Answer:
No, the inverse function does not pass the vertical line test.
Step-by-step explanation:
Remember that 
. To find the inverse of our function we are going to invert x and y and solve for y:
Now we can graph our function an perform the vertical line test (check the attached picture).
Remember that the vertical line test is a visual way of determine if a relation is a function. A relation is a function if and only if it only has one value of y for each value of x. In other words, a relation is a function if a vertical line only intercepts the graph of the function once.
As you can see in the picture, the vertical line x = 15 intercepts the function twice, so the inverse function h(x) is not a function.
We can conclude that the correct answer is: No, the inverse function does not pass the vertical line test.
Answer:
x (40-10) -12000≥980
The factory must sell 433 backpacks to meet its weekly goal.
Hi, to answer this question we have to write an inequality.
So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.
12,000 of operating expenses are also expenses.
So, for the profit:
Profit = revenue- cost
P = 40x-10x-12,000
P = x (40-10)-12000
The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.
x (40-10) -12000≥980
Solving for x
30x-12000≥980
30x≥980+12000
30x ≥12980
x≥12980/30
x≥432.6
x≥433 (rounded, because if the sell 432 they will not meet the goal)
The factory must sell 433 backpacks to meet its weekly goal.
Step-by-step explanation:
Answer:
7000 meters
Step-by-step explanation:
We know that 1 km = 1000 meters
7 km * 1000m/km = 7000 meters
Answer:
Step-by-step explanation:
Dentist's Office = 5/6 of an hour. An hours is 60 minutes
therefore he spent 5/6 x 60 = 50 minutes at the Dentist
1/10 of those 50 minutes were spent in the waiting room that is 1/10 x 50 = 5 minutes
Therefore Sam Spent 45 minutes at the Dentist office
I think the second part of your question is missing
