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
Answer:
76%
Step-by-step explanation:
So basically 528 represents a full circle and the amount in the circle is 2:5 to that in the stalls.
So you divide 528 by 2 and then multiply it by 5 to get a full stall of 1320
you then add 1320 and 528 to get a full theater of 1848
to get 2/3 of seats in the stall you divide 1320 by 3 and then multiply it by 2 to get 880.
For 2/3 of the stall and a full circle you add 880 and 528 to get 1408.
You divide the amount of people in the theater on Friday by the total amount of people which the theater can hold so 1408 divided by 1848 and you get the percentage of 76%
$76.80 minus 12 1/2 is $64.30.
Answer: 314
Take each number place and subtract them from each other.
Step-by-step explanation:
Fill in: turn into, access, instantly, endless,
dissolve, assembly.
1. Spray-on clothes contain minute fibres which
dry........................... .
2 The Airbike is ready to ride as it doesn't require
any........................... .
3 Dr. Torres has developed a fabric that can .................... any
garment.
4. The possibilities of using the new spray are....................... .
5. A touchscreen gives you instant......................... to the Internet.
6. Some supermarkets are using plastic bags which.....................in water, leaving no trace.
