Answer:
The vertex form is y = (x + 4)² - 13
The minimum value of the function is -13
Step-by-step explanation:
∵ y = x² + 8x + 3
∵ 8x ÷ 2 = 4x ⇒ (x) × (4)
∴ We need ⇒ x² + 8x + 16 to be completed square
∴ y = (x² + 8x + 16) - 16 + 3 ⇒ we add 16 and subtract 16
∴ y = (x + 4)² - 13 ⇒ vertex form
∵ The vertex form is (x - a)² + b
Where a is the x-coordinate of the minimum point and b is y-coordinate of the minimum point (b is the minimum value of the function)
∴ The minimum value is -13
To solve the equation, you need to isolate/get the variable "P" by itself in the equation:
P - 3 = -4 Add 3 on both sides to get "P" by itself
P - 3 + 3 = -4 + 3
P = -1
PROOF
P - 3 = -4 Plug in -1 for P
-1 - 3 = -4
-4 = -4
Answer:
6 mph
Step-by-step explanation:
Use formula
where
D = distance
r = rate
t = time
In your case,
D = 12 mi
<u>Dina:</u>
D = 12 mi
r = 8 mph
t = ?
So,
<u>Masha:</u>
D = 12 - 3 = 8 mi
r = ?
t = 1.5 hours
Then
