10.2

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Write the system of equations corresponding to the given augmented matrix using the variables x and 5!. Then perform the row operation R2 = 4r1 + r2 on the given augmented matrix. 15 44 8 2 Which of the following is the system of equations corresponding to the augmented matrix?r x 53; 4x 4y 4x 55! 4x + 5! Perform the rowr operation. What is the resultant matrix? WTT |||| n | m 'K l"'\\ x l U'I ~:: II | on | | | a) II | 00 l"'\\ X + 4:. Ms: M | a] II | M | 0'1 X | 4:. Ms: M | M Write the system of equations corresponding to the augmented matrix. Then perform the 1 -26 8 row operations R2 = - 5ry + 12 and R3 = 4ry + 13 on the given augmented matrix. 5 -74 - 4 -4 -7 3 8 Which of the following is the system of equations corresponding to the augmented matrix? O A. x - 2y+6 = -8 O B. x - 2y + 6z - 8 = 0 5x - 7y+4 = -4 5x - 7y + 4z -4 = 0 - 4x - 7y +3 = 8 - 4x - 7y + 3z+8 = 0 &C. x - 2y + 67 = -8 O D. x - 2y + 62 = -8w 5x - 7y + 4z = -4 5x - 7y + 4z = -4w - 4x - 7y + 32 = 8 - 4x - 7y + 32 = 8w Perform the row operations R = - 50, + 12 and Rg = 4 + 1; on the original matrix given in the problem, and enter the resulting matrix below. (Simplify your answer.)Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. x - y = 2 6x - Z = 18 6y + 7z = 6 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The solution is (Simplify your answers.) O B. There are infinitely many solutions. The solution can be written as { ( x, y, z ) Ix =, y= z is any real number} (Simplify your answers. Type expressions using z as the variable.) O C. There are infinitely many solutions. The solution can be written as {(x,y,z) |x = , y is any real number, z is any real number} (Simplify your answer. Type an expression using y and z as the variables.) O D. The system is inconsistent.Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. 3x - 3y - 3z = 3 4x + 5y + Z =4 5x + 4y = 0 . . . Select the correct choice below and, if necessary, fill in the answer box(es) in your choice. O A. The solution is (Simplify your answers.) B. There are infinitely many solutions. The solution can be written as ( x , y, z ) 1 x = ,y= , Z is any real number} (Simplify your answers. Type expressions using z as the variable.) O C. There are infinitely many solutions. The solution can be written as {(x,y,z) | x= ,y is any real number, z is any real number} (Simplify your answer. Type an expression using y and z as the variables.) O D. The system is inconsistent.Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. 4x - 2y + 12z =4 8x + 5y + 42z =0 - 4x + y - 14z = 1 Select the correct choice below and, necessary, fill in the answer box(es) to complete your choice. O A. The solution is (Simplify your answers.) O B. There are infinitely many solutions. The solution can be written as ( x, y, z ) |x = , y = ,z is any real number} (Simplify your answers. Type expressions using z as the variable.) O C. There are infinitely many solutions. The solution can be written as {(x,y,z) |x =, y is any real number, z is any real number} (Simplify your answer. Type an expression using y and z as the variables.) O D. The system is inconsistent.Solve the following system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. X + 4y - Z = 5 4x - 8y + z = -1 - 4x + 4y - 5z = 12 Select the correct choice below and, if necessary, fill in the answer box(es) in your choice. O A. The solution is (Simplify your answers.) O B. There are infinitely many solutions. The solution can be written as (x,y,z) Ix= y = z is any real number} (Simplify your answers. Type expressions using z as the variable.) O C. There are infinitely many solutions. The solution can be written as (x,y,z) |x = , y is any real number, z is any real number} (Simplify your answer. Type an expression using y and z as the variables.) O D. The system is inconsistent.Find the function for) 23x3 +DX2 + cx+ d forwhich ft 3] = 72, ff \"=4. f{1] = 8, and f{2] = 13. Determine the system of equations that needs to be solved in order to find the expression for the function. Dzn D: 4 D: a D213 [Simplify your answers. Use integers or fractions for any numbers in the expression.) A person has $30,000 to invest. As the person's financial consultant: you recommend that the money be invested in Treasury bills that yield 2%, Treasury bonds that yield 4%, and corporate bonds that yield 6%. The person wants to have an annual income of $1020: and the amount invested in corporate bonds must be halfthat invested in Treasury bills. Find the amount in each investment. What is the solution? Select the correct choice below and fill in any answer boxes within your choice. '4." A- There is one solution. The amount in treasury bills is S , the amount in treasury bonds is $ , and the amount in corporate bonds is 3 (Type integers or decimals.) There are infinitely many solutions. The amount in treasury bills is $ _. the amount in treasury bonds is $ and the amount in corporate bonds is $2. where z is any real number. (Simplify your answers.) {'3 C. There is no solution. Analyze the graph of the function. 14x- - 33x - 56 R(X) = 2x- - 21x + 49 (a) What is the domain of R(x)? O A. (x / x * 0 , * * 2, and * # 7) B. XX # - and x # 75 8 7 OC. xx # 0, x# - =, x#,, andx#75 O D. All real numbers (b) What is the equation of the vertical asymptote(s) of R(x)? Select the correct choice below and fill in any answer boxes within your choice. O A. X = (Use a comma to separate answers as needed. Type an integer or a fraction.) O B. There is no vertical asymptote