Answer:
see below
Step-by-step explanation:
If (x+5) is a factor of p(x), then the value x=-5 will make that factor be zero. The product p(x) of which it is a part will also be zero, so p(-5) = 0.
Since p(-5) = 0 at x=-5, there will be an x-intercept at x=-5.
Dividing something by a factor of that thing will always give a remainder of zero. So, p(x)/(x+5) has a remainder of 0.
We can find the number of extra clubs in the deck from the given probability, since the probability of drawing a diamond and a club is

but this would imply that

, which suggests we're taking 4 clubs out of the original deck and contradicts the problem statement that there are "too many clubs".
Perhaps the question is providing the probability of drawing a diamond, THEN a club, or vice versa. In that case, we have

and solving gives

, which makes more sense. Then the number of extra spades in the deck must be 2.
Answer: Okay the numbers you put was confusing but I think I got it.
42÷6=x
Step-by-step explanation:if 6 can sit a a table then dividing the number of people by 6 gives the answer.
Answer:
1)
Y-intercept: -3
Slope: 2
Equation: y = 2x - 3
Step-by-step explanation:
I just answered one since it was only for 5 points. :)
Answer:
1. d 2. a 3. d 4. a 5. a
Step-by-step explanation:
For 1, d is negative because, if there an even number of negatives, the answer will be positive. a. would have been correct, but you multiply that one by 0. 0 is not negative, so the answer has to be d.
2. is -21. You can multiply 3 times seven then make it negative, or simply add -7 together 3 times.
3. is d because the two negatives cancel each other out. Even numbers of negatives cancel each other out. therefore, 17 times 6 is 102.
4. -120 is the answer because there are 3 negatives. That is an odd number, so we know our answer is negative. -5 times -3 is 15, and 15 times -8 is -120.
5. is a because -1 times 4 is -4, then -4 times -9 is 36. 36 times -3 is then -108.