Answer:
The vertex is (0, -5) and the axis of symmetry is x = 0.
Step-by-step explanation:
In order to find the axis of symmetry, we look for the x value of the vertex. We can find this using the equation -b/2a, in which a is equal to the coefficient of the x^2 term and b is the coefficient of the x term.
x = -b/2a
x = 0/2(1)
x = 0/2
x = 0
So the axis of symmetry is 0 as is the x value of the vertex. Now we can find the y value by plugging in the x value into the equation.
f(x) = x^2 - 5
f(x) = 0^2 - 5
f(x) = 0 -5
f(x) = -5
This gives us a vertex of (0,-5)
Answer:
Depending on what the equation is,
x = (b (d + f)) / c
or
x = (d (b - f)) / c
Step-by-step explanation:
cx / d + f = b
If f is in the denominator (cx / (d + f) = b)
cx = b (d + f)
x = (b (d + f)) / c
If f is added after the fraction (cx/(d) + f = b)
cx/d = b - f
cx = d(b - f)
x = (d (b - f)) / c
Answer:
The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube. We have 96 = 6a2 → a2 = 16, so that's the area of one face of the cube.
Hope this helps!!!!!!!!
Answer:
a) 25/324
b) 1/4
c) 1/3
Step-by-step explanation:
a) [⅓A + ⅓B]² = (⅓)²[A + B]²
= (1/9) [½ + ⅓]²
= (1/9)(⅚)²
= (1/9)(25/36)
= 25/324
b) ½ × ½ = ¼
c) (½ × ⅓) + (⅓ × ½) = 2 × ⅙ = ⅓
Answer:
Step-by-step explanation:
x is the amount of hours it will take. Since he pays $30 per hour, your answer would be 30x + 525