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
Im assuing the 0.6 is a percentage and not the number of passes then :
100% - 60% = 40%
Answer:
70.69
Step-by-step explanation:
46 2/3 divided by 2/3
46.66 divided by 0.66
The anwser is 70.69
If the cook makes twice as much beef then the number of hamburgers would be two times larger which would be 141.39.
Half as much beef would be 70.69 divided by two which is 35.34.
Answer:
The ratio of cats to dogs is 2:1 The ratio of dogs to cats is 1:2 or half as many dogs as cats. There are six cats and three dogs.
Step-by-step explanation:
one and two
Answer:
There are 14 pieces of candy in each box.
Step-by-step explanation:
42 divided by 3 equals 14.
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