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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

The graph below was created using stat crunch with data obtained from the website www.salary.com. The graph shows the presidential salary, in thousands of dollars, for the years 1789 to the
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.6x + 6y = 14x + 9y = 4
Determine the slope of the line through the given points.(3, -1), (5, -4)
Solve for the variable indicated.P = 2l + 2w for l
Determine whether the given value is a solution to the equation.4x + 3 = 7x - 6, x = 3
The graph below was created using Stat Crunch with data obtained from the U.S. Bureau of Transportation website (www.bts.gov). The graph shows the total vehicle production, in millions of vehicles,
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.3x + 2y = 85x - 3y = 2
Determine whether the given value is a solution to the equation.8x - 7 = 5x + 1, x = -2
Solve each equation by factoring.x2 - 21 = 4x
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.4x + y = 6-8x - 2y = 13
Graph the equation by plotting points.y = -2x + 3
Nielsen Media Research estimates the number of people who watch a television show. One rating point means that about 1,800,000 households watched the show. The top-rated television show for the week
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.2x - 7y = 14x - 14y = 3
Solve for the variable indicated.y = a + bx for x
Solve each equation by factoring.x2 - 12x + 11 = 0
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.2x - 7y = 1721y - 6x = -51
Solve for the variable indicated.V = 1/3 πr2h for h
Evaluate the expression for the given value(s) of the variable(s).2x3 + x2 - 3x - 4, x = -1
The water rate in Aurora, Colorado, is $5.87 per 1000 gallons of water used.a) During May, the Hindermans used 4327 gallons of water. Determine their water bill for May.b) During June, the Hindermans
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.3x - 2y = 74y - 6x = -14
Solve for the variable indicated.A = 1/2 bh for b
Evaluate the expression for the given value(s) of the variable(s).x3 - 3x2 + 7x - 5, x = 2
Rodney has 84 feet of fencing with which to build 3 separate pens for his chickens. The pens will be adjacent to the chicken coop as shown in the diagram.The square pens are all the same size and
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.2x + 3y = 65x - 4y = -8
F varies jointly as q1 and q2 and inversely as the square of d. If F = 80 when q1 = 4, q2 = 16, and d = 0.4, determine F when q1 = 12, q2 = 20, and d = 0.2.(a) Write the variation equation(b)
F varies jointly as M1 and M2 and inversely as the square of d. If F = 20 when M1 = 5, M2 = 10, and d = 0.2, determine F when M1 = 10, M2 = 20, and d = 0.4.(a) Write the variation equation(b)
Solve for the variable indicated.V = πr2h for h
Evaluate the expression for the given value(s) of the variable(s).-x2 + 3x - 10, x = -2
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.5x - 2y = 164x + 3y = -1
Solve for the variable indicated.C = 2πr for r
Determine which ordered pairs satisfy the given equation.y = -3/8x + 3 (8, 0) (-8, 9) (0, 3)
Evaluate the expression for the given value(s) of the variable(s).-2x2 + 5x - 9, x = 3
Solve each equation, using the zero-factor property.(5x - 4)(3x + 2) = 0
Marty is building a rectangular picture frame and has 42 inches of framing material to work with. What should be the dimensions of the frame if Marty wants the width to be 5 inches less than the
Evaluate the function for the given value of x.f (x) = 3x2 + 2x - 5, x = -4
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.3x - 2y = 99x - 5y = 24
Solve for the variable indicated.v - e + f = 2 for v
Determine which ordered pairs satisfy the given equation.3y = 4x + 2 (2, 1) (1, 2) (0, 2/3)
Evaluate the expression for the given value(s) of the variable(s).x2 + 7x - 3, x = -4
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.2x + 5y = 64x + 3y = -2
Solve for the variable indicated.p = a + b + c for a
Determine which ordered pairs satisfy the given equation.6y = 3x + 6 (1, -1) (4, 3) (2, 5)
Evaluate the expression for the given value(s) of the variable(s).x2 - 5x + 12, x = 3
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.x + 2y = 153x + y = 5
Solve for the variable indicated.V = lwh for w
S varies jointly as I and the square of T. If S = 4 when I = 10 and T = 4, determine S when I = 4 and T = 6.(a) Write the variation equation(b) Determine the quantity indicated.
Evaluate the expression for the given value(s) of the variable(s).-x2, x = 1
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.4x + 3y = -12x - y = -13
Determine which ordered pairs satisfy the given equation.3x - 2y = 10 (8, 7) (-1, 4) (10/3 , 0)
J varies directly as the square root of b. If J = 2 when b = 36, determine J when b = 81.(a) Write the variation equation(b) Determine the quantity indicated.
(a) Write the variation equation(b) Determine the quantity indicated.H varies directly as L. If H = 12 when L = 40, determine H when L = 10.
Evaluate the expression for the given value(s) of the variable(s).x - 7, x = 4
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.5x + 3y = -5x = 3/5y +
A varies jointly as R1 and R2 and inversely as the square of L. Determine A when R1 = 120, R2 = 8, L = 5, and k = 3/2.(a) Write the variation equation(b) Determine the quantity indicated.
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.A = P(1 +
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.x + y = 3y + x = 5
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.c = √a2 +
Combine like terms.3/5x + 3/10x - 8
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.6x + 3y = 3
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.s = -16t2 +
Combine like terms.4.7x - 6.1 + 8.2x
Graph the inequality.3x - 2y < 12
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.y = 2x - 1y = 3x - 4
Plot the given points on the same axes.(4.5, 3.5)
Combine like terms.6.2x - 8.3 + 7.1x
Graph the solution set of the inequality, where x is a real number, on the number line.5(2x - 7) ≤ 2(5x + 4)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.m = y2 -
Graph the solution set of the inequality, where x is a real number, on the number line.-3x + 7 ≥ -6(x - 1) + 3(x + 1)
Graph the inequality.-x + 2y < 2
Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.y = -3/2x + 23x + 2y = 4
Plot the given points on the same axes.(-3, 0)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.m = y2 -
Write an equation and solve.The product of 9 and a number is 54
Graph the solution set of the inequality, where x is a real number, on the number line.4(2x - 1) < 2(4x - 3)
Graph the inequality.3x + 2y < 6
Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.y = 2/3x + 12x - 3y = -3
Plot the given points on the same axes.(0, 2)
Use the formula to determine the value of the indicated variable for the values given. When appropriate, use the π key on your calculator and round your answer to the nearest hundredth.C = 5/9 (F -
Combine like terms.-13x2 - 3x + 23 + 4x2 - x - 29
For the graph of the equation y = x2 - 2x + 4,a) Determine whether the parabola will open upward or downward.b) Determine the equation of the axis of symmetry.c) Determine the vertex.d) Determine the
Factor the trinomial.x2 - 4x - 5
Write an equation and solve.The difference between a number and 11 is 2
Graph the solution set of the inequality, where x is a real number, on the number line.3x + 12 < 5x + 14
Graph the inequality.y ≤ -2/3x + 1
Solve the system of equations graphically. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.y = 1/2x + 2x - 2y = 6
Fill in the blank with an appropriate word, phrase, or symbol(s).In the equation y = kx, k is called the constant of ________ .
Solve the system of equations by the addition method. If the system does not have a unique ordered pair as a solution, state whether the system is inconsistent or dependent.x - 3y = -15x + 3y = 13
(a) Write the variation equation(b) Determine the quantity indicated.C varies inversely as the square root of m. If C = 8 when m = 9, determine C when m = 100.
Determine which ordered pairs satisfy the given equation.3x - 5y = 15 (0, -3) (5, 0) (-3, 5)
Graph the solution set of the inequality, where x is an integer, on the number line.-x/4 ≥ 2
Graph the system of linear inequalities and indicate the solution set.x + 2y ≥ 43x - y ≥ -6
Determine which ordered pairs satisfy the given equation.2x + 3y = 6 (0, 2) (3, 0) (2, 3)
When Brittany purchased a new battery for her SUV, she paid 7% sales tax plus a $5 battery recycling fee. If the total cost Brittany paid was $208.30, determine the cost of the battery before the
Graph the solution set of the inequality, where x is an integer, on the number line.x/3 ≤ -2
Graph the system of linear inequalities and indicate the solution set.x + y < 43x + 2y ≥ 6
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.2x + y = 12x = -12/y +
Solve the equation for y.3x + 10y = 20
(a) Write the variation equation(b) Determine the quantity indicated.A varies directly as the square of B. If A = 245 when B = 7, determine A when B = 12.
Evaluate the expression for the given value(s) of the variable(s).4x - 7, x = 5/2
Solve the system of equations by the substitution method. If the system does not have a single ordered pair as a solution, state whether the system is inconsistent or dependent.3x + y = 15x = -13/y +

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