Simplify (2x2y)-3 (3x-3y3)39)  Simplify (2x2y)-3 (3x-3y3)   40)  A square has a side of 5 x 1067. Find the perimeter and area of the square. Make sure your final answer is in scientific...

Simplify (2x2y)-3 (3x-3y3)

39)  Simplify (2x2y)-3 (3x-3y3)

 

40)  A square has a side of 5 x 1067. Find the perimeter and area of the square. Make sure your final answer is in scientific notation.

 

2 Answers | Add Yours

thilina-g's profile pic

thilina-g | College Teacher | (Level 1) Educator

Posted on

39) (2x2y)-3(3x-3y3)

I am assuming you have indicated.

`(2x^2y)^(-3) (3x-3y^3)`

`= (3x-3y^3)/(2x^2y)^3`

`= (3x-3y^3)/(8x^6y^3)`

`= ((3x)/(8x^6y^3) - (3y^3)/(8x^6y^3))`

`= (3/(8x^5y^3) - 3/(8x^6))`

Therefore, `(2x^2y)^(-3) (3x-3y^3) = 3/8(1/(x^5y^3) - 1/x^6)`

40)

one side of square  `a = 5 xx 10^7`

Perimeter `= 4 xx a`

              `= 4 xx 5 xx 10^7`

              `= 20 xx 10^7`

              `= 2 xx 10^8`

Area        `= a^2`

              `= (5 xx 10^7)^2`

              `= 25 xx 10^14`

              `= 2.5 xx 10^15`

 

horseslover004's profile pic

horseslover004 | Student, Grade 9 | (Level 2) eNoter

Posted on

39)  Simplify (2x^2y)-3 (3x-3y^3)


40)  A square has a side of 5 x 1067. Find the perimeter and area of the square. Make sure your final answer is in scientific notation.


41a)  Factor 6x^2 + 5x - 4.


41b)  How would you determine if x=-2 a solution to this? just describe what you would do in complete sentences. You do not have to actually solve it.


42a) If y = 3+ √ (x + 6) why is the domain x ≥ -6?


42b) What is the range of y = 3 + √(x+6)?

43) The radius of a circle is (x-3) inches. What is the area of the circle? You can express your answer in terms of ∏. Be sure to simplify your answer and include units in your answer.

44a) Given the graph of y = -2 + 1/(x-3). What is the x value of the vertical asymptote? Why does y approach infinity for this x value?

44b)  What is the horizontal asymptote? Why does y approach this value when x gets large?

45) Simplify 2(x^2 - 3x) – (5x^3 - 2x^2 + 2x - 1)

 

We’ve answered 318,911 questions. We can answer yours, too.

Ask a question