Apage election results can hold r results. one polling location had 5r+15 results while the second had 3r-4 results write and simplify an expression that represents the total number of results at the two polling location

Total number of result at two polling location in a page election is represented by expression 8r + 11.

Solution:

Given that a page election result can hold r result.

Number of result at one polling location = 5r + 15  

Number of result at second polling location = 3r - 4

Need to write simplified expression for total number of results at two polling location.

Total number of results at two polling location = Number of result at one polling location + Number of result at second polling location

=> Total number of results at two polling location = (5r + 15) + (3r - 4) = 8r + 11  

Hence total number of result at two polling location is represented by expression 8r + 11.

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

cosine

step-by-step explanation: