The inverse of f(x) would be f(x) = 2
- 8.
We can find this by taking the original equation and switching the x and f(x). Once we do this, we solve for the f(x) in its new place and that is the inverse equation. It is taken step by step for you below.
Take the original.
f(x) = 
Now switch the x and f(x)
x = 
Now square both sides.
= 
f(x) + 4
Now subtract 4 from both sides.
- 4 = f(x)
Now multiply both sides by 2.
2 - 8 = f(x)
And once you've returned to f(x) =, then you have your inverse.
9514 1404 393
Answer:
consistent, independent
Step-by-step explanation:
Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...
y = x - 1
The x-coefficients of this and the first equation are different, so the system is <em>consistent</em> and <em>independent</em>.
__
A system is independent if the equations describe different lines.
A system is inconsistent if the equations describe parallel lines.
Here, the different lines are not parallel, so the system is independent and consistent.
For this case we convert the mixed numbers to improper fractions:
Now, we propose a rule of three:
pounds of blueberries ------------->
cups of muffin mix
7 pounds of blueberries -----------------------------> x
Where the variable "x" represents the number of cups of muffin mix that Honey should use.
So approximately Honey should use 
cups of muffin mix
Answer:
Approximately Honey should use cups of muffin mix
Answer:
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Answer:
8820 ways
Step-by-step explanation:
Given that :
Selecting 4 pairs of pant from 8 available and selecting 5 shirts from 9 available
Using combination :
4 pants from 8 = 8C4
5 shirts from 9 = 9C5
Recall:
nCr = n! / (n-r)! r!
8C4 * 9C5 = [8! /(8-4)!4!] * [9! /(9-5)!5!]
8C4 * 9C5 = (8! /4!4!) * (9! /4!5!)
8C4 * 9C5 = 70 * 126
8C4 * 9C5 = 8820 ways
