Answer:
Option C. 10.5(12 + x) square feet
Option E. (126 + 10.5x) square feet
Step-by-step explanation:
step 1
Find the area of the original living room
we know that
The area of the original living room is equal to

we have

substitute

step 2
Find the new area of the living room
The length of the room is being expanded by x feet
so
we have

The new area is

The expanded form of the expression is
Apply distributive property

Answer:
Both equation represent functions
Step-by-step explanation:
The function is the relation that for each input, there is only one output.
A. Consider the equation

This equation represents the function, because for each input value x, there is exactly one output value y.
To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.
When you intersect the graph of the function
with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.
B. Consider the equation

This equation represents the function, because for each input value x, there is exactly one output value y.
When you intersect the graph of the function
with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.
One can know if an equation is extraneous if after plugging it in the original equation, it shows a false meaning or the value is undefined.
<h3>What is an extraneous equation?</h3>
It should be noted that an extraneous equation means a root of a transformed equation that isn't the root of the original equation due to the fact that it's excluded from the domain of the original equation.
In this case, one can know if an equation is extraneous if after plugging it in the original equation, it shows a false meaning or the value is undefined.
Learn more about equations on:
brainly.com/question/2972832
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Answer:
Yes it does.
Step-by-step explanation: