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How do you factor the expression 27x cubed plus 8?
the answer is (3x-2)(9x squared+6x+4)
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
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.
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)
What is the factor of 27x squared y squared - 36xy?
9xy(3xy - 4)
How do you factor x squared minus 27x minus 58?
You try to find two factors of -58 whose sum is -27 .You find that -29 and +2 will do it, so . . .x2 - 27x - 58 = (x - 29) (x + 2)
What is five x squared minus twenty seven x minus eighteen factored?
5x2 - 27x - 18 = (5x + 3)(x - 6)
How do you factor the expression 27x cubed plus 8?
the answer is (3x-2)(9x squared+6x+4)
Factor 24 cubed plus 27x squared - 8x - 9?
(8x + 9)(3x^2 - 1)
How does 27x to the 6th power minus 64x to the 9th power factor?
-x^6(64x^3 - 27)
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 factored form of 27x cubed minus eight?
27X^3-8 = 0 27X^3 = 8 X^3 = 8/27 X = cubic root of 8/cubic root of 27 = 2/3
What is 27x 3 using the algebraic distributive law?
27x + 3 use distibutive law to factor
