Answer:
(- 1, 2)
Step-by-step explanation:
Given a quadratic in standard form y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
f(x) = x² + 2x + 3 ← is in standard form
with a = 1 and b = 2, hence
= - 
= - 1
Substitute x = - 1 into f(x) for corresponding value of y
f(- 1) = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2
vertex = (- 1, 2 )
Answer:
6) The median is 80
7) The 1st quartile is 60
8) The 3rd quartile is 100
9) The minimum value is 40
10) The maximum value is 110
Step-by-step explanation:
Line up where the points are
Answer: the bill for a hamburger is $0.7
the bill for a salad is $1.5
Step-by-step explanation:
Let x represent the bill for a hamburger.
Let y represent the bill for a salad.
The bill for five hamburgers and four salads is $9.50. This means that
5x + 4y = 9.5- - - - - - - - - - - - - - 1
The bill for four hamburgers and five salads is $10.30. This means that
4x + 5y = 10.3 - - - - - - - - - - - - - -2
Multiplying equation 1 by 4 and equation 2 by 5, it becomes
20x + 16y = 38
20x + 25y = 51.5
Subtracting, it becomes
- 9y = - 13.5
y = - 13.5/ - 9
y = 1.5
Substituting y = 1.5 into equation 1, it becomes
5x + 4(1.5) = 9.5
5x + 6 = 9.5
5x = 9.5 - 6 = 3.5
x = 3.5/5 = 0.7
Answer:
(-2,0)
Step-by-step explanation:
