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Maths
GCSE

write (x+2)(x+3)(x+5) in the form ax^3+bx^2+cx+d

First take (x+2)(x+3) and expand to get x2 +3x+2x+6, which can be simplified to equal x2+5x+6.Then mutiple x2+5x+6 by (x+5). This will give you x3+5x2

Answered by Cora H. Maths tutor
2883 Views

Alex designs a game for people to play, using two fair five-sided spinners. A person wins the game when both spinners land on the same letter. People pay 40p for each game they play. The prize for a win in £1. Is she likely to raise money?

In order to raise money, we need the average number of wins to be smaller than the average number of losses by at least a factor of 0.4.
The average number of wins will be the number of games multipl...

Answered by Megan L. Maths tutor
2572 Views

Sam works for £14 per hour. When Sam works more than 8 hours a day, he is paid overtime for each hour he works more than 8 hours at 1½ times his normal rate of pay. Sam worked for 12 hours. Work out the total amount of money Sam earned.

Find the wage received from normal rate= 8x14=112. We then find the wage received from working overtime by finding the number of extra hours worked (12-8=4) multiplied by the overtime wage of (1½ x14= 1.2...

Answered by Joseph C. Maths tutor
4807 Views

A quarter circle has a radius of 8, calculate the area giving your answer in terms of pi

area of a circle = pi x radius^2
64pi/4 = 16pi
Student must be aware of the equation for the area of a circle and that they must divide by 4 to get the answer here

Answered by Sam D. Maths tutor
7057 Views

2435 units of gas used in November, costing 4.12p per unit. The gas company also charge 9.43p per day. The total cost has an additional 5% in VAT. What is the gas bill for the month of November?

30 days in November; (30 X 9.43) = 282.9p (2435 X 4.12) = 10032.2p (10032.2 + 282.9) = 10315.1p 5% in VAT so total price is 105% of 10032.2p Convert 105% to decimal; 1.05 (1.05 X 10315...

Answered by Andrew G. Maths tutor
2930 Views

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