Answer:
See below.
Step-by-step explanation:
1)
So we have the limit:

This is equivalent to:

To solve, we can use the following property:

Therefore, our limit is the same as:

We are already given that the limit as x approaches 4 of g(x) is -2. Therefore:

You simply need to evaluate this to solve the limit. I don't have enough information to solve this, so maybe you have something more.
Similarly, for the second one:
2)
We have:

Using the same property:

And we are told that this is 16, so:

And we just need to evaluate this to find the limit.
I hope you find this helpful!
The solution to (21x) - (-16 + 7x) is 14x + 16
<h3><u>Solution:</u></h3>
Given that (21x) - (-16 + 7x)
We have to evaluate the given expression
Let's look at the given expression
(21x) - (-16 + 7x)
Multiply the terms within second bracket with minus sign
<em><u>There are two simple rules to remember:</u></em>
- When you multiply a negative number by a positive number then the product is always negative.
- When you multiply two negative numbers or two positive numbers then the product is always positive
⇒ (21x) + 16 - 7x
Removing the parenthesis
⇒ 21x + 16 - 7x
Combining the like terms,
⇒ 14x + 16
Thus the solution is 14x + 16
Answer:
315 chocolate
Step-by-step explanation:
Let Sam's chocolate be S
Let Clariss's chocolate be C
When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.
This can be written as:
C = 5S
The sum of their chocolate is 504 i.e
S + C = 504
Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:
S + C = 504
But: C = 5S
S + 5S = 504
6S = 504
Divide both side by 6
S = 504/6
S = 84.
C = 5S = 5 x 84 = 420
Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.
Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:
Amount of chocolate that Clarissa has a first = 420 – 105 = 315
Therefore, Clarissa had 315 chocolate at first.
Answer:
Step-by-step explanation:
We are given the following in the question:
Let P be the number of professor and S be the student in a college.
According to the question:
There are 19 times as many students as professors.
We have to write an equation to show the given relationship between professors and students.

The above situation is the situation that represents the given relationship.
Answer:
-12.96
Step-by-step explanation:
sorry if thats wrong