Algebra Answers

Find all trees T where two-thirds of the vertices of T have degree 1 and the remaining one-third of the vertices have degree 3.

(3a-5)(9a²+25)(3a+5)

Suppose the production cost is R 18925,labour cost is and equipment renting fee is R250,determine the number of devices produced

Determine the cost labour amounts to R1245 , with equipment renting fee of R250 , to produce 5 devices

a. Use the factor three to determine the prime factors and prime products of 1260

b. Use vertical and horizontal algorithms to find the difference of 709-568. Explain the borrow concepts.

You are just about to teach the prime numbers to the grade 4 class. Explain the strategy you will use to ensure that your learners understand and know the prime numbers between 1 and 100. Use your own words and clear procedure should be explained in full

Test the following numbers for divisibility by 6,9 and 11 ( do not divide or factories)

a. 6798340

b. 54786978

A penny is dropped into a tank of water at the water’s surface. If falls to the bottom according to the relation below , where d is the depth of the water measured in metres and t is the time after the penny was dropped, measured in seconds. How deep is the water?

The value of a delivery van depreciates at the rate of 15% per year. Show that

annual depreciation follows a geometric progression, and use this progression

to determine the value of the van after three years, if it is purchased for $4500?

Inayah is making a board game that is 16 inches by 24 inches. She wants to use square tiles. What is the largest tile she can use? Briefly explain the technique you used to solve this question.