1999
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Answer:
Step-by-step explanation:
I've enclosed a graph to show you that there is one solution.
-4x + 3y = - 12
<u>- 2x + 3y = - 18</u><em><u> </u></em><em> </em>Subtract
-2x = 6 Divide by - 2
-2x/-2 = 6/-2
x = - 3
- 4x + 3y = - 12
-4(-3) + 3y = - 12
12 + 3y = - 12
3y = - 12 - 12
3y = - 24
3y/3 = - 24/3
y = - 8
Which is exactly what the graph shows.
You can tell immediately that this has 1 or more solutions just by looking at the number in front of x and y in each each equation.
It's always a good idea to graph a question like this one. Desmos is a pretty good tool to use if you don't have a graphing calculator.
The y's are the same so you are 1/2 way home in saying what you did.
The x's are different so that means you have at least 1 solution.
Answer:
Statement A - True.
Statement B - False.
Statement C - True.
Statement D - False.
Step-by-step explanation:
(a) A sequence is convergent if and only if all of its subsequences are convergent - this statement is correct.
(b) A sequence is bounded if and only if all of its subsequences are bounded - this statement is incorrect.
(c) A sequence is monotonic if and only if all of its subsequences are monotonic - this statement is correct.
(d) A sequence is divergent if and only if all of its subsequences are divergent - this statement is incorrect.
2 aces can be selected from 4 aces by 4C2 = 4!/2!(4 - 2)! =4!/ (2! x 2!) = (4 x 3 x 2 x 1)/(2 x 1 x 2 x 1) = 6 ways
3 kings can be selected from 4 kings by 4C3 = 4!/3!(4 - 3)! =4!/ (3! x 1!) = (4 x 3 x 2 x 1)/(3 x 2 x 1 x 1) = 4 ways
Therefore, the number of <span>5 card poker hands consisting of 2 aces and 3 kings possible with an ordinary 52 card deck is 6 x 4 = 24</span>
