1.) c. x^2−2x+4−14/x+2
2.) The remainder is 1/2x-1. When you divide 8x^2+4x−3 by 2x-1, your answer is 4x+4 remainder 1/2x-1.
3.)The remainder is 6/(x+3) because when you divide 7x^2+15x−12 by x+3, you get 7x-6 remainder 6/x+3
The work is attached if you need it, sorry for the messiness!
Answer:
Truth value of ~(~p) is same as the truth value of p.
Step-by-step explanation:
For any statement p the truth table for p, ~p and ~(~p) will be as the figure attached. In this table we know that If truth value for p is true then ~p will be false and ~(~p) will be true which is same truth value as truth value of p.
Now if the truth value of any statement is false then truth value for ~p will be true and for ~(~p) will be false which is again similar to the statement p.
Hence truth value of any statement p is similar to the truth value of ~(~p).
Answer:
A x < 3
Step-by-step explanation:
5(9-x) < 10*3
5(9-x) < 30
9-x < 30/5
9-x < 6
-x < 6 - 9
-x < -3
x < 3
Answer:
a) Find attached the completed Venn diagram (2nd diagram)
b) 25
c) 46
A related Question found at brainly (ID 16765143):
A group of 80 students in a college are surveyed. They are asked which of Spanish or French they are studying. 71 of the students surveyed studies at least one of the two languages.
a) Complete the Venn diagram.
b) How many students study only french?
c) How many students study Spanish?
Step-by-step explanation:
Find attached the Venn diagram (1st diagram)
a) Total number of students in college = 80
Since 71 out of the 80 students surveyed studies at least one of the two languages, the number of students that studied neither French nor Spanish = 80-71 = 9
From the venn diagram:
Number of students that study Spanish = 14
Number of students that study French = 25
We need to determine if the values are for Spanish only and French only respectively or for at least Spanish and French respectively.
Estimated value for the middle term = 80-(14+25+9) = 32
From the above calculation, the number of students that study both Spanish and French is 32 and it is more than each set value. This implies the value given in the Venn diagram is for Spanish only and French only respectively.
Let number of students that study both Spanish and French = x
Spanish only = 14
French only = 25
the number of students that studied neither French nor Spanish = 9
Total:
14 + 25 + x + 9 = 80
48 + x = 80
x = Number of students that study both Spanish and French = 32
b) French only = 25
c) Number of students that study Spanish = students that study at least Spanish
= 14+x = 14+32
Number of students that study Spanish = 46
