Replace f(x) and f(x+h) by using the equation given for the problem.
Open all parenthesis
Factor the h
Other terms not in the parenthesis cancel each other out
Now, simplify
109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.
<h3>Find the required expression:</h3>
- Algebraic expression is made up of numbers, operations and variables.
- Algebraic expression is true for all values of x.
- For example, 2x, 5x + 9 etc.
Given that,
A parent made x cupcakes for each of the 109 students in the fourth grade.
The total number of students in the class = 109
The number of cupcakes one student gets = 1 × x = x
⇒ The number of cupcakes 109 student gets = 109 × x = 109x
Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.
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It's a flat horizontal line so the slope is 0
Slope = rise/run = 0/run = 0
The "run" can be any number you want as long as it's not 0.
Corresponding altitudes are corresponding parts. They are congruent because ... Corresponding parts of congruent triangles are congruent. (CPCTC)
