Answer:
86
Step-by-step explanation:
![48÷6 [-52 ÷2 {4 - 3 (2 - 15÷3)}] \\ 8[-52 ÷2 {4 - 3 (2 - 15÷3)}] \\ 8[-52 ÷2{1 (2 - 15÷3)}] \\ 8[ - 2.5{ (2 - 15÷3)}] \\ 8[ - 2.5{ ( - 13÷3)}] \\ 8[ - 2.5{ ( - 4.3)}] \\ 8[10.75 { }] \\ = 86](https://tex.z-dn.net/?f=48%C3%B76%20%5B-52%20%C3%B72%20%7B4%20-%203%20%282%20-%2015%C3%B73%29%7D%5D%20%5C%5C%208%5B-52%20%C3%B72%20%7B4%20-%203%20%282%20-%2015%C3%B73%29%7D%5D%20%5C%5C%208%5B-52%20%C3%B72%7B1%20%282%20-%2015%C3%B73%29%7D%5D%20%5C%5C%208%5B%20-%202.5%7B%20%282%20-%2015%C3%B73%29%7D%5D%20%5C%5C%208%5B%20-%202.5%7B%20%28%20-%2013%C3%B73%29%7D%5D%20%5C%5C%208%5B%20-%202.5%7B%20%28%20%20-%204.3%29%7D%5D%20%5C%5C%208%5B10.75%20%7B%20%7D%5D%20%5C%5C%20%20%3D%2086)
<h3>
<u>Answer:</u></h3>
![\boxed{\pink{\sf \leadsto Yes \ there \ is \ a \ solution \ of \ the \ given \ inequality .}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cpink%7B%5Csf%20%5Cleadsto%20Yes%20%5C%20there%20%5C%20is%20%5C%20a%20%5C%20solution%20%5C%20of%20%5C%20the%20%5C%20given%20%5C%20inequality%20.%7D%7D)
<h3>
<u>Step-by-step explanation:</u></h3>
A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.
The inequality given to us is :-
![\bf\implies |2y + 3 | - 1 \leq 0 \\\\\bf\implies |2y+3|\leq 1 \\\\\bf\implies (|2y+3|)^2 \leq 1^2 \\\\\bf\implies (2y+3)^2 \leq 1 \\\\\bf\implies (2y)^2+3^2+2(2y)(3) \leq 1 \\\\\bf\implies 4y^2+9+12y - 1 \leq 0 \\\\\bf\implies 4y^2+12y+8 \leq 0 \\\\\bf\implies 4( y^2 + 3y + 2 ) \leq 0 \\\\\bf\implies y^2+3y +2 \leq 0 \:\:\bigg\lgroup \purple{\bf Standard \ form \ of \ inequality }\bigg\rgroup \\\\\bf\implies y^2y+2y+y+2 \leq 0 \\\\\bf\implies y(y+2)+1(y+2)\leq 0 \\\\\bf\implies ( y+2)(y+1)\leq 0 \\\\\bf\implies \boxed{\red{\bf y \leq (-2) , (-1) }}](https://tex.z-dn.net/?f=%5Cbf%5Cimplies%20%7C2y%20%2B%203%20%7C%20-%201%20%5Cleq%200%20%5C%5C%5C%5C%5Cbf%5Cimplies%20%7C2y%2B3%7C%5Cleq%201%20%5C%5C%5C%5C%5Cbf%5Cimplies%20%28%7C2y%2B3%7C%29%5E2%20%5Cleq%201%5E2%20%20%5C%5C%5C%5C%5Cbf%5Cimplies%20%282y%2B3%29%5E2%20%5Cleq%201%20%20%5C%5C%5C%5C%5Cbf%5Cimplies%20%282y%29%5E2%2B3%5E2%2B2%282y%29%283%29%20%5Cleq%201%20%20%5C%5C%5C%5C%5Cbf%5Cimplies%204y%5E2%2B9%2B12y%20-%201%20%5Cleq%200%20%20%5C%5C%5C%5C%5Cbf%5Cimplies%204y%5E2%2B12y%2B8%20%5Cleq%200%20%5C%5C%5C%5C%5Cbf%5Cimplies%204%28%20y%5E2%20%2B%203y%20%2B%202%20%29%20%5Cleq%200%20%20%5C%5C%5C%5C%5Cbf%5Cimplies%20y%5E2%2B3y%20%2B2%20%5Cleq%200%20%5C%3A%5C%3A%5Cbigg%5Clgroup%20%5Cpurple%7B%5Cbf%20Standard%20%5C%20form%20%5C%20of%20%5C%20inequality%20%7D%5Cbigg%5Crgroup%20%20%20%5C%5C%5C%5C%5Cbf%5Cimplies%20y%5E2y%2B2y%2By%2B2%20%5Cleq%200%20%20%5C%5C%5C%5C%5Cbf%5Cimplies%20y%28y%2B2%29%2B1%28y%2B2%29%5Cleq%200%20%20%5C%5C%5C%5C%5Cbf%5Cimplies%20%28%20y%2B2%29%28y%2B1%29%5Cleq%200%20%20%5C%5C%5C%5C%5Cbf%5Cimplies%20%5Cboxed%7B%5Cred%7B%5Cbf%20y%20%5Cleq%20%28-2%29%20%2C%20%28-1%29%20%7D%7D)
Let's plot a graph to see its interval . Graph attached in attachment .
Now we can see that the Interval notation of would be ,
![\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Corange%20%5Ctt%20%5Cpurple%7B%5Cleadsto%7Dy%20%5Cin%20%5B-2%2C-1%5D%20%7D%7D)
<h3>
<u>Hence</u><u> the</u><u> </u><u>standa</u><u>rd</u><u> </u><u>form</u><u> </u><u>of</u><u> </u><u>inequa</u><u>lity</u><u> </u><u>is</u><u> </u><u>y²</u><u>+</u><u>3y</u><u> </u><u>+</u><u>2</u><u> </u><u>≤</u><u> </u><u>0</u><u> </u><u>and</u><u> </u><u>the </u><u>Solution</u><u> </u><u>set</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>ineq</u><u>uality</u><u> </u><u>is</u><u> </u><u>[</u><u> </u><u>-</u><u>2</u><u> </u><u>,</u><u> </u><u>-</u><u>1</u><u> </u><u>]</u><u> </u><u>.</u></h3>
Answer:
i don't see what you need help
Step-by-step explanation:
Answer:
The correct option is C. 9 houses could 18 men paint in 6 hours.
Step by step explanation:
Let the number of houses paint by 18 men in 6 hours be x.
One man can paint one house in 12 hours.
The part of house painted by a man in 1 hour is
.
The part of house painted by a man in 6 hour is
![\frac{6}{12}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B12%7D%3D%5Cfrac%7B1%7D%7B2%7D)
The total number of men is 18. Therefore the number of houses painted by 18 men is
![x=\frac{1}{2}\times 18=9](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2018%3D9)
Therefore correct option is C. 9 houses could 18 men paint in 6 hours.