Answer:
y = 0
Step-by-step explanation:
y = mx + b so if m = 0 then x = 0 and if be is also 0 then that entire side of the equation is 0. Meaning that y = 0
When we approach limits, we are finding values that are infinitesimally approaching this x-value. Essentially, we consider the approximate location that this root or limit appears. This is essential when it comes to taking Calculus, and finding the limit or rate of change of a function.
When we are attempting limits questions, there are several tests we attempt first.
1. Evaluate the limit by substituting the value of the x-value as it approaches the value (direct evaluation of a limit)
2. Rearrangement of the function, such that we can evaluate the limit.
3. (TRIGONOMETRIC PROPERTIES)


4. Using L'Hopital's Rule for indeterminate limits, such as 0/0, -infinity/infinity, or infinity/infinity.
For example:
1)

We can do this using the first and second method.
<em>Method 1: Direct evaluation:</em>Substitute x = 0 to the function.


<em>Method 2: Rearranging the function
</em>We can see that x - 25 can be rewritten as: (√x - 5)(√x + 5)
By rewriting it in this form, the top will cancel with the bottom easily, and our limit comes out the same.



Every example works exactly the same way, and by remembering these criteria, every limit question should come out pretty naturally.
Explanation:
The equation for this problem can be modeled in y = mx + b form.
m represents the rate of change and b represents the initial value or constant.
y = 10x + 20
x represents the number of hours he spent delivering newspapers
y is his total money after whatever number of hours he worked
The rate is 10, because it determines how much money he earns for each hour.
The y-intercept is 20, representing the starting amount of money in his bank account.
The blanks should be:
<span>2 halves
</span><span>7 halves
</span><span>7 friends
This is because 3 and 1/2 is the same as the improper fraction of 7/2. </span>
Answer:
Katie collected 365 cans in the second week.
Step-by-step explanation:
Because Katie collected 470 cans in the first week, and 105 less in the second week, we know to subtract 105 from 470, which gives us 365 cans.