Answer:
1) There were 120 customers per night when the restaurant opened
2) y = -2x + 24
Step-by-step explanation:
1) x represents the # of months since a restaurant opened, and y represents the average number of nightly customers.
y=mx+b
120 is <em>b</em> in this situation, which is the y-intercept of the line. This means that 120 is the starting number of customers when the restaurant first opened.
Answer:
Step-by-step explanation:
use formula
x^3+y^3=(x+y)^3-3*x*y(x+y)
=12^3-3*27(12)
=1728-972
=756
Our system of equations is:
y = -3x + 9
y = -x - 5
To solve this system of equations, we are going to use substitution. This means that we are going to substitute the second equation into the first equation since both are already solved for y in terms of x.
y = -3x + 9
-x - 5 = -3x + 9
Now, we must simplify by moving all of the constant terms to one side of the equation and all of the variable terms to the other side.
-x - 5 = -3x + 9
2x - 5 = 9
2x = 14
Finally, to undo the multiplication between the coefficient 2 and the variable x, we must divide both sides by 2 to get the variable x alone.
x = 7
Next, we must substitute in this value we have solved for x into one of the original equations to solve for the other variable, y.
y = -3x + 9
y = -3(7) + 9
To simplify, we must multiply through the parentheses and combine like terms by addition.
y = -21 + 9
y = -12
Therefore, your final answer is x = 7 and y = -12, or as an ordered pair (7, -12).
Hope this helps!
I believe it would b <span>1.008 x 10^4.</span>
Answer:
460
Step-by-step explanation:
This quiz is Said to consist of 920 questions. Each if these questions have 2 options of answering them only. Which is True or False.
True represents correct = 0.5
False represents wrong = 0.5
The probability of correct is = 0.5
With a sample size of 920
Mean = no
= 920x0.5
= 460
So the mean number of correct answer from this calculations I just did is equal to 460