Question

ALGEBRA 1 HW< please help to give explanations

Answer 1

Please refer the attached pictures.

Hope this helps! :D

Answer 2

See below

Explanation:

a)

• 11x^2 + x^2 = (4x + 8)(3x - 3)
• 12x^2 = 12x^2 + 24x - 12x - 24
• 12x - 24 = 0
• 12x = 24
• x = 2

b)

• x/3 - x/9 = 6
• 3x/9 - x/9 = 6
• 2x/9 = 6
• 2x = 54
• x = 27

c)

• 6^(x + 9) = 36^x
• 6^(x + 9) = 6^(2x)
• x + 9 = 2x
• 2x - x = 9
• x = 9

d)

• 4/9 + 1/a = 2/3
• 1/a = 2/3 - 4/9
• 1/a = 6/9 - 4/9
• 1/a = 2/9
• a = 9/2

e)

• √x + 3 = 6
• x + 3 = 6^2
• x = 36 - 3
• x = 33

f)

1.2m - 0.2 = 3.8 + m

• 1.2m - m = 3.8 + 0.2
• 0.2m = 4
• m = 4/0.2
• m = 20

g)

• (x + 12)^2 = 9
• x + 12 = ± 3
• x = ± 3 - 12
• x = - 9, x = - 15