Given f(x) = 3x- 1 and g(x) = 2x-3, for which value of x does g(x) = 2)?
1 answer:
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Answer:
x = 4
Step-by-step explanation:
Since the triangle is right, solve for x using Pythagoras' identity, that is
x² = 8² + 4² = 64 + 16 = 80
Take the square root of both sides
x = =
=
×
= 4
← exact value
Answer:
We conclude the equation is linear because it can be rewritten in the form .
Hence, option D is correct.
Step-by-step explanation:
The slope-intercept form of the line or linear equation
where
is the slope
is the y-intercept
<u>Important Tip:</u>
The graph of a linear equation is always a straight line.
Convert the given equation in the slope-intercept form
subtract 18x from both sides
simplify
divide both sides by 9
Now, comparing the equation with a slop-intercept form of linear equation
- The slope m = -2
- The y-intercept b = -416/9
Therefore, we conclude the equation is linear because it can be rewritten in the form .
From the attached graph, is also clear that the graph of the equation is a straight line.
Hence, option D is correct.
