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:
y-7/ 12y+3
Step-by-step explanation:
Answer:
C) 1/6y+1/6(y+12)-2
Step-by-step explanation:
The porosity of the gravel sample is 28.75%
We have to determine.
What is the porosity of the gravel sample?
<h3>The porosity of the gravel sample;</h3>
Porosity is the term which is defined as the volume of voids present in the soil to the total volume of the soil.
The formula used to calculate the Porosity is;
A sponge is a case of a permeable fabric because it incorporates a huge number of purge spaces compared to its volume.
Porosity is the property of a question that communicates the entire volume of purge or pore space within the material.
Hence, the porosity of the gravel sample is 28.75%
Learn more about "porosity" :
brainly.com/question/2593663
I think it’s 9hrs 15 mins
