11% = 16.5
1% = 16.5 / 11
= 1.5
100% = 1.5 * 100
= 150. His weight two years ago was 150 pounds.
a) Since both limits are <em>distinct</em> and do not exist, we conclude that x = - 1 is not part of the domain of the <em>rational</em> function.
b) The function is equivalent to the function .
<h3>How to determine whether a limit exists or not</h3>
According to theory of limits, a function f(x) exists for x = a if and only if . This criterion is commonly used to prove continuity of functions.
<em>Rational</em> functions are not continuous for all value of x, as there are x-values that make denominator equal to 0. Based on the figure given below, we have the following <em>lateral</em> limits:
Since both limits are <em>distinct</em> and do not exist, we conclude that x = - 1 is not part of the domain of the <em>rational</em> function.
In addition, we can simplify the function by <em>algebra</em> properties:
The function is equivalent to the function .
To learn more on lateral limits: brainly.com/question/21783151
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Given that:
- A race car game takes 6 points each time the player hits a cone.
- You must find the integer that represents the change in total points if the player hits 10 cones.
It is important to remember that the Set of Integers contains the negative numbers, the positive numbers, and zero.
Then, by analyzing the data given in the exercise, you can identify two integers that must be multiplied, in order to calculate the total points if the player hits 10 cones. These are:
Since the game takes 6 points from the player each time this hits a cone, the integer that represents the points taken from the player must be negative.
In order to multiply the integers, you need to remember the Sign Rules for Multiplication:
Therefore, you get this result:
Hence, the answer is:
Answer:
x = ±
Step-by-step explanation:
Given
ax² + b = c ( subtract b from both sides )
ax² = c - b ( divide both sides by a )
x² = ( take the square root of both sides )
x = ±
Answer:
96
Step-by-step explanation:
First divide 360 by 2.
Then divide 180 by 5 and that is how many 5 pound bags he will use.
Then divide 180 again by 3 and that is how many 3 pound bags he will use.