set up an equation and solve each problem. The combined area of a square and a rectangle is 57 square feet. The width of the rectangle is 3 feet more than the length of a side of the square, and the length of the rectangle is 5 feet more than the length of a side of the square. Find the length of the rectangle.

Q: set up an equation and solve each problem. Find two consecutive odd whole numbers such that the sum…

A: Let the two consecutive odd numbers are x and x+2. From the question, Sum of square of two odd…

Q: solve each problem by setting up and solving the appropriate equation. The length of a picture…

A: To find the dimensions of the picture

Q: solve each problem by setting up and solving an appropriate equation or inequality. The length of a…

A: Consider the given perimeter of the rectangle is 50 centimeters. Let length of rectangle b and width…

Q: Find the solution set of each equation 2x1 + 3x2 = 5

A:

Q: set up an equation and solve each problem. The total surface area of a right circular cylinder is…

A: The total surface area of a right circular cylinder is 32π square inches. The altitude of the…

Q: set up an equation and solve each problem. Suppose that the sum of two whole numbers is 9, and the…

A: Let x and y be required whole numbers. Given that Suppose that the sum of two whole numbers is 9,…

Q: solve each equation. (4x - 3)2 - 5 = 20

A: Given: 4x-32-5=20

Q: solve each equation. 2x/-5 = 3/(4x - 13)

A: An equation contains an equal symbol between two algebraic expressions that have the same value. The…

Q: solve each of the equations. 3x2 = 7x

A: Solve each of the equations.       3x2=7x

Q: solve each of the equations. 4x2 = 5x

A: Given equation is 4x2=5x

Q: solve each equation. a/(a - 5) + 2/(a - 6) = 2/(a2 - 11a + 30)

A: we have to solve the given equation : aa-5+2a-6=2a2-11a+30

Q: solve each of the equations. -5a = -a2

A: The given equation is, -5a=-a2 On simplifying the given equation, we get -5a=-a2-a2+5a=0-aa+5=0

Q: set up an equation and solve each problem. The perimeter of a rectangle is 41 inches, and its area…

A: The perimeter of a rectangle is 41 inches, and its area is 91 square inches

Q: solve each equation. 7x2 + 33x - 10 = 0

A: We have to solve the equation: 7x2+33x-10=0 Solving this quadratic equation by middle term splitting…

Q: set up an equation and solve each problem. Find two consecutive whole numbers such that the sum of…

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

Q: solve each equation. 3x2 - 46x - 32 = 0

A: The given equation is, 3x2-46x-32=0 To solve the equation, we use the factorization method.

Q: solve each of the equations. 2x2 - 3x + 4 = 0

A: We have to solve the equation: 2x2-3x+4=0 We know the formula of solution of quadratic equation…

Q: solve each equation. 2x4 + 9x2 + 4 = 0

A: We have to solve the equation: 2x4+9x2+4=0 Solving the equation by factorization of middle term…

Q: set up an equation and solve each problem. Find two integers whose product is 105 such that one of…

A: Solution: Let x= one of two integer      y= second of two integer   we will need to form equation…

Q: 4) Solve each equation. a. 621 = 67x b. 5×+3 = C. 3x²-7 = 272x

A:

Q: A contractor needs 54 square feet of brick to construct a rectangular walkway. The length of the…

A: Given : A contractor needs 54 square feet of brick to construct a rectangular walkway. The length of…

Q: solve each equation. 6x4 - 31x2 + 18 = 0

A: 6x4 - 31x2 + 18 = 0

Q: set up an equation and solve each problem. Find two numbers such that their sum is 6 and their…

A: Find two numbers such that their sum is 6 and their product is 7.

Q: solve each of the equations. 2/(5x - 2) = 4/(6x + 1)

A: We can separate the variable on the one side of the equation and simplify the other side. Degree of…

Q: solve each of the equations. x4 + 8x2 - 9 = 0

A: Given, x4+8x2-9=0

Q: solve each equation. 4x4 - 13x2 + 9 = 0

A: we have to solve the given equation 4x4 - 13x2 + 9 = 0.

Q: solve each of the equations. 6x4 - 23x2 - 4 = 0

A: Given equation: 6x4-23x2-4=0

Q: solve each equation. 4x4 + 11x2 - 45 = 0

A: Given: 4x4+11x2-45=0

Q: solve each equation. 3x4 + 17x2 + 20 = 0

A: Given that the equation 3x4 + 17x2 + 20 = 0 To solve the given equation:-

Q: solve each equation. 12x3 + 46x2 + 40x = 0

A: Given: 12x3+46x2+40x=0

Q: set up an equation and solve each of the following problems. The sum, in square yards, of the areas…

A: Given: Side of square is twice the length of a radius of the circle.

Q: -2=4-2x

A:

Q: solve each of the equations. x - 4x2 = 0

A: To solve the equation x-4x2=0

Q: Solve the given equation, then create an equivalent equation to the given equation x - 6 = 2x -8

A:

Q: solve each equation. 3n2 + 10n - 8 = 0

A: To Solve 3n2+10n-8=0 3n2+10n-8=03n2+12n-2n-8=03nn+4-2n+4=03n-2n+4=0

Q: set up an equation and solve each problem. Find two numbers such that their sum is 10 and their…

A: Given- The sum of two number is 10 and their product is 22. To find- The value of two numbers.…

Q: solve each equation. 7x2 + 62x - 9 = 0

A: Given, 7x2 + 62x - 9 = 0   To evaluate x

Q: Solve each equation.  C-4/4 = c-4/8

A: Assuming the given the equation:

Q: solve each equation. 1/(2x - 7) + (x - 5)/(4x2 - 49) = 4/(6x - 21)

A: solve each equation. 1(2x-7)+(x-5)(4x2-49)=4(6x-21)

Q: Solve the given equation, then create an equivalent equation to the given equation -X - 8 = -2x + 10

A: Given:- -x-8 = -2x+10 To find:- Solve the equation and find equivalent equation Equivalent…

Q: set up an equation and solve each problem. Find two consecutive even whole numbers such that the sum…

A: Let the first even whole number be x So, the second even whole number is x+2

Q: Solve each equation. 7) -14 =-7V-3 - v

A:

Q: solve each of the equations. (5x - 4) = √(5x - 4)

A: Given: 5x-4=5x-4

Q: solve each equation. 20x2 + 41x + 20 = 0

A: we have to solve the equation 20x2 + 41x + 20 = 0.

Q: The sum of the three angles in a triangle in 180°. Three angles of a triangle are: (x-20)°, 50°, and…

A:

Q: solve each equation. 9x4 - 37x2 + 4 = 0

A: The given equation is, 9x4-37x2+4=0 To find the solution of the given equation, we use the…

Q: set up an equation and solve each problem. The difference between two whole numbers is 8, and the…

A: Given: The difference between two whole numbers is 8 and the difference between their reciprocals is…

Q: solve each equation. -8(a + 5) = -2(4a - 3)

A: Consider the provided equation, -8a+5=-24a-3 Solve the above equation.

Q: solve each equation. 12x-2 - 17x-1 - 5 = 0

A: To solve the equation,  12x-2 - 17x-1 - 5 = 0

Q: solve each of the equations. 12x2 + x - 6 = 0

A: 12x2+x-6=012x2-8x+9x-6=04x(3x-2)+3(3x-2)=0(4x+3)(3x-2)=0

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.