Answer:
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
Step-by-step explanation:
Given
Given that the function f(x) and g(x) are inverse functions.
To determine
Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
<u>Determining the inverse function of f(x) </u>
A function g is the inverse function of f if for y = f(x), x = g(y)
Replace x with y
Solve for y
Therefore,
YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.
For the resulting sum we can use the Law of Cosines or just add up the components. Let's try it both ways.
Components first. In the east direction we have
300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour
In the north direction we have
0 + 100 sin 30° = 100 (1/2) = 50 miles per hour
So a total speed of
sqrt{386.6^2 + 50^2} = 389.82 miles per hour
Answer: 389.82
--------
OK let's try the Law of Cosines. We have sides 300 and 100 and included angle 150°.
Answer:
Step-by-step explanation:
Write the equation as:
Price of books times number of books + price of binders times number of binders = total price
So then the final answer is 3(2)+5(x)=16
Answer - to solve for the equivalent equation of r you would need to use the formula r=c/pi2.
<u>Answer:</u>
x = -3/7
<u>Step-by-step explanation:</u>
We are given the following equation for which we have to solve for x:
So we will start by expanding the equation by multiplying the common factor with the brackets to get:
Arranging the like terms together (variables on one side of the equation and constants on the other side) to get:
Therefore, x = -3/7.
