Answer:
Step-by-step explanation:
1) we have to solve the associated equation
-16x^2 + 24x + 16 = 0
-2x^2 + 3x + 2 = 0
2x^2 -3x -2 = 0
Δ = 9 + 16 = 25
x1 = (3 + 5)/4= 2
x2 = (3 - 5)/4 =-1/2
the x intercepts are -1/2 and 2
2) a maximum because the parabola opens downwards (the first term is negative)
V(x) = -b/2a = -24/-32 = 3/4
V(y) = -16(9/16) + 24(3/4) + 16 = -9+18 + 16 = 25
V(3/4,25)
3) for draw a parabola is are necessary the coordinates of the vertex and of two points: one that lies to left of the vertex, and one that lies on the right to the vertex.
So we already have the necessary informations to draw it.
Answer:
Roy is 6 years old and Aaron is 1 year old.
Step-by-step explanation:
A is Aaron's age,
R is roy's age,
A = R - 5
R + 4 = 2(A+4)
We can distribute first,
R + 4 = 2A + 8
Subtract 4 from each side,
R = 2A + 4
Since A = R - 5, you can substitute in R - 5 for A in the equation,
R = 2(R-5) + 4
Distribute,
R = 2R - 10 + 4
Since - 10 + 4 = -6, we can do this,
R = 2R - 6
Subtract R from both sides,
0 = R - 6
Add 6 to both sides and you have part of your answer;
R = 6
Since A = R - 5,
A = 6 - 5
A = 1, so Aaron's age is 1.
Answer: -4/5
Solving Steps:
10x+8=0
10x=-8
x=-4/5
Answer:
81
Step-by-step explanation:
57(2)=114 (for the 2 widths of the rectangle)
276-114=162 (the given perimeter minus the 2 widths)
162/2 (since there are 2 lengths)
=81
hope that helps:)
