There are 60 students studying sciences (biology chemistry and physics) 7 study biology, chemistry and physics. 12 study biology and chemistry. 15 study chemisty and physics. 35 study biology 32 study physics. complete the venn diagram.

Step-by-step explanation:

Draw a three-ring Venn diagram.

7 students study all three subjects, where the three circles overlap.

12 students study biology and chemistry, which includes the 7 who also study physics.  So there are 5 who study biology and chemistry but not physics.

Similarly, 15 students study biology and physics, which includes the 7 who also study chemistry.  So there are 8 who study biology and physics but not chemistry.

And, 20 students study chemistry and physics, which includes the 7 who also study biology.  So there are 13 who study chemistry and physics but not biology.

35 students study biology, which includes the 5 who study chemistry, the 8 who study physics, and the 7 who study both chemistry and physics.  Therefore, there are 15 students who study only biology.

Similarly, 32 students study physics, which includes the 8 who study biology, the 13 who study chemistry, and the 7 who study both biology and chemistry.  Therefore, there are 4 students who study only physics.

Since there's a total of 60 students, there must be 8 students who study only chemistry.

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph