Carmine buys 2 plates for $4 each. He also buys 12 bowls. Each bowl costs twice as much as each plate. The store is having a sal
2 answers:
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Answer:
see below
Step-by-step explanation:
some of your answers that you currently have are wrong, I'll note those mistakes below
- when factoring (ie 5x+15) only factor out things that can divide both numbers into a whole number ratio
5x+15 = 5(x+3), not (x+3)(x+5)
ie
we see that 10x can divide the numerator in a whole number ratio
= 10x(x+2), not (x+2)(x+10)
second mistake: the first binomial expansion is incorrect.
you have the expansion formula right, but you added terms wrong, go look at it again
3. x^2+3x+2/ x^2+5x+6
(x+1)(x+2)/(x+3)(x+2)
(x+1)/(x+3)
4. (x^2+6x+8)/(x^2-16)
(x+4)(x+2)/(x+4)(x-4)
(x+2)/(x-4)
5. we can't simplify that any more, x and y are different variables so therefore we cannot cross out stuff on numerator and denominator
6. (x^4y^6)^2
(x^4y^6)(x^4y^6) =
remember that (x^a)(x^b) = x^(a+b)
or remember that (x^a)^b = x^ab
9514 1404 393
Answer:
the multiplicity is 4
Step-by-step explanation:
The graph shows a root at x = -2 that has a multiplicity of 2. You know the multiplicity is even, because the graph does not cross the x-axis. The multiplicity is 2 because the general shape of the graph in that area matches that of a quadratic (parabola).
The multiplicity of the root at x=4 is also an even number, because the x-axis is not crossed. However, the graph is significantly flatter at that point (than at x=-2), meaning the multiplicity is greater than 2. It is at least 4.
When we draw a graph with a multiplicity of 6 at x=4, we find the ratio of the peaks near x=-4 and x=0 to be different from that shown here. The suggests that the multiplicity of the root at x=4 is exactly 4.
Answer:
The probability that each player will receive three picture cards = 0.0324
Step-by-step explanation:
As given,
A deck of 52 cards contains 12 picture cards
Remaining card = 52 - 12 = 40
So,
Total number of ways in which 12 picture card is distributed =
Now,
The Total number of ways in which Remaining cards are distributed =
So,
Total number of ways of getting 3 picture card and remaining card = ×
=
Now,
Total number of ways to distribute 52 cards so that each people get 13 card =
∴ The probability =
= ×
= ×
= ×
= ×
= 0.0324
∴ we get
The probability that each player will receive three picture cards = 0.0324