We want to write an inequality that tells how much Hannah should walk this week. The inequality will be:
x ≥ (3 + 3/4) mi
<h3>
Finding the inequality:</h3>
We know that she already did walk 2 3/4 miles this week, and she wants to walk at least 6 1/2 miles.
So to reach that minimum, she needs to walk:
(6 1/2)mi - (2 + 3/4) mi = (3 + 3/4) mi
And she can walk that or more, so the inequality is:
x ≥ (3 + 3/4) mi
Where x represents how much she will walk this week.
If you want to learn more about inequalities, you can read:
brainly.com/question/11234618
<span>The graph you plotted is the graph of f ' (x) and NOT f(x) itself. </span>
Draw a number line. On the number line plot x = 3 and x = 4. These values make f ' (x) equal to zero. Pick a value to the left of x = 3, say x = 0. Plug in x = 0 into the derivative function to get
f ' (x) = (x-4)(6-2x)
f ' (0) = (0-4)(6-2*0)
f ' (0) = -24
So the function is decreasing on the interval to the left of x = 3. Now plug in a value between 3 and 4, say x = 3.5
<span>f ' (x) = (x-4)(6-2x)
</span><span>f ' (3.5) = (3.5-4)(6-2*3.5)
</span>f ' (3.5) = 0.5
The function is increasing on the interval 3 < x < 4. The junction where it changes from decreasing to increasing is at x = 3. This is where the min happens.
So the final answer is C) 3
Answer:
I:23/48
ii 25/48
Step-by-step explanation:
30min=0.5hr
total time exercised: 11+0.5=11.5hr
Divided by total hours of a day:
11.5/24=115/240=23/48
ii:(48-23)/48
6 lbs per day means that every day 6 pounds are gained. 6 days per lb means that every 6 days 1 pound is gained (or lost)
