All categories

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

You might be interested in

Given the triangle below what is the length of the third side rounded to the nearest whole number?

Alona [7]

Not completely sure but i think it is 16

5 0

4 years ago

Read 2 more answers

Help me please! I NEED TO HAND IT IN NOW

Finger [1]

Answer:

4n + 4

Step-by-step explanation:

Azhar - n years old now.

Last year he was (n-1).

His mother was 4(n -1) last year.

Now his mother 4(n-1) + 1.

7 years later she will be 4(n - 1) + 1 + 7 = 4n - 4 + 8 = 4n + 4

3 0

3 years ago

Help please I’m almost done also I’ll mark brainliest

tatuchka [14]

Answer:

this is a ratio of 4 inches:5 feet.

if one side becomes 30 feet, means that other one is also multiplied by 6.

4 * 6 = 24 or A

pls mark as brainliest

Step-by-step explanation:

4 0

3 years ago

What is the equation of a line that has a slope of 2 and passes through the point (4,6) ?

natka813 [3]

Answer:

$y-6=2\,(x-4)$

or in slope y-intercept form :

$y=2x-2$

Step-by-step explanation:

The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point $(x_0,y_0)$ it goes through:

$y-y_0=m\,(x-x_0)$

In our case the equation becomes:

$y-y_0=m\,(x-x_0)\\y-6=2\,(x-4)\\$

This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:

$y-6=2\,(x-4)\\y=2x-8+6\\y=2x-2$

7 0

3 years ago

At a rental car company, a customers daily rental charge D (in dollars) for m miles driven is determined by the function D = 35

lianna [129]

Answer:

See below

Step-by-step explanation:

<u>Given function:</u>

D = 35 + 0.4m

m represents the domain and D represents the range of the function, therefore m = x, D = y

<u>Filling in the table:</u>

for x = 10, y = 35 + 0.4*10 = 35 + 4 = 39 and so on for the rest of the values

x = 10, 30, 50, 75, 100
y = 39, 47, 55, 65, 75

3 0

3 years ago