 11
y = 6(2) - 11
y = 12 - 11
y = 1
----
y = 6x - 11 => 1 ? 6(2) - 11 => 1 = 12 - 11 <--True
-2x - 3y = -7 => -2(2) - 3(1) ? -7 => -4 - 3 = -7 <--True
Answer:
x = 2
y = 1
Hope this helps!