Using the properties of operations the given pair of expressions are not equivalent
<u>Solution:</u>
Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent
<em><u>And the two expressions are:</u></em>
Now, we know that, there are four (4) basic properties of operations:
<em>Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.</em>
So, if we observe we can apply distributive property on 1st expression
The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.
Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x
Hence, the given two expressions are not equal.
The answer is 12
12-(5+3)=4
4+8=12
Answer:
The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is:
- Negative slope.
- Constant slope.
Step-by-step explanation:
We are given a graph that represents the relationship between the Number of Balloons Hats and the number of balloons remaining.
Clearly from the graph we could that it is a linear function.
Also, the function is a decreasing function since with the increase of one variable that is the number of Balloon hats produced the other variable i.e. Balloons remaining is decreasing.
Also, we can calculate the slope of the line.
as the line is passing through (0,500) and (100,0)
Hence, the slope of line is:
Hence, the graph has a negative slope.
Also, we know that a slope of a line is always constant.
So, the correct statements are:
Negative slope.
Constant slope.
Decreasing function.
The answer is- Yes, the piecewise graph is a function because it passes the vertical line test.
Hope that helped!!!
