the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x. Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set. if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times. This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
The answer is 52+7x I hope this helps
The polynomial will be a binomial as it contains 2 terms. Both 5x^9 and 17x^5.
Both of these are found in the function labelled as g(x).
X^2 + 3x - 4 = 6
x^2 + 3x - 10 = 0 (Now reverse FOIL)
(x + 5)(x - 2)(Now x will equal the opposites of your numbers)
x = -5
x = 2
Hope this helped!
Isolating the variable terms and dividing by 4, we have 
Taking the square root, we have 
