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Basic Algebra

Arithmetic Sequences : Formulating and Solving an Arithmetic Expression ...

The number of cans in the layers of a display at a supermarket forms an arithmetic sequence. The bottom layer has 28 cans; the next layer has 25 cans, the next layer has 22 cans and so on until there is 1 can at the top of the display. 1) How many total cans are in the display? 2) How many rows of cans are in the entire display

Advanced Algebra concept to solve mathematical problems

Need help solving algebra problems. 1. Perform the indicated operation and simplify: w-6/w-7 - w+1/w+7 + w-21/w^2-49= 2.Jack usually mows his lawn in 7 hours, Marilyn can mow the same yard in 4 hours how much time would it take for them to mow the lawn together? 3. Simplify by removing factor of 1. s^2-4/(s+2)^2 4. F


Problem one: Divide and simplify d^7/d^13 2 a). solve 5x^2=15 b). find the x-intercepts of f(x)=5x^2-15 3. Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive: 3sqrt216x^8/y^3 4.Multiply and simplify. Assume variables represent nonzero real

13 Algebra Problems : Inequalities, Systems of Equations and Word Problems

Please see the attached file for the fully formatted problems. 1.) Graph the inequality on a plane. 3x + 4y ≤ 12 2.) Determine whether the ordered pair is a solution of the inequality. (4, 13); 5y - 6x > 4 Is the ordered pair a solution? Yes or No 3.) Miguel's insurance company will replace his car if repair co

Radical expressions

See attachment for expressions 1. Multiply. Simplify wherever possible. 2. Solve. Simplify your Answer. 3. Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. 4. Multiply and simplify by factoring. Type an exact answer, using radicals as needed. 5. Rewrite with rational ex


See attached F(x)=3x-5, find the following.


An aircraft with a constant speed in still air travels 4200 km with a constant tailwind in 3 hours. With the same wind now against the aircraft, it takes 4 hours to make the return trip. What was the speed of the aircraft in still air, in km/hr?

Important information about Several algebra Word problems

Please see attachment. 82. Driving marathon. Felix drove 800 miles in x hours on Monday. a) Write a rational expression for his average speed. b) On Tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on 90. Barn painting. Melanie can paint a certain barn by herself in

Calculating area of a hill contour

Please show work. Please see the attachment. A new road is to be cut through a hill, and the contractor responsible for building the road wants to know how much soil will need to be removed. A diagram of the hill and the proposed cutting is given below. A surveyor measures the profile of the hill along the 300m length o


I am having a hard time with some work, can anyone help me? 1. A business makes two kinds of bikes, model A and model B. Model A requires 2 hours of assembly time and model B requires 3 hours of assembly time. The parts for model A cost $25 per bike; those for model B cost $30 per bike. If company has a total of 34 hours of

Quadratic equations

Assistance with the attached doc. Give exact and approximate solutions to 3 decimal places Solve by completing the square Find the x-intercepts of The flower garden has the shape of a right triangle 51 feet of perennial border forms the hypotenuses of the triangle, and leg is 21 feet longer than other leg. Find the length

Conic sections

Complete the square, rewrite in standard form and identify the conic section. Do not graph! 1) 4x^2-8x+9y^2+54y-59=0 Completed square: Identify which Conic Section: 2)3y^2+12y+5x=3 Completed square: Identify which Conic Section: 3)y2-2x2+8y-8x-4=0 Completed square: Identify which Conic Section: 4)


I am having a hard time with my math work and need help to solve the following problems. 1. Use the Binomial Theorem to expand: (2x − y)^6 2. Find the coefficient a of the given term ax^5 in the expansion of (x - 3)^12.

Inverse of division

There is an inverse property for both addition and multiplication. Is there an inverse property for division? If so, what is that property? If not, could you explain to me why not? Thanks

Write the answer in lowest terms.

Multiply or divide as indicated. Write the answer in lowest terms. (x^2 + 9x + 20/x^2 + 5x * 5x/x^2 + 8x + 16)divided by x + 5/x + 4

Undefined expression

Find any values of the variable for which the rational expression is undefined. ( -6q - 3)/ (q^2 + 25)

Factoring Quadratics

#7 Factor 9x^2 + 5x - 4 #8 How is solving a quadratic equation like 6x^2 - x = 15 different from solving a linear equation like 2x + 3 = 7? Solve 6x^2 - x = 15.