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State the nth term of the following sequence: 3, 7, 11, 15, 19

First we look at the jump between each term:7-3=4, 11-7=4, 15-11=4, 19-15=4So we know that the difference in each step is 4. So our expression with look like 4n+d for some number d.Comparing what we have wit...
HD
Answered by Huw D. • Maths tutor
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x^2-9x+20=0

x 2 -9x+20=0x 2 -5x-4x+20=0x(x-5)-4(x-5)=0(x-4)(x-5)=0x-4=0x=4x-5=0x=5
GL
Answered by Georgia L. • Maths tutor
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Solve these simultaneously to find values for a and b: 6a + b = 16 and 5a - 2b = 19

In order to tackle questions like this with two letters of unknown value, first what we try to do is eliminate one of the variables completely from an equation. If we call 6a + b = 16 eqn 1 and 5a - 2b = 19 ...
MP
Answered by Malvika P. • Maths tutor
5545 Views

write a description of the town you are from

J’habite à Londres, qui est la capitale du Royaume Uni et qui se trouve au sud du pays. Londres est une des plus grandes villes du monde, avec environ 12 million d'habitant. C’est une ville très diverse, ave...
RK
Answered by ROXANA K. • French tutor
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Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.

(x+1)(x+2) = ( x^2 + 3x + 2) - multiplying out the first 2 terms(x^2 + 3x + 2)(x + 3) = x^3 + 3x^2 + 2x + 3x^2 + 9x + 6 - multiplying the product of the first two terms by the last termx^3 + 6x^2 + 11x + 6 -...
RK
Answered by Rachel K. • Maths tutor
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