Stan worked 2h days this week
Step-by-step explanation:
The given is:
- Stan drives 30 minutes a day commuting to and from work
- He drove h hours this week
We need to find how many days he worked
∵ Stan drives 30 minutes a day
∵ 1 hour = 60 minute
∴ 30 minutes = 
hour
∴ Stan drives 
hour a day
∵ He drove h hours this week
- To find the number of days that he worked divide the total
hours he drove in this week by the hour he drives in a day
∴ The number of days = h ÷
- Change the division sign to multiplication sign and reciprocal the
fraction after the division sign
∵ The reciprocal of = 
= 2
∴ The number of days = h × 2
∴ The number of days = 2h
Stan worked 2h days this week
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Your answer is 4 because 32 divided by 8 is 4
<span><span>Example:<span> round 24,356 the greatest place value.
</span></span><span>Home
</span><span>><span> Rounding Numbersto the Greatest Place Value</span><span> < </span><span>you are here
</span></span><span>Example-2:<span> round 8,636 to the greatest place value.
Look to the right of the number in the thousands
place. It's a 6, so round up.
8,636 is rounded to 9,000 because the highest place
value of that number is in the thousands place.</span></span></span>
The given polynomial function has 1 relative minimum and 1 relative maximum.
<h3>What are the relative minimum and relative maximum?</h3>
- The relative minimum is the point on the graph where the y-coordinate has the minimum value.
- The relative maximum is the point on the graph where the y-coordinate has the maximum value.
- To determine the maximum and the minimum values of a function, the given function is derivated(since the maximum or minimum is obtained at slope = 0)
<h3>Calculation:</h3>
The given function is
f(x) = 2x³ - 2x² + 1
derivating the above function,
f'(x) = 6x² - 4x
At slope = 0, f'(x) = 0 (for maximum and minimum values)
⇒ 6x² - 4x = 0
⇒ 2x(3x - 2) = 0
2x = 0 or 3x - 2 = 0
∴ x = 0 or x = 2/3
Then the y-coordinates are calculated by substituting these x values in the given function,
when x = 0;
f(0) = 2(0)³ - 2(0)² + 1 = 1
So, the point is (0, 1)
when x = 2/3;
f(2/3) = 2(2/3)³ - 2(2/3)² + 1 = 19/27
So, the point is (2/3, 19/27)
Since y = 1 is the largest value, the point (0, 1) is the relative maximum for the given function.
So, y = 19/27 is the smallest value, the point (2/3, 19/27) is the relative minimum for the given function.
Thus, option A is correct.
Learn more about the relative minimum and maximum here:
brainly.com/question/9839310
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