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What is 3x cubed times 3x cubed?
Your question is ambiguous. (3x)^3 times (3x)^3 = 27x^3 times 27x^3 = 729x^6 or, if you meant 3x^3 times 3x^3 = 9x^6
How do you factor 20x squared minus 27x minus 8?
20x2 - 27x -8 20 * -8 is -160, and -32 and 5 add to -27 20x2 - 32x + 5x - 8 4x(5x-8) + 1(5x-8) (4x + 1)(5x-8)
2x3 minus 3x2 minus 11x plus 7 divided by x plus 3?
2x^3-3x^2-11x+7x+32x^2-9x+16 R -41x+3 l 2x^3-3x^2-11x+7-(2x^3+6x^2)-9x^2-11x+7-(-9x^2-27x)16x+7-(16x+48)-412x^2-9x+16-[41/(x+3)]
Suppose that y varies directly as the cube of x If x is tripled what is the effect on y?
y will be multiplied by 27. Remember, whatever you do to one side of an equation, you must do to the other. In this case, the relationship between x and y would be expressed as y = x^3 To triple x would look like y = (3x)^3 ...b/c you're tripling the value x alone, not the entire term x^3 y = 27x^3 ...after distributing the exponent (3^3 = 27) In order to set both sides of the equation equal, y must be multiplied by 27... 27y = 27x^3 TADA!
A closed rectangular box is to be constructed with a base as long as its wide suppose that the total surface area is 27square feet find the dimension of the box that maximize the volume?
Since the base is equal to the length, then the two parts of the box, up and down are two squares, let's say with length side x. So the other four parts may be rectangles with length x, and wide y, (where y is also the height of the box). Since the surface area is 27 ft^2, we have: Surface Area = 27 = 2x^2 + 4xy Solve for y y = (27 - 2x^2)/4xThus, we have:l = xw = xh = (27 - 2x^2)/4xV = lwhV= (x)(x)[27 - 2x^2)/4x] Simplify and multiply:V = (27x - 2x^3)/4V = (1/4)(27x - 2x^3) Take the derivative: V'= (1/4)(27 - 6x^2) Find the critical values by setting the derivative equal to zero:0 = (1/4)(27 - 6x^2) multiply by 0 both sides:0 = 27 - 6x^2 add 6x^2 to both sides:6x^2 = 27 divide by 6 to both sides:x^2 = 27/6x^2 = 9/2 Square both sides:x = √(9/2)x = (3√2)/2y = (27 - 2x^2)/4xy = 27/4x - (2x^2)/4xy = 27/4x - x/2 substitute (3√2)/2 for x:y = 27/][4(3√2)/2)] - (3√2)/2)/2y = (9√2)/4 - (3√2)/4y = (6√2)/4y = (3√2)/2 As we see the box is a cube.V = side^3V = [(3√2)/2]^3 V = (27√2)/4So, V = (27√2)/4 ft^3 when x = (3√2)/2. Thus, we can maximize the volume of this box if l = w = h = (3√2)/2 ft.
Factor 24 cubed plus 27x squared - 8x - 9?
(8x + 9)(3x^2 - 1)
Factor 24x cubed plus 27x squared - 8 x - 9?
I also need to know the answer to this problem. Can anyone answer it?
Factor 3x2 plus 27x plus 60?
3x2 + 27x +60
What is the answer to 27x cubed- 8y cubed?
19
What is 27x cubed plus 343y cubed factored?
In order to factor the sum of the cubes, we need to use this form a³ + b³ = (a + b)(a² - ab + b²). Let a³ = 27x³ and b³ = 343y³. Then, a = 3x and b = 7y. Perform substitution of these terms for the form, and we obtain: 27x3 + 343y3 = (3x + 7y)(9x2 - 21xy + 49y2)
How do you factor 2x2-27x plus 36?
(2x - 3)(x - 12)
27x/9x equivalant expression?
27x/9x = 3x
Factor 9x cubed plus 27x squared -90x?
Step 1: Divide by 9x: 9x (x2 + 3x - 10) = 9x(x + 5)(x - 2)
What is 10x plus 22-37x plus 1?
It is: 23-27x when simplified
How do you factor 5x squared minus 27x plus 10?
(5x - 2)(x - 5)
How do you factor 9x squared plus 27x minus 36?
9x2 + 27x - 36 = 9(x2 + 3x - 4) = 9(x + 4)(x - 1)
How do you factor 4x plus 27x plus 18?
4x + 27x + 18 = 0 31x + 18= 0 31x + 18 - 18= 0 - 18 31x = -18 31x / 31 = -18 / 31 x = -.58
