What are the solutions to the quadratic equation (5y + 6)2 = 24?
y =
-6+2/6
5
and y =
-6-2/6
5
y =
-6+2V6 and y = 6-216
y= -4/6 and y = -876
AVO
5
y =
and y =
8/6
5

see explanation

Step-by-step explanation:

Given

(5y + 6)² = 24 ( take the square root of both sides )

5y + 6 = ± = ± 2 ( subtract 6 from both sides )

5y = - 6 ± 2 ( divide both sides by 5 )

y = and y =

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