Answer:
The answer is 3x +y^3
Step-by-step explanation:
I hope this helps
Answer:
÷ ![\frac{20}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B5%7D)
Step-by-step explanation:
÷ ![\frac{3}{5} =\\](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%20%3D%5C%5C)
![\frac{3}{8} *\frac{5}{3} =](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%20%2A%5Cfrac%7B5%7D%7B3%7D%20%3D)
![\frac{15}{24} = \frac{5}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B24%7D%20%3D%20%5Cfrac%7B5%7D%7B8%7D)
So we need a division problem that equals ![\frac{5}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D)
![\frac{5}{8} =\frac{25}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%20%3D%5Cfrac%7B25%7D%7B40%7D)
=
÷ ![\frac{20}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B5%7D)
Answer:
![y=-2.18,-0.22](https://tex.z-dn.net/?f=y%3D-2.18%2C-0.22)
Step-by-step explanation:
We have been given the equation
![(5y+6)^2=24](https://tex.z-dn.net/?f=%285y%2B6%29%5E2%3D24)
Take square root both sides. When ever we take square root, we include plus minus sign
![\sqrt{(5y+6)^2}=\pm\sqrt{24}\\\\5y+6=\pm2\sqrt6](https://tex.z-dn.net/?f=%5Csqrt%7B%285y%2B6%29%5E2%7D%3D%5Cpm%5Csqrt%7B24%7D%5C%5C%5C%5C5y%2B6%3D%5Cpm2%5Csqrt6)
Now, subtract 6 to both sides of the equation
![5y=-6\pm2\sqrt6](https://tex.z-dn.net/?f=5y%3D-6%5Cpm2%5Csqrt6)
Divide both sides by 5
![y=\frac{1}{5}(-6\pm2\sqrt6)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B5%7D%28-6%5Cpm2%5Csqrt6%29)
![y=\frac{1}{5}(-6+2\sqrt6),y=\frac{1}{5}(-6-2\sqrt6)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B5%7D%28-6%2B2%5Csqrt6%29%2Cy%3D%5Cfrac%7B1%7D%7B5%7D%28-6-2%5Csqrt6%29)
In decimal we have
![y=-2.18,-0.22](https://tex.z-dn.net/?f=y%3D-2.18%2C-0.22)
G(x)=(-|x-1|)+(-0.5) is the awnser for this one
Answer:
24750
Step-by-step explanation:
Given that 6 freshmen, 5 sophomores, 6 juniors, and 5 seniors are eligible to be on a committee
16 students be chosen if it is to consist of exactly 4 juniors and exactly 3 seniors, and the rest must be freshmen or sophomores
i.e. dance committee will have 16 students out of which
4 juniors 3 seniors 8 freshmen or sophomores from
6 juniors, 5 seniors and 5 sophomores and 6 freshmen
Junior can be selected in 6C4 = 15 ways
Seniors in 5C3 = 10 ways
Freshman or sophomores in 11C8 = 165
The total no of ways = product of these three
= ![15*10*165\\= 24750](https://tex.z-dn.net/?f=15%2A10%2A165%5C%5C%3D%2024750)