Finding the axis of symmetry.
1) Identify a, b, and c in the equation
f(x) = 4x² - 1 ⇒ a = 4 ; b = 0 ; c = -1
g(x) = x² - 8x + 5 ⇒ a = 1 ; b = -8 ; c = 5
h(x) = -3x² - 12x + 1 ⇒ a = -3 ; b = -12 ; c = 1
2) Formula of the axis of symmetry
x = -b/2a
f(x) ⇒ x = -0/2(4) = 0
g(x) ⇒ x = -(-8)/2(1) = 8/2 = 4
h(x) ⇒ x = -(-12)/2(-3) = 12/-6 = -2
Rank from least to greaters: -2, 0, 4 ⇒ h(x) ; f(x) ; g(x) CHOICE D
<span>4x+2y-6z-5y-1y
= </span><span>4x - 4y - 6z
hope it helps</span>
Answer:
Step-by-step explanation:
The given H(x) = √(2 - 2x^2) can be decomposed as follows: 2 - 2x^2 is g(x), the input to f(x), which in turn is f(x) = √x.
Thus, f(x) = √x is the first function. Here the input is simply x.
g(x) = 2 - 2x^2 is the second function. We use this function now as the input to f(x). These operations create the new function H(x) = (f°g)(x) = √(2 - 2x^2).
In summary:
f(x) = √x
g(x) = 2 - 2x^2
Answer:
x =
Step-by-step explanation:
AC² = AB² + BC²
BC² = 3² + x² = 9 + x²
AB² = 7² + x² = 49 + x²
But AC² = (7 + 3)² = 100
∴ 100 = 49 + x² + 9 + x²
2x² + 58 = 100
x² = 50 - 29 = 21
x =
your computer is cracked
Step-by-step explanation:
makes it hard to see here