Answer:
Step-by-step explanation:
<u>Equation Solving</u>
We are given the equation:
![\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B3y%2B16%7D%7B2y%2B9%7D%7D)
i)
To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.
We have to make it in steps like follows.
Cube both sides:
![\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E3%3D%5Cleft%28%5Csqrt%5B3%5D%7B%5Cfrac%7B3y%2B16%7D%7B2y%2B9%7D%7D%5Cright%29%5E3)
Simplify the radical with the cube:
Multiply by 2y+9
Simplify:
Operate the parentheses:
Subtract 3y and 
:
Factor y out of the left side:
Divide by 
:
ii) To find y when x=2, substitute:
Answer:
Let number of cans collected by Shane =S
Number of cans collected by Abha=S+178
As, it is given that ,Abha collected 178 more cans than Shane did.
Also, the statement about inequality is
Both Shane and Abha have to collect no less than 2000 cans for recycling.
Writing the statement in terms of inequality
S +S+178 ≥ 2000
2 S ≥ 2000 - 178
2 S ≥ 1822
Dividing both sides by 2, we get
S≥ 911
So, Shane must have collected At least 911 cans.
Answer:
(0,6)
Step-by-step explanation:
because a point that lies on y axis has the coordinates of its x = 0.
the therm without the x in the equation of the parabola indicate where it intercepts the y axis
7 is digit for hundred thousands and 6 is for ten thousands so the answer is 800,000
