Answer:
The last one
Step-by-step explanation:
The last table represents a linear function, y = -2x + 3
It’s 101 because 72 and -29 have a difference of 101
You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum. You also know the amplitude has to be 10 since 18+2=20 and 20/2=10. We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.
lets start of with a regular cos(x) graph. This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.
-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.
-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.
Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.
I hope this helps. Let me know if anything is unclear.
To solve your X int you substitute 0 for y.
X int-
-5x+9(0)=-18
-5x=-18
X= 18/5 and the coordínate is (18/5,0)
Then to solve for y int you substitute 0 for x.
-5(0)+9y=-18
9y=-18
Y= -2 and the coordinate is (0,-2)
Answer:
n = 9/4 = 2.250
Step-by-step explanation:
Rearrange: 4*n-(9)=0
Solve: 4n-9 = 0
4n = 9
n = 9/4 = 2.250
answer: n = 9/4 = 2.250
