Answered: Find four positive numbers whose sum is…

Math

Calculus

Find four positive numbers whose sum is 100, difference is 10 and product have maximum values

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.2: Adding And Subtracting Polynomials

Problem 14P

See similar textbooks

Related questions

Q: There are three consecutive even integers. If twice the first integer added to the second is…

Q: Divide 120 into two parts so that product of one and the square of the other is maximum Find the…

A: Let the two parts be x and y.x+y = 120⇒ y = 120-x --------------(1) Maximize the product of "one…

Q: The sum of two digit number and the number obtained by reversing the order of its digits is 165 . If…

A: Sum of two digit numbers and its reverse is 165 Digits differ by 3 A two digit number is of the form…

Q: Four whole numbers are each rounded to the nearest 10 The sum of the four rounded numbers is 90 What…

A: Given: Four numbers each rounded to the nearest 10. Sum of the four rounded number is 90.

Q: Find two positive numbers that satisfy the given requirements.

A: Let the numbers be x and y,Their product is 147,xy = 147y = 147x .........(1)given that…

Q: Find two numbers whose difference is 64 and whose product is a minimum. smaller number larger number

Q: Among all pairs of numbers with a sum of 239, find the pair whose product is maximum. Write your…

Q: To get into the 250 Club, a bowler must score an average of 250 for a three-game series. If a bowler…

A: Average score is 250 for a three game series.

Q: Among all pairs of numbers with a sum of 59, find the pair whose product is maximum.

A: Given: The sum of two numbers is 59, To find: The numbers such that their product is maximum.

Q: Find all sets of three positive consecutive even integers such that twice the sum of the two is less…

A: First take three consecutive even integer and then satisfied condition

Q: Among all pairs of numbers with a sum of 237, find the pair whose product is maximum. Write your…

A: Let one number be x and then the other is 237-x. Now, we need to maximize x(237-x). Let f(x) =…

Q: Find two non negative integers whose sum is 25 and whose product with the square of the other number…

Q: Find two numbers whose difference is 120 and whose product is a minimum. (smaller number) (larger…

Q: Among all pairs of numbers with a sum of 149, find the pair whose product is maximum. Write your…

A: given that sum of all pair of numbers is 149 and product of pair is maximum find the pair and write…

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $528/person/day if…

A: Given the owner of a luxury yacht charges $528 per person per day if exactly 20 people sign up for…

Q: A 30-foot piece of siding is cut into three pieces so that the second piece is four times as long as…

Q: A number consists of two digits whose sum is 5. If 9 is subtracted from the number the digits are…

Q: There are three consecutive even integers. If twice the first integer added to the third is 268,…

A: Given that There are three consecutive even integers If twice the first integer added to the third…

Q: A witness to a hit-and-run accident told the police that the license number contained the letters…

A: Here we have given that the license number contained the letters RLH followed by 3 digits, the first…

Q: The sum of the first and three times the second is 42.Find two positive real numbers whose product…

A: This question is taken from the application of derivative in which we have to find the two positive…

Q: A witness to a hit-and-run accident told the police that the license number contained the letters…

A: The license number contains the letter RLH followed by 3 digits, the first of which is 5 can be…

Q: Find three consecutive positive integers such that the product of the first and second is 32 more…

A: Explained below

Q: Find two numbers with difference 138 and whose product is a minimum. Enter your answers in…

A: SOLUTION-

Q: Find two numbers whose difference is 40 and whose product is a minimum. (smaller number) (larger…

Q: Find three positive numbers whose sum is 12 and the sum of whose squares is the smallest. Show the…

Q: Find two numbers whose difference is 152 and whose product is a minimum. (smaller number) (larger…

A: we have to find two numbers whose difference is 152 .and whose product is a minimum.

Q: Find two numbers whose difference is 100 and whose product is a minimum. (smaller number) (larger…

Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $376/person/day if…

A: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $376/person/day if…

Q: express 20 as the sum of two positive numbers such that x^3 + y^2 is as small as possible

A: To express 20 as the sum of two positive numbers such that x3+y2 is as small as possible. Let the…

Q: A witness to a hit and run accident told the police that the license number contained the letters…

A: number of digits = (0,1,2,3,4,5,6,7,8,9) total number of digits = 10 Out of 10 digits we know the…

Q: Find two numbers whose sum is 20 and whose product is maximum?

Q: A football team lost four yards on each of three consecutiveplays. Represent the total loss as a…

A: The total number of loss is 3 and the team lost 4 years. And lost means negative yardage.

Q: Among all pairs of numbers with a sum of 229, find the pair whose product is maximum. Write your…

A: Given: All the pairs of the number with a sum 229

Q: The difference between two numbers is 100. Find the two numbers if their product is a minimum.

A: We have to find the product of two numbers whose difference is 100.

Q: Among all pairs of numbers with a sum of 59, find the pair whose product is maximum. Write your…

A: Given data: The sum of pair is x+y=59.

Q: witness to a hit-and-run accident told the police that the license number contained the letters RLH…

Q: ind the product of two numbers whose sum is 11 and difference is 3

A: Here from the given information, first, we have to find two numbers whose sum is 11 and the…

Q: A 24-inch board is to be cut into three pieces so that the second piece is 3 times as long as the…

Q: What is the maximum product of two numbers that add to 28? What numbers yield this product?

A: Given query is to find two numbers that add to 28 and their product will be maximum

Q: Find three numbers which add to 100 and whose product is maximized.

Q: The product of two positive numbers is 185. The smallest possible sum of those number is

A: Since,The prime factorization of 165 is 1Q5 =1X5 X37=5X37 ----1 From 1 it is clear that the two…

Q: Find two numbers whose difference is 128 and whose product is a minimum. X (smaller number) 64 64…

A: Given :difference of two number is 128

Q: . Find two numbers whose product is 64, and whose sum is a minimum. 2. The sum of two numbers is…

Q: 48-inch board is to be cut into three pieces so that the second piece is twice as long as the first…

A: Solution of the problem as follows

Q: An 18 foot board is cut into two pieces. If one piece is x feet, express the length of the other…

A: (18-x) feet

Q: Find two numbers whose difference is 40 and whose product is a minimum. _______ (smaller number)…

Q: A group of 5 students must write a report that is between 4500 and 5000 words in length.They have…

A: Arithmetic.

Q: Find two numbers whose difference is 166 and whose product is a minimum. Step 1 If two numbers have…

Q: Among all pairs of numbers with a sum of 207, find the pair whose product is maximum. Write your…

A: Using the concept from geometry, the area of the rectangle(product of sides) is maximized when it is…

Question

Find four positive numbers whose sum is 100, difference is 10 and product have maximum values.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

On the first part of a 350-kilometer trip, a salesperson travels 2 hours and 15 minutes at an average speed of 100 kilometers per hour. The salesperson needs to arrive at the destination in another hour and 20 minutes. Find the average speed required for the remainder of the trip.
The distance between opposite corners of a rectangular field is four more than the width of the field. The length of the field is twice its width, Find the distance between the opposite corners. Round to the nearest tenth.
Thanh and Nhat leave their office in Sacramento at the same time. Thanh drives north on I-5 at a speed of 72 miles per hour. Nhat drives south on I-5 at a speed of 76 miles per hour. How long will it take them to be 330 miles apart?
The feed of a drill is the depth of material that the drill penetrates in one revolution. The total depth of penetration equals the product of the number of revolutions and the feed. Compute the feed of a drill that cuts to a depth of 3.300 inches while turning 500.0 revolutions.
A ladder has 15 tapered rungs, the lengths of which increase by a common difference. The first rung is 5 inches long, and the last rung is 20 inches long. What is the sum of the lengths of the rungs?