Rectangle A has a height of (x 1) meters and an area of 4 m Rectangle B has a height of (2x 1) meters and an area of 6 m The sum of the widths of the two rectangles is less than 8 meters Find the set of values for x

Question: Rectangle A has a height of (x + 1) meters and an area of 4 m. Rectangle B has a height of (2x 1)

Rectangle A has a height of (x + 1) meters and an area of 4 m². Rectangle B has a height of (2x − 1) meters
and an area of 6 m².
The sum of the widths of the two rectangles
is less than 8 meters.
Find the set of values for x.

Step by Step Solution

★★★★★

3.30 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let the width of rectangle A be a and the width of rectangle B be ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Complete Pure Mathematics Questions!

A rectangle field has a perimeter of 220 meters and an area of 2856 square meters. What are the dimensions?

KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

Exercise 1. Read and analyze the problem below and give what is asked. 1. What is the perimeter of the square whose side measures (x + 1) meters? 2. A vendor earns 10t pesos per week. What is his...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

MATH260Week 6 Lab Name: Antiderivatives According to the first part of the fundamental theorem of calculus, the antiderivative reverses the derivative. If f(x) is a derivative, F(x) is the...

m = 10 and d=29 please replace each m with 10 and d with 29 and follow the instructions attached below and use geogebra 3. Suppose that the velocity of a moving object is given by the function v(t) =...

di 14. Radius A spherical balloon is inflated with gas at the rate dx (b) - when x = 25 ay = 2 of 800 cubic centimeters per minute. dt (a) Find the rates of change of the radius when r = 30...

ASSIGNMENT 1 Build an algorithm that reads an integral number x from the console (input from the user), computes the area of the square ABED (with side x), computes the area of the rectangle ACFD...

Page 23) The acceleration of an object (in m/sec ) after t seconds is given by A(t) = t -4t + 2. The initial velocity is 10 meters per second. The position after 2 seconds is 300 meters. A) Find the...

If, in a sample of n = 16 selected from a normal population, X-bar = 56 and S = 12, what is the value of tSTAT if you are testing the null hypothesis H0 : = 50?

The deep body temperature of a healthy person is 37C. What is it in kelvins?

2 Explain what is implied by the final sentence: The balance between what they have spent and what they have found seems very unequal. What effect do you think the writer intended to have by ending...

Mendelian Genetics When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. Based on those results, estimate the...

Do boys with better glycemic control have different growth patterns in weight than boys with poorer glycemic control?

What is the standard deviation of adult height for the women in the first quartile group (group Q1)? Pediatrics A study was conducted to assess the association between climate conditions in infancy...

What test can be performed to compare the mean adult height between the first (Q1) and the fourth (Q4) quartiles? (Assume that the underlying variances of adult height in Q1 and Q4 are the same.)...

Catfish Ltd commenced business in 2008. For the year-ending 31/12/2016, they incurred a loss of $9 million. It is not anticipated that there will be further losses as the company becomes more...

Determine cu l proceso maximiza la utilidad por d a si cada parte se hace a partir de material que cuesta $ 4 y puede venderse en $ 3 0 . Ambos procesos son autom ticos por completo, y el costo...

4. Assume the following information: Work-in process, beginning 100 units, 25% complete Units completed and transferred out 600 units Work-in-process, ending 200 units, 40% complete A. Compute the...