Auniversity student earned grades 84, 78, 84, and 72 on his four regular tests. he earned a grade of 78 on the final exam and 86 on his class projects. his combined homework grade was 87. the four regular tests count for 40% of the final grade, the final exam counts for 30%, the project counts for 10%, and the homework counts for 20%. what is his weighted mean grade? round to one decimal place.

His weighted mean grade is 81.2.

Step-by-step explanation:

His weighed mean grade is given by the following formula:

We have that RT is the mean of the regular tests. The student earned grades 84, 78, 84, and 72 on his four regular tests. So the mean is

F is the grade on the final exam. He earned a grade of 78 on the final exam, so

P is the grade of the project. So .

H is the homework grade, so .

So

His weighted mean grade is 81.2.

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.