Step 1: Add (-1)/9 to both sides.<span><span><span><span><span><span>12</span>x</span>+<span><span>29</span>y</span></span>+<span>19</span></span>+<span><span>−1</span>9</span></span>=<span>1+<span><span>−1</span>9</span></span></span><span><span><span><span>12</span>x</span>+<span><span>29</span>y</span></span>=<span>89</span></span>Step 2: Add (-2)/9y to both sides.<span><span><span><span><span>12</span>x</span>+<span><span>29</span>y</span></span>+<span><span><span>−2</span>9</span>y</span></span>=<span><span>89</span>+<span><span><span>−2</span>9</span>y</span></span></span><span><span><span>12</span>x</span>=<span><span><span><span>−2</span>9</span>y</span>+<span>89</span></span></span>Step 3: Divide both sides by 1/2.<span><span><span><span>12</span>x</span><span>12</span></span>=<span><span><span><span><span>−2</span>9</span>y</span>+<span>89</span></span><span>12</span></span></span><span>x=<span><span><span><span>−4</span>9</span>y</span>+<span>169</span></span></span>Answer:<span>x=<span><span><span><span>−4</span>9</span>y</span>+<span>16<span>9</span></span></span></span>
In this question, we're trying to find how many miles Sophie can drive in an hour.
We know that she drove 162 miles in 3 hours.
With the information above, we can find our answer.
We need to see how much she drives in 1 hour, so you would divide 162 by 3.
162 ÷ 3 = 54
This means that she drives 54 mph.
Answer:
54 mph
45 and for the top and 10/45; 3/45 for the bottom
The function is increasing when the slope is greater than zero and decreasing when the slope is less than zero. Slope is (y2-y1)/(x2-x1) or the change in y divided by the change in x.
In this case the function is decreasing when x=[-8,-5) and when x=[4,8)
So in interval notation: x=[-8,-5)U[4,8)
Answer: 69 hope this helps!