Answer:
$0.25
Step-by-step explanation:
You can use systems of equations to solve this.
3a+2p = 1.25
5a+p = 1.5
Multiply the second equation by 2.
3a+2p = 1.25
10a+2p = 3
Subtract the bottom from the top
-7a= -1.75
Divide by -7
a= 0.25
Each apple is $0.25 (in this case, the peach also costs $0.25)
75 42
----- -----
100 x
75 x= 4200
--- ------
75 75
x = 56
Answer:
The answer to your question is:
Step-by-step explanation:
Data
f(x) = -2x² + 8x - 2
Process
-2x² + 8x = y + 2
-2(x² - 4x + 4) = y + 2 - 8
-2(x - 2)² = y - 6
(x - 2)² = 1/2 (y - 6)
Vertex = (2, 6)
Axis of symmetry = x = 2
y-intercept
f(0) = -2(0)² + 8(0) - 2
f(0) = 0 + 0 - 2
f(0) = -2
Domain (-∞, ∞)
Range (-∞, 6]
See the graph below
1st :The angle of depression 30° = the angle of elevation (from the truck to the height of the building.
2nd :
cos 30° = (adjacent side)/(hypotenuse)
cos 30° = x/100, but cos 30°= (√3)/2
(√3)/2 = x/100 and x = (100√3)/2
and x = (50.√3) = 86.60 m