Answer:
The relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)
Step-by-step explanation:
Given;
number of cups of sugar = s
number of cups of water = w
The relationship between the number of cups of water and sugar in this recipe is given as;
½ cup of sugar is proportional to 1 ½ cups of water

Therefore, the relationship between the number of cups of water and sugar in the recipe is w = ¹/₃(s)
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
By the chain rule,


We also have

,

, and

, so at this point we get
Answer:
144
Step-by-step explanation:
1. Rewrite question since you know the variable. Rewritten it would be 4×3^2
2. Do multiplication. 4 times 3 is 12
3. Square 12 which means 12 times 12
4. 12 times 12 is 144.
Hopefully it's right!