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Answer:
c=5
Step-by-step explanation:
4(c-3)=8 Distribute
4c-12=8 Add 12 to both sides
4c=20 Divide by 4 on both sides
c=5
Answer:
the three boxes should be filled with
2 8 -12
respectively
Step-by-step explanation:
The general equation of the parabola in this problem is
y = a(x-h)^2 + k
vertex is at (-2, -20), => k=-20, h = 2
so the equation is
y = a(x+2)^2 - 20
To have y-intercept = -12, we set x = 0
-12 = a(0+2)^2 - 20
a(2^2) = 8
a = 2
therefore the equation of the parabola is
y = 2 (x+2)^2 -20 = 2x^2 + 8x - 12
the three boxes should be filled with
2 8 -12
respectively
Let the total number of cans be x and the total number of tennis balls be y,
Since increasing the total number of cans causes the total number of tennis balls to increase too, x and y is direct in proportion.
Let the constant be k,
y = kx
45 = k9
k = 45/9
= 5
The constant of the proportionality for this situation is 5.
