F(x)=
![\sqrt[3]{x+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%2B2%7D%20)
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)
so we have
f(x)=
subsitute f(x) with y
y=
switch x and y
x=
![\sqrt[3]{y+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7By%2B2%7D%20)
solve for y
x=
cube both sides
=y+2
subtract 2 from both sides
=y
subsitute y with f⁻¹(x)
f⁻¹(x)=
the answer is f⁻¹(x)=
Answer:
3 3/5 + 1 1/4 = <u>4 17/20</u>
7/8 + 1/12 =<u> 23/24</u>
8/9 - 2/5 = <u>22/45</u>
5 1/4 - 2 2/3 = <u>2 7/12</u>
Step-by-step explanation:
3 3/5 + 1 1/4
First convert into improper fractions
= 18/5 + 5/4
Now find the common denominator
72/20 + 25/20 =
97/20
Now simplify
4 17/20
<u>Next problem:</u>
7/8 + 1/12
find the common denominator
21/24 + 2/24 =
23/24
<u>Next problem:</u>
8/9 - 2/5
find the common denominator
40/45 - 18/45 =
22/45
<u>Next problem:</u>
5 1/4 - 2 2/3
First convert into improper fractions
21/4 - 8/3
find the common denominator
63/12 - 32/12 =
31/12
Now simplify
2 7/12
#1 Mrs. Garcia is making 50 snacks for her 5th grade class. If she uses four 1-kilogram bags of dried fruit, how many of grams of fruit will she use for each snack?
1 kilogram is equal to 1000 grams.
4 kilograms is equal to 4000 grams.
You would need to divide the 4000 total grams by the 50 snack to get how many grams would be in each snack.
So you would do..
4000grams/50snacks = 80 grams each snack.
#3 Toni's recipe also calls for seasonings. She needs to stir in 215 milligrams of pepper and 437 milligrams of salt. What is the difference between the total amount of seasonings and 1 gram?
215 milligrams is equal to 0.215 grams
437 milligrams is equal to 0.437 grams
So you would add these two together
0.215 + 0.437 = 0.652 grams
Then to find the difference you would subtract 0.652 grams from 1 gram
1 - 0.652 = 0.348
0.348 is the difference.
-4(n - 6) = 12
n - 6 = -12/4 divide both sides by -4
n - 6 = -3
n = -3 + 6 add both sides by 6
n = 3
hope that helps, God bless!
Answer:
Number of trucks = 24
Number of SUVs = 24
Step-by-step explanation:
A)
The ratio of cars to trucks is 9:4
The total ratio of cars to trucks is
9+4 = 13
Let x = sum of cars and trucks.
There are 54 cars. Therefore,
x = 54 + t trucks
Number of cars = ratio of cars/ total ratio × sum of cars and trucks. This means,
54 = 9/13 × x
9x / 13 = 54
9x = 13 × 54
9x = 702
x = 702 / 9 = 78
x = 54 + t trucks = number of trucks = 78 = 54 + t trucks
t trucks = 78 - 54 = 24
Number of trucks = 24
B)
The ratio of trucks to SUVs is 12:21
The total ratio of cars to trucks is
12 + 21 = 33
Let y = sum of trucks and SUVs
There are 24 trucks. Therefore,
x = 24 + s SUVs
Number of trucks = ratio of trucks / total ratio × sum of trucks and SUVs. This means,
24 = 12 / 33 × y
12y / 33 = 24
12y = 24 × 33
12y = 792
y = 792 / 12 = 66
y = 24 + s SUVs
66 = 24 + s SUVs
s SUVs = 66 - 24 = 42
Number of SUVs = 24
