Answer:
![(a)\ f^{-1}(-15) = -6](https://tex.z-dn.net/?f=%28a%29%5C%20f%5E%7B-1%7D%28-15%29%20%3D%20-6)
![(b)\ f^{-1}(4) + f(9)=0](https://tex.z-dn.net/?f=%28b%29%5C%20f%5E%7B-1%7D%284%29%20%2B%20f%289%29%3D0)
Step-by-step explanation:
Given
The attached table
![(a)\ f^{-1}(-15)](https://tex.z-dn.net/?f=%28a%29%5C%20f%5E%7B-1%7D%28-15%29)
This represents an inverse function.
So, we look into x row for its value.
i.e.
![f^{-1}(-15) = -6](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28-15%29%20%3D%20-6)
![(b)\ f^{-1}(4) + f(9)](https://tex.z-dn.net/?f=%28b%29%5C%20f%5E%7B-1%7D%284%29%20%2B%20f%289%29)
Just like (a)
---- by looking into the x rows
![f(9) = 11](https://tex.z-dn.net/?f=f%289%29%20%3D%2011)
So:
![f^{-1}(4) + f(9)=-11 + 11](https://tex.z-dn.net/?f=f%5E%7B-1%7D%284%29%20%2B%20f%289%29%3D-11%20%2B%2011)
![f^{-1}(4) + f(9)=0](https://tex.z-dn.net/?f=f%5E%7B-1%7D%284%29%20%2B%20f%289%29%3D0)
Answer:
an = 5n + 2
Step-by-step explanation:
an = 7 + 5(n - 1)
an = 7 + 5n - 5
an = 5n + 2
Answer:
3. x=14° y=7
4. x=29° y=3
Step-by-step explanation:
3. this is a 45 - 45- 90 triangle
so the side is a-a-a√2 ( two sides are the same)
4y-3=10+2y+1 -- collect like terms
4y-2y=10+1+3
2y=14
y=7
find the angle of the inside triangle
180-59-90 =
31°
we know the big triangle was a 45-45-90 angle
so x+31=45
x=45-31
x=14°
4. this is a square, all sides are same
5y+3y=24
8y=24
y=3
angle is 90°
x+x+9y+5=90
we know y=3 --substitute
x+x+9(3)+5=90
2x+27+5=90
2x=90-27-5
2x=58
x=58/2
x=29
Tim would have to do 18 chores (2 chores 9 times or 1 chore 18 times) to be able to buy the video game.
Step-by-step explanation:
Step 1; Tim's parents will give him $3 for every two chores. This equals $1.50 for a single chore. He wants to save up $27 so that he can buy the video games he wants.
Step 2; The number of times he has to do the chores to be able to but the video game is a division between the money he wants to save up by the money he gets for the chores.
Number of 2 chores he needs to do = Amount of money he wants to save up / money he gets for doing two chores
= $27 / $3 = 9 times.
Number of single chores he has to do =Amount of money he wants to save up / money he gets for doing two chores
$27 / $1.50 = 18 times