Three friends each have some ribbon. Carol has 42 inches of ribbon, Tino has 2.5 feet of ribbon, and Baxter has 1.5 yards of rib
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we have
<u>Statements</u>
<u>case A)</u> The graph is a straight line.
The statement is True
Because, this is a linear equation (see the attached figure)
<u>case B)</u> The line passes through the origin.
The statement is False
Because the point is not a solution of the equation
Verify
Substitute the value of x and y in the equation
------> is not true
the point is not a solution
therefore
The line does not pass through the origin
<u>case C)</u> The line passes through the point
The statement is True
Because the point is a solution of the equation
Verify
Substitute the value of x and y in the equation
------> is true
the point is a solution
therefore
The line passes through the point
<u>case D) </u>The slope of the line is
The statement is False
Because, the slope of the line is
<u>case E)</u> The y-intercept of the line is
The statement is False
we know that
The y-intercept is the value of y when the value of x is equal to zero
so
For
find the value of y
the y-intercept is equal to
<h3>Answers:</h3>
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Work Shown:
Part 1
Notice how I replaced every x with g(x) in step 2. Then I plugged in g(x) = x^2+6 and simplified.
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Part 2
In step 4, I used the rule (a+b)^2 = a^2+2ab+b^2
In this case, a = sqrt(x-1) and b = 5.
You could also use the box method as a visual way to expand out