Answer:
x = negative three fifthsy + 3
Step-by-step explanation:
5x + 3y = 15
Subtract 3y from both the sides,
5x = 15 - 3y
Divide by 5 on both sides,
x = -3y/5 + 15/5
x = -3y/5 + 3
Answer:
f ○ g(x) = x and g ○ f(x) = x is the correct composition
Step-by-step explanation:
INVERSE FUNCTIONS: Two functions are said to be inverse of each other if for every y = f(x), there exists a function g(x),
such that x =
= g(y)
Now, here if we need to show tha two functions f(x) and g(x) are inverse functions of each other , then show that for every x:
1. f o g(x) = f(g(x))= x
2. g o f(x) = g(f(x)) = x
If any two functions satisfy these two conditions, then they are inverse of each other.
Answer: 2.4 miles per hour
Step-by-step explanation: just do 7.2/3=2.4
or another way you could do this is do 2.4 x 3=7.2
Answer:
He must charge minimum £0.84 for one hot dog.
Step-by-step explanation:
Ingredients cost for hot dogs at the supermarket,
Price of dog sausages tin of 8 = 50p ≈ £0.5
Price of dog bun packs of 6 = 90p ≈ £0.90
Number of tins required for 150 hot dogs =
= 6.25
So student will purchase 7 tins.
Cost of 7 tins = 7 × 0.5
= £3.5
Number of dog buns packets required =
= 25
Cost of 25 packs = 25 × 0.9
= £22.5
Total cost of the material used for 150 buns = 22.5 + 3.5
= £26.0
Let the selling price of each hot dog = £x
Then selling price of 150 hot dogs = £150x
Students wants the profit = £100
So, Selling price - Cost price = profit
150x - 26 = 100
150x = 126
x = 
x = £0.84
Therefore, he must charge minimum £0.84 for one hot dog.
The slope equals 1/2 (rise over run)