4+2x = x (x = student in smaller group)
4 + 2x + x = 28 (total # of students)
4+ 3x = 28
3x = 24
x = 8
8 students in the smaller group
4 + 2(8) = 20 students in the larger group
Answer:
x = - 2, x = 6
Step-by-step explanation:
The denominator of the rational expression cannot be zero as this would make the expression undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
Solve
- 3x² + 12x + 36 = 0 ( divide through by - 3 )
x² - 4x - 12 = 0 ← in standard form
(x - 6)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 2 = 0 ⇒ x = - 2
x = - 2 and x = 6 ← are the excluded values
The quadrants the point (4.-8) is in is the fourth quadrants
The measure of FHG is 64°.