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
Answer: 76
Step-by-step explanation:
The angles are congruent on both sides
Answer:
3 French horns
6 tubas
9 trumpets
Step-by-step explanation:
Let the number of French horns be x.
<u>Number of French horns</u> = x
There are twice as many tubas as French horns, so
<u>Number of tubas</u> = 2x
There are three more trumpets than tubas, so
<u>Number of trumpets</u> = 2x + 3
Five times the number of trumpets equals nine times the number of French horns, plus triple the number of tubas, so
