(20x^2 – 3x – 9)/(4x – 3)

Mathematics

1 answer:

nordsb [41]3 years ago

4 0

Answer:

5x+3

Step-by-step explanation:

Rewrite the expression to 20x^2-3x-9/4x-3

Factor 20x^2+12x-15x-9/4x-3

Factor 4x*5x+3-3(5x+3)/4x-3

Factor (5x+3)*(4x-3)/4x-3

Solution then becomes 5x+3 as stated above

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Which equation is the inverse of 2(x - 2)^3=8(7+y)

irina1246 [14]

Answer:

$\large\boxed{y=2\pm\sqrt{28+4x}}$

Step-by-step explanation:

$2(x-2)^2=8(7+y)\\\\\text{exchange x to y, and vice versa:}\\\\2(y-2)^2=8(7+x)\\\\\text{solve for y:}\\\\2(y-2)^2=(8)(7)+(8)(x)\\\\2(y-2)^2=56+8x\qquad\text{divide both sides by 2}\\\\(y-2)^2=28+4x\iff y-2=\pm\sqrt{28+4x}\qquad\text{add 2 to both sides}\\\\y=2\pm\sqrt{28+4x}$