This is a quadratic equation whose graph is a parabola that opens down.
When does the rocket reach its highest point? Note that at that point it will stop ascending, momentarily stop, and then begin descending. Note also that that point is the vertex of the parabola.
The easiest way to find that time value is to use the formula t = -b/(2a).
Here, t at max height is t = -(144) / (2*[-16]) = 4.5 sec (answer.
What's the rocket's height there? To answer this, sub 4.5 sec for t in the given equation, <span>h(t) = -16t^2 + 144t.
Note: Please use " ^ " to indicate exponentiation:
</span> -16t^2 + 144t (not -16t2 + 144t)
Answer:
1. b⁵
2. +16m⁹
Step-by-step explanation:
1. Add exponents: b³⁺² = b⁵
2. Negative and Negative = positive
2*8 = 16
m⁴⁺⁵ = m⁹
Hence: + 16m⁹
Answer:
3.16227766...
Step-by-step explanation:
find the square root of 10
Answer:
Step-by-step explanation:
Essentially, begin by flipping the x and y terms:
x = (1 - 2y)^2 + 5
Then, solve for y:
Because we know there is only 1 y-value for any given x-value, the inverse of the given function is also a function.