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
Well 32 x 405 is 12,960, but it ask for 2 numbers added to make 12,960 so the answer is 810 + 12,150 which is 2 products that add up to the answer 12,960.
17% of 400 is 68.
Another way u can do it is 17% of 100 four times since its easier to do.
17% of 100 is 17.
we have to do this 4 times since 100 goes into 400 four times.
So 17*4 =68
Answer:
Step-by-step explanation:
the percent = # of dinner events/(total # of events)
= 212/(212 + 148)
= 212/360
= 0.5889
= 58.89%
Formula for the volume not a cone=πr2H. π=3.14. R=12×2=24. H=16. 3.14×24=75.36. 75.36×16=1205.76. ANSWER: 1205.76
