Answer:
10
Step-by-step explanation:
The number of tiles in the design is 1 + 2 + 3 + ...
We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:
S = n/2 (2a₁ + d (n − 1))
Given that a₁ = 1 and d = 1:
S = n/2 (2(1) + n − 1)
S = n/2 (n + 1)
Since S ≤ 60:
n/2 (n + 1) ≤ 60
n (n + 1) ≤ 120
n must be an integer, so from trial and error:
n ≤ 10
Mr. Tong should use 10 tiles in the final row to use the most tiles possible.
Answer:

Step-by-step explanation:
The range is the spread of the y-values (minimum to maximum distance travelled).
The graph of your function is a hyperbola shifted two units left and three units up from the origin.
There is a vertical asymptote at x = -2, so y does not exist when x = -2. However,

Since the limit from either side is the same,

The graph below shows the asymptotes of your function.
Thus. y can take any value except 3.
In set builder notation, the range is

A) (0,1), (1,-2), (-1,4), (2,-5)
b) (0,4), (-1,2), (-2,0), (1,6)
c) (-2,-7), (-1, -7), (0,-7), (1, -7)
4x + 7x - 10x - 10 + 14 + 2
x + 6 is the simplified version of the equation.