Answer:
See explanations below
Explanation:
Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)
The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75
x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5
To get the minimum, we will use the formula;
c - b^2/4a
The equation of the curve is expressed as;
(x-0)(x-2.5)
= x (x-2.5)
= x^2 - 2.5x
a = 1, b = -2.5, c = 0
minimum = 0 - (-2.5)^2/4(1)
minimum = -6.25/4
minimum = -1.5625
Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5
y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.
Answer:
A, B and C
Step-by-step explanation:
To determine which ordered pairs are solutions, substitute the x and y coordinates into the system of equations and if the value equals the right side then the ordered pair is a solution
A (6 , 3 )
(3 × 6) - 3 = 18 - 3 = 15 ← correct, and
(6 × 6) - (2 × 3) = 36 - 6 = 30 ← correct
Hence (6, 3 ) is a solution
B (7, 6 )
(3 × 7) - 6 = 21 - 6 = 15 ← correct, and
(6 × 7) - (2 × 6) = 42 - 12 = 30 ← correct
Hence (7, 6 ) is a solution
C (8, 9 )
(3 × 8) - 9 = 24 - 9 = 15 ← correct, and
(6 × 8) - (2 × 9) = 48 - 18 = 30 ← correct
Hence (8, 9 ) is a solution
Answer:
x=(10-k)÷6
Step-by-step explanation:
6x=10-k
x=(10-k)÷6
Answer:
Step-by-step explanation:
8x6=48
Answer: 48
