You are building a rectangular garden against the back of your house, using 80 feet of fencing. The area of the garden needs to
be greater than 400 square feet but less than 600 square feet. Which interval(s) represent possible lengths, in feet, for the horizontal edges of the garden? (0, 10) Union (30, 40) (20 minus 10 StartRoot 2 EndRoot, 20 + 10 StartRoot 2 EndRoot) (0, 20 minus 10 StartRoot 2 EndRoot) union (20 + 10 StartRoot 2 EndRoot, 40) (20 minus 10 StartRoot 2 EndRoot, 10) Union (30, 20 + 10 StartRoot 2 EndRoot)
2 answers:
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Rearrange the equation:
Isolate the log on its own
To get rid of the log you must do 10^2.42
Then multiply both sides by (1.5 - x)
Solve normally
Hope that helps. Please send me a message if there's patchy bits. Also I'm sure you'll figure this out, but just in case, anywhere I've put down a 2dp shows that I've rounded the number to 2 decimal places. It becomes a pain to deal with otherwise.
Isolate the log on its own
To get rid of the log you must do 10^2.42
Then multiply both sides by (1.5 - x)
Solve normally
Hope that helps. Please send me a message if there's patchy bits. Also I'm sure you'll figure this out, but just in case, anywhere I've put down a 2dp shows that I've rounded the number to 2 decimal places. It becomes a pain to deal with otherwise.