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give the zero of each linear function
1. f (x) = x - 5
2. F (x) = x + 6
3. g (x) = 2x + 4
4. G (x) = 3x + 4
5. h (x) = -4 x + 1
6. H (x) = -3x -2
7. y = 6x -7
8. y =6x -7 x + 5
9. 2x + y = 30
10. -4x + 3y = 8


Sagot :

Answer:

Step-by-step explanation:

1.

    x - 5 = 0

    x = 5

2.

    x + 6 = 0

    x = -6

3.

   2x + 4 = 0

   2x = -4

   [tex]\frac{2x}{2}[/tex] = [tex]\frac{-4}{2}[/tex]

   x = -2

4.

   3x + 4 = 0

   3x = -4

   [tex]\frac{3x}{3} = \frac{-4}{3}[/tex]

   x = - [tex]\frac{4}{3}[/tex]

5.

   - 4x + 1 = 0

   - 4x = - 1

   [tex]\frac{-4x}{-4} = \frac{-1}{-4}[/tex]

       x = [tex]\frac{1}{4}[/tex]

6.

     -3x - 2 = 0

     -3x = 2

     [tex]\frac{-3x}{-3} = \frac{2}{-3}[/tex]

          x = [tex]- \frac{2}{3}[/tex]

7. 6x - 7 = 0

   6x = 7

    [tex]\frac{6x}{6} = \frac{7}{6}[/tex]

    x = [tex]\frac{7}{6}[/tex]

8. 6x - 7x + 5 = 0

   -x + 5 = 0

   -x = -5

   [tex]\frac{-x}{-} = \frac{-5}{-}[/tex]

  x = 5

Answer:

Give the zero of each linear function

1. f (x) = x - 5

Substitute f(x) to zero

0=x-5

Move the variable to the left

-x=-5

Change the sign

x=5

2. F (x) = x + 6

Same explanation in the previous number

0=x+6

-x=6

x=6

3. g (x) = 2x + 4

Same explanation in the previous number 0=2x+4

-2x=4

Divide both sides by -2

x=-2

4. G (x) = 3x + 4

Same explanation in the previous number

0=3x+4

-3x=4

x= -4/3

5. h (x) = -4 x + 1

Same explanation in the previous number

0=-4x+1

4x=1

x=1/4

6. H (x) = -3x -2

Same explanation in the previous number

0=-3x-2

3x=-2

x= -2/3

7. y = 6x -7

Same explanation in the previous number

0=6x-7

-6x=-7

x= 7/6 or 1 1/6

8. y =6x -7 x + 5

Same explanation in the previous number

0=6x-7x+5

0=x+5

x=5

9. 2x + y = 30

Same explanation in the previous number

2x+0=30

2x=30

x=15

10. -4x + 3y = 8

-4x+3(0)=8

-4x+0=8

-4x=8

x=-2