The inequality x^2-14x> 15 is equivalent to: (a) -3< x< 5(b) -1< x< 15(c) 3 < x < 5(d) x< -1 or x> 15 (e) x< 3 or x> 5 and explain why.

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x^2 - 14x > 15

x^2 - 15x - 15 > 0

(x + 1)(x -15) > 0

If we take a stance and say BOTH POSITIVE, we see

x > -1  OR  x > 15

In this case x > 15 is the dominating factor...

If we take a stance and say BOTH NEGATIVE, we see...

x < -1  OR  x < 15

In this case x < -1 is the dominating factor...

Now combine the 2 proven factors, we get...

x < -1 OR x > 15

So...

The answer is: D.) x<-1 or x>15

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4