Answer:
Step-by-step explanation:
In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)
Part (a) asked for the equation of the line in y = mx+b form
That would be y = -2x+9
This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.
The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9
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Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below
The correct answers are:
13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)
13 + 3 ÷ 3 = 13 + 1
13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0
Let's look into them one by one:
13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)
As anything multiplied by one will not have changes in value, this is correct.
13 + 3 ÷ 3 = 13+(3÷3) = 13 + 1
As 3÷3 is 1,this is also correct.
13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0
As anything plus zero will not have a chnage in value, this is correct.
The incorrect option:
13 + 3 ÷ 3 ≠ 16 ÷ 3
Unless there are brackets indicating addition has to be done first, devision comes before addition hence this is not correct.
Hope it helps!
Let's simplify step-by-step.
<span><span>9−x</span>−<span>(<span>7+x</span>)
</span></span>Distribute the Negative Sign:
<span>=<span><span>9−x</span>+<span><span>−1</span><span>(<span>7+x</span>)
</span></span></span></span><span>=<span><span><span><span>9+</span>−x</span>+<span><span>(<span>−1</span>)</span><span>(7)</span></span></span>+<span><span>−1</span>x
</span></span></span><span>=<span><span><span><span><span><span>9+</span>−x</span>+</span>−7</span>+</span>−x
</span></span>Combine Like Terms:
<span>=<span><span><span>9+<span>−x</span></span>+<span>−7</span></span>+<span>−x
</span></span></span><span>=<span><span>(<span><span>−x</span>+<span>−x</span></span>)</span>+<span>(<span>9+<span>−7</span></span>)
</span></span></span><span>=<span><span>−<span>2x</span></span>+2
</span></span>Answer:
<span>=<span><span>−<span>2x</span></span>+<span>2</span></span></span>
