Hi, you've asked an incomplete question. Here are the remaining questions:
a) Describe what each region in the Venn diagram represents.
Region I: In drama club, not in step team.
Region II: In both clubs.
Region III: In step team not in drama.
Region IV: Not in either club.
b) How many students were in only one of the two clubs?
c) How many students were in the drama club or in the step team?
d) How many students were surveyed?
Attached is the Venn diagram depicting the regions.
Explanation:
b) By adding the number of students that like drama club and those that like step club we can derive the answer: 34 + 27 = 61.
c) By adding 34 + 27 + those that like both (14) = 75.
d) The total number of students surveyed is gotten by summing any number in attached the diagram: 34 + 27 + 14 + 13 = 88.
X must be increased by 6 to get its value to be 0. Then the corresponding change in y will be (-2/3)*6 = -4. That value added to -5 makes it -9.
The y-intercept will be -9.
He has 19 folders in all. 8+6+5=19
H + m = 480
h = 2m
2m + m = 480
3m = 480
m = 480/3
m = 160 <=== there were 160 math books
h = 2m
h = 2(160)
h = 320 <=== there were 320 history books
Answer: g(f(4))=9
Step-by-step explanation:
To find g(f(4)), you first find f(4). Then, you plug it into g(x).
f(4)=4-7 [subtract]
f(4)=-3
Now, we know f(4) into g(x).
g(f(4))=(-3)² [exponent]
g(f(4))=9
Now, we know that g(f(4))=9.