Answer:
- height: 48.6 ft
- time in air: 3.4 s
Step-by-step explanation:
A graphing calculator provides a nice answer for these questions. It shows the maximum height is 48.6 feet, and the time in air is 3.4 seconds.
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The equation can be rewritten to vertex form to find the maximum height.
h(t) = -16(t^2 -54/16t) +3 . . . . . group t-terms
h(t) = -16(t^2 -54/16t +(27/16)^2) + 3 + 27^2/16
h(t) = -16(t -27/16)^2 +48 9/16
The maximum height is 48 9/16 feet, about 48.6 feet.
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The air time is found at the value of t that makes h(t) = 0.
0 = -16(t -27/16)^2 +48 9/16
(-48 9/16)/(-16) = (t -27/16)^2 . . . . . . . subtract 48 9/16 and divide by -16
(√777 +27)/16 = t ≈ 3.4297 . . . . . square root and add 27/16
The time in air is about 3.4 seconds.
Answer:
C
Step-by-step explanation:
263x = words per day
add on 1,037 because she already wrote them
263x + 1,037 > 2,878
Xy=-36
x+y=-3
x= -36/y
-36/y + y = -3
-36 + y^2 = -3y
y^2 +3y -36 = 0
I think you have to use quadratic formula to find the 2 values of y and then plug in for x
Answer:
<em>Result: 23</em>
Step-by-step explanation:
<u>Evaluating Algebraic Expressions</u>
Given an expression where variables (letters) are included, evaluate the expression at specific values of the variables means to substitute the values into the expression, operate, and give the final result.
The expression provided in the question is:
4m + 3
Evaluate at m=5
Substitute m for 5 recalling 4m really means 4*m, a product:
4*5 + 3 = 20 + 3 =23
Answer:
5
Step-by-step explanation:
Y intercept = y value of point where the line passes the y axis
The line passes the y axis at (0,5) and the y value of that point is 5
Therefore y intercept = 5
