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y=mx+c. If m=5, x= -3 and c=1, find y

First off multiply m and x together. This is -3*5 = -15. Next, add c to the previous result, so -15+1=-14. This gives y=-14
KK
Answered by Kamaal K. • Maths tutor
3698 Views

Prove or disprove the following statement: ‘No cube of an integer has 2 as its units digit.’

This is a very standard proof question for the C3 exam. The first thing that I would do when I see wordy proof statements like this is to make sure I understand what it means. Maybe writing out the statement...
TD
Answered by Thomas D. • Maths tutor
7194 Views

Solve the simultaneous equations: (1) y – 2x – 4 = 0 , (2) 4x^2 + y^2 + 20x = 0

Rearrange (1): y=2x+4 Subsitute this into (2): 4x 2 +(2x+4) 2 +20x=0 Simplify and collect like terms: 8x 2 +36x+16=0 Factorise: (2x+1)(x+4)=0 Therefore: 2x+1=0 -> x=-0.5 and x+4=0 -> x=-4 Substitute th...
AT
Answered by Anastasia T. • Maths tutor
4520 Views

A small stone is projected verically upwards from a point O with a speed of 19.6ms^-1. Modeeling the stone as a particle moving freely under gravity find the time for which the stone is more than 14.6m above O

S = 14.7, U = 19.6, V =, A = -g, T = t using s = ut + 1/2 at^2 14.7 = 19.6t + 1/2 -g t^2 1/2 g t^2 - 19.6t + 14.7 = 0 t = (19.6 +- sqrroot(-19.6 2 - 4 * 0.5 * 9.8 * 14.7)) / 2 * 0.5 * 9.8 t = 1 and t = 3 The...
HB
Answered by Hamish B. • Maths tutor
5107 Views

Solve for x, 15x+8 = 53

15x + 8 = 53 15x = 53-8 = 45 x = 45/15 = 3
SK
Answered by Sarah K. • Maths tutor
5487 Views