These seem tough, but they are not that bad.
(f o g)(x)
That means to take function g when x = x (It just means that you don't need to do anything with the function) and substitute it into function f wherever there is a x value. (So basically g becomes what x equals)
Here is a visual representation of it.
(f o g)(x) = 2(9x + (3/2)) - (3/9)
We need to distribute the 2 to everything inside the parenthesis.
(f o g)(x) = 18x + (6/2) - (3/9)
Let's simplify the fraction on the right and left, then find a common denominator so we can add / subtract the two fractions.
(f o g)(x) = 18x + (3) - (1/3)
(f o g)(x) = 18x + (9/3) - (1/3)
Combine like terms.
(f o g)(x) = 18x + (8/3)
Our final answer is:
(f o g)(x) = 18x + 8/3
Answer: least value - 22
first quartile - 29
median - 35
third quartile - 47
greatest value - 62
Step-by-step explanation:
Answer:
8.48528137424
Step-by-step explanation:
Answer:
radius = 10
Step-by-step explanation:
As AB is the diameter of the circle, the angle ACB inscribes an arc of 180 degrees, so it is a 90 degrees angle, then the triangle ACB is a right triangle, with hypotenusa AB.
We can find the length of the diameter AB using the Pythagoras' theorem:
AB^2 = CA^2 + CB^2
AB^2 = 12^2 + 16^2 = 400
AB = 20
The radius of the circle is half the diameter, so the radius is 20 / 2 = 10
12*4=<span>48
</span>48><span>40
There will be enough cars.</span>