Answer:
(5, - 2)
Step-by-step explanation:
2x+y>3
x-y>1
2x + y > 3 - - - - (1)
x - y > 1 - - - (2)
Using trial and error method :
Using :
(5,-2)
2x + y > 3
2(5) + (-2) > 3
10 - 2 > 3
8 > 3 (true)
x - y > 1
5 - (-2) >1
5 + 2 > 1
7 > 1 (True)
For 0,5
2x + y > 3
2(0) + (5) > 3
0 + 5 > 3
5 > 3 (true)
x - y > 1
0 - (5) >1
-5 > 1
--5 > 1 (false)
Also, all other options do not hold true for bitb inequality statements, hence answer is (5, - 2)
Remark
When you take the limit of
![\lim_{ 0} \frac{sin(x)}{x}](https://tex.z-dn.net/?f=%20%5Clim_%7B%200%7D%20%5Cfrac%7Bsin%28x%29%7D%7Bx%7D%20%20%20)
the odd result you get is 1. Later on you will be able to use calculus to show this. For now just take limits of sin(x)/x and make sure you are feeding radians into your calculator.
Now the only question is what is this thing doing?
If a is a constant in
![\lim_{0 \frac{sin(ax)}{x}](https://tex.z-dn.net/?f=%20%5Clim_%7B0%20%20%5Cfrac%7Bsin%28ax%29%7D%7Bx%7D%20%20%20)
then the result = a.
So that's basically all you need to know to solve your problem.
Series
Each term in the series will be
a*(sin(ax)/x) = a * [sin(ax)/x] * 1 = a * a = a^2
The series will look like this.
1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 There is a way of summing this using n notation, but you could just as easily just add the results.
<span>
The formula for this series (if you want a sum) is n*(n+1)*(2n+1) / 6
</span>n = 10
Sum = 10*(11)(21)/6
Sum = 385
Does adding it by hand bring up 385?
When the probability of an event is '0', it means the event is impossible to happen. For example; the probability of getting '7' when rolling a six-sided dice numbered 1 to 6, is zero. No matter how many times the dice are rolled, there'd be no chance of it to land and showing the value '7'.
Answer: A
Answer:
431,707
Step-by-step explanation:
To figure out the total number, you need to divide the part of the whole by the percentage it is of the whole. This means that you need to divide 35,400 by 8.2%.
Before dividing the percentage, you need to convert it to a decimal.
8.2% = 0.082
Divide the number to find the answer.
35,400/0.082 = 431,707.3
Converted to the nearest whole number, the answer is 431,707.