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Len [333]
2 years ago
5

PLEASE HELP I AM DESPERATE!!! MARK AS BRAINLIEST!!!!

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
8 0

g(x) = 4x − 5 is a linear function (graph is a straight line), with slope 4. Knowing how to identify the slope is an essential skill.


If g(x) is represented by this table:


x f(x)

−1 −6

0 −3

1 0


and we have a reasonable expectation that this is a linear function, then we can choose any 2 points and find the slope of the line connecting them. For example, we'll find the slope connecting (-1, -6) and (1,0).

0-(-6)

It is: m = ------------ = 3

1-(-1)


So the slopes of these 2 linear functions are not the same.


The equation of g(x) is y = 3x - 3. In the table, note that when x=0, y= -3.


The y-intercept -3 of g(x) is identical to the y-intercept -3 of f(x).

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Step-by-step explanation:

Since the two triangles are similar, we know that all of the corresponding angles must be the same.  On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°.  This means that the same angle is formed at Z, which is in the same location on the triangle to the right.  From there, we can find the missing angle, W, from the difference of 180°.

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