What value of n makes each statement true, pls include work

1. n=2

2. n=12

3. n=2

Step-by-step explanation:

1

12xy³/4xⁿy=3y²/x

12x²y³=12y³xⁿ (cross multiplied)

x²=xⁿ (cancelled out (12y³))

2=n

2

(-3a/2b⁴)³=-27a³/8bⁿ

-27a³/8b¹²=-27a³/8bⁿ (cubed left side)

-216a³bⁿ =-216a³b¹² (cross multiplied)

bⁿ=b¹² (cancelled out (-216a³))

n=12

3

(xy⁶/x⁵yⁿ)²=y⁸/x⁸

x²y¹²/x¹⁰y²ⁿ=y⁸/x⁸ (squared left side)

x²y¹²/x¹⁰y²yⁿ=y⁸/x⁸

y¹⁰/x⁸yⁿ=y⁸/x⁸ (simplified)

y¹⁰x⁸=x⁸yⁿy⁸ (cross multiplied)

y²=yⁿ (cancelled out (x⁸), simplified)

n=2

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204