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:
75
Step-by-step explanation:
Scores for his first tests were 65, 67, 69.
Rate of change: +2
y=2x+63; 63 is the 0th test he took, his first test was 65, so 65-2=63. 2x is the rate of change, his tests scores increase by 2 each time.
x=6, 6th test score
y=2(6)+63
y=12+63
y=75
So, on his 6th test he will get a score of 75
Answer:
- 6, 9 and 27
Step-by-step explanation:
Substitute a = - 3 into the expressions and evaluate
(a)
2a = 2(- 3) = - 6
(b)
a² = (- 3)² = 9
(c)
3a² = 3(- 3)² = 3(9) = 27
Answer:
Sale price = $276
Step-by-step explanation:
Sale price = original price - discount
Discount = original price * percent off
Discount = 345*.2 = 69
The discount is 69 dollars
Sale price = 345- 69
= 276
