Answer: 
Step-by-step explanation:
Group like terms:

Simplify the arithmetic:

Add 7 to both sides:

Simplify the arithmetic:

Simplify the arithmetic:

Divide both sides by 3:

Simplify the fraction:

Find the greatest common factor of the numerator and denominator:

Factor out and cancel the greatest common factor and the answer will be:

Answer:
B
Step-by-step explanation:
x² - 12x + 11 = 0 ( subtract 11 from both sides )
x² - 12x = - 11
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + 36 = - 11 + 36
(x - 6)² = 25 ( take square root of both sides )
x - 6 = ±
= ± 5 ( add 6 to both sides )
x = 6 ± 5
Then
x = 6 - 5 = 1 ⇒ (1, 0 )
x = 6 + 5 = 11 ⇒ (11, 0 )
Answer:
9x+3.45
Step-by-step explanation:
Let's simplify step-by-step.
6x+3(x+1.15)
Distribute:
=6x+(3)(x)+(3)(1.15)
=6x+3x+3.45
Combine Like Terms:
=6x+3x+3.45
=(6x+3x)+(3.45)
=9x+3.45
Answer:
Step-by-step explanation:
In 60 minutes, the machine can sew 300 buttons. The machine sews 5 buttons a minute. 60 x 5 = 300