Step-by-step explanation:
the max. value is when the smaller set (A) is completely contained in the larger set (B).
then n(A n B) is n(A) = 50.
the set intersection between A and B cannot get bigger than that. or A gets bigger ...
after all, the intersection means it is a set of all elements that exist in BOTH sets.
but then there must be other elements besides A and B in the universal set too, because n(universal set) = 96, and n(A u B) would be only 60.
the min. value could be the empty set or 0. but because n(universal set) = 96, and n(A) + n(B) = 110 and larger than 96, it means that there have to be some shared elements. at least 110 - 96 = 14 elements.
in this case there cannot be other elements in the universal set than A and B. and n(universal set) = n(AuB) = 96.
If you let x represent the number of free throws.
let y represent the number of two-point field goal.
let z represent the number of three-point shots made.
Then the correct system of linear equations is as follows:
x + 2y + 3z = 29 (The total number of points scored is 29.)
z = 3x - 29 (The number of 3-pointers was 29 less than 3 times the number of free throws.)
2y = z + 15 (Twice the number of 2-point shots made was 15 more than the number of 3-pointers.)
Solution:
This basketball player scored 10 points via free throws (10 at 1 point each), 16 points via 8 two-point shots made, and 3 points via 1 three-point shots made. So, in the choice its letter D.
The value of 
is 2.
Solution:
Given expression is .
<u>To evaluate the expression:</u>
36 can be written as 6².
Using log rule: 
Using log rule: 
so that 
= 2(1)
= 2
Hence the value of is 2.
Answer:
$16,875
Step-by-step explanation:
so we must take all of those to get how much fencing we need in total so we add all of those numbers leaving us with 1875 ft of fencing we need.
so if fencing costs $27 per yard we need to change the units
so there are 3 feet per yard so we divide 1875 by 3 leaving us with 625 yards of fencing
so now we multiply the 625 yards of fencing by the $27 per yard leaving us with $16,875 in total to spend for this farmer to fence his pasture for the horses
hope this helps! :))
