Answer:
A. E={
and 
is a multiple of 8}
Step-by-step explanation:
Let represent the set of natural numbers. Then we can write;
.
The set of all natural numbers that are multiples of 8 is then written as;
and is a multiple of 8.
E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;
E={ and is a multiple of 8}
The correct choice is A
Answer:
x = 5
Step-by-step explanation:
You want to find x such that ...
x^2 +(x +1)^2 = 61
2x^2 +2x -60 = 0 . . . . . simplify, subtract 61
x^2 +x -30 = 0 . . . . . . . divide by 2
(x +6)(x -5) = 0 . . . . . . . . factor; solutions will make the factors be zero.
The relevant solution is x = 5.
Answer:
$460.20
Step-by-step explanation:
499*15% = 74.85 (total discount price)
499-74.85 = 424.15 (deduct discount from original price)
424.15*8.5% = 36.05275 (total tax from price)
424.15+36.05275 = 460.20275 (add tax to discounted price)
Answer:
189
Step-by-step explanation:
To determine whether the statement is true or false, we need to calculate for the distance of the two points. To do this, we can use the pythagorean theorem as follows:
d = √[(y2-y1)^2 + (x2-x1)^2]
d = √[(7-1)^2 + (4-1)^2]
d = √[(6)^2 + (3)^2]
d = 2√13 = 7.21
Therefore, the statement is false.
