have a few questions I need help with:Solve by completing the square x2 – 14x – 44 = 0a. -4, 10b. 7 plus or minus the sq root of 93c. 4,-10d. -7 plus or minus the sq root of 93Find the missing value to complete the square x2 – 24x + ___a. 144b. 24c. 48d. 12 Find the values of x and y that maximize the objective function: Maximize for P = 2x – y. system: (part of question, not answers)x is less than or equal to 4y is less than or equal to 3 x is greater than or equal to 0y is greater than or equal to 0answers below:a. (4, 3)b. (0, 3)c. (0, 0)d. (4, 0) solve the equation: x2 – 4x + 13 = 0 a. 2 plus or minus 3ib. 4 plus or minus 6ic. 2 plus or minus 6id. plus or minus the square root of 13Find the absolute value of this complex number 7 + 4ia. 65b square root of 33c. square root of 65d. 33 Solve the system: 2x + 5y= 10 , x + y= 2a. 0,2b 2,0 c. 1, 1 d. 3, -1Find the maximum value of this quadratic function y = −x^2 + 2x + 5a. 5b 6c. −1d. 0 Which point minimizes C = 5x + 8y and lies within the feasible region of the constraints listed? 4x + 3y is greater than or equal to 30x + 3y is greater than or equal to 21x is greater than or equal to 0, y is greater than or equal to 0answers below:a. 3,6b. 0,0c. 0,7d. 0, 10Simplify the expression (2 + 2i ) – (−4 + 3i )a. 6+5ib. −2–Ic. −2+5id. 6–I The vertices of a feasible region are (0, 0), (0, 2), (5, 2), and (4, 0). For which objective function is the

maximum cost C found at the vertex (4, 0)?a. C= −2x+3yb. C= 2x+7yc. C= 4x–3yd. C= 5x+3y 28. picture will be uploaded for this problem35. Write the function in vertex form y = x^2 – 4x + 6a. y=(x–2)^2 — 2b. y=(x–2)^2 + 2 c. y=(x–2)^2 + 6d. y=(x–4)^2 + 2 Solve the system of equations:x+y+z=8y=3xz=y–6a (2.5, 7.5, 0.5)b. (2, 6, 0)c. (1.2, 3.6, 0.8)d. (−2, −6, −4) The equation 3x – 4y = 2 and which of the following equations form a system with no solution?a. y=0.75x+1b. 2y=1.5x–1c. 3x+4y=2d. 4y–3x=−2 solve the system of equations:2y–z= -133x+y= 13 x=6a. (6, 4, 1)b. (6, −5, 3)c. (6, 1, 15)d. (6, 3, −4) Solve the equation x^2 = −15.a. There is no solution.b. −5, −3 c. plus or minus the sq root of 15d. plus or minus i sq root of 15A lunch stand makes $1.00 in profit on each chef’s salad and $1.25 in profit on each Caesar salad. On a

typical day, it sells between 60 and 90 chef’s salads and between 50 and 80 Caesar salads. The total

number sold has never exceeded 150 salads. How many of each type of salad should be prepared to

maximize profit?a. 70 chef and 80 Caesarb. 60 chef and 50 Caesarc. 90 chef and 60 Caesard. 60 chef and 80 Caesar

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