17 I think might be wrong cuz I suck at this
Answer:
Part 1) (the missing steps in the explanation)
Part 3) (8, 4); The vertex represents the maximum profit
Part 4) x = 3.58, 0.42
Part 5) x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made
Part 6) 2(x − 7)2 + 118; x = $7
Part 7) The maximum height of the puck is 4 feet. −(x − 4)^2 + 6
Part 8) (x + 3)^2 − 4
Part 9) 2(x − 1)^2 = 4
Part 10) 8(x − 4)^2 + 592
Step-by-step explanation:
Answer:
Step-by-step explanation:
x² -14x+50= 0
this equation has 2 solutions because is a quadratic
the solurions are imaginary roots because the discriminant is less then 0
b²-4ac = (-14)²-4*1*50 = 194-200= -6
to find the actual roots use the quadratic formula
Step-by-step explanation:
the midpoint between 2 points (x1, y1) and (x2, y2) is simply ((x1+x2)/2, (y1+y2)/2).
so,
1.
(9, 7) to (4, -3)
midpoint is ((9+4)/2, (7+ -3)/2) = (13/2, 4/2) = (6.5, 2)
2.
(-7, -5) to (2, 1)
midpoint is ((-7+2)/2, (-5+1)/2) = (-5/2, -4/2) = (-2.5, -2)
3.
now we have the midpoint and need the second point.
(4, 2) over (3, 4) to (x, y)
3 = (4 + x)/2
6 = 4 + x
x = 2
4 = (2 + y)/2
8 = 2 + y
y = 6
4.
(-2, 1) over (-3, 2) to (x, y)
-3 = (-2 + x)/2
-6 = -2 + x
x = -4
2 = (1 + y)/2
4 = 1 + y
y = 3
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