I am writing answers directly.
<h3>1. 5×5=

</h3><h3>2. -5×-5×-5×-5 =

</h3><h3 /><h3>3. 2×2×2=

</h3><h3>4. n×n×n×n×n×n=

</h3>
In general the binomial expansion is

So in our case, because we want ascending powers of x we'll write,

We need to calculate the binomial coefficients:






These require you solve for y. Do that by subtracting the x-term, then dividing by the y-coefficient.
5. 3y = 7x -9
y = (7/3)x -3
6. 6y = -2x -3
y = (-2/6)x -3/6
y = (-1/3)x -1/2
7. 8y = 2x + 12
y = (1/4)x +3/2
Answer:
(a) 
(b) 
(c) At 4 weeks, when both will be seeing an average of 3 hours of TV.
Step-by-step explanation:
a) For the students, they start at X(0)=5 h and ΔX=-0.5 h/week.
We can write

b) For the professors, they start at X(0)=1 h and ΔX=+0.5 h/week.
We can write

c) The seew which they will be watching the same amount of hours will be the 4th week.

The amount of hours will be

The slope is:

the GRAPH is shown below⬆⬆⬆⬆⬆⬆⬆⬆
midpoint is (0,-1) {see graph on the right}