3x² - 21
Factor 3 from both terms:
3 (x² - 7)
To me, that's as far as you should need to go. But if you want to get
completely carried away, you could go one step further, since you have
the difference of two squares:
3 (x + √7) (x - √7)
Of course, there's no end now, because the last binomial could be
considered another difference of two squares, so you'd have to
factor that too:
3 (x + √7) (√x + ⁴√7) (√x - ⁴√7)
but to me, this would be nonsense.
Answer:
For chess club:
y1 = 16 + 1*x where y1=total number of members after x months
For film club
y2 = 4 + 4*x where y2=total number of members after x months
y1 = y2 at
16 + x = 4 + 4x
3x = 12
x = 4
Therefore, after 4 months they the same number of members (equals 20 members, 16 + 1*4 or 4 + 4*4).
Convert to cylindrical coordinates:
Then 
is the set of points 
such that 
, 
, and 
or 
.
Now
Option D. 96 is the correct answer.
Explanation:
Let the higher grade be = x
Let the lower grade be = y
As given, The difference of the two grades is 16
or 
.... (1)
The sum of one-eighth of the higher grade and one-half of the lower grade is 52.
... (2)
Putting the value of x=16+y in equation (2)
As x=16+y
x=16+80 = 96
Hence, higher grade is 96.
