Use the properties of operations to simplify this algebraic expression. rewrite the expression by following the directions in ea
ch step.
5(x - 4) + 3x - 9x+7
5(x - 4) + 3x - 9x+7
2 answers:
Answer and Explanation:
Given : Expression
To find : Use the properties of operations to simplify this algebraic expression. Rewrite the expression by following the directions in each step.
Solution :
Step 1 - Write subtraction as addition,
Step 2 - Use the distributive property,
Step 3 - Use the commutative property of addition to reorder terms so that like terms are together,
Step 4 - Use the associative property of addition to group like terms,
Step 5 - Simplify
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The linear function showing the cargo ship’s path on the map is given at the image at the end of the answer.
<h3>What is a linear function?</h3>The slope-intercept representation of a linear function is given by the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are explained as follows:
- m is the slope of the function, representing the change in the output variable y when the input variable x increases by one.
- b is the y-intercept of the function, representing the numeric value of the function when the input variable x assumes a value of 0.
In this problem, the function is given as follows:
y + 20 = -2x.
In slope-intercept format, the function is:
y = -2x - 20.
This means that:
- When the longitude is of 0, the latitude is of 20. (passing through Mali).
- Due to the negative slope, the line is decreasing.
Hence the line is presented on the image given at the end of the answer.
More can be learned about linear functions at brainly.com/question/24808124
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