The length of a rectangle is  (3x + 4)  ft. The width is  (x − 5)  ft. Find the area of the rectangle in terms of the variable x. (Simplify your answer completely.)

Q: The area of a rectangle is x2 + 4x -12. What are the dimensions of the rectangle (length and width)?

A: Given:The area of a rectangle is x2 + 4x -12.It is known that, for a rectangle,

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A: 3x+63-4xx-2=x

Q: Is x = 5 a solution to the equation? Explain. 3(x +1) = 3x + 3 %3D

A: The given equation is 3(x+1) = 3x+3.Note here that the L.H.S. = R.H.S., as  L.H.S = 3x+3 on…

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A: What are the solutions of the equation below 5x(x+8)=0

Q: Solve the equation for x. (32x . 32)4 = 3

A: Given equation, 32x·324=3

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A: We need to calculate how long it will take to both stocks be worth the same amount ⇒We need to find…

Q: The perimeter of a rectangular coffee table is modeled by the equation P = 6x + 2. If the length of…

A: Using area of rectangle formula.

Q: For Exercise, solve the equation. 2x(x + 2) = 5x + 7

A: Given: The equation

Q: What must be added to x2+4/5 x to complete the square

A:

Q: To complete the square of x2 + 10x, you would_____(add/subtract) the number____

A: We have to fill in the blanks: To complete the square of x2+10x, you would ______ (add/subtract) the…

Q: Which equation has the same solution as x2 + 2x + 10 = 6?

A: Explanation and solutions is given below....

Q: A city park is in the shape of a rectangle, and its width is half its length. The area of the park…

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Q: The perimeter of a square is ( 24x+36). What is the length of each side. Factor x- 4x-12

A: 3) The perimeter of square is the sum of all sides of square which is given by 4x where x is side of…

Q: dx X64+ x2

A:

Q: Solve the equation for x. x(x − 2) = 15

A:

Q: 2· 2* . 4x+2 x+2

A: The expression provided is 2·2x·4x+22x+22. The objective is to write the expression as a power of 2.…

Q: To complete the square of x2 + 10x, you would (add/subtract) the number

A: We have to complete the square of   x2+10x

Q: Can you solve this ecuation? 2x=16

A: Solving for x

Q: A rectangle has a length of sqrt(x/20) feet and a width of sqrt(x/5) feet. What is the area of the…

A:

Q: What constant "completes the square" for this expression? x2 + 7x + ?

A:

Q: Complete the square to form a true equation. x2 + 14x+. -= (x + _ )? x2 + 14x + = (x +? (Type…

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Q: What is the solution to the following equation? .2 x9x + 18= 0

A:

Q: Solve the equation : x2 + 6x + 1 = 8

A: To solve: x2+6x+1=8 We know that x=±a Therefore, x2+6x+1=8x2+6x+1=±8 Now, solving both equation…

Q: Which equation has the same solution as x2 + 19x – 10 = 2?

A: -b/a is sum of roots c/a is product of roots

Q: Use the graphical method to solve the equation. x6 - 2x3 - 3 = 0

A: Given : The equation is x6 - 2x3 - 3 = 0 .

Q: (x)M + (b) 43. x + 2x + 2

A:

Q: (a) How many tonnes must be sold for to not make a loss?

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Q: Which equation has the same solution as x2 + 6x – 8 = 4? O (x + 3)² = 21 (x – 3)² = 3 -

A: Given that  x^2+6x-8=4  To solve the equation

Q: For Exercise, solve the equation. V51 – 14x + 4 = x – 2

A:

Q: What is the solution to the equation x² – 3x– 28 = 0?

A:

Q: . A rectangle has a perimeter of 6x + 9x² - 10x +5 and a length of x. Find the width of the…

A: Given: Perimeter of the rectangle is 6x3+9x2-10x+5 and length is x.we need to find the width when…

Q: For Exercise, solve the equation. −4 + 3x= 3(x − 3) + 5

A: Given equation is

Q: By completing the square, the expression x2+4x+19x2+4x+19 equals (x+A)2+B(x+A)2+B where A and b

A:

Q: Which value of x is the solution of x/3 + x+1/2 = x? The slashes are the fraction

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Q: CDE ~AHFG, solve for x. 9x + 1 24 21 11x-1

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Q: Solve the equation. √(3x + 7) + 1 = x

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Q: Use the IVT to show that the equation: x5 + 2x3 +3x- 4 = 0 has a solution.

A: Intermediate value theorem states that if f(x) is continuous in [a, b] and and f(a)*f(b)<0, that…

Q: what are the solutions to the equation x^2=4x + 21

A:

Q: To complete the square of x2 - 5x, you add the number _______.

A: We know, (a-b)2=a2-2ab+b2 Now, given expression is:x2-5x On simplifying further we get:…

Q: Solve the equation for x. 81^(2x−7) = 3^28

A: In this question we have to find the value of x.

Q: The area of a rectangle is ( 3x? + 7x + 2 ) cm² .The width is (x + 2) cm. What is the length of the…

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Q: Find all real solutions of the equation below: x² – 3x + 9 = 0

A:

Q: Solve the equation for x. 32x=81

A: Given equation

Q: The value of x is 4x -9 A 15 D

A: A line is tangent to a circle if and only if the line is perpendicular to the radius drawn to the…

Q: The expression x + ax² + bx – 3. where a and b are constants, has a factor of x- 3 and leaves a…

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Q: When x = 3 and y = 5, by how much does the value of 3x2 - 2y exceed the value of 2x2 - %3D Зу ?

A: Given:  To determine how much doesthe value 3x2-2y exceed the value of 2x2-3y whwn x=3and y=5