Answer:
The graph is in the form 1/x^(2)
Step-by-step explanation:
See the pinned image.
Answer:
157.5 minutes
Step-by-step explanation:
We can use ratios to solve
2 lbs 3.5 lbs
--------------- = ----------------
90 minutes x minutes
Using cross products
2x = 3.5 * 90
2x =315
Divide each side by 2
2x/2 = 315/2
x =157.5 minutes
or 2 hours and 37.5 minutes
Answer:
The two numbers are <em>24 </em>and <em>16.</em>
Step-by-step explanation:
My way of figuring this out was a little unorthodox, but it works nonetheless. So the ratio of 3:2 has a proportionality of 1.5.
Half of 40 is 20
25 an 15 has a proportionality of `1.6 (25/15 = 1.666666)
After that I tried 24 and 16. Not only do they add up to 40, but they had a proportionality of 1.5 as well, the same as the 3:2 ratio. This means that's the correct numbers!
I know I explained it a little strangely, but I hope I could help!
#1.
Question: <span><span><span><span>2x^2 </span>− 3x</span> − 35</span> = 0</span>
<span><span><span>Step 1: Factor left side of equation): (<span>2x + 7</span>) </span><span>(x − 5) </span></span>= 0</span>
Step 2: Set factors equal to 0.): <span><span><span>2x + 7 </span>=<span><span> 0 or x </span>− 5</span></span> = 0</span>
ANSWER: <span><span>x =<span><span><span> −7/2</span> or </span>x </span></span>= 5</span>
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#2.
Question: 56z^2 + 2 = 22z
<span>Step 1: Subtract 22z from both sides.):
</span><span><span><span><span>56<span>z^2 </span></span>+ 2</span> −<span>22z</span></span> = <span><span>22z </span>−<span> 22z
</span></span></span><span><span><span><span>56<span>z^2 </span></span>−<span> 22z </span></span>+ 2 </span>= 0</span>
<span>Step 2: Factor left side of equation.):
</span>
<span><span><span>2<span>(<span><span>7z </span>− 1</span>)</span></span><span>(<span><span>4z </span>− 1</span>)</span></span> = 0
</span><span>Step 3: Set factors equal to 0.):
</span>
<span><span><span><span>7z </span>− 1 </span>=<span><span><span> 0 or </span><span>4z</span></span> − 1</span></span> = 0
ANSWER: </span><span><span>z =<span><span><span> 1/7</span> or </span>z </span></span>=<span> 1/4</span></span>