Answer:
(x + 12) / 4
Explanation:
This was the way I was taught, hopefully it helps you.
y = 4x - 12
x = 4y - 12
x + 12 = 4y
(x + 12) / 4 = y
The speed of the faster cyclist will be 30 miles/hour.
<em><u>Explanation</u></em>
One cyclist is 3 times as fast as the other.
Lets assume that the speed of the slower cyclist is miles/hour.
So, the <u>speed of the faster cyclist</u> will be: miles/hour.
They start riding toward each other at the same time and meet 2 hours later.
We know that,
So, the <u>distance traveled by slower cyclist</u> in 2 hours miles and the <u>distance traveled by faster cyclist</u> miles.
Given that, they were 80 miles apart at the starting. So, the equation will be.....
So, the speed of the faster cyclist will be: (3×10)= 30 miles/hour.
The circumference of a circle is C = 2πr^2 (2nd power) Radius (r) is the distance from the center of the circle to the outside of it. To find radius divide the diameter (d) by 2. The diameter (d) of a circle is the radius (r) multiplied by 2. To find the diameter (d) you need to do C ÷ π.
For example):
Finding diameter - 76/3.14 = 24.19 (d)
Finding radius - 24.19/2 = 12.095 (r)
EDIT: (C) Means Circumference
Answer:
8.) $7325.98
9.) $8218.10
Step-by-step explanation:
Compounded Interest Rate Formula: A = P(1 + r/n)^nt
Simply plug in our known variables into the formula:
A = 6000(1 + 0.04/12)^60 = 7325.98
A = 5000(1 + 0.05/4)^40 = 8218.10
1. has a horizontal asymptote at
This means that
(for at least one of these limits)
2. has a vertical asymptote at
This means that has a non-removable discontinuity at . Since is some rational function, there must be a factor of in its denominator.
3. has an -intercept at (1, 0)
This means .
(a) With
the second point above suggests . The first point tells us that
In order for the limit to be 0, the denominator's degree should exceed the numerator's degree; the only way for this to happen is if so that the linear terms vanish.
The third point tells us that
So
(b) Since
we find that , and and .