Answer:
A parabola opens downward with vertex at (1,20)
Step-by-step explanation:
The function that models the height of bag of candies is
The graph of this function is a parabola that opens downward.
To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.
Factor -16 to get;
Add and subtract the square of half the coefficient of t.
Factor the perfect square trinomial:
The vertex is (1,20)
This means the maximum height after 1 second is 20 feet.
What is $4.30 makeup; 40% discount; 6% tax ?
2(3x) and 2(-9)
so 2*3x equals 6x and 2*-9 equals -18
6x-18
explanation:
The fastest way to find the missing endpoint is to determine the distance from the known endpoint to the midpoint and then performing the same transformation on the midpoint. In this case, the x-coordinate moves from 4 to 2, or down by 2, so the new x-coordinate must be 2-2 = 0. The y-coordinate moves from 4 to -5, or down by 9, so the new y-coordinate must be -5-9 = -14.
An alternate solution would be to substitute (4,4) for (x1,y1) and (2,-5) for (x,y) into the midpoint formula:
x=(x1+x2)/2
y=(y1+y2)/2
Solving each equation for (x2,y2) yields the solution (0,-14).
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