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.
Square root function. f(x)= square root x x> or = to 0
Answer:
The second option
Step-by-step explanation:
To solve this, you should convert both rates to equations, with y being the total fare, and x being the number of miles. The rates of both use the format y=mx+b (where m is the amount per mile and b is the flat rate, or original rate).
By subbing in the values for m and b, you get y=2x+4 for A and y=3x+5 for B. This is the second option.
**This question involves writing linear equations, which you may wish to revise. I'm always happy to help!
Solve this by dividing the 180 by 6. This results in 30. So, each number should be rolled 30 times. There are only two numbers greater than 4. Multiply 30 by 2 to get your answer, 60.
Answer:
the above is a function
Step-by-step explanation:
function is a mapping from a set A to B, which associative every element of A with unique image in B.
Here, f(-3)=6, f(-5)=6
f(3)= -2, f(-5)=1
all elements have image.
so this is a function.
