The length of a rectangle is 4 less than twice the width. The area of the rectangle is 70 square feet. Find the width, w, of the rectangle algebraically. Explain why one of the solutions for w is not viable.

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,

Q: Why is 2 the only solution for |x - 2| ≤ 0?

A: Given: |x−2|≤0

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Q: If (x – 3)2 = 5, what values of x make the quadratic equation TRUE?

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Q: Determine the number of solutions algebraically. x+y= 3 -2x-2y=-14

A:

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A: For max no. of mosquitos, function m(x) should be maximum i.e M(x)= 10x – x2 -i) Differentiate m(x)…

Q: which is the easiest way to solve for quadratic equations and why

A: There are various ways to solve a quadratic equation. for example we can solve quadratic equation…

Q: A dumpster in the shape of a rectangular prism has a volume of 240 ft.³ the length of the dumpster…

A:

Q: What value for a will result in an equation with infintely many solutions? a(x + 5) = 3x + 15

A:

Q: The general solution of y' x2 can be written in the form

A:

Q: Find the solution set of 4x – 3(2 – x) 2 2x+1

A: Given that inequality:

Q: The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its…

A: Use area formula of rectangle

Q: A dumpster in the shape of a rectangular prism has a volume of 240 cubic feet. The length of the…

A: The dimensions and volume of the dumpster, which is in the shape of a rectangular prism is given as…

Q: any solutions does the equation 2 + 6 (x 4) = 3x - 18 + 3x have?

A:

Q: The quantity b2 - 4ac is called the  _____________ of a quadratic equation. If it is _____________ ,…

A: To fill the blanks :   The quantity b2 - 4ac is called the _______ of  a quadratic equation. If…

Q: the Solve for by using completing square 2x- 3x -1 =0

A: we have to solve for x by using completing the square 2x2-3x-1=0

Q: Which choice includes all of the solutions to 2x2 + x – 3 = 0?

A: Given,          The equation is 2x2+x-3=0.

Q: Solve the equation 8x -7= 4x + 5 algebraically.

A:

Q: The solutions of the equation (x + 5) (2æ – 1) (x – 3) = 0 are

A: This question is based on equating factors to zero.

Q: Solve the equation.  2/3x + 1 = 1/ x − 6x/3x + 1

A:

Q: Is x+2 = 5-x/x a quadratic equation? Is 2x/6 = x-2/3x a quadratic equation?

A: x+2=5-xx⇒xx+2=5-x⇒x2+2x=5-x⇒x2+2x+x-5=0⇒x2+3x-5=0 Now it is in the form of ax2+bx+c=0. Therefore it…

Q: For Exercise, solve the equation. V7x + 8 = x + 2

A: To solve the given equation.

Q: If you are given a quadratic equation, how do you determine which method to use to solve it?

A:

Q: The length of a rectangle is 9 inches longer than the rectangle's width. The area of the rectangle…

A: Let width of rectangle is ''w'' It is given that length of rectangle is 9 inches longer than the…

Q: The length of the longer leg of a right triangle is 3 cm more than three times the length of the…

A:

Q: The profit for Cocoa Board cocoa beans is given by Π(x) = −15x2 + 180x −405 thousand dollars, where…

A:

Q: The discriminant of the quadratic equation 3x2 + 6x - 1 = 0 is [ Select ] and tells us that there…

A: we have to find the discriminant

Q: The length of a plywood is 0.9m more than it's width and it's area is 0.36m^2.what is the quadratic…

A: We are solving the first question and for the remaining questions post the questions again and also…

Q: x² – 8x – 2 = 0 - %3D -

A:

Q: Consider the equation to find the value of x: 2x2+3x-4=0

A: Given,

Q: If x=2 is a zero, what are the other zeros for the equation.

A: The given problem is solved below in detail.

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

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

Q: A blogger earns R(x) = 9x + 0.073x² in revenue, where a is the number of subscribers, and has a cost…

A: Given that Rx=9x+0.073x2Cx=1950+8x

Q: Determine the nature of the solutions of the equation. x + 2x + 10 = 0

A: The given quadratic equation is x2+2x+10=0. Compare the given quadratic equation with the general…

Q: this equation is quadrfatic or expendential k(x)=4x+3

A: Consider the equation

Q: solve my grouping method x2 + 7x +12

A:

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: The area of a rectangular plot is 528 m2 . The length of the plot is one more than twice its breadth…

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Q: The pathway of a frog jumping onto a lily pad can be represented by the equation h = -0.5f2 + 3t + 2…

A: First we will find dhdt. Then we will put dhdt=0 to get the critical points. Then we will calculate…

Q: -4 y' = 3+2x 4

A:

Q: What is the sum of all real solutions to the equation: 4x2 + 7x - 15 = 0

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Determine the nature of the solutions of the equation. x2 + 4x + 8 = 0

A: The discriminant of a quadratic equation ax2+bx+c=0 is calculated by the expression D=b2-4ac. If…

Q: The perimeter of a rectangle is 36 inches. If its length is two times its width, find the dimensions…

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Q: Find all real solutions of the equation below: 5x2 – 7x + 5 = 0 -

A:

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

Q: What are the real solutions of the equation x3 + 5 = 4x2 + x?

A:

Q: Use the graphical method to solve the equation.

A: Solution:Given   x-9-3x=0To solve the equation by using Graphical methd.