Answer:
Step-by-step explanation:
- -4*(-2/5 + 3x) =
- -4*(-2/5) - 4*(3x) =
- 8/5 - 12x
Correct choice is D
Answer:
25x + 50y = 50,000
x + y = 1250
Step-by-step explanation:
Let x = number of $25 tickets
Let y = number of $50 tickets
Equation of the the money of ticket sales:
25x + 50y = 50,000
Equation of the number of tickets:
x + y = 1250
Answer:
25x + 50y = 50,000
x + y = 1250
Answer:
The largest angle measure in triangle DEF = 82°
Explanation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
So, the shape of the triangles ABC and DEF are the same.
Sine the shape is similar the angle of the dilated triangle and considered triangle are the same.
The largest angle measure in triangle DEF = The largest angle measure in triangle ABC
The largest angle measure in triangle DEF = 82°
Answer: f(x) = -0.016x² + 1.6x
Step-by-step explanation:
If the lenght of the road over the arch is 100m, we can consider a coordinate plane and say that the road starts at point (0,0) and finishes at (100,0). The vertice of the parabola is at point (50,40), because the maximum height is 40 and it is always in the middle point of the roots.
So, we have
(0,0) (50,40) (100,0)
A quadratic function is always on the form: f(x) = ax² + bx + c
0 = a0² + b0 + c
40 = a50² + b50 + c
0 = a100² + b100 + c
0 = a0² + b0 + c → c = 0 ∴
40 = a50² + b50
0 = a100² + b100
_________________________
2500a + 50b = 40 (*2)
10000a + 100b = 0
_________________________
5000a + 100b = 80
10000a + 100b = 0 (-)
__________________________
-5000a = 80
-a=80/5000
a=-0.016
∴
2500a + 50b = 40
2500.(-0.016) + 50b = 40
-40 + 50b = 40
50b = 80
b = 80/50
b = 1.6
This way f(x) = -0.016x² + 1.6x
