The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-
Answer:
12 = 3 + p
Step-by-step explanation:
She has a total of 12 pencils
3 of them are red
The rest are "p"
p + 3 must equal 12 because she has a total of 12 pencils consisting of 3 red and "p" as the rest
9% of n is 180
0.09n=180
n=2000
√32x^10y^n simplies to 4x^5y^3√2y
Then n = 7 because √y^7 = √(y^6 * y) = y^3√y
So √32x^10y^7 = 4x^5y^3√2y
Answer
n = 7
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