Determine all real numbers x for which x2 - [x] = 1/2.

Question:

Determine all real numbers x for which
x2 - [x] = 1/2.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Question Posted: Jun 21, 2016 08:27 AM

See More Questions

Suppose f is a function that satisfies the equation f(x + y) = f (x) + f(y) + x2y + xy2 for all real numbers x and y, suppose also that lim x O f(x) / x = 1. (a) Find f(0). (b) Find f(0). (c) Find...
Suppose f is a function that satisfies the equation f(x + y) = f(x) + f(y) + x2 y + xy2 for all real numbers x and y, suppose also that (a) Find f(0). (b) Find f'(0) (c) Find f'(x). f(x) 11m
Find all real numbers x that satisfy the following inequalities. (a) x2 > 3x + 4; (b) 1 < x2 < 4; (c) 1/x < x; (d) 1/x < x2:
If an object is dropped from a height h, then the time t required for the object to strike the ground is directly proportional to the square root of h. If it requires 1 second for an object to fall...
The Shotz Brewery produces an ale, which it stores in barrels in its warehouse and supplies to its distributors on demand. The demand for ale is 1800 barrels per day. The brewery can produce 3000...
You mentioned your experience in our industry. How do you imagine the development of this industry in the next one to two years?
What made you want to become a fashion buyer? LO.1
The center of gravity G of a 3.5-lb unbalanced tracking wheel is located at a distance r = 0.9 in. from its geometric center B. The radius of the wheel is R = 3 in. and its centroidal radius of...
1.1 Introduction of Ethical Dilemma Ethics is referred to an individual's moral judgments which are about right and wrong. Decisions which are taken within an organization may be made by individuals...
Which forecasting technique would be best for each of the following scenarios: 1. The demand for Valentines Day greeting cards? 2. The demand for ice cream during a year? 3. The demand for a new...
If U1, U2 are universal sets with A, B U1, and C, D . U2, prove that (A 5) (C D) = (A C) (B D).
Let R Z+ Z+ be the relation given by the following recursive definition. 1) (1, 1) R; and 2) For all (a, b) R, the three ordered pairs (a + 1, b), (a + 1, b + 1), and (a + 1, b + 2) are also in R...
Reference the suppress-replay attack described in Section 15.2 to answer the following. a. Give an example of an attack when a partys clock is ahead of that of the KDC. b. Give an example of an...
1. Identify areas of difference that could potentially cause conflict between line managers in the United States and their employees who are natives of the locales in which they work (e.g. paid leave...
In organizational behavior, understanding the factors that predict organizational performance is crucial for managers and researchers. Numerous theories and studies have attempted to shed light on...
What emotional triggers or psychological biases influence consumer decision-making in our industry, and how can we leverage them in our marketing campaigns?
The most abundant protein on Earth, Rubisco, is a 530,000.0 g/mol enzyme involved in photosynthesis. You dissolve 33.568 g of Rubisco in 250 ml of water at 25.0 C. Assume the mixture behaves as an...
This week you studied about Organizational Development interventions. Proposed Intervention: Detail and explain the type of intervention (individual, team, or organizational) that is warranted for...
It has been claimed that coal, which we can consider to be pure carbon, can as a result of microbial action react with water in situ and be converted to methane by the reaction: Is this reaction...
A bar of a steel alloy that exhibits the stress-strain behavior shown in Figure 6.22 is subjected to a tensile load; the specimen is 375 mm (14.8 in.) long and has a square cross section 5.5 mm (0.22...
Raphael purchased a 3-year-old car for $16,000. He was told that this make and model depreciates exponentially at a rate of 5.45% per year. What was the original price of the car when it was new?
The car that Diana bought is 8 years old. She paid $6,700. This make and model depreciates exponentially at a rate of 14.15% per year. What was the original price of the car when it was new?
What is the exponential depreciation rate, expressed as a percent to the nearest tenth of a percent, for a car that originally sells for $30,000 when new but exponentially depreciates after 5 years...
DETAILS 1. [-/1 Points) SMITHNM13 11.2.025. MY NOTES Convert the credit card rate to the APR. Oregon, 2% per month % Need Help? ReadIt Watch
Corom Stack Standard CALCULATOR PRINTER VERSION BACK NEXT Problem 13-02A a-c (Part Level Submission) Sheffield Corporation had the following stockholders' equity accounts on January 1, 2020: Common...
Suppose that you own 2,100 shares of Nocash Corp. and the company is about to pay a 25% stock dividend. The stock currently sells at $115 per share. a. What will be the number of shares that you hold...

Determine all real numbers x for which x2 - [x] = 1/2.

Question:

Step by Step Answer:

If 0 x 1 then x 0 and x 2 12 So x l2 If 1 x 2 then x 1 ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these Linear Algebra questions