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Explanation:
There are various was to do this. One way is using what some math books may call the "rail road tracks method". If you look below at the attached image (specifically figure 1), you'll probably see why the method is called this. The black straight lines form a "railroad" track of sort
The first column has "14 cents" over "1 ounce" to represent "14 cents per ounce".
The next column over has "16 ounces" over "1 pound". This is used to help convert from ounces to pounds. Recall that 1 pound = 16 ounces.
Finally, the last column has "1 dollar" over "100 cents", which is handy to convert from cents to dollars.
Figure 1 of the attached image is the original setup. Figure 2 is where I've crossed off the units that cancel out. What's left over are "dollars" over "pounds" which is what we want of having "dollars per pound" as the final unit.
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Across the top row, multiply the values out: 14*16*1 = 224
Do the same for the bottom row: 1*1*100 = 100
Then divide the two results: 224/100 = 2.24
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Therefore, 14 cents per ounce converts to 2.24 dollars per pound.
Answer:
−1 + i times the square root of 3
is the answer.
Step-by-step explanation:
Given is a quadratic equation in x
using completion of squares method
Equate to 0
Take square root
Subtract one from both sides
x = [/tex]-1±i\sqrt{3}[/tex]
The last option namely
−1 + i times the square root of 3 only matches with our answre
Hence last option is right.