One less than the product of a number and<br> 3 is 5 more than the number itself

Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 28, the sum of the square

fgiga [73]

Answer:

Step-by-step explanation:

1) f(x) = x+y , xy = 49 --> f(x) = x+49/x

f '(x) = 1-49/x2 , x = ±√49 , choose x = +7

y = 49/x = 7

smaller = 7

larger = 7

2) Vertical Distance is difference between the two functions

V(x) = x+56 - x2, V '(x) = 1 -2x --> x = 1/2 --> V(1/2) = 56.25 <---Max Vertical distance

Boundary at -7 and 8 are less

3) I googled the equation, it is really y(n) = kn/(49+n2)

y '(n) = (k(49+n2) - 2kn2)/(49+n2) , Setting to zero, k(49+n2) -2kn2 = 0 , n = 7

4) Let x and y be the sides of the rectangle. A = xy = 37.5 Million or y = 37.5/x

The length of the fences is f(x) = 2x + 3y = 2x+112.5/x

f '(x) = 2-112.5/x2 --> x = √56.5 = 7.5 and y = 37.5/7.5 = 5 then scale by √Million

smaller = 5000 ft and larger = 7500 ft

this took me ages to work out so hopefully it helped

4 0

3 years ago

Read 2 more answers

In a school of 2000 students, 1150 do not like puzzles. 2/5 of the students travel to school by bus. 595 of the people that do l

Vadim26 [7]

The number of students who do not like puzzles and ride the bus to school is 205

To find the answer it is necessary to do the following procedure:

To find out how many people the 2/5 traveling by bus are equivalent to, divide the total number (2000) of people by 5, and then multiply that value by 2.

2000 ÷ 5 = 400
400 × 2 = 800

From the above, it can be established that 800 people travel by bus to school. Now, to know how many people travel by bus and do not like puzzles, the following operation must be done.

Subtract the number of students who do like puzzles and ride the bus (595) from the total number of students who ride the bus (800)

800 - 595 = 205

So the answer is 205 students ride the bus and they don't like puzzles.

Learn more at: brainly.com/question/24558946

6 0

2 years ago

A local restaurant is offering a special deal in which customers can receive one appetizer, one entree, and one dessert for a fi

Dmitriy789 [7]

There are105 different choices.
For 1 appetizer, there are 15 different combinations of entrees and desserts. 1 dessert has 5 entrees you can mix, and since there are 3 desserts, there are 15 choices. It goes the same for every appetizer until there is 7x15. 7Ax15choices equals 105 options.
The customer has 105 meal choices.

5 0

3 years ago

I’ll mark brainliest!! Please help:)

Neporo4naja [7]

I can’t see the pic more can u edit it ms make it more bigger lol

6 0

3 years ago

lamont cotton is 4% comission on the first 10,000 of monthly sales mens 10% on all sales over 10,000. last month his 38,00. what

Pani-rosa [81]

Given:

Lamont cotton is 4% commission on the first 10,000 of monthly sales and 10% on all sales over 10,000.

Consider his last month sales is 38,000.