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 ).
The answer is 9
You divide by 1215 by 15 and the answer is 81
Then you find the square root of 81 and the answer is 9
If you look at the denominators, they all have a common number they can all multiply into: 24. If you multiply each number in the fraction so that the denominator equals 24, you get this:
1/6 x 4 = 4/24
1/4 x 6 = 6/24
3/8 x 3 = 6/24
Therefore, blue frosting (1/6) is used the least.
Hope this helps:
Answer:
B. There were 60 nano-related patents granted in 1991
Step-by-step explanation:
In the expression:
60⋅1.2^t
t is years after 1991, that is, in the year 1993, t = 2
60 is the value of the expression at t = 0, then it represents the amount of nano-related patents granted in 1991
Answer:
c. 11
Step-by-step explanation:
Bottom row: 6 cubes
middle row: 4 cubes
top row: 1 cube
11 cubes total.
