Answer:
option A) that is 20a^3 b^3
Step-by-step explanation:
Given in the question the equation,
(a+b)^6
Formula for binomial expansion up to 4th term of (a+b)^6)
1st term 2nd term 3rd term 4th term
6C0 (a)^6(b)^0 + 6C1 (a)^5(b)^1 + 6C2 (a)^4(b)^2 + 6C3 (a)^3(b)^3 + ....
Hence, the 4th term in the binomial expansion of (a+b)^6 = 6C3 (a)^3(b)^3
= 20 (a)^3(b)^3
Answer:
be the second player, and always leave a multiple of 3 balloons
Step-by-step explanation:
In order to win, a player must force the other player to leave one or two balloons. To do that, the winning player must leave one more balloon than the maximum number that can be popped. That is, the winner will be the player who leaves 3 balloons,
Working backward, we find that the winner must leave a multiple of 3 after each turn. Since the starting number is a multiple of 3, the first player must lose if the second player plays optimally.
The winning strategy is ...
- be the second player
- always leave a multiple of 3 balloons.
Answer:
75% of the original paper’s size.
Step-by-step explanation:
Let’s say that the original size was 10 inches.
You then increase it by 50%. It is now 15 inches.
Now, you decrease it by 50%. 50% of 15 is 7.5. So, the paper is now 7.5 inches.
7.5 inches is 75% of the original paper size.
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
16.92
Step-by-step explanation:
94*.18=16.92
The graph of the given system of inequalities can be seen at the end of the answer.
<h3 /><h3>
How to get the graph of the system of inequalities?</h3>
Here we have the system of inequalities:
x + 3y > -3
y < 2x + 1
first, we can write both of these in the form of a line equation in the slope-intercept form.
y > (-3 - x)/3 = -1 - (1/3)*x
y < 2x + 1.
To graph this, we first need to draw the two lines as dashed lines (because the points on the lines are not solutions).
Then for the line:
y = -(1/3)*x - 1 we need to shade the region above the line (because the symbol > is used).
For the line:
y = 2x + 1
We need to shade the region below the line, because the symbol used is <.
Then the graph of the system of inequalities is the one you can see below. The solutions of the system are the ones where the two shaded regions intercept.
If you want to learn more about systems of inequalities:
brainly.com/question/9774970
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