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Factorise 3x^2 + 14x + 8

To factorise polynomials of the form ax^2 + bx + c, we want to rewrite the middle coefficient as the sum of ...

Answered by Alex M. Maths tutor
9190 Views

A circle C1 has a centre at (3,0) and a radius 8. A second circle C2 has a centre (x,0) and radius 6. Given the radii of the 2 circles meet at right angles. Find x

Gven the radii of the circles meet at right angles then a right angled triangle can be constructed were the hypotenuse is the distance between the centres. Using the Pythagorean triplet, the hypotenuse is...

Answered by Adam J. Maths tutor
2128 Views

In a village the number of houses and the number of flats are in the ratio 7 : 4. The number of flats and the number of bungalows are in the ratio 8 : 5 . There are 50 bungalows in the village. How many houses are there in the village?

H:F F:B7:4 8:550 bungalows, so bungalows have been multiplied by 10 to get from 5 to 50. So now we have to do the same process to the flats so we multiply 8 by 10 to get 80 flats. Now we need to get to 80...

Answered by Isra A. Maths tutor
6702 Views

The function f is defined by f (x) = e ^(x+2), where x is any real number. Find f ^-1(x) and state its domain.

y=ex+2 , we want to make x the subject, x+2=ln(y), x=ln(y)-2, now that x is the subject, the inverse of the function can be found by swapping the x and the y. Therefore the inverse function ...

Answered by Jacob C. Maths tutor
3140 Views

2x^2-7x+3=0, solve the following for the two solutions of x

X=1/2X=3

Answered by Alireza J. Maths tutor
1976 Views

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