simple equations algebra homework help

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QUESTION 1

  1. Select the graph of the quadratic function Æ’(x) = 4 – x2. Identify the vertex and axis of symmetry.
    Vertex: (0,4)Axis of symmetry: y-axis
    Vertex: (0,2)Axis of symmetry: y-axis
    Vertex: (0,5)Axis of symmetry: y-axis
    Vertex: (0,3)Axis of symmetry: y-axis
    Vertex: (0,1)Axis of symmetry: y-axis

5 points

QUESTION 2

  1. Select the graph of the quadratic function Æ’(x) = x2 + 3. Identify the vertex and axis of symmetry.
    Vertex: (0,4)Axis of symmetry: y-axis
    Vertex: (0,5)Axis of symmetry: y-axis
    Vertex: (0,1)Axis of symmetry: y-axis
    Vertex: (0,3)Axis of symmetry: y-axis
    Vertex: (0,2)Axis of symmetry: y-axis

5 points

QUESTION 3

  1. Determine the vertex of the graph of the quadratic function

5 points

QUESTION 4

  1. Determine the x-intercept(s) of the quadratic functionÆ’(x) = x2 + 4x – 32
    (-4,0), (8,0)
    (0,0), (7,0)
    (4,0), (-8,0)
    (0,0), (-7,0)
    no x-intercept(s)

5 points

QUESTION 5

  1. Write a polynomial that fits the description.A fifth-degree polynomial with leading coefficient 4
    1024x5 + 3x + 1
    4x5 + 3x + 1
    4x4 + 3x3 + 4x2 + 5x + 1
    6x5 + 3x + 1
    x5 + 4

5 points

QUESTION 6

  1. Perform the operation and write the result in standard form.(3x2 + 5) – (x2 – 4x + 5)
    3x2 + 4x
    2x2 + 4x + 5
    2x2 – 4x
    2x2 + 4x
    2x2 + 4x – 5

5 points

QUESTION 7

  1. Multiply or find the special product.(x+4)(x+9)
    x2 + 13x
    x2 + 4x + 36
    x2 + 36
    x2 + 13x + 36
    x2 + 13x + 9

5 points

QUESTION 8

  1. Factor out the common factor.8x3 – 104x
    8x3(1-13x)
    8(x3-13x)
    8x2(x-13)
    x(8x2-104)
    8x(x2-13)

5 points

QUESTION 9

  1. Factor the Trinomial.x2 + 14x + 45
    (x-5)(x-9)
    (x+5)(x-9)
    (x+5)(x+9)
    (x-5)-(x-9)
    (x-5)(x+9)

5 points

QUESTION 10

  1. Determine whether the value of x=0 is a solution of the equation.5x-3 = 3x+5
    yes
    no

5 points

QUESTION 11

  1. Solve the equation and check your solution.67x – 24 = 3x + 8(8x-3)
    3
    67
    -3
    -67
    All real numbers

5 points

QUESTION 12

  1. Solve the quadratic equation by factoring.x2 – 6x + 5 = 0
    -1,5
    -1,-5
    1,-5
    1,5
    6,5

5 points

QUESTION 13

  1. Solve the equation and check your solution. (If not possible, explain why)
    8
    7/17
    15/8
    12
    15

5 points

QUESTION 14

  1. Find the slope-intercept form of the equation of the line that passes through the given point and has the indicated slope m. Sketch the line.(-6,6), m=-2
    y=6x+6
    y=6x+6
    y = -6x-6
    y = -2x – 6
    y = 6x-6

5 points

QUESTION 15

  1. Evaluate the function at q(3)
    1/8
    1/6
    1/4
    1/7
    1/5

5 points

QUESTION 16

  1. Does the table describe a function?
    yes
    no

5 points

QUESTION 17

  1. Find the domain of the function.
    All real numbers x
    Non-negative real numbers x such that x = 0
    Non-negative real numbers x
    All real numbers x such that x<0
    All real numbers x such that x>0

5 points

QUESTION 18

  1. Find the zeroes of the function algebraically.Æ’(x) = 2x2 – 3x – 20
    –5/2, 4
    –5/2, -4
    –2/5, 4
    5/2, -4
    5/2, 4

5 points

QUESTION 19

  1. Find (f+g)(x)Æ’(x) = 2x – 4, g(x) = 6 – x
    3x – 2
    2x – 2
    2x + 2
    3x + 2
    x+2

5 points

QUESTION 20

  1. Find g ∘ fÆ’(x) = x3, g(x) = x – 1
    x3 – 1
    x3
    (x – 1)3
    (x3 + 1)
 
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