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Solve x^2 + 7x + 10 = 0

First factorise the quadratic into the form (x + a)(x + b) = 0.This will make x^2 + ax + bx + ab = 0.Work out a and b so that a + b = 7 and ab = 10.a = 5 b = 25+2 = 7 52 = 10.

SK
Answered by Simone K. Maths tutor
2848 Views

A linear sequence begins: a + 2b, a + 6b, a + 10b, ..., ... Given that the 2nd term has a value of 8 and the 5th term has a value of 44, calculate the values for a and b

This is a linear sequence which we can see increasing by 4b with every consecutive term.

Given the values of the first 3 terms, we can see that the 4th and 5th terms must be a + 14b and a + 18b...

AF
Answered by Alex F. Maths tutor
6659 Views

I’m confused by the difference between using f’(x) and f”(x) to find the minima and maxima of a curve

Imagine you have an object moving through time, like a car on the road. The distance that car travels=xThe speed of that object=f’(x)This is because speed is defined as the the rate of change of distance ...

XZ
Answered by Xorsheed Z. Maths tutor
2213 Views

We have two straight lines AB and CD. The coordinates of A,B and C are A(1,3), B(5,9) and C(0,8). The point D lies on the line AB and is halfway between points A and B. Is the line CD perpendicular to AB?

First of all we need to find the coordinates of the point D. As D is halfway between the two points A and B, to find the midpoint of a line segment, we add the x coordinates then divide by 2, and add the ...

BH
Answered by Bryony H. Maths tutor
5585 Views

Kevser buys 5kg of sweets for £10. She separates the sweets so that there are 250g of sweets in each bag. She sells each bag for 65p. She sells all bags. What is her percentage profit?

1kg = 1000grams 5kg = 5000 grams. 5kg will give 20 bags (5000/250). Total amount she will make from selling is £13. Hence, profit percentage is (13-10)/10*100. Which gives profit percentage since profit i...

KT
Answered by Kevser T. Maths tutor
3057 Views

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