Answer:
f^-1(x) = (x² + 21)/7
Step-by-step explanation:
Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:
Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:
y² = 7x – 21
Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:
y² + 21 = 7x
Step 3: Divide both sides of the equation by 7. Doing that we have:
x = (y² + 21)/7
Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:
f^-1(x) = (x² + 21)/7
It looks like everyone's amount of money is based on Maria's amount of money. Let's say Maria is M, Hans is H and Dan is D. Maria has M amount of money. If Hans has 10 more than Maria, he has M+10. If Dan has 3 times what Hans has and Hans has (M+10), then Dan has 3(M+10) which is 3M+30. Altogether they have 95 dollars. So we will add up what they have and set it equal to 95. M+10+M+30+3M=95. That simplifies to 5M+40=95 and 5M=55. Therefore, Maria has 11 dollars. Hans has 10+11=21, and Dan has 3(21)=63. 11+21+63=95
188
141 divided by 3 is 47 so 47 times 4 is 188
Answer: 2.50 dollars
Explanation:
Locate 5 on the x axis, which corresponds to buying 5 kgs of apples.
Draw a vertical line through 5 on the x axis until you reach the blue line. Mark this as point P.
From point P, draw a horizontal line until you reach the y axis. You should arrive at y = 2.5
This tells us that buying x = 5 kgs of apples will cost a total of y = 2.50 dollars.
