This system can be a bit tricky unless you write it out:
(2n + 2)(2n - 2) ~ First you have to take one variable and multiply it to each of the other two variables, like:
2n * 2n ~ And:
2n * -2 ~ This gives you:
4n^2 - 4n
Now we do this with the other:
2 * 2n
2 * -2
4n - 4
Now we combine them both while adding like terms:
4n^2 - 4
Therefore your answer is: A. 4n^2 - 4
(This is due to how when having the positive 4n subtracted by the negative it cancels it out. Leaving us with the remaining two terms left.)
I hope this helps, have a great rest of your day! ^ ^
~Ghostgate
Answer:
The probability that the wait time is greater than 14 minutes is 0.4786.
Step-by-step explanation:
The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.
The average waiting time is, <em>β</em> = 19 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter 
.
The probability distribution function of <em>X</em> is:
Compute the value of the event (<em>X</em> > 14) as follows:
Thus, the probability that the wait time is greater than 14 minutes is 0.4786.
Answer:
y=2x+4
Step-by-step explanation:
**Your line isn't clearly shown on point with the grid**
If you want this in the slope-intercept form then here it is:
Slope-intercept formula: y=mx+b
Your coordinates: (-3,2) and (1,10)
To find the slope (which is the "m" in the formula) you need to do this formula:
y2 - y1 / x2 - x1 =
(The 2's and 1's should be subscript)
10-2/1-(-3) = 8/4
8/4=2
The slope should be 2
Formula right now: y=2x+b
You need to find the y-intercept:
That should be a point on the y-axis.
(0,n) **N is used for a variable since we don't have a number yet.
In your coordinate plane, (0,4) is your y-intercept.
When writing the y-intercept in the formula don't write a coordinate write the "y"
Formula: y=2x+4
Answer:
x = 11
Step-by-step explanation:
If the segments are congruent then
3x = x + 22 ➡ 3x - x = 22
2x = 22 divide both sides by 2
x = 11
