Which expression is equivalent to

12x⁶+24x⁵-180x⁴/ 30x³+240x²+450x

Step-by-step explanation:

(x-3)(x+5)=x²+2x-15

12x⁴(x²+2x-15)= 12x⁶+24x⁵-180x⁴

(x+3)(x+5)=x²+8x+15

30x(x²+8x+15)= 30x³+240x²+450x

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step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is