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Maths
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How to solve a simultaneous equation?

2x+3y=7 ----(1)x-y=1 -----(2)First, look at how you can eliminate one of the unknowns. Here we can multiply the second equation by 3 to make eliminate the "3y" in the first equation. We will the...

HS
Answered by Ho Sum W. Maths tutor
2831 Views

x : y = 7 : 4, x + y =88. Work out the value of x - y.

Here we use the ratios given to calculate the answer. First we sum add 7 and 4 to find total parts. 7 + 4 = 11. Then we divide 88 by 11. 88/11 = 8.This means we know that each part in the given ratio is 8...

AC
Answered by Alice C. Maths tutor
4775 Views

Eleven pet owners were asked how many pets they had in total. The results are given below. 1, 1, 2, 3, 4, 5, 5, 6, 6, 6, 7 - Two more owners are asked how many pets they have. Including their results the mean goes down to 4 but the mode is unchanged from

1, 1, 2, 3, 4, 5, 5, 6, 6, 6, 7 - n=11mean = 46/11mode= most common so 6after n=13, mean is 413*4=52so 52-46=64 and 2 works1 and 5 not as mode changes3 and 3 not as mode changes

RJ
Answered by Rishi J. Maths tutor
1791 Views

Find the two real roots of the equation x^4 -5=4x^2 Give the roots in an exact form.

Disguised quadratic. Let y=x^2So quadratic become y^2-4y-5=0so (y-5)(y+1)=0so y=5 and y=-1so x^2 = 5 or -1cannot be -1 as not real henso x^2=5x=+-sqrt(5)

RJ
Answered by Rishi J. Maths tutor
3714 Views

The straight line L1 passes through the points with coordinates (4, 6) and (12, 2) The straight line L2 passes through the origin and has gradient -3. The lines L1 and L2 intersect at point P. Find the coordinates of P.

Find equation of line 1 in terms of x. eg y=mx+c - Using gradient and points. Equation of line 2 is just y=-3xSo -3x=mx+c of line 1Find xSub into one equation to find the y point.Done

RJ
Answered by Rishi J. Maths tutor
10037 Views

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