Answer:
y = -(x + 5)² + 4
Step-by-step explanation:
The roots are -3 and -7, so:
y = a (x + 3) (x + 7)
Distribute and complete the square:
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4), so a = -1.
y = -(x + 5)² + 4
12Answer:
Step-by-step explanation:
Answer: Step-by-step explanation: We are given an exponential equation.We need to convert it into it's equivalent equation.Let us factor 4.4 = 2 × 2Therefore, 2 × 2 could be written as .Now, let us factor 64 in terms of 2's.64 = 2 × 2× 2× 2× 2× 2 = .Replacing 4 by and 64 by in original equation, we get Distributing 2 over (x+3), we get
Answer:
15 liters
Step-by-step explanation:
Given:
We need 5 liters of Yoda soda for 12 guest.
To find:
If we have 36 guest how many liters of Yoda soda we need.
Solution:
<u>By unitary method:</u>
For 12 guests, we need liters of Yoda soda = 5
For 1 guest, we need liters of Yoda soda = 
For 36 guests, we need liters of Yoda soda = 
Therefore, we need 15 liters of Yoda soda for 36 guests.
300 because
You have to multiply 81 times 100 and then divide by 27
