Algebra questions

have a few questions I need help with:

Solve bycompleting 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 xand ythat maximize the objective function: Maximize for P = 2x– y.

system: (part of question, not answers)

xis less than or equal to 4

yis less than or equal to 3

xis greater than or equal to 0

yis 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 of33

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 + 8yand 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 themaximum cost Cfound 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 atypical day, it sells between 60 and 90 chef’s salads and between 50 and 80 Caesar salads. The totalnumber sold has never exceeded 150 salads. How many of each type of salad should be prepared tomaximize 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

OOO
MTHH039059-52_Rosia_Morgan.pdf (page 5 of 8)
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28. Write the equation of the parabola in vertex form.
4
N
5
10 x
1
-5/ -3 -1
2
a.
b.
+
6
y = -(x – 2)2 – 5
y = (x + 2)2 – 5
y = -(x + 2)2 + 5
y = (x – 2)2 + 5
C.
d.