The graph that has an axis of symmetry at x = 3 is f(x) = x2 – 6x – 1.
You can find the axis of symmetry by using the equation to find the x value of the vertex. The x value of the vertex is always the axis of symmetry in a quadratic graph. The equation is below.
x = -b/2a
In this equation, a is the coefficient of x^2 and b is the coefficient of x. If we use the numbers from the last equation in your list, a = 1, b = -6.
x = -b/2a
x = -(-6)/2(1)
x = 6/2
x = 3
80 divided into 4356 should be around 48.94
The equation would be y=3x+7
When x gets large, you can ignore everything except the highest-degree terms of the numerator and denominator. Effectively, you want the value of
-2x/x
= -2
The horizontal asymptote is -2.
Answer:
see explanation
Step-by-step explanation:
let w represent the width then length = w + 7
The perimeter of the rectangle = 2w + 2(w + 7) = 2w + 2w + 14 = 4w + 14
The perimeter is given as 54 m, thus
4w + 14 = 54 ( subtract 14 from both sides )
4w = 40 ( divide both sides by 4 )
w = 10
Thus
width of playground = w = 10 m
length of playground = w + 7 = 10 + 7 = 17 m