First, use the "completing the square" process to write this equation in the form (x + D)² = E. x² - 8 x + 12 = 0 is equivalent
1 answer:
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The given function is
According to this function, the starting height of the rocket is 20 feet because that's the initial condition of the problem stated by the independent term.
Additionally, we find the maximum height by calculating the vertex of the function V(h,k).
Where a = -16 and b = 300.
Then, we find k by evaluating the function
Hence, the maximum height is 1426.25 feet.
At last, to know the time need to hit the ground, we just use h=9.375 and we multiply it by 2
Hence, the rocket hits the ground after 18.75 seconds.
Answer:
Step-by-step explanation:
The y-intercept is where x is 0 (0,y)
The x-intercept is where y is 0 (x,0)
Insert 0 as the value for x to find the corresponding y value:
Simplify multiplication:
Isolate the variable. Divide both sides by 4:
Make the variable positive. Multiply both sides by -1:
The y-intercept is at .
Insert 0 as the value for y to determine the value of x:
Simplify multiplication:
Isolate x. Divide both sides by 5:
Multiply both sides by -1:
The x-intercept is at .
:Done