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3 years ago

Maximize Q=3xy^2, where x and y are positive numbers such that x+y^2=2

1 answer:

6 0

Sub x = 2-y^2 to Q, we get:
Q = 3(2-y^2)*y^2
let y^2 = k
Q = 3(2-k)k = 3(2k-k^2)
2k-k^2 has a max when k = 1
Then y^2 = 1 -> y = 1 or -1

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Solve this equation. 6>x+7

sveticcg [70]

Answer:

Step-by-step explanation:

6>x+7

or -x>7-6

or -x>1

x<-1

3 0

3 years ago

When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a

irga5000 [103]

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

6 0

2 years ago

Luna collected two random samples of 100 citizens each, with the results listed below. She made the inference that the least pop

kenny6666 [7]

Answer:

no its not

Step-by-step explanation:

from 2 random samples you cant figure it out

5 0

2 years ago

If f x = 7x<br><br> 2 − 4x − 10, then f −3 =?

Schach [20]

Answer:

f(x)=xy3 -4xy2 -7x+10

Step-by-step explanation:

the xy3 and xy2 means x to the 3rd power and x to the second power

7 0

3 years ago

3. The following sequence shows the number of pushups Kendall did each week, starting with her first week of exercising: 6, 18,

Alona [7]

{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}

SEQUENCE: 6, 18, 54, 162

18/6 = 3

54/18 = 3

162/54 = 3

then, r (common ratio) = 3

_________________________________________

RECURSIVE RULE: r = 3

an = a(n - 1) × r [formula]

ANSWER: an = a(n - 1) × 3

_________________________________________

ITERIATIVE RULE: r = 3, a1 = 6

an = a1 × r^(n - 1) [formula] [ ^(n-1) is an exponent]

ANSWER: an = 6 × 3^(n - 1)

4 0

2 years ago