Answer:
d. does not exist
Step-by-step explanation:
The given limits are;
,
and
We want to find
By the properties of limits, we have;
This gives us;
Division by zero is not possible. Therefore the limit does not exist.
Use a number line to add 3 + (-5).
1 answer:
Answer: -2
Step-by-step explanation: When your adding and subtracting positives and negatives, it helps to use a number line to visualise what's going on in the problem.
On a number line zero is in the middle. All numbers to the right of zero are positive and all numbers to the left of zero are negative.
So when your simplifying a problem like 3 + (-5), we start at zero and positive 3 takes us to the right. From there, -5 moves us 5 units back to the left and we end up -2. So 3 + (-5) simplifies to -2.
I have attached a number line along with my work
for this problem below.
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Given:
Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.
He is only allowed to work 13 hours total per week.
He wants to make at least 65 dollars.
To find:
The system of inequalities to represent this situation.
Solution:
Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.
He is only allowed to work 13 hours total per week. It means sum of x and y must be less than or equal to 13.
He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.
Number of hours can not be negative.
.
Therefore, the required system of inequalities contains some equations, and
.