The total number of students who studied only two subjects is 13.
The given parameters:
- <em>Total number of students, n = 55 </em>
- <em>Number of physics students = 21</em>
- <em>Number of geography students = 24</em>
- <em>Number of economics students = 23</em>
- <em>Number of students for the 3 subjects, = x</em>
- <em>Number of students who studied non = 2x</em>
The number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;

Thus, the total number of students who studied only two subjects is 13.
Learn more about overlapping three sets here: brainly.com/question/2041029
Answer:

Step-by-step explanation:
To factor the expression
you need to know its roots.
First find the discriminant of this quadratic polynomial:

Then the roots of the expression
are

Now the factored form is

Answer:
option 2
Step-by-step explanation:
they have the same shape AND angle meaning they are more so similar than other options
Answer:
12x -y = -87
Step-by-step explanation:
You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-9 -3)/(-8 -(-7))(x -(-7)) +3
y = (-12/-1)(x +7) +3
y = 12x +84 +3
-12x +y = 87 . . . . . subtract the x-term
12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)
It’s 18x because 36 and 54 are both divisible by 18, and 18 can be divisible by 18 (making 1), resulting in 18 being the most common number between the numbers, whereas the ‘x’ is common between all 3 numbers and since the least amount of x is 1, the answer is just x without an exponent