Answer:
B- 583
Step-by-step explanation:
6% of 550 is 33. So, you just add 33 to 550 which equals 583.
Your welcome!
Answer:
a = ln(60)
Step-by-step explanation:
Answer: (4,-5)
Step-by-step explanation:
8y = -40
(divide by 8)
y = -5
(plug it in to one of the equations)
3x + 6*-5 = -18
3x + -30 = -18
3x = 12
x = 4
Add 3/4 foot to 2/12 foot. The LCD here is 12.
Thus, add 9/12 foot to 2/12 foot. Answer: 11/12 foot.
Are you sure you copied down that "2/12" correctly? Note that 2/12 = 1/6
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.