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 ).
61 is the composite Number your welcome
Answer:
the player will win
Step-by-step explanation:
the team wont win
Answer:
16/45
Step-by-step explanation:
Step 1: When dividing fractions, use “KFC”. It means Keep the first fraction, Flip the second one, and
Change it to multiplication
-4/20 ÷ -9/16 → -4/20 ∙ 16/-9
Step 2: Reduce any fractions if necessary, it makes multiplying them easier and you will have to reduce anyway at the end. It’s easier arithmetic to reduce at this step. The first fraction reduces because both the numerator and denominator are divisible by 4.
-1/5 ∙ 16/-9
Step 3: Multiply numerators and denominators together to get one fraction
(-16)/(-45)
Step 4: Cancel out the negatives, a negative divided by a negative is a positive. Our final answer is
16/45
Answer:
36 cups
Step-by-step explanation:
every 20 minutes you make 12 cups. 20×3=60, which is 1 hour. You will meed to make 3 pots of coffee that are 12 cups each, 3×12=36
