What is the solution to the equation below? 6x=2x+24
2 answers:
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Answer:
D)
Step-by-step explanation:
A linear relationship is of the form , where,
is the slope and
is the y-intercept (constant).
For a proportional relationship, the value of and thus it is of the form
Let us check each option and express it in the form above.
Option A:
This can be written as . So,
.
Since, b \ne 0, therefore, it is not a proportional relationship.
Option B:
Here, . So,
.
Since, b \ne 0, therefore, it is not a proportional relationship.
Option C:
Here, . So,
.
Since, b \ne 0, therefore, it is not a proportional relationship.
Option D:
This can be rewritten as
There is no y-intercept on this. So,
Since,, therefore, it is a proportional relationship.
Therefore, the correct option is D.
ANSWER
EXPLANATION
The given rectangle has area,
It was given to us that, the length of the rectangle is l=(x+8)
To find the width, we need to factor, the expression for the area.
We split the middle term to get,
We now factor by grouping;
We know that area of a rectangle is
Hence the width of the rectangle is,
EXPLANATION
The given rectangle has area,
It was given to us that, the length of the rectangle is l=(x+8)
To find the width, we need to factor, the expression for the area.
We split the middle term to get,
We now factor by grouping;
We know that area of a rectangle is
Hence the width of the rectangle is,