University Algebra 10 Questions| Mathematics – Algebra

    University Algebra 10 Questions| Mathematics – Algebra

    Student: _____________________ Date: _____________________

    Course: College Algebra

    Assignment: 4

    1. Use the quadratic formula to find the exact solutions of the following equation.

    x2 − 9x = 36

    The solution(s) is/are .

    (Simplify your answers. Type exact answers, using radicals as needed. Use a comma to separate answers as needed. Express complex numbers in terms of . Type each solution only once.)

    2. Solve.

    (Simplify your answers. Round to the nearest integer as needed.)

    b) Find any horizontal asymptotes. Select the correct choice below, and if necessary, fill in the answer box to complete your choice.

    A. The horizontal asymptote(s) is/are . (Type an equation.)

    B. The graph has no horizontal asymptote.

    Complete the following.

    P(t) goes to as t goes to .

    (Type an integer or a decimal.)

    c) What does this indicate about the population? Choose the correct answer below.

    A.

    In

    time,

    the population of this community increases to

    .

    B.

    In

    time,

    the population of this community decreases to

    .

    6

    7

    C.

    In

    time,

    the population of this community decreases to

    .

    1

    3

    3

    D.

    In

    time,

    no one lives in this community

    .

    4. A once­popular children’s doll is slowly declining in popularity. The quartic function f(x) = − 0.025×4 + 0.561×3 − 3.617×2 − 1.219x + 86.923, where x is the number of years since 1993, can be used to estimate the number of dolls of this type that were sold (in thousands) during a given year from 1993 to 2003. Estimate how many dolls were sold in 1998.

    (

    i

    )(

    i

    )

    3

    +

    2

    3

    2

    =

    (

    Simplify

    your answer

    . T

    ype your answer in the form

    a

    b

    .)

    +

    The number of dolls sold in

    was approximately

    .

    1

    9

    9

    8

    (

    Round

    to the nearest

    thousand.)

    5.

    6.

    Simplify

    .

    +

    2

    4

    1

    +

    4

    7

    1

    +

    +

    2

    4

    1

    +

    4

    7

    1

    +

    =

    (

    Simplify

    your answer

    . T

    ype your answer in the form

    a

    b

    .

    Use integers or fractions for any numbers in the

    expression.)

    +

    Solve.

    ,

    for

    W

    =

    5

    P

    C

    C

    C

    =

    7.

    Find the domain of the following function.

    f

    (

    x

    )

    =

    7

    4

    x

    2

    x

    2

    0

    The domain of

    f(x)

    is

    .

    (

    T

    ype

    your answer in interval

    notation.)

    8. The diagonal of a TV set is 26 inches long. Its length is 14 inches more than the height. Find the dimensions of the TV set.

    9.

    10.

    The height of the TV set is

    inches.

    The length of the TV set is

    inches.

    A

    is dropped from the top of

    .

    Exactly

    seconds

    later

    ,

    the sound of the

    hitting bottom

    is heard. How deep is the

    ?

    r

    u

    b

    b

    e

    r

    b

    a

    l

    l

    a

    h

    o

    l

    e

    3

    .

    5

    r

    u

    b

    b

    e

    r

    b

    a

    l

    l

    h

    o

    l

    e

    The

    is approximately

    feet deep.

    h

    o

    l

    e

    Round

    (

    to the nearest

    tenth.)

    Hint:

    The distance that a dropped object falls in t seconds is

    represented by the formula

    s

    16

    t

    .

    The speed of sound is

    1

    100

    ft/sec.

    =

    2

    Perform the indicated operation.

    (3 + 2i )(3 − 2i )

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