Let's solve your equation step-by-step.<span><span><span>x−<span>(<span><span>9x</span>−10</span>)</span></span>+11</span>=<span><span><span>12x</span>+20</span>−2</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x−<span>(<span><span>9x</span>−10</span>)</span></span>+11</span>=<span><span><span>12x</span>+20</span>−2</span></span><span>Simplify: (Hide steps)</span><span><span><span><span><span>x+</span>−<span>9x</span></span>+10</span>+11</span>=<span><span><span><span>12x</span>+20</span>+</span>−2</span></span><span><span><span>(<span>x+<span>−<span>9x</span></span></span>)</span>+<span>(<span>10+11</span>)</span></span>=<span><span>(<span>12x</span>)</span>+<span>(<span>20+<span>−2</span></span>)</span></span></span>(Combine Like Terms)<span><span><span>−<span>8x</span></span>+21</span>=<span><span>12x</span>+18</span></span><span><span><span>−<span>8x</span></span>+21</span>=<span><span>12x</span>+18</span></span>Step 2: Subtract 12x from both sides.<span><span><span><span>−<span>8x</span></span>+21</span>−<span>12x</span></span>=<span><span><span>12x</span>+18</span>−<span>12x</span></span></span><span><span><span>−<span>20x</span></span>+21</span>=18</span>Step 3: Subtract 21 from both sides.<span><span><span><span>−<span>20x</span></span>+21</span>−21</span>=<span>18−21</span></span><span><span>−<span>20x</span></span>=<span>−3</span></span>Step 4: Divide both sides by -20.<span><span><span>−<span>20x</span></span><span>−20</span></span>=<span><span>−3</span><span>−20</span></span></span><span>x=<span>320</span></span>Answer:<span>x=<span>3<span>20</span></span></span>
The average rate of changes for each of the functions between 0 and 1 is 8, 3, 1, and 2. The average rate of change of y = 3x is 2. Therefore the same average rate of change is 2, which is the function y = 1/3-x
