Peter

For all positive integers w and y, where w > y, let the operation ☺ be defined by w ☺ y = (2^(w + y))/(2^(w - y)).

For how many positive integers w is w ☺ 1 equal to 4?

A. More than four
B. None
C. One
D. Two
E. Four

*I found only 3/5 as the answer but it was less than one so I picked B. It was wrong and the answer key said it was A. Why is that?

  1. 👍 0
  2. 👎 0
  3. 👁 195

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra I

    Tell whether the set is closed under the operation. If it is not closed give an example that shows that the set is not closed under the operation. 10. Positive irrational numbers; division 11. Negative rational numbers;

    asked by Anonymous on October 26, 2017
  2. Math (Algebraic Manipulation)

    An operation produces A−1/A from a fraction A= m/n, where m ≠ n and m ≠ 0. If the initial value of A is 24/47 and the operation is repeated 2012 times, the final output is a/b, where a and b are coprime positive integers.

    asked by Tom on May 12, 2013
  3. Math (Algebraic Manipulation) Help me please

    An operation produces A−1/A from a fraction A= m/n, where m ≠ n and m ≠ 0. If the initial value of A is 24/47 and the operation is repeated 2012 times, the final output is a/b, where a and b are coprime positive integers.

    asked by Tom on May 13, 2013
  4. Maths

    A binary operation x defined on the set of integers is such that m x n =m+n+mn for all the integers m and n. Find the inverse of -5 under the operation, if the Identity element is o?

    asked by Black mamba on August 23, 2019
  5. math

    I do not undeerstand this question for homework. Determine if the set is closed for the given operation. 1. yes or no- The set of positive fractions for division. 2. yes or no=The set of positive integers for subtraction. Can

    asked by tayloir on May 6, 2007
  1. math

    I do not undeerstand this question for homework. Determine if the set is closed for the given operation. 1. yes or no- The set of positive fractions for division. 2. yes or no=The set of positive integers for subtraction. Can

    asked by Kimberly on May 6, 2007
  2. MATH

    Let’s agree to say that a positive integer is prime-like if it is not divisible by 2, 3, or 5. How many prime-like positive integers are there less than 100? less than 1000? A positive integer is very prime-like if it is not

    asked by David on April 2, 2010
  3. math

    Let’s agree to say that a positive integer is prime-like if it is not divisible by 2, 3, or 5. How many prime-like positive integers are there less than 100? less than 1000? A positive integer is very prime-like if it is not

    asked by chicken on April 1, 2010
  4. math

    Find the sum of all positive integers m such that 2^m can be expressed as sums of four factorials (of positive integers). Details and assumptions The number n!, read as n factorial, is equal to the product of all positive integers

    asked by anonymous on June 5, 2013
  5. math

    Find the sum of the first one thousand positive integers. Explain how you arrived at your result. Now explain how to find the sum of the first n positive integers, where n is any positive integer, without adding a long list of

    asked by Anonymous on May 16, 2016

More Similar Questions