Answer:
Step-by-step explanation:
For a given function f(x), we define the domain as the set of the possible inputs of the function and the range as the set of the outputs of the function.
We will see that both domain and range are the set of all real numbers.
D = (-∞, ∞)
R = (-∞, ∞)
Here we have the function:
The first thing we need to do is find the domain.
We start by assuming that the domain is the set of all real numbers and then we try to find some given values of x that cause some undefined operation, and then we remove these values of x from the domain.
Where this would be something like a zero in the denominator or something like that. We also could have specific restrictions to the domain that are applied in some specific cases (for example if x represents a length we should remove the negative values from the domain).
Here we can see that we do not have any indetermination, thus the domain is the set of all real numbers.
Now to study the range we need to see the general function, we can see that as x tends to negative infinity y will also tend to negative infinity, while when x tends to infinity y will also tend to infinity.
Then the range will also be the set of all real numbers.
For this case we have:
x: Represents the number of carrot boxes
y: Represents the number of boxes of potatoes
Initially we have:
If you sold 68 boxes of carrot we have:
If you sold 71 boxes of potatoes, we have:
The number of boxes I take home is given by:
ANswer:
7 boxes of carrots left
There are 9 boxes of potatoes left
A total of 16 boxes remain
Answer:
75 × 12 + 30m = 990
∴ m = 3
Step-by-step explanation:
Assume the number of months Talia brings a guest to be 'm'.
So the amount of Talia has to pay for guests for one year is $ 30m .
So, <em>total amount of money Talia has pay for one year = (monthly membership cost)×(number of months in a year) + (additional amount for guests)</em>
Total cost = $990
Monthly membership cost = $75
Number of months in a year = 12
Additional amount for guests = $ 30m
∴ The equation which gives you the number of moths she brought guests is:
990 = 75×12 + 30m
990 = 900 + 30m
990-900 = 30m
30m = 90
∴ m = 3
Answer:
-16, 16, 16
Step-by-step explanation:
1) -16
2) 16
3) 16
Answer:
-7x+9
Step-by-step explanation:
All you are doing is distributing the negative
The equation should now be -7x+9 ( a negative times a negative is always positive)
