Set up an equation and solve.A rectangular piece of metal is 5in. longer than it is wide. Squares with sides of 4in. long are cut from the four corners, and the flaps are folded upward to form an open box. If the volume of the box is 200cubic inches, what were the dimensions of the piece of metal?

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: The width of the rectangle is half of its length. If the perimeter of the rectangle is 60 cm. Write…

A:

Q: how to solve following equation for the unknown variable? 1/2x=12

A: Refer to the question we need to find the value of unknown variable 1/2x=12.

Q: If using the method of completing the square to solve the quadratic equation x2 + 17x + 3 = 0, which…

A:

Q: Solve: A + B = 3, 2A - 2B + C = 17 and 4A - 2C = 14.

A:

Q: The longest side of a triangle is six more units than the shortest side. The third side is twice the…

A: Given query is to find the sides of the triangle.

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

A:

Q: Select the values of a, b, and c that you would substītute into the quadratic formula to solve the…

A: Given equation 3x(x-1)=x2+4  First, solve the equation…

Q: If using the method of completing the square to solve the quadratic equation 22 + 7x + 27 = 0, which…

A: We need to use the method of completing the squares to solve x2+7x+27=0 We need to complete the…

Q: If using the method of completing the square to solve the quadratic equation x? – 15x + 22 = 0,…

A: Given :x2-15x+22 = 0

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: 7d a = c+b

A:

Q: Solve the following quadratic equations  6x2-x-15=0

A: Multiply 6 and -15. So -90.Then factor -90 so that the sum of the factors -1.Factors are -10 and…

Q: Solve the following quadratic equation 6X2 - 7x=20

A:

Q: If using the method of completing the square to solve the quadratic equation x? – 20x + 33 = 0,…

A:

Q: If using the method of completing the square to solve the quadratic equation x? + 3x + 21 = 0, which…

A:

Q: 8x2 + 8x + 2 dx (4x² + 1)

A: 4x^2+1 cannot be fractionised further

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

A:

Q: Solve by the quadratic formula: 6x2 =14x−8 If you have twosolutions, list them separated by…

A:

Q: What term should be added to both sides of the equation in order to solve by completing the square?…

A:

Q: What term should be added to both sides of the equation in order to solve by completing the square?…

A: Given, x2+3x=4

Q: Solve the following equation 3x3 - 15x² +18x=0 Attecb

A: The given equation is 3x3-15x2+18x=0. Now solve the equation. 3x3-15x2+18x=03xx2-5x+6=0 Use the zero…

Q: set up an equation and solve each of the following problems. Suppose that the area of a square is…

A: Let 'x' be the side of the square.

Q: If using the method of completing the square to solve the quadratic equation x^2+8x+37=0, which…

A: to complete the square

Q: 19. (3 + x) – (3 + x) – 12 = 0

A: According to our company policy we can answer only first question and rest can be reposted.

Q: Tina solved a quadratic equation and found the solutions to be - and 6. Write the factors. (Insert…

A:

Q: 3) 2m² + 2m – 12=0

A:

Q: Solve for x by completing the square: 2x? – 12x + 8 = 0

A:

Q: and

A:

Q: у" — 16у 3 2е4x, |

A:

Q: Solve the equation. 3x3 = 3x(x + 12) %3D X = (smallest value) X = X = (largest value)

A: We first subtract 3x(x+12) and then factor.

Q: set up an equation and solve each problem. The sum of the lengths of the two legs of a right…

A:

Q: Solve for c. 1 8 d- b. C =

A:

Q: If using the method of completing the square to solve the quadratic equation 22 +7x +27 = 0, which…

A: Given: x2+7x+27=0

Q: x* +7x-18 =0

A:

Q: Solve the equation without using a calculator.

A: The given equation is 2lnx+3-lnx+1=3ln2

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

A:

Q: The perimeter of the rectangle below is 180 meters. Solve x. 2x + 10 2x Blank 11

A:

Q: 5) x +4x+3 =0

A: The given quadratic equation is x2+4x+3=0 To find: x by quadratic formula

Q: If using the method of completing the square to solve the qudratic equation x2 - 5x - 23 = 0, which…

A: The given quadratic equation is: x2 - 5x - 23 = 0 To solve this quadratic equation by completing the…

Q: Solve the quadratic equation, 4x² – 8x – 60 = 0 by completing square. The length of a rectangular is…

A: (3) We have to solve 4x2-8x-60=0 by completing square method. (4) Length of a rectangle is 5 cm more…

Q: give the justification for each step of solving the equation 9x+12=10x-5

A:

Q: Solve: 2ープザー3メッパ+をメー-0 3-9=xp+6p?, 4-4PX-2y=Py?.

A:

Q: Solve the equation or inequality Round to the nearest ten thousandth 4 ^ (2x) = 9 ^ (x + 1) 2

A: Given equation is 42x=9x+12 solve the equation

Q: Solve each by setting up and solving an appropriate equation. The width of a rectangle is 2 meters…

A: Let ABCD be the rectangle with length l and width b  area of reactangle lb and perimeter is 2(l+b)

Q: Determine the length x by solving either the equation or the equivalent equation x(x + 5) = 24. 4 x…

A: x4=6x+5   orx(x+5)=24

Q: What term should be added to both sides of the equation in order to solve by completing the square?

A:

Q: set up an equation and solve each problem. Suppose that the length of one leg of a right triangle is…

A: Pythagorean formula a2+b2=c2a and b are the legs.c is the hypotenuse

Q: 4 Solve each equation by completing the square. 26. x2 – 4x + 12 = 0 27. x² + 2x – 12 = 0 28. x² +…

A: Given: x2+6x+8=0

Q: 7) 4b + 8b+7=4

A:

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.