Yes it proportional because they all function of y=3x
0x3=0
2x3=6
4x3=12
6x3=18
Step-by-step explanation:
To find the y-coordinate points we need to evaluate the function for all the 
values in the table. In other words, we need to replace with each value in our given function and simplify.
- For x = 0
Since 
and 
, our first point is (0, -1)
- For x = 1
Our second point is (1, -4)
- For x = 2
Our third point is (2, -5)
- For x = 3
Our fourth point is (3, -4)
- For x = 4
Our fifth point is (4, -1)
Now we just need to plot each point in our coordinate plane and join them with the parabola as you can see in the attached picture.
There are 4 queens in a deck of cards.
You have 4 chances out of 52 total cards to get a queen.
The probability is 4 queens / 52 cards = 4/52, which can be reduced to 1/13
-5(r - 6) + 3(-8 + 8r) = -32
STEP 1: Simplify both sides of the equation.
<span><span><span><span><span><span>(<span>−5</span>)</span><span>(r)</span></span>+<span><span>(<span>−5</span>)</span><span>(<span>−6</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−8</span>)</span></span></span>+<span><span>(3)</span><span>(<span>8r</span>)</span></span></span>=<span>−32 </span></span>(Distribute)
<span><span><span><span><span><span>−<span>5r</span></span>+30</span>+</span>−24</span>+<span>24r</span></span>=<span>−32</span></span><span><span><span>(<span><span>−<span>5r</span></span>+<span>24r</span></span>)</span>+<span>(<span>30+<span>−24</span></span>)</span></span>=<span>−32 </span></span>(Combine Like Terms)
<span><span><span>19r</span>+6</span>=<span>−32</span></span><span><span><span>19r</span>+6</span>=<span>−32
</span></span>
STEP 2: Subtract 6 from both sides.
<span><span><span><span>19r</span>+6</span>−6</span>=<span><span>−32</span>−6</span></span><span><span>19r</span>=<span>−<span>38
STEP 3: Divide both sides by 19.
19r/19 = -38/19
r = -2
FINAL ANSWER: r = -2</span></span></span>
