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Answer:

see explanation

Step-by-step explanation:

Substitute the given values of x into f : x → [tex]\frac{3}{7}[/tex] x + 4

x = - 14 → ([tex]\frac{3}{7}[/tex] × - 14) + 4 = (3 × - 2) + 4 = - 6 + 4 = - 2

x = 28 → ( [tex]\frac{3}{7}[/tex] × 28) + 4 = (3 × 4) + 4 = 12 + 4 = 16

x = [tex]\frac{7}{8}[/tex] → ([tex]\frac{3}{7}[/tex] × [tex]\frac{7}{8}[/tex] ) + 4 = [tex]\frac{3}{8}[/tex] + 4 = [tex]\frac{3}{8}[/tex] + [tex]\frac{32}{8}[/tex] = [tex]\frac{35}{8}[/tex]

x = - [tex]\frac{2}{9}[/tex] → ([tex]\frac{3}{7}[/tex] × - [tex]\frac{2}{9}[/tex] ) + 4 = ([tex]\frac{1}{7}[/tex] × - [tex]\frac{2}{3}[/tex]) + 4 = - [tex]\frac{2}{21}[/tex] + [tex]\frac{84}{21}[/tex] = [tex]\frac{82}{21}[/tex]

Answer:

See below in bold.

Step-by-step explanation:

1. 3/7 * -14 + 4

   = -6 + 4

    = -2.

2. 3/7 * 28 + 4

   = 12 + 4

    = 16.

3 3/7 * 7/8 + 4

   =  3/8 + 4

    =   35/8 or 4 3/8.

4. 3/7 * -2/9 + 4

   = -6/63 + 4

   = -2/21 + 4

    = -82/21 or -3 19/21.