Answer:
D. 10 square root 3 is your answer
Step-by-step explanation:
Here is what you do.
<em>square root 30 = 3 x 2 x 5 </em>
<em>square root 10 = 2 x 5</em>
Add them together.
<em>3 x 2 x 2 x 5 x 5 </em>
<em>3 x 4 x 25.</em>
4 and 25 can come out of the square root.
<em>2 x 5 = 10</em>
10 square root 3 is your answer.
If you want me to solve for "Y" then, the answer will be,
![y < 5x - 4](https://tex.z-dn.net/?f=y%20%20%3C%205x%20-%204)
ir if you want me to solve for "X" instead then the answer will be,
![x > \frac{4 + y}{5}](https://tex.z-dn.net/?f=x%20%3E%20%20%5Cfrac%7B4%20%2B%20y%7D%7B5%7D%20)
ANSWER
The product is
![\frac{2}{55}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B55%7D)
EXPLANATION
To find the product of
![- \frac{3}{11}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B3%7D%7B11%7D%20)
and
![\frac{ - 2}{15}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%202%7D%7B15%7D%20)
means we should multiply the two fractions.
We multiply to obtain,
![- \frac{3}{11} \times - \frac{2}{15}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B3%7D%7B11%7D%20%20%5Ctimes%20%20-%20%20%5Cfrac%7B2%7D%7B15%7D%20)
![= - \frac{3}{11} \times - \frac{2}{3 \times 5}](https://tex.z-dn.net/?f=%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B11%7D%20%20%5Ctimes%20%20-%20%20%5Cfrac%7B2%7D%7B3%20%5Ctimes%205%7D%20)
Cancel the common factors:
![= - \frac{1}{11} \times - \frac{2}{5}](https://tex.z-dn.net/?f=%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B11%7D%20%20%5Ctimes%20%20-%20%20%5Cfrac%7B2%7D%7B5%7D%20)
Now, multiply the numerators separately and the denominators too separately.
![= \frac{ - 1 \times - 2}{11 \times 5}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B%20-%201%20%5Ctimes%20%20-%202%7D%7B11%20%5Ctimes%205%7D%20)
This simplifies to,
![= \frac{2}{55}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B2%7D%7B55%7D)
Answer:
y = - 2
Step-by-step explanation:
![y = \frac{2}{3} x \\ \\ plug \: x = - 3 \\ \\ y = \frac{2}{ \cancel3} \times ( \cancel{ - 3}) \: \: \red{ \bold{- 1}}\\ \\ y = 2( - 1) \\ \\ y = - 2](https://tex.z-dn.net/?f=%20y%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20x%20%5C%5C%20%20%5C%5C%20plug%20%5C%3A%20x%20%3D%20%20-%203%20%5C%5C%20%20%5C%5C%20y%20%3D%20%20%5Cfrac%7B2%7D%7B%20%5Ccancel3%7D%20%20%5Ctimes%20%28%20%20%20%20%5Ccancel%7B%20-%203%7D%29%20%20%5C%3A%20%20%5C%3A%20%20%20%5Cred%7B%20%5Cbold%7B-%201%7D%7D%5C%5C%20%20%5C%5C%20y%20%3D%202%28%20-%201%29%20%5C%5C%20%20%5C%5C%20y%20%3D%20%20-%202)