Algebra Answers

1.a) Sketch the graphs on the same axis.
(i) y = x^2 - 4
(ii) y = -x + 3

(b) What are the inequalities of the region bounded (enclosed area) by the two graphs.

Question 1

(i) If (x + 3) is a factor of the
expression x^3 + 3x^2 - x - 3, find the other two factors?

(ii) If the expression above was divided by (x + 2), what is the remainder?

QUESTION 7

If y varies inversely with,
square root|x^2 + 2

(i) Write an equation involving y, square root|x^2 + 2 and a constant of proportionality k.

(ii) Given that y = 3, When x = 2, find the value of the constant of proportionality k. Leave your answer in surd form.

(iii) Hence calculate the value of y when x = 5. Express your answer in simplified surd form.

There is a row of cars starting a motor car race.If the 3rd car after the middle car is in the 10th position.How many cars are there at the starting?

QUESTION 1

(a) Express 27x^-3 y^2/(3x^-2 y^4)^2 without negative indices.

(b) Solve the following equation for x
2^3x^2 × 2^4x = 2^2/2^-2

6
Σ 3(-5)^n-1
2

A fireplace contains 46 bricks along its bottom row. If each row above decreases by 4 bricks, what is the function that shows the bricks on the 12th row?

What is the formula for a geometric series and how can you use it in a practical situation ? Show explanation !

To make concrete mix Monica pours 34 pounds of cement 68 pounds of sand 14 pounds of small pebbles and 19 pounds of large pebbles into a large wheel barrel if she pours the mixture into 9 equal size bags how much will each bag weigh

Which is greater 3 1/10 or 3.19