The volume of a rectangular prism is given by the expression (x³ – 4x) units cubed. The area of the base of the prism is given by the expression (x2 - 2x) units squared. Find the height h of the prism in terms of x. (Simplify your answer completely.) h = units height Area of base (x2 - 2x) units squared

Q: Simplify the expression below. * (2r2 – 5x + 6) + (5x2 - 3x + 4) A. 7x2 - 8x + 10 B. 7x2 - 2x + 10…

A: We have to simplify the expression 2x2-5x+6 + 5x2-3x+4

Q: The expression 2x + (x-7) is equivalent to I² + bx + 49 for all values of z. What is the value of b?…

A:

Q: Use the given volume of a box and its length and width to express the height of the box…

A:

Q: Simplify the expression completely: (12x12/4x3)-3

A:

Q: Simplify the given expression.  (2x + 8)/(x - 3)÷(x2 + 5x + 4)/(x2 - 9)

A:

Q: Simplify the expression (2x^4/8y^6)^3

A:

Q: The volume of a rectangular box is 4x*y – 25z²y. What could be the dimension of the box in terms of…

A: see below the answer

Q: Select the expression equivalent to (4x + 3) + (-2x + 4) a) -2x + 12 b) -8x + 12 c) 6x + 7 d) 2x + 7

A:

Q: A prospective buyer wants to know how much grain a specific silo can hold. The area of the floor of…

A: Given  Area of the floor = (2x+9)2 height of the silo =  10x + 10

Q: The volume, in cubic centimeters, of a rectangular box is given by Vx=x^3-6x^2-13x+42  . If the…

A: Volume of a cuboid is given by- V=lbh where l is the length of cuboid, b is the width of cuboid…

Q: The expression 3.5 equals x"ys where r, the exponent of x, is: s, the exponent of y, is:

A:

Q: 4. The number of tiles used on the floor were twelve times the square of the length of the floor. W…

A:

Q: 3x+9 x+4 8x2-50 8x2-50

A:

Q: What is the constant of the expression X^2 + 15x + 24y +10

A:

Q: The area of a rectangle is given by the expression 8x -2. The length of the rectangle is 4x - 2 Find…

A: Given: Area=8x2−2Length=4x−2Width=?

Q: The sides of a triangular sheet are represented by the 2 2 expression 2x + 4, 5x² 4x, and x + 8.…

A: Given: Three sides of the triangular sheet: Side 1: 2x2+4 Side 2: 5x2-4x Side 3: x + 8 To find:…

Q: The expression 81x°y° is equivalent to 3 3 (1) 3x²y² (3) 9x²y² (2) 3xty² (4) 9x*y²

A: Given expression :

Q: The volume of a cube is given by the expression s' and its surface area is given by the expression…

A: We will use the given formula to find the surface area and volume

Q: If 3x2 is multiplied by the quantity 2x3y raised to the fourth power, whatwould this expression…

A: First, we distribute the exponent 4

Q: The area of a rectangle is represented by 3x2 + 14x + 8, and the width is x + 4. What expression can…

A: length = ?

Q: The length and width of a rectangle are shown below. 50-x 2x+10 Which expression represents the…

A: Given Length of a rectangle = 50-x width of a rectangle=2x+10

Q: Simplify the expression. 2 a) 2 (5 – x) + 3x b) 4x – 3(x + 7) - c) (2x – 1) (2x – 1) d) (2x – 1) (3…

A: a)  The expression is 2(5 - x) + 3x  By using the distributive property a(b + c) = ab + ac 2(5 - x)…

Q: To make an open box, a man cuts equal squares from each corner of a sheet of metal that is 12 inches…

A: Given:The metal sheet is 12 inches wide and 16 inches long.

Q: The volume of a rectangular prism is given by the expression (x3 − 25x) units cubed. The area of the…

A: Given that: Volume of the rectangular prism = x3-25xBase area of the prism = x2-5x

Q: What expression represents the area of a rectangle whose length is 2x-7 and width is X+ 37 A) 2x2-…

A:

Q: 2. Simplify the following algebraic expression: 3x² + 4y – x' + 7x² + 3y

A: Given:Algebraic expression

Q: simplify the expression 2x^3-2x^2-6x/2x^2-7x+6

A: Given,           2x3-2x2-6x2x2-7x+6

Q: Use the given volume of a box and its length and width to express the height of the box…

A:

Q: The volume of a rectangular prism is given by the expression (x3 − 4x) units cubed. The area of the…

A:

Q: What value of m would make the expression below simplify to 6x³ 12x-y 2x-10ym

A: aman=am-nam*an=am+n

Q: The expression x2/3x5/6 equals xr where r, the exponent of x is___

A:

Q: 5. A rectangle has an area defined by the expression 12.x² +17x+6. What is the length and width of…

A: We need to use middle term splitting/Ac method to factories the area

Q: Simplify. 6x²54 x² + 4x-21 a. 6(-4x) b. 5r2 – 33 4x C. d. 6(x + 3) (x + 7) 6(x-3) (x + 7)

A:

Q: 3. The total area of Mr. lan's rectangular backyard is a-10a+21 Za+10 sq. m. if its a-3 length is 4…

A:

Q: The area of a rectangle is represented by 3x2 + 14x + 8, and the width is x + 4. What expression can…

A:

Q: Find the value of x. * 10 4 X 1 7 8 LO

A: Given:

Q: 47. Find the value of x. 2x 1 4

A: Known fact:

Q: The area of a rectangle is given by 3x^3 +14x^2-23x+6.The width of the rectangle is given by x + 6.…

A: Given: Area of the rectangle = 3x3 +14x2-23x+6 Width of the rectangle = x+6       To determine: The…

Q: Which expression is equivalent to x + 3 / x - 2x - 3 / x + 2x - 3/x + 1 if no denominator equals 0

A:

Q: What expression represents the area of a rectangle whose length is 2x - 7 and width is X+37 A) 2x2-…

A: SOLUTION-

Q: Which expression is equivalent to 3(x² + 1) – 5x(x² + x+ 1)? F -5x + 8x2 + 5x + 3 -5x3 – 2x2 – 5x +…

A: Given expression is 3x2+1 - 5xx2+x+1

Q: The area of the rectangle below can be represented by 13x2 – 4x + 10 and the area of the trapezoid…

A: The area of the rectangle is represented by 13x2-4x+10. The area of the trapezoid is represented by…

Q: Which expression is equivalent to (2x + 3)(x + 4) ? A 2x+ 12 3 B 2x + 11x + 12 2x + 6x + 4x + 12 2 D…

A: Explanation of the answer is as follows

Q: Simplify the expression

A: Given equation is 4x3x-4+83x2-4x+2x

Q: Simplify the expression completely. (3x-4)4(4)(x2+1)-1/2+(3x-4)3(2x)(x2+1)1/2

A: Give, The expression  (3x-4)4(4)(x2+1)-1/2+(3x-4)3(2x)(x2+1)1/2

Q: The expression x2/5 x3/6 equals x" where r, the exponent of x, is:

A:

Q: The expression x1/3 x5/4 equals xr where the exponent of x is ___

A:

Q: Simplify the expression

A: Consider the numerator…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.