y = 2x^2 - 12x + 46
Compare your equation with the standard form of the equation:
y = ax^2 + bx + c
For your equation, a = 2, b = -12, c = 46.
The vertex has x-coordinate -b/(2a).
The x-coordinate of the vertex is: -(-12)/(2 * 2) = 12/4 = 3
Now we plug in x = 3 into the function to find the y-coordinate of the vertex.
y = 2(3^2) - 12(3) + 46
y = 2(9) - 36 + 46
y = 18 - 36 + 46
y = 28
The vertex is (3, 28)
In antiquity, Pythagoras was credited with many mathematical and scientific discoveries, including the Pythagorean theorem, Pythagorean tuning, the five regular solids, the Theory of Proportions, the sphericity of the Earth, and the identity of the morning and evening stars as the planet Venus.
Answer:
Step-by-step explanation:
Factorise the denominators of both fractions
x² - 9 and x² - 4 are both differences of squares and factor as
x² - 9 = (x - 3)(x + 3) and x² - 4 = (x - 2)(x + 2), thus express as
× 
Cancel the factors (x + 3) and (x + 2) from the numerators/denominators of both fractions leaving
Answer:
7 games
Step-by-step explanation:
22 / 3 =
7.33
Mckenzie can buy 7 games
Answer:
1 to the -2 power
Step-by-step explanation:
