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n is an integer such that 3n + 2 ≤ 14, and 6n/(n^2 + 5) >1. Find all possible values of n.

Step 1: Simplify 3n + 2 ≤ 14 3n ≤ 12 n ≤ 4 and 6n > n^2 + 5 0 > n^2 -6n + 5 Factorise (n-5)(n-1) < 0 Step 2: Let (n-5)(n-1) = 0, so n=5 or n=1 If (n-5)(n-1) < 0, then 1<n<5 (use graph/subst...
CM
Answered by Catriona M. • Maths tutor
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With reference to relevant research studies, to what extent is one cognitive process reliable

The extent to which memory is a reliable process has been extensively explored empirically. Despite the importance based on eye witness testimony within legislation, as early as 1932, research indicated that...
MH
Answered by Millie H. • Psychology tutor
2996 Views

Solve (x+10)(x-16)=0

x+10=0x= -10x-16=0x= 16
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Answered by Sophie T. • Maths tutor
3449 Views

(x+3)(x-4)(x+5) is identical to x^3 +ax^2 -17x+b. Find the value of a and the value of b.

Multiplying out the first two brackets gives (x^2-x-12)(x+5). Multiplying the remaining brackets gives x^3 + 4x^2 -17x - 60. a = 4b = 60
AE
Answered by Aeron E. • Maths tutor
8641 Views

Solve the simultaneous equations : x ^2+2y=9, y=x+3 to find solutions for x and y.

We must use the substitution method for this question because the first equation is a quadratic. Take the more simple equation (the second one), and use that to substitute the value for y in to the first equ...
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Answered by Callum R. • Maths tutor
3752 Views