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erik [133]
3 years ago
6

Charlie bought a $60 radio on sale 5%-off.how much did he pay including 5% sales tax? A) $54.15 B) $557.00 C) %57.75 D) %59.85

Mathematics
1 answer:
joja [24]3 years ago
8 0
(60(100-5)/100)(100+5)/100

60(95/100)(105/100)

60(.95)(1.05)

$59.85


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tensa zangetsu [6.8K]
If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)
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