Answer:
C
Step-by-step explanation:
A: Perpendicular lines have 1 solution. A is not the answer.
B: If the lines intersect, there is one solution, not many.
C: The lines are the same or can be reduced to being the same. C is the answer.
D: The lines don't intersect means that the lines are parallel. There isn't a solution.
Whatever% of anything is just (whatever/100) * anything.
now, we know Trever makes $500 in salary and 2% on sales, let's say he sells "x" amount, how much is 2% of x? well (2/100) * x, or 0.02x.
Therefore Trever's earnings are 500 + 0.02x, his salary plus his commission.
to earn a total of 2,000, then 500 + 0.02x = 2000, thus
Answer: IX - 4I ≤ 4
Step-by-step explanation:
In the numer line we can see that our possible values of x are in the range:
0 ≤ x ≤ 8
And we want to find an absolute value equation such that this set is the set of possible solutions.
An example can be:
IX - 4I ≤ 4
To construct this, we first find the midpoint M of our set, in this case is 4.
Then we write:
Ix - MI ≤ IMI
Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.
So we can start with the full of possibilities and eliminate them one by one.
The full set is {0,1,2,3,4,5,6,7,8,9}.
Now we know that any prime greater than 2 is odd as otherwise it would have 2 as a factor, so we can eliminate all of these digits that would be an even number, leaving:
{1,3,5,7,9}
We also know that any prime greater than 5 cannot be a multiple of 5 and that all numbers with 5 in the digits are a multiple of 5, so we can eliminate 5.
{1,3,7,9}
We know that 11,13,17 and 19 are all primes, so we cannot eliminate any more of these, leaving the set:
{1,3,7,9} as our answer.
