Steps to solve:
-1/2 + (3/4 * 4/9)
~Simplify
-1/2 + 14/36
~Simplify
-1/2 + 7/18
~Find common denominators
-9/18 + 7/18
~Add
-2/18 or -1/9
Best of Luck!
I believe the greatest common divisor would be 6.
hope this helps you! :-)
we know that
If two numbers have a sum of zero, then we say they are additive inverses.
so
z+0.8=0 -------> the sum is equal to zero
z=-0.8------> the additive inverse of z is equal to -0.8
using a graph tool
see the attached figure
<u>the answer Part a) and part b) in the attached figure</u>
5x4 = 20
So the avocados would be $20
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.
