The vertex form of the equation is:
y = a ( x - h )² + k
- 81 = a ( 0 - 6 )² + 27
- 81 = 36 a + 27
- 108 = 36 a
a = - 108 : 36
a = - 3
y = - 3 ( x - 6 )² + 27
y = - 3 ( x² - 12 x + 36 ) + 27
y = - 3 x² + 36 x - 108 + 27
y = - 3 x² + 36 x - 81
y = - 3 ( x² - 12 x + 27 )
x² - 12 x + 27 = 0
x² - 9 x - 3 x + 27 = 0
x ( x - 9 ) - 3 ( x - 9 ) = 0
( x - 9 ) ( x - 3 ) = 0
x 1 = 3, x 2 = 9
Answer:
The x-intercepts are ( 3, 0 ) and ( 9, 0 ).
-3 and 5..................
Question 1
well the is a 1:4 Faculty:trainee ratio
if there are 2:20, that would be a 1:10
you just need to find 1/4th of 20 and thats the total
20/4=5
You need five faculty total so
YOU NEED 3 MORE
Question 2
600 pretzels/10 minutes
?pretzels/52 minutes
600x52/10=3120
Question 3
700 people/ 2 tons
20,850,000/ ? tons
20,850,000 x 2 / 700= <span>59,571.4285714 OR about 60,000 tons</span>
The correct answer is letter B