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Expand and simplify the following: (2x+3)(2x+5)

Expanding this expression means multiplying the contents of the first bracket by the contents of the second. An easy way to remember this is using the FOIL method. FOIL stands for First, Outside, Inside, ...

RM
Answered by Richard M. Maths tutor
5266 Views

A ten-sided die with sides numbered 1-10 is thrown. What is the probability of throwing a 1?

There are 10 sides, therefore there are 10 options each roll for what side could be shown. In probability, this means we put 10 as the denominator in the fraction. Now the condition is that a 1 is shown a...

TD
Answered by Tutor83237 D. Maths tutor
7788 Views

Find the value of 5x - 3y when x = -2 and y = -4

This question is all to do with substitution. First, rewrite the question but in instead of writing x and y, put brackets. It will look like this: 5( ) -3( ) Now inside the brackets where x and y would go...

TD
Answered by Tutor83237 D. Maths tutor
12977 Views

Frank, Mary and Seth shared some sweets in the ratio 4:5:7. Seth got 18 more sweets than Frank. How many sweets were shared in total?

If you add 4+5+7 = 16, you can consider that Frank gets 4/16 of the sweets, Mary gets 5/16 and Seth gets 7/16. This because for every 4 sweets Frank gets, Mary gets 5 and Seth gets 7.

If there are ...

AP
Answered by Adam P. Maths tutor
8989 Views

Find the equation of the tangent to the curve y = (5x+4)/(3x -8) at the point (2, -7)

(Much easier to explain in conversation and with drawings): But, 

An application of the quotient rule, stating that for f(x)=a(x)/b(x), f'(x) = a'(x)b(x) - a(x)b'(x) all over [b(x))]^2 Here, a(x) =...

BR
Answered by Ben R. Maths tutor
5464 Views

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