Answer:
After 4 days, the number of people attending both conferences be the same.
Step-by-step explanation:
We are given the following in the question:
Maths conference:
Number of people already signed = 7
Number of people who sign up each day = 2
Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

History conference:
Number of people already signed =11
Number of people who sign up each day = 1
Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

Both conference will have same number of people when

Thus, after 4 days, the number of people attending both conferences be the same.
Answer:
6.0
Step-by-step explanation:
Answer: The simplest form of a fraction is when the numerator and denominator of the fraction are relatively prime, which means that the numerator and denominator have no common factor.
Answer:
triangle: 5x-8
square: 4x+8
Step-by-step explanation:
triangle: 2x + 2x + x -8
combine like terms
= 5x-8
square: x + 2 + x + 2 + x + 2 + x +2
combine like terms
= 4x + 8
You can figure the line for each pair of points, or you can try the points in the equation you have and see which are on the line.
First answer: x=1, y=-5×1 +4 = -1 . . . not 9. (1, 9) is not a point on the line
Second answer: x=2, y=-5×2 +4 = -6 . . . not -14. (2, 14) is not a point on the line
Third answer: (see the calculation for the first answer) . . . -1 ≠ 1. (1, 1) is not a point on the line
Fourth answer: (see the calculation for the second answer) We know that (2, -6) is on the given line. Checking (4, -16), we find it is as well.
The appropriate choice is the 4th answer:
... a line passing through the points (2, -6) and (4, -16)