Answer:
y=-4x-2
Step-by-step explanation:
linear function, y = mx+c
the y intercept of the graph,c, is -2
thus y = mx - 2
substitute a point on the graph into the equation, (2,-1)
2 = m(-1) -2
m = - 4
thus equation of graph is y = -4x-2
Answer:6,000
Step-by-step explanation:
Gross profit = Revenue - cost of goods sold = 57,000 - 15,000 = 42,000
Net profit = Gross profit - expenses = 42,000 - 36,000 = 6,000
Answer:
2np + p²
Step-by-step explanation:
The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².
Using FOIL (forward, outside, inside, last):
(n + p)(n+p) = n² + 2np + p²
Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.
n² + 2np + p² - n² = 2np + p²
x = 6
The average of 4 numbers is 6, which means that (3 + 5 + 10 + x) all divided by 4 is 6. That means that 3 + 5 + 10 + x = 24, because 24/4 is 6.
18 + x = 24, subtract 18 from 24 to get x = 6.
Answer:
$11.65
Step-by-step explanation:
20% of 58.25, "of" in math means multiplication. So you multiply it.
To get 20% as a fraction you move the decimal 2 places to the left, and it's .2 or .20 so you get this equation:
.20 * 58.25
So your answer is, $11.65.
To find the total of the bill including the tip it would just be
11.65 + 58.25 = 69.90
