Answer: closed circle pointing to the right.
Step-by-step explanation:
Given that the inequality equation is
6 ( 2 - 3y ) < = 36
Open the bracket
12 - 18y < = 36
Collect the like terms
- 18y < = 36 - 12
Make y the subject of formula
The inequality sign will change the moment you multiply or divide both sides by negative numbers
Y > = - 24/18
Y > = - 4/3
That is y is greater than or equal to negative 4/3
Graphing the above inequality,
The point will be between -2 and -1. And it will be closer to -1.
The arrow will point to the right and it will be a closed circle since it is greater than or equal to.
Answer:
![\sqrt{74}](https://tex.z-dn.net/?f=%5Csqrt%7B74%7D)
Step-by-step explanation:
<u>Distance between two points</u>
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
![\textsf{let}\:(x_1,y_1)=(2,-6)](https://tex.z-dn.net/?f=%5Ctextsf%7Blet%7D%5C%3A%28x_1%2Cy_1%29%3D%282%2C-6%29)
![\textsf{let}\:(x_2,y_2)=(7,1)](https://tex.z-dn.net/?f=%5Ctextsf%7Blet%7D%5C%3A%28x_2%2Cy_2%29%3D%287%2C1%29)
![d=\textsf{length of segment AB}](https://tex.z-dn.net/?f=d%3D%5Ctextsf%7Blength%20of%20segment%20AB%7D)
Substituting points into the distance formula and solving for d:
![\implies d=\sqrt{(7-2)^2+(1-(-6))^2}](https://tex.z-dn.net/?f=%5Cimplies%20d%3D%5Csqrt%7B%287-2%29%5E2%2B%281-%28-6%29%29%5E2%7D)
![\implies d=\sqrt{5^2+7^2}](https://tex.z-dn.net/?f=%5Cimplies%20d%3D%5Csqrt%7B5%5E2%2B7%5E2%7D)
![\implies d=\sqrt{25+49}](https://tex.z-dn.net/?f=%5Cimplies%20d%3D%5Csqrt%7B25%2B49%7D)
![\implies d=\sqrt{74}](https://tex.z-dn.net/?f=%5Cimplies%20d%3D%5Csqrt%7B74%7D)
3/8 greatest common factor is 2
Answer:
23.92
Step-by-step explanation:
You can round 2.99 to 3 and do 3x8 mentally then subtract 8 cents ¯\_(ツ)_/¯
Answer:
![\frac{6}{20} = \frac{3}{10?}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7B20%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B10%3F%7D%20)
Step-by-step explanation:
total amount of acts = 4+10+6 = 20
amount of dancers = 6
probability of picking a dancer = number of dancers / total number of talents = 6/20 = 3/10