Answer:
Step-by-step explanation:
x > 3 reads x is greater than three. This includes all numbers to the right of three, but not three itself. |₋₋|₋₋|₋₋₀---|---|---|---|---|---|----->
0 1 2 3 4 5 6 7 8 9
x ≤5 reads x is less than or equal to five. This includes all numbers to the left of and including the number 5 <--|---|---|---|---|---|---|--•₋₋₋|₋₋|₋₋₋|₋₋₋|₋₋₋₋
-2 -1 0 1 2 3 4 5 6 7 8 9
x ≥ -4 reads x is greater than or equal to minus four. This includes all numbers to the right of and including -4.
|₋₋₋|₋₋₋|₋₋₋•---|---|---|---|---|---|---|-->
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
The function for this problem is:
h(t) = -16(t)^2 + vt + s
h= the height
t= time
v= velocity
s= starting height
With the information given, we know that the starting height is 0, since it was from the ground, and the velocity of the ball is 35 feet per second. Inserting the these information into the equation, we get:
h(t) = -16(t)^2 + 35t
Now the question asks to find the maximum height. It can be done by using a grapher to graph the maximum of the parabola. It could also be done by finding the vertex, which would be the maximum, of the graph by using x= -b/(2a), where b is equal to 35 and a is equal to -16. We get x=35/32, the x-value of where the vertex lies. You can use this value as the t-value in the previous equation to find the h-value of the vertex. When you do, you get h= 19.1 feet, or answer D.
Answer:
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Step-by-step explanation:
Answer:
Xavier could plot data points based on the number of text messages sent in each month and the amount owed to create a straight line on the graph starting at (0, 0.05).
Xavier could create a table listing the number of text messages sent in each of the months listed and the amount he owed for those months to test for equivalent ratios.
Step-by-step explanation:
