What is the solution of x^2-1/x^2+5x+4< or equal to 0

(-4,-1) U (-1,1]

Step-by-step explanation:

x^2-1/x^2+5x+4< or equal to 0

LEts factor top and bottom

Now we factor x^2-1 using

now we find the x values that makes the denominator 0

x+4=0, x=-4

x+1=0, x=-1

multiply the denominator on both sides

cancel out x+1 at the top and bottom

x-1 =0, x=1

We got 3 x values

x=-4, -1, 1

using the x values we make 4 intervals

(-∞, -4), (-4,-1) (-1,1] and [1,∞)

LEts pick a random number from each interval and check with the inequality

(-∞, -4) pick -5

 false

(-4,-1) pick -3

 True

(-1,1] pick 0

 True

[1,∞) pick -2

 false

solution are the intervals that satisfies our inequality

(-4,-1) U (-1,1]

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2