Determine which of the following points lies on the graph of the equation, assignment help

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QUESTION 1

  1. Determine which of the following points lies on the graph of the equation:

    (0,7)

    (0,6)

    (0,5)

    (6,5)

    (1,5)

5 points  

QUESTION 2

  1. Complete the table.  Use the resulting solution points to sketch the graph of the equation.

5 points  

QUESTION 3

  1. Graphically estimate the x- and y- intercepts of the graph:

    y = x3 – 9x

    x-intercept: (±3,0),(0,0)

    y-intercept: (0,0)

    x-intercept: (3,0),(0,0)

    y-intercept: (0,0)

    x-intercept: (-3,0),(0,0)

    y-intercept: (0,0)

    x-intercept: (0,±3),(0,0)

    y-intercept: (0,0)

    x-intercept (0,3),(0,0)

    y-intercept (0,0)

5 points  

QUESTION 4

  1. Find the x- and y-intercepts of the graph of the equation 

    y=49-7x

    x-intercept: (7,0)

    y-intercept: (0,-7)

    x-intercept: (49,0)

    y-intercept: (0,7)

    x-intercept: (-7,0)

    y-intercept: (0,-49)

    x-intercept: (49,0)

    y-intercept: (0,49)

    x-intercept: (7,0)

    y-intercept: (0,49)

5 points  

QUESTION 5

  1. Determine whether the value of x=7 is a solution of the equation:

    no

    yes

5 points  

QUESTION 6

  1. Solve the equation 8-5x=6

5 points  

QUESTION 7

  1. Solve the equation and check your solution.

    -2-4x=30

    9

    -11

    -8

    7

    -10

5 points  

QUESTION 8

  1. Solve the equation and check your solution.

    5y + 1 = 6y – 5 + 8y

    2/3

    3/2

    6/5

    5/6

    –2/3

5 points  

QUESTION 9

  1. Solve the equation and check your solution.

    67x – 24 = 3x + 8(8x-3)

    3

    67

    -3

    -67

    All real numbers

5 points  

QUESTION 10

  1. Solve the equation and check your solution.

    10

    6

    7

    9

    8

5 points  

QUESTION 11

  1. Solve the equation and check your solution.  (If not possible, explain why.)

    2

    5

    6

    4

    10

5 points  

QUESTION 12

  1. Solve the equation and check your solution.  (If not possible, explain why)

    -18

    7

    11

    No solution.  The variable is divided out.

    20

5 points  

QUESTION 13

  1. Write the quadratic equation in general form.

    4x2 = 8 – 9x

    4x2 + 9x + 8 = 0

    4x2 + 9x = -8

    4x2 – 9x – 8 = 0

    -4x2 + 9x – 8 = 0

    4x2 + 9x – 8 = 0

5 points  

QUESTION 14

  1. Solve the quadratic equation by factoring.

    x2 – 6x + 5 = 0

    -1, 5

    -1,-5

    1,-5

    1,5

    6,5

5 points  

QUESTION 15

  1. Solve the quadratic equation by factoring.

    x2 + 8x + 16 = 0

    4

    –1/4

    -4

    ±4

    1/4

5 points  

QUESTION 16

  1. Solve the equation by extracting square roots.

    (x+6)2 = 5

    6 + √5

    -6 ± √5

    -6 -√5

    6 ± √5

    -6 + √5

5 points  

QUESTION 17

  1. Use the Quadratic Formula to solve

    x2 + 20x + 98 = 0

    x = -8, x = -12

    x = -√2 – 10, x = √2 – 10

    x = -√3 – 10, x = √3 – 10

    x = 10, x = -10

    x = -√2 – 9, x = √2 – 9

5 points  

QUESTION 18

  1. Write the complex number in standard form.

    √ -9 

    3i

    -3i

    9i

    4i

    -9i

5 points  

QUESTION 19

  1. Find real numbers a and b such that the equation is true.

    a + bi = 14 + 2i

    a=16, b=4

    a=18, b=6

    a=14, b=2

    a=15, b=14

    a=17, b=5

5 points  

QUESTION 20

  1. Find all solutions to the following equation.

    x = –17/4

    x=9

    no solution

    x=-17

    x=-8

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