Answer:
3
lazy approach was with a graphic plotting program, but you can also calculate it. with the pq-formula.
p = -6
q = 9
x = -p/2 +- sqrt( (p/2)² - q)
x = -(-6)/2 +- sqrt ( (-6/2)² - 9)
x = 3 +- sqrt(9-9)
x = 3 +- sqrt(0)
x = 3 +- 0
x = 3
You find the x coordinates using x = -b/2a = -6/2(-1) = 3
Substitute 3 in the equation and find y
y = -(3^2) + 6(3) - 12 = -9 + 18 - 12 = -3
Vertex (3,-3)
Answer:
Step-by-step explanation:
Given point (0, 1) and the slope m = 2
<u>Use point- slope form to find the equation of the line:</u>
- y - y₁ = m(x - x₁)
- y - 1 = 2(x - 0)
- y - 1 = 2x
- y = 2x + 1
Answer:
C
Step-by-step explanation:
Answer:
The number of hamburgers is 109.
Step-by-step explanation:
Let h = number of hamburgers
Let c = number of cheeseburgers
The total number sold gives us the equation below.
h + c = 327
"The number of cheeseburgers sold was two times the number of hamburgers sold.
This gives us the equation
c = 2h
Now we substitute c with 2h in the first equation and solve for h.
h + 2h = 327
3h = 327
h = 109
The number of hamburgers is 109.