Answer: m = 3/2, b = -5
Step-by-step explanation:
When we input these values into slope-intercept form y = mx + b, then we get y = 3/2x -5. When trying out different x values, we get the same points that are on the line such as (2, -2) also the y-intercept is -5, so we know it is a true statement and that the slope 3/2 and y-intercept -5 are the only correct answers for this line.
With this equation, all you have to do to solve for a is to divide both sides by 12b and <u>your answer will be
</u>
The y-intercept of a function is that function's value when x=0.
.. f(0) = 4
.. g(0) = 0
These y-intercepts differ by 4.
If you want them to differ by zero (be the same), you have to move them to the same point.
Selection 1. Moves f(0) down 3 (to 1) and g(0) up 1 (to 1), so moves the y-intercepts to the same point. This is what you want, so this is an appropriate answer selection.
Selection 2. Moves f(0) up 4 (to 8) and g(0) down 1 (to -1). 8 and -1 are not the same point, so this is not the answer.
Selection 3. Moves f(0) down 2 (to 2) and g(0) up 1 (to 1). 2 and 1 are not the same point, so this is not the answer.
Selection 4. Moves f(0) up 3 (to 7) and g(0) down 6 (to -6). 7 and -6 are not the same point, so this is not the answer.
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The appropriate choice is the 1st one.
f(x) - 3 and
g(x) + 1
First, find the product (w*r)(x): (w*r)(x) = (x-2)*[2-x^2] = 2x - x^3 - 4 + 2x^2
This is a cubing function. Since the sign of the cube-of-x term is negative, the graph will begin in Quadrant II and pass through Quadrant IV. There are no limits on y. Thus, the range is (-infinity, +infinity).