The numbers 3, 4, 5, and 7 are written on separate pieces of paper and put into a hat. Two pieces of paper are drawn at the same time and the product of the numbers is recorded. Find the sample space.

the final sample space is { 12,15,20,21,28,35}

Step-by-step explanation:

the sample space is the set of possible outcomes of the experiment , then the possible products are

3*7 = 21

3*5 = 15

3*4 = 12

4*7 = 28

4*5 = 20

5*7 = 35

since the product of 2 numbers is commutative, then we do not count the other possible combinations

therefore the final sample space is { 12,15,20,21,28,35}

Note:

to check that we have all the products , the possible combinations are

C(4,2)= 4!/(4-2)!*2!= 3*2*1 = 6

since we have considered 6 products , we are sure that our result is correct

answer: what do you mean

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1