If graphed in the plane, would the line y=5x-2 pass through the point (4,15)
1 answer:
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Answer: Option A
Step-by-step explanation:
In the graph we have a piecewise function composed of a parabola and a line.
The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.
The equation of this parabola is
Then we have an equation line
Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."
(this is )
Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .
(this is )
Then the function is:
Slope intercept form is y=MX+b.
M is the slope, x is the x intercept, and b is the y intercept
the slope is
An intercept is where the formula crosses the axis. therefore, the x intercept is .5, and the y intercept is 1
so the point slope formula is
M is the slope, x is the x intercept, and b is the y intercept
the slope is
An intercept is where the formula crosses the axis. therefore, the x intercept is .5, and the y intercept is 1
so the point slope formula is
Answer:
Step-by-step explanation:
The equation to solve is:
To get rid of the "square", we need to take square root of both sides:
Then we use algebra to find the value(s) of x. Remember, when we take square root, we have to add up a "+-" (on the right side). Shown below:
So these are 2 answers for x.