Answer:
a. 
Step-by-step explanation:
The given equation is;

To solve by the x-intercept method we need to graph the corresponding function using a graphing calculator or software.
The corresponding function is

The solution to
is where the graph touches the x-axis.
We can see from the graph that; the x-intercepts are;
(-1,0),(3,0) and (6,0).
Therefore the real solutions are:

First we try to frame the equation between the sale price and the final cost.
Let us consider, the price to be x and the final cost to be y, since the final cost is 75% of the price, we have the below equation
y = 0.75x
This is of the form of straight line equation y = mx +c where c =0 and m = 0.75
This means the function is linear since it satisfies a straight line equation.
So, we can eliminate options (3) and (4)
Now, the function is not a continuous one because the function is has definite value which is 0.75x and this make the function discrete. Hence option (2) is eliminated
Therefore we are left with option (1) which is the answer
Answer is (1) It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant
Answer:
Colin's mean score = 17.10
The new mean is 18.00
Step-by-step explanation:
Given scores: 31, 10, 26, 16, 28, 31, 9, 11, 8, 1
number of terms: 10
mean is calculated by given formula = sum of all the data set/ number of terms in the data set.
mean for the 10 scores = (31+ 10+ 26+ 16+ 28+ 31+ 9+ 11+ 8+ 1 )/10
= 171/10 = 17.1
Colin's mean score = 17.10
____________________________________________
runs scored by Colin in 11th match = 27
number of terms: 11
new mean = new sum /number of terms
new mean = (old sum score + 27)/11 = (171+27)/11
new mean = 198/11 = 18
The new mean is 18.00