Answer:
Step-by-step explanation:
Step 1: Factor
g = a(H + n)
Step 2: Divide both sides by expression in parenthesis
g/(H + n) = a
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:
x + 5 * 4
In this problem we have to transfer the expression from verbal to mathematical language. Which would be:
x + 5 * 4
"x" represents "a number"
"5 more than a number" is represented by "x + 5"
"the product of" is indicating a multiplication, which is represented by "*"
Hope it helped,
BioTeacher101
A title could be the effect of the amount/number of days on the amount/number of bacteria. For the 2nd The IV is temperature, the DV is Enzyme Activity and a title could be The effect of Temperature on Enzyme activity.
Ummmm
pie = π
i think its right
