CalculatorUser

Always remember PEMDAS, and strictly follow the order.

To solve this, I started experimenting the profit of books going down from the price of $26 AND going up from the price of 0$

I realized that 0 and 26 had the same profit, the same as 1 and 25. This pattern continues on with the profit always going on a increase.

Because of this trend, we can find the median number between 1 and 25, which is 13.

So the book store should make its books cost $13 to maximize its revenue.

I don't know, I just randomly made up some time.

Hectitar is correct

EDIT: The following is wrong, but why?

1. Divide both sides by b

\(\frac{a}{b}+ab=40\)

\(\frac{a}{b}-ab=-32\)

2. Substitute out a/b so we get:
 

\(40-ab=-32+ab\)

3. Solving for ab we get

\(ab=36\)

So the values of a can be \((-36, -18, -12 -9, -6, -4, -3, -2, -1, 1, 2, 3, 4, 6, 9, 12, 18, 36)\)

Assuming if the problem asks for integer solutions

If it is divisible by 72, we prime factorize 72 to find its distinct factors. They are 2, 3, 4. This means the entire number is divisible by 2, 3, 4

Knowing 541G5072H6 is divisible by them, we consider the divisibility rules.

- Divisible by 2 if the number is even

- Divisible by 3 if the sum of the digits of the number are divisible by 3

- Divisible by 4 if the last two digits of the number are divisible by 4.

This means that the value of H must be 1, 3, 5, 7, or 9 (if you want the entire number to be divisible by 4. Because H is the second to last digit)

So either it is 

541G507216

541G507236

541G507256

541G507276

541G507296

...

Now considering the divisibility rule of 3 (summing up the digits so we can accord to the divisibility rule)

31 + G

33 + G

35 + G

37 + G

39 + G

Now we guess and check the values of G to find what values make the entire number divisible by 3

If H is 7 or 1, the value of G is 2, 5, or 8.

If H is 3 or 9 the value of  G is 0, 3, 6,  9

If H is 5, then the value of G is 4, or 7

Now we must list the distinct pairs of G * H

2, 5, 8, 14, 35, 56, 0, 9, 18, 27, 54, 81, 20

Then find the sum

329 is your answer

Someone please check this it was a long process I might've made a silly error

Sorry, I am not experienced in this topic, my answer may be wrong.

In order for f(x) with a degree of 5 to decrease to a degree of 3, g(x) must have a degree of 5 in order to eliminate the degrees of 5 and 4 in f(x).

Sorry, I am not very experienced in this topic, my answer may be wrong.

Let's pretend that f(x) is  x⁸. Since f(x) has a degree of 8.

Let's also pretend that h(x) is 3x⁸ + 4 * g(x). Where it has a degree of 9.

Now, it should be obvious with the deduction that g(x) must also have a degree of 9 to make the h(x) have a degree of 9.

So the minimum possible degree of g(x) should be 9 ??????????

It is 3x⁸ because in the problem it states: 3 * f(x)

Does this problem let usage of a calculator? Because I used a calculator to discover that the factors of 1441 are 131 and 11.

Are you looking for the values of x and also A through K? There are so many solutions. Perhaps infinite.