Step-by-step explanation:
Distribute into 5x² into (3x +2).
The simplified expression is <em>15x³ + 10x²</em>
A gumball machine has 23 green gumballs, 52 red gumballs, 30 pink gumballs, 34 blue gumballs, and 61 yellow gumballs. What perce
1 answer:
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Answer:
vertex: (2,-18)
Step-by-step explanation:
y = ax² + bx + c
(-1,0) : a - b + c = 0 ...(1)
(5,0) : 25a +5b +c = 0 ...(2)
(0,-10): 0a + 0b + c = -10 c=-10
(1) x5: 5a - 5b + 5c = 0 ...(3)
(2)+(3): 30a + 6c = 0 30a = -6c = 60 a = 2
(1): 2 - b -10 = 0 b = -8
Equation: y = 2x² - 8x -10 = 2 (x² -4x +4) - 18 = 2(x-2)² -18
equation: y = a(x-h)²+k (h,k): vertex
vertex: (2,-18)
Answer:
104.7 in^3
Step-by-step explanation:
Step one:
given data
The ball has a radius of 5 inches and
the cylinder has a height of 8 inches
Step two:
The volume of the cylinder
substitute our data
The volume of the ball
substitute our data
The space will have a volume of
=628.4-523.7
=104.7 in^3