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Questions and Answers of College Algebra

A cashier has a total of 30 bills, made up of ones, fives, and twenties. The number of twenties is 9 more than the number of ones. The total value of the money is $351. How many of each denomination
The Fan Cost Index (FCI) is a measure of how much it will cost a family of four to attend a professional sports event. In 2014, the FCI prices for Major League Baseball and the National Football
At the Berger ranch, 6 goats and 5 sheep sell for $305, while 2 goats and 9 sheep sell for $285. Find the cost of a single goat and of a single sheep.
Solve each problem.The sum of two numbers is 47, and the difference between the numbers is 1. Find the numbers.
The graph shows the populations of the New Orleans, LA, and the Jacksonville, FL, metropolitan areas over the years 2004–2013.Population of Metropolitan AreasWhy is each graph that of a function?
The graph shows the populations of the New Orleans, LA, and the Jacksonville, FL, metropolitan areas over the years 2004–2013.Population of Metropolitan AreasIf equations of the form y = ƒ(t) were
The graph shows the populations of the New Orleans, LA, and the Jacksonville, FL, metropolitan areas over the years 2004–2013.Population of Metropolitan AreasUse the terms increasing, decreasing,
The graph shows the populations of the New Orleans, LA, and the Jacksonville, FL, metropolitan areas over the years 2004–2013.Population of Metropolitan AreasExpress the solution of the system as
The graph shows the populations of the New Orleans, LA, and the Jacksonville, FL, metropolitan areas over the years 2004–2013.Population of Metropolitan AreasAt the time when the populations of the
The graph shows the populations of the New Orleans, LA, and the Jacksonville, FL, metropolitan areas over the years 2004–2013.Population of Metropolitan AreasIn what years was the population of the
For certain aircraft there exists a quadratic relationship between an airplane’s maximum speed S (in knots) and its ceiling C, or highest altitude possible (in thousands of feet). The table lists
Carbon dioxide concentrations (in parts per million) have been measured directly from the atmosphere since 1960. This concentration has increased quadratically. The table lists readings for three
Given three noncollinear points, there is one and only one circle that passes through them. Knowing that the equation of a circle may be written in the form x2 + y2 + ax + by + c = 0, find an
Given three noncollinear points, there is one and only one circle that passes through them. Knowing that the equation of a circle may be written in the form x2 + y2 + ax + by + c = 0, find an
Given three noncollinear points, there is one and only one circle that passes through them. Knowing that the equation of a circle may be written in the form x2 + y2 + ax + by + c = 0, find an
Given three noncollinear points, there is one and only one circle that passes through them. Knowing that the equation of a circle may be written in the form x2 + y2 + ax + by + c = 0, find an
Given three noncollinear points, there is one and only one circle that passes through them. Knowing that the equation of a circle may be written in the form x2 + y2 + ax + by + c = 0, find an
Given three noncollinear points, there is one and only one circle that passes through them. Knowing that the equation of a circle may be written in the form x2 + y2 + ax + by + c = 0, find an
The table was generated using a function y1 = ax2 + bx + c. Use any three points from the table to find an equation for y1. HORHL FCORE HurO BERL IHDINN PRESE-FORAT Y1 29 36 L10 7.16 16.1 X=-3
Find an equation of the parabola. Three views of the same curve are given. FORTIALPLOAT TA EHEAIAH HE 10 10 -10- 10- - 10 -10 - 10 yea.7E yea.7E
Use a system to find an equation of the parabola through the given points. y (2, 9) (-3, 4) (-2, 1) HН х
Use a system to find an equation of the line through the given points. (2, 5) х (-1, –4)
Use a system of equations to solve the problem.Find an equation of the parabola y = ax2 + bx + c that passes through the points (-2, 4), (2, 2), and (4, 9).
Use a system of equations to solve the problem.Find an equation of the parabola y = ax2 + bx + c that passes through the points (2, 3), (-1, 0), and (-2, 2).
Use a system of equations to solve the problem.Find an equation of the line y = ax + b that passes through the points (3, -4) and (-1, 4).
Use a system of equations to solve the problem.Find an equation of the line y = ax + b that passes through the points (-2, 1) and (-1, -2).
Consider the linear equation in three variables x + y + z = 4.Find a pair of linear equations in three variables that, when considered together with the given equation, form a system having (a)
For what value(s) of k will the following system of linear equations have no solution? Infinitely many solutions?x - 2y = 3-2x + 4y = k
Solve the system. 5 || || || 51 의 -
Solve the system. -1 х 12 5 = 5 х 3 х y ||
Solve each system. 2 3 18 х 4 5 -8 х || ||
Solve the system. 11 х y 3 10 х У ||
Solve the system. 16 3 х У 5 4 -= 5 х ||
Solve the system. 2. 1 3 2 y У ||
Solve the system. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with z arbitrary.2x + y - 3z = 04x +
Solve the system. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with z arbitrary.5x - 4y + z = 0x +
Solve the system. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with z arbitrary.3x + y + 3z = 1x +
Solve the system. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with z arbitrary.3x + 5y - z = -24x
Solve the system in terms of the arbitrary variable z.x - y + z = -64x + y + z = 7
Solve the system in terms of the arbitrary variable z.3x + 4y - z = 13x + y + 2z = 15
Solve the system in terms of the arbitrary variable z.3x - 5y - 4z = -7y - z = -13
Solve the system in terms of the arbitrary variable z.5x - 4y + z = 9y + z = 15
Solve the system in terms of the arbitrary variable z.3x - 2y + z = 15x + 4y - z = 11
Solve the system in terms of the arbitrary variable z.x - 2y + 3z = 62x - y + 2z = 5
Solve the system.-x + 2y - z - 1 = 0-x - y - z + 2 = 0x - y + 2z - 2 = 0
Solve the system.2x - 3y + 2z - 3 = 04x + 8y + z - 2 = 0-x - 7y + 3z - 14 = 0
Solve the system.8x - 3y + 6z = -24x + 9y + 4z = 1812x - 3y + 8z = -2
Solve the system.2x + 6y - z = 64x - 3y + 5z = -56x + 9y - 2z = 11
Solve the system.x + y + z = 33x - 3y - 4z = -1x + y + 3z = 11
Solve the system.x - 3y - 2z = -33x + 2y - z = 12-x - y + 4z = 3
Solve the system.4x - 3y + z = 93x + 2y - 2z = 4x - y + 3z = 5
Solve the system.x + 4y - z = 62x - y + z = 33x + 2y + 3z = 16
Solve the system.4x - y + 3z = -23x + 5y - z = 15-2x + y + 4z = 14
Solve the system.x + 3y + 4z = 142x - 3y + 2z = 103x - y + z = 9
Solve the system.2x + y + z = 9-x - y + z = 13x - y + z = 9
Solve each system.x + y + z = 22x + y - z = 5x - y + z = -2
Use a graphing calculator to solve each system. Express solutions with approximations to the nearest thousandth. 0.2х + V2y %3D 1 У5x + 0.7y %3D 1
Use a graphing calculator to solve each system. Express solutions with approximations to the nearest thousandth. Vīx + V2y = 3 6х у3 Vз y =
Use a graphing calculator to solve each system. Express solutions with approximations to the nearest thousandth. Узх — у 3 5 100х + у %3D 9
Use a graphing calculator to solve each system. Express solutions with approximations to the nearest thousandth. 11 + y = 0.5 3 0.6х — у %3D 3
Determine the system of equations illustrated in each graph. Write equations in standard form. y -3 2, 2. х 2 3 -2-
Determine the system of equations illustrated in each graph. Write equations in standard form. 12 11 -3 2.
Which screen gives the correct graphical solution of the system?4x - 5y = -112x + y = 5 A. FLOAT UTA HEH TADIAH HP EE EHERIKET B. FLOAT TR EH FARIAH HP CHLECHTERECT 10 10 10 10 teriection - 10
Solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.2x -
Solve the system of equations. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.2x -
Solve the system of equations. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.7x +
Solve the system of equations. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.2x -
Solve the system of equations. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.5x -
Solve the system of equations. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.3x +
Solve each system of equations. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.4x -
Solve the system of equations. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.3x +
Solve the system of equations. State whether it is an inconsistent system or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.9x -
Solve the system by elimination. In systems with fractions, first clear denominators. x + 6, 2y – x = 1 10 х +2 , Зу + 2 -3 4
Solve the system by elimination. In systems with fractions, first clear denominators. 2х — 1, у+ 2 4 3 4 х — у 3 х+ 3 3 2.
Solve the system by elimination. In systems with fractions, first clear denominators. Зx y -2 2 2 У х
Solve the system by elimination. In systems with fractions, first clear denominators. y = 4 х Зу Зх 15 2
Solve the system by elimination. In systems with fractions, first clear denominators.5x + 4y + 2 = 04x - 5y - 23 = 0
Solve the system by elimination. In systems with fractions, first clear denominators.6x + 7y + 2 = 07x - 6y - 26 = 0
Solve the system by elimination. In systems with fractions, first clear denominators.12x - 5y = 93x - 8y = -18
Solve the system by elimination. In systems with fractions, first clear denominators.5x + 7y = 610x - 3y = 46
Solve the system by elimination. In systems with fractions, first clear denominators.4x + 3y = -12x + 5y = 3
Solve the system by elimination. In systems with fractions, first clear denominators.2x - 3y = -75x + 4y = 17
Solve the system by elimination. In systems with fractions, first clear denominators.4x + y = -23x - 2y = -17
Solve the system by elimination. In systems with fractions, first clear denominators.3x - y = -4x + 3y = 12
Solve the system by substitution.4y = 2x - 4x - y = 4
Solve the system by substitution.3y = 5x + 6x + y = 2
Solve the system by substitution.3x - 7y = 153x + 7y = 15
Solve the system by substitution.-2x = 6y + 18-29 = 5y - 3x
Solve the system by substitution.4x + 5y = 79y = 31 + 2x
Solve the system by substitution.7x - y = -103y - x = 10
Solve the system by substitution.4x - 5y = -112x + y = 5
Solve the system by substitution.8x - 10y = -223x + y = 6
Solve the system by substitution.6x - y = 5y = 11x
Solve the system by substitution.x - 5y = 8x = 6y
Solve the system by substitution.3x + 4y = 4x - y = 13
Solve the system by substitution.4x + 3y = -13-x + y = 5
If a system of linear equations in two variables has two graphs that are parallel lines, there is/are__________/ (one/no/infinitely many) solutions to the system.
If a system of linear equations in two variables has two graphs that coincide, there is/are _________/(one/no/infinitely many) solutions to the system.
Fill in the blank(s) to correctly complete each sentence.To solve the system(1) 3x + y = 4(2) 7x + 8y = -2by substitution, it is easiest to begin by solving equation (1) for the variable_______ and
Fill in the blank(s) to correctly complete each sentence.One way of solving the following system by elimination is to multiply equation (2) by the integer ______ to eliminate the y-terms by direct

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