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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 x 2 +3x+2x+6, which can be simplified to equal x 2 +5x+6.Then mutiple x 2 +5x+6 by (x+5). This will give you x 3 +5x 2 +5x 2 +25x+6x+30. Simplify this to equal x 3 +10...
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Answered by Cora H. • Maths tutor
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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 multiplied by t...
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Answered by Megan L. • Maths tutor
3711 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= 1.25x1...
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Answered by Joseph C. • Maths tutor
6287 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
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Answered by Sam D. • Maths tutor
8425 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 10315.1) = 10830.55p Convert...
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Answered by Andrew G. • Maths tutor
3917 Views