Answer:
x=2,x=-2,x=0
Step-by-step explanation:
a) The function that represent this situation is y = 90 + 8x.
b) His weight be after 8 weeks is 154 lbs.
<u>Step-by-step explanation:</u>
It is given that,
- He started at 90 kilograms.
- And gained weight at a constant rate of 8 lbs a week.
a) Write a function to represent this situation. Use x and y as your variables.
- Let 'x' be the number of weeks he gained weight.
- Let 'y' be the total weight.
Hence the equation can be framed as,
Total weight = starting weight + weight gained in x weeks.
We know that, each week he gains 8 lbs. Therefore, for 8 weeks he gained 8x lbs of weight.
⇒ y = 90 + 8x.
∴ The function that represent this situation is y = 90 + 8x.
b) What would his weight be after 8 weeks?
To find his week after 8 weeks, substitute x=8 in the function y = 90 + 8x.
⇒ 90 + 8(8)
⇒ 90 + 64
⇒ 154 lbs.
∴ His weight be after 8 weeks is 154 lbs.
Answer:
The inverse function is 3x+2
Step-by-step explanation:
To get the inverse function exchange x and y and then solve for y
y = (x-2)/3
Exchange x and y
x = (y-2)/3
Solve for y
Multiply by 3
3x = 3/3 *(y-2)
3x = y-2
Add 2 to each side
3x+2 = y-2+2
3x+2 =y
The inverse function is 3x+2
Answer:
300π
Step-by-step explanation:
The only difference in the formulas to find volume of each is that the volume of a cone is 1/3πr² and the volume of a cylinder is just πr²