Nothing Special   »   [go: up one dir, main page]
Scribd Logo
Upload

Welcome to Scribd!

  • 7 views

    Short Quiz 1

    Uploaded by

    Migs
    1. Solve the given equations for the possible values of the variables. 2. Simplify the given expressions. 3. Solve the multi-step word problem to find the values of variables A, B, C, and D that satisfy the given equation.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd

    Short Quiz 1

    Uploaded by

    Migs
    7 views3 pages
    1. Solve the given equations for the possible values of the variables. 2. Simplify the given expressions. 3. Solve the multi-step word problem to find the values of variables A, B, C, and D that satisfy the given equation.

    Original Description:

    Mathematics

    Copyright

    © © All Rights Reserved

    Available Formats

    PDF, TXT or read online from Scribd

    Did you find this document useful?

    Is this content inappropriate?

    1. Solve the given equations for the possible values of the variables. 2. Simplify the given expressions. 3. Solve the multi-step word problem to find the values of variables A, B, C, and D that satisfy the given equation.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    7 views3 pages

    Short Quiz 1

    Uploaded by

    Migs
    1. Solve the given equations for the possible values of the variables. 2. Simplify the given expressions. 3. Solve the multi-step word problem to find the values of variables A, B, C, and D that satisfy the given equation.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 3

    Sumaya, Miguel P.

    MEE12 10/14/2022

    APPLIED ENGINEERING MATHEMATICS

    Solve for x (all possible values of x)


    1. 𝟑𝒙𝟐 − 𝟒𝒙 − 𝟑𝟐 = 𝟎
    (3𝑥 + 8)(𝑥 − 4) = 0
    3𝑥 + 8 = 0
    𝑥−4=0
    −𝟖
    𝒙= 𝒐𝒓 𝒙 = 𝟒
    𝟑

    2. 𝟐𝒙 − 𝟒𝒚 + 𝟑𝒛 = 𝟑𝟓
    2𝑥 − 4𝑦 + 4𝑦 + 3𝑧 = 35 + 4𝑦
    2𝑥 + 3𝑧 − 3𝑧 = 35 + 4𝑦 − 3𝑧
    2𝑥 = 35 + 4𝑦 − 3𝑧
    2𝑥 4𝑦 − 3𝑧 + 35
    =
    2 2
    𝟒𝒚 − 𝟑𝒛 + 𝟑𝟓
    𝒙=
    𝟐

    −𝟑𝒙 − 𝟐𝒚 + 𝟒𝒛 = 𝟓
    −3𝑥 − 2𝑦 + 2𝑦 + 4𝑧 = 5 + 2𝑦
    −3𝑥 + 4𝑧 − 4𝑧 = 5 + 2𝑦 − 4𝑧
    −3𝑥 = 5 + 2𝑦 − 4𝑧
    −3𝑥 5 + 2𝑦 − 4𝑧
    =
    −3 −3
    𝟐𝒚 − 𝟒𝒛 + 𝟓
    𝒙=
    −𝟑

    −𝒙 − 𝟓𝒚 + 𝟕𝒛 = 𝟑𝟔
    −𝑥 − 5𝑦 + 5𝑦 + 7𝑧 = 36 + 5𝑦
    −𝑥 + 7𝑧 − 7𝑧 = 36 + 5𝑦 − 7𝑧
    −𝑥 = 36 + 5𝑦 − 7𝑧
    −𝑥 5𝑦 − 7𝑧 + 36
    =
    −1 −1
    𝟓𝒚 − 𝟕𝒛 + 𝟑𝟔
    𝒙=
    −𝟏
    3. 𝟒𝒙+𝟏 = 𝟖𝟑𝒙−𝟓
    (𝑥+1) (3𝑥−5)
    22 = 23
    22𝑥+2 = 29𝑥−15
    2𝑥 + 2 = 9𝑥 − 15
    15 + 2 = 9𝑥 − 2
    17 = 7𝑥
    17 7𝑥
    =
    7 7
    𝟏𝟕
    =𝒙
    𝟕

    4. 𝒍𝒐𝒈𝟑𝒙 + 𝟐𝒍𝒐𝒈𝒙 + 𝐥𝐨𝐠(𝟐) = 𝟏𝟎𝟐


    3𝑙𝑜𝑔𝑥 + 2𝑙𝑜𝑔𝑥 + 0.30103 = 100
    30103
    5𝑙𝑜𝑔𝑥 + = 100
    100000
    100000(5𝑙𝑜𝑔𝑥) + 30103
    = 100
    100000
    500000𝑙𝑜𝑔𝑥 + 30103 = 100000(100)
    500000𝑙𝑜𝑔𝑥 + 30103 − 30103 = 10000000 − 30103
    500000𝑙𝑜𝑔𝑥 = 9969897
    500000𝑙𝑜𝑔𝑥 9969897
    =
    500000𝑙𝑜𝑔 500000𝑙𝑜𝑔
    𝟗𝟗𝟔𝟗𝟖𝟗𝟕
    𝒙=
    𝟓𝟎𝟎𝟎𝟎𝟎𝒍𝒐𝒈

    SIMPLIFY
    −1
    (𝑎 −4 𝑏−6 )3 (𝑎2 𝑏5 ) (𝑎𝑏6 )2
    5.
    (𝑎 3 𝑏−2 )(𝑎4 𝑏−3 )
    2 17
    𝑎 𝑏
    =
    𝑎21 𝑏 23
    𝟏
    = 𝟏𝟗 𝟔
    𝒂 𝒃
    6. 𝐴𝐵𝐶𝐷 + 𝐴𝐶𝐷 + 𝐴𝐷 = 2022

    D.) 3𝐷 = 2, 12, 22
    2 22
    𝐷 = , 4,
    3 3
    𝑫=𝟒

    C.) 1 + 3𝐶 = 2, 12, 22
    1 − 1 + 3𝐶 = 2 − 1, 12 − 1, 22 − 1
    3𝐶 = 1, 11, 21
    1 11
    𝐶= , ,7
    3 3
    𝑪=𝟕

    B.) 2 + 𝐵 + 𝐴 = 10,20

    2 − 2 + 𝐵 + 𝐴 = 10 − 2, 20 − 2
    𝐵 + 𝐴 = 8, 18
    𝑩=𝟕
    𝐴𝑠𝑠𝑢𝑚𝑒 𝐵 + 𝐴 = 8, 18 𝐴𝑠𝑠𝑢𝑚𝑒 𝐵 + 𝐴 = 18
    𝐵+𝐴=8 𝐵 + 𝐴 = 18
    1+𝐴=2 𝐵=9
    𝐴=1 𝐴=9
    𝐵=7

    A.) 𝐴 = 1

    A=1, B=7, C=7, D=4

    1774+174+74=2022

    You might also like