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Plot out y= x^2 - x - 2 for values of x from -3 to +3 and label the turning point

x y-3 10-2 4-1 00 -21 -22 03 4 And then be able to plot out these points on a simple graph. The x-coordinate of the turning point is half way between the two points at which the curve crosses the x-axis. Ins...
TD
Answered by Tutor118205 D. • Maths tutor
3813 Views

Solve the simultaneous equations 3x + y = 4 x + y = 2

Rearrange the second equation (or first) in terms of y (or x) y = 2-xthen subsitute into the other equation 3x + (2-x) = 4The solve for x : 2x = 2 x = 1then subsitute that value for x into any equation and t...
EM
Answered by Eric M. • Maths tutor
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Find the roots of the formula x^2 + 4x + 3 by factorising.

x 2 + 4x + 3 is a quadratic equation. We're looking for a pair of numbers that add to make 4, and multiply together to make 3. Students should be encouraged to try options (e.g. 2 and 2). The pair we need is...
JB
Answered by Joseph B. • Maths tutor
3697 Views

How do I find the equation of a line between two points?

The equation of a line is written in the form y=mx+c where m is the gradient of the line and c is the y-intercept. These are the two values that we will need to calculate.For example, lets take the two point...
LR
Answered by Lucille R. • Maths tutor
4109 Views

Solve the simultaneous equations 3x + 2y = 4, 4x + 5y = 17

To solve this pair of simultaneous equation I will use the substitution method however the elimination method could also be used here. Eq1. 3x + 2y = 4 Eq2. 4x + 5y = 17 First rearrange Eq1. to find y on its...
GH
Answered by George H. • Maths tutor
5936 Views