Algebra questions
have a few questions I need help with:
Solve by completing the square x2 – 14x – 44 = 0
a. -4, 10
b. 7 plus or minus the sq root of 93
c. 4,-10
d. -7 plus or minus the sq root of 93
Find the missing value to complete the square x2 – 24x + ___
a. 144
b. 24
c. 48
d. 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 4
y is less than or equal to 3
x is greater than or equal to 0
y is greater than or equal to 0
answers 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 3i
b. 4 plus or minus 6i
c. 2 plus or minus 6i
d. plus or minus the square root of 13
Find the absolute value of this complex number 7 + 4i
a. 65
b square root of 33
c. square root of 65
d. 33
Solve the system: 2x + 5y= 10 , x + y= 2
a. 0,2
b 2,0
c. 1, 1
d. 3, -1
Find the maximum value of this quadratic function y = −x^2 + 2x + 5
a. 5
b 6
c. −1
d. 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 30
x + 3y is greater than or equal to 21
x is greater than or equal to 0, y is greater than or equal to 0
answers below:
a. 3,6
b. 0,0
c. 0,7
d. 0, 10
Simplify the expression (2 + 2i ) – (−4 + 3i )
a. 6+5i
b. −2–I
c. −2+5i
d. 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+3y
b. C= 2x+7y
c. C= 4x–3y
d. C= 5x+3y
28. picture will be uploaded for this problem
35. Write the function in vertex form y = x^2 – 4x + 6
a. y=(x–2)^2 — 2
b. y=(x–2)^2 + 2
c. y=(x–2)^2 + 6
d. y=(x–4)^2 + 2
Solve the system of equations:
x+y+z=8
y=3x
z=y–6
a (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+1
b. 2y=1.5x–1
c. 3x+4y=2
d. 4y–3x=−2
solve the system of equations:
2y–z= -13
3x+y= 13
x=6
a. (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 15
d. plus or minus i sq root of 15
A 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 Caesar
b. 60 chef and 50 Caesar
c. 90 chef and 60 Caesar
d. 60 chef and 80 Caesar
