Answer:
x=8 ?
Step-by-step explanation:
Answer:
J.
Step-by-step explanation:
It crosses through (0,0) and has a slope of 2.5 or rather 5/2 because when the x value is at 4 the y value is at 10 that simplifies to 5/2 or 2.5.
Answer:
y = (x - 10)^2 / 100 + 1
Step-by-step explanation:
given:
A suspension footbridge has two 2-meter vertical supports 20 meters apart so the cable connecting 'em will be a convex parabola
The lowest point of the cable, which is the vertex, 1 meter above the path.
y-axis represents the left support and the other vertical support is at x=20
by symmetry, the vertex is mid-pt between the two supports, @ x=20/2=10
so vertex is at (10,1)
vertex form of parabola is y = a(x - h)^2 + k, where (h, k) is the vertex
so y = a(x-10)^2 + 1
at y-axis, x=0, y=2
2 = a(0-10)^2 + 1
2 - 1 = 100a
a = 1/100
so the eqn is y = (x - 10)^2 / 100 + 1
Answer: x = -0.377
Step-by-step explanation:
We have the equation:
4^(5*x) = 3^(x - 2)
Now we can use the fact that:
Ln(A^x) = x*Ln(A)
Then we can apply Ln(.) to both sides of the equation to get:
Ln(4^(5*x)) = Ln(3^(x - 2))
(5*x)*Ln(4) = (x - 2)*Ln(3)
(5*x)*Ln(4) - x*Ln(3) = -2*Ln(3)
x*(5*Ln(4) - Ln(3)) = -2*Ln(3)
x = -2*Ln(3)/(5*Ln(4) - Ln(3)) = -0.377
