ANSWER
The restrictions are

EXPLANATION
We were given the rational function,

The function is defined for all values of a, except

This has become a quadratic trinomial, so we need to split the middle term.
We do that by multiplying the coefficient of
which is 5 by the constant term which is 3. This gives us 15.
The factors of 15 that adds up to 16 are 1 and 15.
We use these factors to split the middle term.

We now factor to get,

We factor further to get,

This implies that,

This gives

These are the restrictions.
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
There are 11 numbers on cards.
6 cards contain even numbers.
Answer: p(even) = 6/11
There is only one card with a 7. After the first card is picked and returned, there are 11 cards in the bag again.
p(even then 7) = p(even) * p(7) = 6/11 * 1/11 = 6/121
Answer: p(even then 7) = 6/121
Answer:
<u>r=6</u>
Step-by-step explanation:
3 = r/2
6 = r
Answer:
The constant term is 6
The x³ term has a coeficient of 12
The resulting polynomial has degree 4
Answer:
m=45 degrees
n=15 degrees
Step-by-step explanation:
m=45 degrees because other 2 angles in it's triangle =90+45=135 degrees
180 degrees in any triangle so m=180-135=45 degrees.
m+n=60 degrees so n=60-45=15 degrees