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  1. chad should not have included the values (1, 2) and (3, 6) because that would mean he only had half a healing card.

  2. 37/3

    step-by-step explanation:

    step 1: simplify both sides of the equation.

    7x+8(x+

    1

    4

    )=3(6x−9)−8

    7x+(8)(x)+(8)(

    1

    4

    )=(3)(6x)+(3)(−9)+−8(distribute)

    7x+8x+2=18x+−27+−8

    (7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

    15x+2=18x+−35

    15x+2=18x−35

    tep 2: subtract 18x from both sides.

    15x+2−18x=18x−35−18x

    −3x+2=−35

    step 3: subtract 2 from both sides.

    −3x+2−2=−35−2

    −3x=−37

    step 4: divide both sides by -3.

    −3x

    −3

    =

    −37

    −3

    x=

    37

    3

  3. g(x) = 3*(8(3^(x−2))+2)

    g(x) = 24 (3^(x-2) )+6

    the factor is 2

    step-by-step explanation:

    let f(x)=8(3^(x−2)+2)

    to stretch a graph by 3, it would be 3f(x)

    g(x) =3f(x)

    g(x) = 3*(8(3^(x−2))+2)

    g(x) = 24 (3^(x-2) )+6

    x     −2     0     2     4     6

    f(x) 1/64 1/16   1/4     1     4

    1/64 * z * z = 1/16

    i multiplies by z twice because it its 2 steps from -2 to 0

    1/64 z^2 = 1/16

    multiply by 64 to clear the fraction on the left side

    1/4 * 64 z^2 =1/16 *64

    z^2 = 4

    take the square root of each side

    sqrt(z^2) = ±sqrt(4)

    z = ±2  

    we are multiplying by 2 each time.

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