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kakasveta [241]
3 years ago
7

Please answer! • •••••••••••••• ••••••••••••••

Mathematics
1 answer:
Viktor [21]3 years ago
3 0
I'm pretty sure it's c
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two positive numbers x and y, with the maximum value 4, add up to 5. what is the difference between the maximum and minimum valu
Svetach [21]

Answer:

  92

Step-by-step explanation:

Since the sum of the two numbers is 5, we can represent one of them by x and the other by 5-x. Then the desired product is ...

  x²(5-x)³

A graphing calculator can show the extreme values of this on the interval 1 ≤ x ≤ 4. The maximum is 108 at x=2; the minimum is 16 at x=4.

The difference between the maximum and minimum is 108-16 = 92.

_____

If you like, you can take the derivative and set it to zero.

  f(x) = x²(5 -x)³

  f'(x) = 2x(5 -x)³ +x²(-3)(5-x)² = x(5 -x)²(2(5-x) -3x)

  f'(x) = 5x(5-x)²(2-x)

This will be zero for x=0, x=5, and x=2. The points at x=0 and x=5 represent minima in the product. The values x=0 and x=5 are not in the domain of interest. The point at x=2 represents a maximum.

To find the function extremes on an interval, we need to evaluate the function where the derivative is zero, and also at the ends of the interval. So, the function values of interest are ...

  f(1) = 1²·4³ = 64

  f(2) = 2²·3³ = 108 . . . . product maximum

  f(4) = 4²·1³ = 16 . . . . . . product minimum

The difference between the maximum and minimum is 92.

5 0
3 years ago
​Mary Cardenas had a policy with a $500 deductible, which paid 80% of her covered charges less deductible. She had medical expen
kipiarov [429]
Ok so let me help you in here:
<span>After she pays $500 toward her medical expenses for the year, her insurance will pay 80% of the $12,500 cost. So
12,500 x .80 = 10,000. Then 12,500-10,000 = $2,500.
So you pay $2500 and the insurance company pays $10,000.
</span>Hope this is useful
8 0
3 years ago
Read 2 more answers
Lines a and b are parallel.
GenaCL600 [577]

Answer:

C

Step-by-step explanation:

Since a and b are parallel lines, then

∠ 4 and ∠ 5 are alternate interior angles and congruent, thus

∠ 5 is congruent to ∠ 4 → C

3 0
3 years ago
Read 2 more answers
Find the y-intercept of 91-90/19-16.
Elan Coil [88]

Answer:

91 - 90 \div 19 - 16

7 0
3 years ago
Sheryl has 4 more than one-third as many pairs of shorts as Katie has. If Katie has x pairs of shorts, which expression describe
svetoff [14.1K]
I think the answer is c 1/3x+4
5 0
3 years ago
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