Answer:
1. When someone takes my points & doesn't answer my question correctly i go on their profile & take most of their most <3
Step-by-step explanation:
Answer:
Manuel owes more to Calvin(75 cents) as compared to Lester(50 cents).
Step-by-step explanation:
We are given the following information in the question:
Manuel borrowed 50 cents from Lester and 75 cents from Calvin. Manuel claims that he owes lee to Calvin.
Manuel's claim is wrong.
This could be understood by comparing:
![\displaystyle\frac{-3}{4}~and~\displaystyle\frac{-1}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B-3%7D%7B4%7D~and~%5Cdisplaystyle%5Cfrac%7B-1%7D%7B2%7D)
The negative sign here states that this amount is owed to someone, we do not own this money.
![\displaystyle\frac{-3}{4}~and~\displaystyle\frac{-1}{2}\\\\\displaystyle\frac{-3}{4}~and~\displaystyle\frac{-2}{4}\\\\\displaystyle\frac{-3}{4} < \displaystyle\frac{-2}{4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B-3%7D%7B4%7D~and~%5Cdisplaystyle%5Cfrac%7B-1%7D%7B2%7D%5C%5C%5C%5C%5Cdisplaystyle%5Cfrac%7B-3%7D%7B4%7D~and~%5Cdisplaystyle%5Cfrac%7B-2%7D%7B4%7D%5C%5C%5C%5C%5Cdisplaystyle%5Cfrac%7B-3%7D%7B4%7D%20%3C%20%5Cdisplaystyle%5Cfrac%7B-2%7D%7B4%7D)
![\displaystyle\frac{3}{4}\times \text{1 dollar} = 75\text{ cents}\\\displaystyle\frac{1}{2}\times \text{1 dollar} = 50\text{ cents}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B3%7D%7B4%7D%5Ctimes%20%5Ctext%7B1%20dollar%7D%20%3D%2075%5Ctext%7B%20cents%7D%5C%5C%5Cdisplaystyle%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctext%7B1%20dollar%7D%20%3D%2050%5Ctext%7B%20cents%7D)
Thus, Manuel owes more to Calvin(75 cents) as compared to Lester(50 cents).
Answer:
So 4th choice seems more accurate than others.
Step-by-step explanation:
Given function is ![f(x)=-\frac{2}{3}\left|x+4\right|-6](https://tex.z-dn.net/?f=f%28x%29%3D-%5Cfrac%7B2%7D%7B3%7D%5Cleft%7Cx%2B4%5Cright%7C-6)
compare this formula with f(x)=a|x-h|+k, we get h=-4, k=-6
We know that vertex for above formula is given by (h,k) then vertex for given function will be (-4,-6)
which is different than given choice so first choice is not possible.
We see that 2/3 is multiplied outside of the parent function |x| so that will create vertical not horizontal compress so 2nd choice is wrong.
when value of a is positive the graph opens up. But we have a=-2/3 which is negative so graph will open down. Hence 3rd choice is wrong.
Absolute function will have domain, all real number so x<=-6 is part of that which is partially correct.
So 4th choice seems more accurate than others.
Answer:
![\large\boxed{e.\ \{a,\ b,\ c,\ d,\ 0,\ 2\}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Be.%5C%20%5C%7Ba%2C%5C%20b%2C%5C%20c%2C%5C%20d%2C%5C%200%2C%5C%202%5C%7D%7D)
Step-by-step explanation:
![\text{The union (denoted by}\ \cup\ \text{) of a collection of sets is the set of all elements of the sets. }\\\\A=\{0,\ 1,\ 2,\ 3\}\\\\B=\{a,\ b,\ c,\ d\}\\\\C=\{0,\ a,\ 2,\ b\}\\\\B\ \cup\ C=\{a,\ b,\ c,\ d,\ 0,\ 2\}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20union%20%28denoted%20by%7D%5C%20%5Ccup%5C%20%5Ctext%7B%29%20of%20a%20collection%20of%20sets%20is%20the%20set%20of%20all%20elements%20of%20the%20sets.%20%7D%5C%5C%5C%5CA%3D%5C%7B0%2C%5C%201%2C%5C%202%2C%5C%203%5C%7D%5C%5C%5C%5CB%3D%5C%7Ba%2C%5C%20b%2C%5C%20c%2C%5C%20d%5C%7D%5C%5C%5C%5CC%3D%5C%7B0%2C%5C%20a%2C%5C%202%2C%5C%20b%5C%7D%5C%5C%5C%5CB%5C%20%5Ccup%5C%20C%3D%5C%7Ba%2C%5C%20b%2C%5C%20c%2C%5C%20d%2C%5C%200%2C%5C%202%5C%7D)