Option A: is the equation.
Explanation:
Let x represents the number of hours per month the store is open.
It is given that the the monthly rent(expense) = $1200
Also, the employee salary for each hour(expense) = $120x
Thus, the total expense C(x) is
It is also given that the income per hour(revenue) is $200x
Thus, the revenue function R(x) is
The break - even point is given by
Total expense = Revenue
Thus, is the equation.
Hence, Option A is the correct answer.
Answer: 17/21
Step-by-step explanation:
Number of cities = 42
Fraction of cities that has lake = 5/42
Fraction of cities that have rivers = 29/42
The fraction of these 42 cities that have a lake or river running through them will then be:
= 5/42 + 29/42
= 34/42
= 17/21
Answer:
x intercept (15/4,0)
y intercept (0,2)
slope 8/15
Step-by-step explanation:
15y − 8x = 30.
To find the x intercept, set y =0
15(0) -8x = 30
8x = 30
Divide each side by 8 to solve for x
8x/8 = 30/8
x = 15/4
To find the y intercept, set x =0
15y -8(0) = 30
15y = 30
Divide each side by 15
15y/15 = 30/15
y =2
To find the slope we solve the equation for y
15y − 8x = 30.
Add 8x to each side
15y − 8x+8x =8x +30.
15y = 8x +30
Divide each side by 15
15y/15 = 8x/15 +30/15
y = 8/15x +2
The slope is 8/15
Answer:
A)
Step-by-step explanation:
The given terms are
Now we have to prime factorize the each term.
Now we have to find the common factors in all the three terms.
The greatest common is nothing but the highest common divisor of all terms
The common factor is all the three terms are : 7, a, b*b*b
So the greatest common factor of given terms = 7*a*b*b*b =