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.
Answer:
0.24
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome. The probability that an even will happen or not happen is 1.
Given that the spun has 10 sections 3 red, 3 blue and 4 green, the probability of not getting green
= (3 + 3)/(3 + 3 + 4)
= 6/10
The probability of getting green
= 4/10
Hence the probability of getting not green then green
= 6/10 * 4/10
= 24/100
= 0.24
Answer:
it would be nice if I could see it
Answer:
75
Step-by-step explanation:
75*3=225
300-225=75 remaining
Answer:
24 cups
Step-by-step explanation:
Peaches to Cherries is given as 2 to 3
We can think of this as "parts". So total parts in the salad would be:
Total Part = 2 + 3 = 5 parts
So, now we need cups of peaches to cups of TOTAL
The ratio would be:
2 : 5
The total would be 60 cups
We let total cup of peaches be x
So we can write the ratio:
Now, we cross multiply and solve for x:
Fred will need 24 cups of peaches
