We opened the section with a bar graph that showed fewer U.S. adults are getting married. (See Figure 3.1 on page 178.) The data can be modeled by the following system of linear equations: Percentage of never-married American adults, y, x years after 1970 -3x + 10y = 160 x + 2y = 142. Percentage of married American adults, y, x years after 1970 a. Use these models to determine the year, rounded to the nearest year, when the percentage of never-married adults will be the same as the percentage of married adults. For that year, approximately what percentage of Americans, rounded to the nearest percent, will belong to each group? b. How is your approximate solution from part (a) shown by the following graphs? 80 70 Married 60 x + 2y = 142 50 40 Never Married 30 20 -3X + 10y = 160 10 10 20 30 40 50 60 70 80 90 Years after 1970 Percentage of American Adults

Q: Refer to the System of Linear Equations below. 4x1- X2- X3 -D3 -2x1 +6x2 +X3 -9 -X1 +X2 +7xg =-6…

A:

Q: Consider the following system x₁ = Xx=-=-\ XE = a) -X₁-X₂+1 Find the equibrium » Plot Phas Portrail…

A:

Q: The data can be modeled by the following system of linear equations. - 4x + 20y = 120 Equation 1 x +…

A: We have the equation -4x+20y=120 where y is the percentage of never married adults and x is the…

Q: The figure on the right shows the intersections of four one-way streets. Complete parts (a) through…

A: Please see the below picture for detailed solution.

Q: The population growth of two towns over a period of five years is represented by the system of…

A: A cartesian coordinate system contains two mutually perpendicular number lines named x-axis and…

Q: Consider the given system of linear equations as shown: 8a +20y+ 15z 50 20x + 80y + 50z = 250…

A: We use Gauss elimination method to solve this system. First we write the Augmented matrix of this…

Q: 17 Consider the following system of equations, and find its solution. y = x-6 y = -x- 4 A (1,5) B…

A: 17. The system of equations are : y = x-6                                         ........(1) y =…

Q: Show the algebraic work steps used to lead to the solutions of the system defined by the equations…

A: Given equations are                                                               x2+4y2=13x2-4y2=5…

Q: Due to the rising costs of running a business, the photographer anticipates Tixed costs in the next…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at…

A:

Q: The data in the table below are not linear, but if we omit the first point, the remaining data are…

A:

Q: Solve the following system of equations graphically on the set of axes below 1 x +7 y = x+1

A:

Q: 20. Graph each system of linear equations on your calculator, and then choose the correct answ swer.…

A: y = -3x-15 denoted by red line y= -12 denoted by blue line

Q: The accompanying figure shows a network of one-way streets with traffic flowing in the directions…

A: Flow is one way so all the values of x must be non negative.

Q: car rental companies. Cars R Us charges $100 up front, plus 10 cents per mile. Thrifty Car Rentals…

A:

Q: What is this exceptional value for a?

A: First we write the linear system in matrix form Ax=b. Then it has unique solution if and only if…

Q: A Textile firmis currently producing 3 different fabrics for one of its clients. The client requires…

A: from the given information the matrix is defined as:

Q: A system of two equations was entered into a graphing calculator. y1(x) y2 (x) 1 0.25 -0.5 -1.25 2 1…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The data in the table below are not linear, but if we omit the first point, the remaining data are…

A: We have given the data  x= 1  4  7 y=9 21 33

Q: Assume that each large muffin requires 100 grams of dough and 60 grams of bran, that each small…

A:

Q: The following table shows some data from a study on substance use among 10th graders in the United…

A: According to the given information it is required to form system of linear equations of four…

Q: Find the critical point of the following nonlinear system which does not lie on the coordinate axes.…

A:

Q: The accompanying figure shows a network of one-way streets with traffic flowing in the directions…

A:

Q: Is \left(1,3\right)(1,3) a solution to this system of equations? ​ ​ 4x+5y=19\newline…

A: Yes (1,3) is the solution of system of equation

Q: The data can be modeled by the following system of linear equations. Equation 1 Equation 2 - 5x+ 20y…

A: We need to fill in the blanks.

Q: graph by hand the solution set of the system of inequlities y<-x+5 y<x+5 y>1\2x+1

A: According to the given information the given set of inequalities are:

Q: As in problem 26 in section 2 of Chapter 5 of your textbook, the system of linear equations below…

A:

Q: The data can be modeled by the following system of linear equations. Equation 1 Equation 2 - 5x +…

A:

Q: Suppose an experiment leads to the system of equations shown below. Complete parts a through c.…

A: Given system of equations solution is given by AX=B (1)…

Q: A wine producer has three wine varieties at various alcohol concentrations. Variety A has 10 %…

A: Consider the given: Let x be the number of millimeters of variety Aand y be the number of…

Q: A Textile firm is currently producing 2 different fabrics for one of its clients. The client…

A: The given system of equations is: 0.52V+0.20M+0.25P=40000.3V+0.50M+0.20P=35000.18V+0.30M+0.55P=2500…

Q: If eliminate the dependent variable y from followingthe original system, then what system will we…

A: Given The given equations are L1x+L2y=f1tL3x+L4y=f2t

Q: The following table shows some data from a study on substance use among 10th graders in the United…

A: The Given Information -   Smoked Cigarettes Cigarette-Free Totals U.S. x y 12,000 Europe z w…

Q: Consider the following system of equations in R2 → R2 yỉ + 2xỉ + x3 – yıY2 = 15 2y + xỉ + x + y1Y2 =…

A:

Q: Which of the following is an example of a linear system of equations? O 5x2 +6y = 13 6x - 12y = 14…

A: Proceed as explained below...

Q: The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at…

A:

Q: 1. Graph each system of linear equations on your calculator, and then choose the correct answer. Sy…

A: Given query is to find the solution of system of equations using graph.

Q: Illustrate two different state-variable formulations that model the system whose difference equation…

A: Consider the equation as shown below: Here, the object is to find two different state-variable…

Q: Obtain an approximate solution for the following system of linear equation: 2x1 + x2 + x4 = 3 X1 -…

A: Given:

Q: Given the following linear system, for what value(s) of k will the system have NO solution? (K-1)x+…

A:

Q: Which of the following will NOT form a linear system ? X = 4 A. 2x = 5 C. x, +5x, + 3x, - 2x, = -1 S…

A:

Q: solve the following system of linear equation by graphing and identify the type of system.

A: Here, 2 equations are: 2y=-3x+62y=-3x-2

Q: The pattern of higher rates of current alcohol​ use, binge alcohol​ use, and heavy alcohol use…

A: The percent of students enrolled in college will equal that of those not enrolled if the number in…

Q: A local computer company sells three types of laptop computers to three nearby stores. The number of…

A: We will find out the required solution

Q: Given the following linear equation between salary in (in hundreds of dollars) and years of…

A: The given linear equation between salary in (in hundreds of dollars) and years of experience is,…

Q: For a system of a distinguishable particles to be distributed in two similar compartments, the total…

A: The number of distinguishable particle is n. The number of similar compartment is 2.

Q: Consider the tollowing system of equations and its graph: –4x +y -17 3x + 2y 10 18 16 14 12 10 8. 4.…

A: The given system of linear equation -4x+y= -17  3x+2y=10  We have to fine the value of (x,y) .

Q: As in problem 26 in section 2 of Chapter 5 of your textbook, the system of linear equations below…

A:

Q: Determine the stability for the following linear system: y(n) = 5x(n) + 30x(n – 3) - 10x(n – 20)

A: Here we have to determine the stability for the given linear system i.e.…