1/5+1/3=8/15 house per day
1 house=1/(8/15)=15/8 days per house working together
☺☺☺☺
4 kings total out of 52 cards
1 king was picked so 3 are left, 52 -1 = 51 cards left
so you have a 3/51 reduced to a 1/17 probability of picking another king
9514 1404 393
Answer:
2440
Step-by-step explanation:
The difference in fixed costs is ...
37815 -16465 = 21350
The difference in variable costs is ...
20.50 -11.75 = 8.75 . . . . per book
Then the number of books that must be produced for the difference in variable costs to be equal to the difference in fixed costs is ...
21350/8.75 = 2440
For production of 2440 books, the costs of the two methods will be the same.
_____
<em>Additional comment</em>
You can write expressions for total cost of each production method. When you set them equal and solve for the number of books, you find the math you end up doing is the same as that shown above.
Answer:
Domain [-5,∞)
Range [0,∞)
Step-by-step explanation:
Part 1) Find the domain
we have
we know that
The radicand must be greater than or equal to zero
so
solve for x
subtract 5 both sides
The solution for x is the interval [-5,∞)
All real numbers greater than or equal to -5
Remember that
The domain of a function is the set of all possible values of x
therefore
The domain of the function f(x) is the interval [-5,∞)
Part 2) Find the range
we have
Find the value of f(x) for the minimum value of x
For x=-5
The minimum value of f(x) is equal to zero
so
The solution for f(x) is the interval [0,∞)
All real numbers greater than or equal to 0
Remember that
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
therefore
The range of the function is the interval [0,∞)
Answer:
5
Step-by-step explanation:
Finding the distance, midpoint, slope, equation and the x y-intercepts of a line passing between the two points p1 (7,6) and p2 (2,6)
The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula
d= √((X2-X1)2+(Y2-Y1)2)
d = √(2-7)2+(6-6)2
d = √((-5)2+(0)2)
d= √(25+0)
d = √25
The distance between the points is 5
