What is the vertex and the equation of the axis of symmetry of the graph of y=x^2-6x-7

a. vertex: (–16, 3)
a. o.s: x = –16

b. vertex: (–3, 20)
a. o.s: x = –3

c. vertex: (3,–16)
a. o.s: x = 3

d. vertex: (20, –3)
a. o.s: x = 20

Option C is correct

Vertex: (3, -16) and axis of symmetry is x = 3

Step-by-step explanation:

The axis of symmetry for a parabolic general equation is given by:

           ....[1]

Vertex of the equation is:

As per the statement:

The graph of the equation is:

         ....[2]

On comparing with general parabolic equation i.e   we have;

a = 1, b = -6 and c = -7

By [1] we have;

Substitute the given values we have;

Simplify:

x = 3

Substitute the value  of x= 3 in [2] we have;

Therefore, the vertex of the given equation is: (3, -16) and axis of symmetry is x = 3

move it to the other side

step-by-step explanation:

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages