Answer:
Hope this helps
Step-by-step explanation:
9. 18
10.36
11. 14
12. 6
13. 12
14. 22
15. 8
16. 3
Functions are relations that only have one output per input (or graphically passes the vertical line test). You can either go on Desmos and graph this or just look at my explanations below.
1) function, pretty much all polynomials will be a normal function
2) function. This is a rational function, meaning you'll have some weird gaps and lines going to infinity but it's still a function. It's formed by a polynomial divided by another polynomial.
3) function, looks like you can simplify this into a standard rational function.
4) relation, y with an even square root are never going to give you a single solution (due to the nature of a + or - answer;
= +3 and -3)
This is the concept of trajectories;
We are required to calculate the time taken for the base ball whose distant to reach the maximum height has been modeled by h=-16t^2+64t+4.2 took to hit the ground. Here we proceed as follows;
At the time when the base ball hits the ground the height,h=0
Thus;
-16t^2+64t+4.2=0
this is a quadratic equation, to solve the quadratic equation we use the formula;
t=[-b+/- sqrt(b^2-4ac)]/(2a)
where;
a=-16,b=64, c=4.2
thus substituting the values in our formula we get:
t=[-64+/-sqrt(64^2-4*(-16)*4.2)]/(-16*2)
t=[-64+/- sqrt(4364.8)]/(-32)
t=[-64+/-66.1]/(-32)
t=4.1 or-0.1
thus the we take the positive value t=4.1 and we conclude that the time taken for the ball to hit the ground was 4.1 seconds
y = (9x) ^ (1/3)
exchange x and y then solve for y
x = (9y) ^ (1/3)
cube each side
x^3 = 9y
divide each side by 9
1/9 x^3 = y
the inverse function is 1/9 x^3