Answer:
(a) There will be no solution if x = -4. This is because it would cause the denominator to be 0, which can't happen.
(b) g(x) = + 4. The graph would be the same except it would be 4 units higher. The function is the same as the original with an added 4 to go to the y value.
(c) + 4 = 8
= 4
3x - 1 = 4x + 16
-x - 1 = 16
-x = 17
x = -17
Let's simplify step-by-step. <span><span><span>−<span>3<span>(<span><span><span>4x</span>−<span>5y</span></span>+6</span>)</span></span></span>+<span>8x</span></span>−9</span>
<span />Distribute:<span>=<span><span><span><span><span><span><span> (<span>−3</span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>−3</span>)</span><span>(<span>−<span>5y</span></span>)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(6)</span></span></span>+<span>8x</span></span>+</span>−9</span></span><span>=<span><span><span><span><span><span><span> −<span>12x</span></span>+<span>15y</span></span>+</span>−18</span>+<span>8x</span></span>+</span>−9</span></span>
<span><span /></span>Combine Like Terms:<span>= <span><span><span><span><span>−<span>12x</span></span>+<span>15y</span></span>+<span>−18</span></span>+<span>8x</span></span>+<span>−9</span></span></span><span>=<span><span><span> (<span><span>−<span>12x</span></span>+<span>8x</span></span>)</span>+<span>(<span>15y</span>)</span></span>+<span>(<span><span>−18</span>+<span>−9</span></span>)</span></span></span><span>=<span><span><span> −<span>4x</span></span>+<span>15y</span></span>+<span>−27</span></span></span>
<span><span><span /></span></span>Answer <span>=<span><span><span> −<span>4x</span></span>+<span>15y</span></span>−<span>27</span></span></span>
Answer:
No, because the slopes of the lines are not opposite reciprocals.
Step-by-step explanation:
<u>To find out if these lines are perpendicular, find the slopes:</u>
Slope of Green Line: → →
Slope of Yellow Line: → →
<u>For the lines to be perpendicular, the slopes must be opposite reciprocals, which in this case, they are not.</u>
<u />
Answer: y= 3 x−8
Step-by-step explanation: