To receive a C grade, a student must average more than 77 but less than or equal to 85. If Noah received a C in the course and had five grades of 73, 85, 75, 69, and 82 before taking the final exam, what were the possible grades for his final if there were 100 points possible? (Assume all six grades are weighted equally and let x
represent the unknown score.)

9514 1404 393

  78 < x ≤ 100

Step-by-step explanation:

The course final grade will be the average of 6 scores. We want that average to be in the range 77 to 85.

  course average = (73 +85 +75 +69 +82 +x)/6 = (384 +x)/6 = 64 +x/6

The desired range is ...

  77 < 64 +x/6 ≤ 85

  13 < x/6 ≤ 21

  78 < x ≤ 126

The maximum final exam score is 100, so possible grades are ...

  78 < x ≤ 100

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is