Simplify the expression below.

(12s4−6s2+4s)+(6s4−4s+27)−(4s4+s2+1 2)

=14s4−7s2+15

Step-by-step explanation:

Steps:

1: Distribute the Negative Sign

=12s4−6s2+4s+6s4−4s+27+−1(4s4+s2+12)

=12s4+−6s2+4s+6s4+−4s+27+−1(4s4)+−1s2+(−1)(12)

=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12

2: Combine Like Terms

=12s4+−6s2+4s+6s4+−4s+27+−4s4+−s2+−12

=(12s4+6s4+−4s4)+(−6s2+−s2)+(4s+−4s)+(27+−12)

=14s4+−7s2+15

=14s4−7s2+15

Hope this helps.

60°

step-by-step explanation:

the measure angle of c in an isosceles triangle abc is 60° because in isosceles triangle,the measures of all the angles is 60°.

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