Coefficient is 6 and -5
constant is xy
A rational function is any function which can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials
Answer:
- time = 1second
- maximum height = 16m
Step-by-step explanation:
Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation
f(t)=-16t²+32t... (1)
The pumpkin reaches its maximum height when the velocity is zero.
Velocity = {d(f(x)}/dt = -32t+32
Since v = 0m/s (at maximum height)
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
The pumpkin reaches its maximum height after 1second.
Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)
f(1) = -16(1)²+32(1)
f(1) = -16+32
f(1) = 16m
The maximum height of the pumpkin is 16m
Answer:
28.27cm²
Step-by-step explanation:
formula:
A=πr²
d = 2r
Solving for A
A=1/4π d² = 1/4 · π · 6² ≈ 28.27433cm²
rounded: 28.27cm²
hope this helped!
We need to know the definition of the "combined function" h(x). I'm going to guess--by looking at answers--that the function is

making it

This function is undefined wherever the denominator is equal to 0 (division by zero is undefined). Factor the denominator.

The two values of x that make the denominator 0 are 3 and -3, otherwise written

.