78 = 1.50x + 2.50x + 4(x/2)) + 3((x/2) + 1))
78 = 4x + 4(x/2) + 3((x/2)+1)
78 = 4x + 2x + (3(x/2) + 3)
78 = 6x + 1.5x + 3
75 = 7.5x
10 = x
Mr. Abernathy bought 10 wrenches at $1.50, 10 wrenches at $2.50, 5 wrenches at $4, and 6 wrenches at $3.
Answer:
x ≈ 55.6
Step-by-step explanation:
Using the sine ratio in the right triangle
sin20° = 
= 
( multiply both sides by x )
x × sin20° = 19 ( divide both sides by sin20° )
x = 
≈ 55.6 ( to the nearest tenth )
These equations are already in vertex form. So, we can easily find the vertex of each equation.
f(x) = -(x-1)^2 - 2
Vertex: (1,-2)
The vertex in this equation is the maximum because it faces down (a=-1).
g(x) = (x+2)^2 + 1
Vertex: (-2,1)
The vertex in this equation is the minimum because it faces up (a=1).
the correct answer is C to this question
