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A 4 digit number is picked. It's second digit is a prime number, it must be even and it must be greater than 5000. How many possible numbers can be picked?

This involves the product rule for counting. Step 1: Identify the possible numbers for the first digit 5, 6, 7, 8 or 9 (5 in total) Step 2: Identify the possible numbers for the second digit 2, 3, 5 or 7 ...

Answered by Thomas S. • Maths tutor

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Solve the following inequality and shade the region to which it applies on a graph. 10x(squared) < 64x - 24

Step 1: Simplify the quadratic by dividing by 2. 5x² < 32x - 12 Step 2: Move all terms onto one side of the quadratic. 5x² - 32x + 12 < 0 Step 3: Factorise the quadratic. (5x -...

Answered by Thomas S. • Maths tutor

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Factorise 15a^2 + ab - 6b^2

15a²+ab-6b²

=(?a+?b)(?a-?b)

factors of 15= 3 and 5

factors of 6= 2 and 3

if we try (3a+2b)(5a-3b) that gives us 15a²+10ab-9ab-6b²

Answered by Aayushi B. • Maths tutor

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June 2008 C1 Paper Differentiation Question

a) ask student: purpose of differentiation (i), how to perform differentiation (ii) (i) to find the gradient of a curve (ii) multiply the coefficient of x by its indice then minus one from the indici perf...

Answered by Nicola G. • Maths tutor

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A fridge of height 2m and width 0.8m is tilted in a delivery van so that one edge rests on the edge of a table and another touches the ceiling, as shown in the diagram. The total height of the inside of the van is 1.5m. Find the height of the table.

Let h be the height of the table. Let the edges of the fridge be A touching the ceiling, B touching the table and C touching the floor. Let D be the point on the ceiling vertically above B and E be the po...

Answered by Charles H. • Maths tutor

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