1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
TiliK225 [7]
3 years ago
15

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

e of the product x^2y^3.
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0

Answer:

1023

Step-by-step explanation:

Positive numbers are numbers that are greater than 0.

As maximum value of numbers x and y is 4,

x\leq 4,y\leq 4      ....(i)

So,

x^2y^3\leq 4^2 4^3=1024

So, maximum value of the product x^2y^3 is 1024.

Also, its given that sum of numbers x and y is 5, so x+y=5   ...(ii)

On using equations (i) and (ii), we get

1\leq x,1\leq y

So,

1\leq x^2y^3

Therefore, minimum value of the product is 1.

Difference between the maximum and minimum value of the product =  maximum value of the product x^2y^3 - minimum value of the product

=1024 - 1 = 1023

You might be interested in
M: -1/2 Point: (-1, 3) Solve for y=mx+b<br> Help
ohaa [14]

Answer:

y= (-1/2)x+(5/2)

Step-by-step explanation:

equation point slope

(y-y1)=m(x-x1)

y-3 = -1/2(x+1) add -3 to both sides and distribute

y=( -x/2) +(-1/2)+3 rewrite 3 as 6/2

y=(-1/2)x +(-1+6/2) solve

y= (-1/2)x+(5/2)

3 0
3 years ago
during the 2011 season, a quarterback passed for 302 yards per game. he played in all 16 regular season games that year. how man
MariettaO [177]
302 times 16 because he passed 302 yards for every game 4832
7 0
3 years ago
Read 2 more answers
15 yd<br> 19 yd<br> Area = <br> Parallelogram
jenyasd209 [6]

15*19=285

base times height is the formula

5 0
3 years ago
(F x G)(x)<br> F(G(x))<br> G[F(x)]<br> F[G(x)]<br> G(F(x))
pentagon [3]

The results of the composite functions are:

  • (f \times g)(x) = 6x^2-9x
  • f(g(x)) = 6x - 3
  • g(f(x)) = 6x - 9

<h3>What are composite functions?</h3>

Composite functions are functions that are obtained by combining two or more functions together

Assume that:

  • f(x) = 2x - 3
  • g(x) = 3x

Then the computation of the composite functions are as follows:

<h3>Function (f * g)(x)</h3>

(f \times g)(x) = f(x) \times g(x)

(f \times g)(x) = (2x-3) \times (3x)

(f \times g)(x) = 6x^2-9x

<h3>Function f(g(x))</h3>

We have: f(x) = 2x - 3

This gives

f(g(x)) = 2g(x) - 3

So, we have:

f(g(x)) = 2(3x) - 3

f(g(x)) = 6x - 3

<h3>Function g(f(x))</h3>

We have: g(x) = 3x

This gives

g(f(x)) = 3f(x)

So, we have:

g(f(x)) = 3(2x - 3)

g(f(x)) = 6x - 9

Read more about composite functions at:

brainly.com/question/10687170

4 0
2 years ago
An adult sleeps about 480 per day. In infant sleeps about 820 minutes per day. About how many more minutes does an infant sleep
AysviL [449]
(820*7)-(480*7)=? This is how to solve the equation

6 0
3 years ago
Other questions:
  • Someone help please? thanks.
    13·1 answer
  • For questions 3-4 which kind of function best models the data in the table? use differences or ratios.
    9·1 answer
  • 11. The preferred overall competition area in judo, including the mats, is a square with an area of 256 m2.
    6·1 answer
  • A goose started on the ground and
    12·1 answer
  • Select the values that make the inequality true
    11·2 answers
  • I WILL GIVE BRAINLY! PLEASE HELP! PLEASEEEEE!!
    9·1 answer
  • Rohan buys 1 dozen pens for 180 and Saurav buys 7 pens for 390. Who bought costlier pens ​
    11·2 answers
  • How many things can happen if you spin the spinner three times and flip the coin three times?
    10·1 answer
  • Question 9 of 10<br> Which inequality is shown in this graph?
    14·1 answer
  • What do both of these functions have in common? f(x)=3/2 (x-7) -2 g(x) = 1.5ln(x-2)+7
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!