Answer:
yes
no
yes
no
Step-by-step explanation:
i think its right
Answer:
Number of plain cookie boxes sold = 785 boxes
Step-by-step explanation:
Given: Cost of a chocolate chip cookie box = $1.25
Cost of a plain cookie box = $0.75
Total number of boxes sold = 1585
Total cost of the sold boxes = $1588.75
Let, number of plain cookie boxes sold = x
Number of chocolate chip cookie boxes sold = 1585 - x
So,
Total cost = total cost of the sold plain cookie boxes + total cost of the sold chocolate chip cookie boxes
$1588.75 = x ($0.75) + (1585 - x) ($1.25)
1588.75 = 0.75 x + 1981.25 - 1.25 x
0.5 x = 392.5
Therefore,
<u>Number of plain cookie boxes sold: x = 392.5 ÷ 0.5 = 785 boxes</u>
9514 1404 393
Answer:
maximum difference is 38 at x = -3
Step-by-step explanation:
This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.
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Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.
h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2
Then the derivative is ...
h'(x) = 3x² +4x -15 = (x +3)(3x -5)
This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.
The maximum difference between f(x) and g(x) is 38 at x = -3.
3/4 is bigger than 2/5. Hope that helps
Yes it is a geometric sequence and the common ratio is 2/3