Answer:
a) Water height, H(g) = 8g^2 + 3g -4 - [9g^2 -2g -5] = 8g^2 + 3g -4 -9g^2 + 2g +5 = -g^2 +5g +1
b) g = 1
H(g) = -(1)^2 + 5(1) + 1 = -1 + 5 + 1 = 5
g=2
H(g) = -(2)^2 + 5(2) + 1 = -4 + 10 + 1 = 7
g=3
H(g) = -(3)^2 + 5(3) + 1 = -9 +15 +1 = 5
c) Greatest height
Find the vertex of the parabole
The vertex is at the mid point between the two roots.
To find the roots you can use the quadratic equation
The result is g = 5/2 + [√29]/2 and g = 5/2 - [√29]/2
The middle poin is 5/2 = 2.5
Now find H(2.5) = -(2.5)^2 + 5(2.5) + 1 = 7.5 ≈ 7.3
hope this helps
If Chad can paint the whole room in 5 hours, in 1 hour he gets 1/5 of it painted. If Cassie can paint the whole room in 3 hours, in 1 hour she gets 1/3 of it painted. If we add those together we can find out how much of the room they can paint together in one hour. 1/5 + 1/3 = 1/x, with x being the number of hours it will take them to paint the room together. Common denominator is 15, therefore, 3/15 + 5/15 = 1/x and 8/15 = 1/x. Cross-multiply to get 8x = 15, so it will take them 15/8 hours, or 1.9 hours to paint the whole room together.
This is the answer and method is above
Only 5 teams, with 3 people not being able to play
