Answer:

Explanation:
Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial
Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it
Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial
We set x-2 to zero:

Now, we substitute 2 into the polynomial as follows:

There is a remainder of -28 and thus, the linear factor is not a factor of the binomial
Answer:
0.37 means that there is a 0.37 chance out of 1 or 37% chance that the player will be dealt a particular hand.
Step-by-step explanation:
Yes
if you play this card game 100 times, then you will be dealt this hand 100 * 0.37 = 37 times.
Answer:
The quotient of a number and 9 means n divided 9.
The first thing I would probably do is distribute (multiply) the -5/2 into the parenthesis:
= (-5/2)x + (-20/2)
Notice how I am not putting the x into the fraction. This is to make it easier to see the slope-intercept form.
Lets simplify the (-20/2) and then add 7 to both sides:
y - 7 = (-5/2)x - 10
y = (-5/2)x - 3
Your answer would then be:
y = (-5/2)x - 3
y = mx + b
Since it is now in the requested format.