SOMEONE PLEASE HELP ME
1 answer:
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The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:
When the balloon splats on the ground, the value of h(t) is 0.
So, we have:
Expand the expression
Factorize the above expression
Factor out 2t - 5 in the 2t - 5
Split the equation into 2
Rewrite as:
Solve for t
The value of t cannot be less than 0 i.e. negative.
So, we have
Divide 5 by 2
Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
Answer:
h(d) = (17/3249)(-d² +114d)
Step-by-step explanation:
For this purpose, it is convenient to translate and scale a quadratic parent function so it has the desired characteristics. We can start with the function ...
f(x) = 1 -x² . . . . . . . has zeros at x = ±1 and a vertex at (0, 1)
We want to horizontally expand this function by a factor of 57, so we can replace x by x/57. We want to vertically scale it by a factor of 17, so the vertex is at (0, 17). Finally, we want to translate the function 57 m to the right, which requires replacing x with x-57. After these transformations, we have ...
f(x) = 17(1 -((x-57)/57)²) = (17/3249)(-x²+114x)
Using the appropriate function name and variable, we have ...
h(d) = (17/3249)(-d² +114d)
