-58.
To get this, first use the equation -b/2a. This will first find the maximum. After you find the maximum, input the answer into the original equation and solve for the minimum.
Hope this helps!
Add 1 to both sides:

In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that

Under this assumption, we square both sides and we have

The solutions to this equation are

But since we can only accept solutions greater than -1, we discard
and accept
.
In fact, we have

and

which is the only solution.
Using the median concept, it is found that the interquartile range of Sara's daily miles is of 21 miles.
<h3>What are the median and the quartiles of a data-set?</h3>
- The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
- The first quartile is the median of the first half of the data-set.
- The third quartile is the median of the second half of the data-set.
- The interquartile range is the difference of the quartiles.
The ordered data-set is given as follows:
65, 72, 86, 88, 91, 93, 97
There are 7 elements, hence the median is the 4th element, of 88. Then:
- The first half is 65, 72, 86.
- The second half is 91, 93, 97.
Since the quartiles are the medians of each half, the have that:
- The first quartile is of 72 miles.
- The third quartile is of 93 miles.
- The interquartile range is of 93 - 72 = 21 miles.
More can be learned about the median of a data-set at brainly.com/question/3876456
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Answer:
V = 6079.04 ft³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = πr²h ( r is the radius and h the height )
Here diameter = 22 , then r = 22 ÷ 2 = 11 and h = 16 , then
V = 3.14 × 11² × 16
= 3.14 × 121 × 16
≈ 6079.04 ft³ ( to the nearest hundredth )