Top answers

Describe and explain the change in the shape of the graph y=x^2 and y=x^2 + 2.

The graph is translated by two in the positive y-axis direction. For example, for the equation y=x 2 , taking the x-axis values of 0,1,2 and 3, y= 0 2 ,1 2 , 2 2 and 3 2 respectively: These values being 0,1,...
MS
Answered by Matthew S. • Maths tutor
5508 Views

(a) Find the set of values of k that satisfy the inequality k^2 - k - 12 < 0. (b) We have a triangle ABC, of lengths AC = 4 and BC = 2. Given that cos B < 1/4 , find the range of possible values for AB:

Solution: Let us consider the function f(k) = k 2 - k -12. Firstly, we want to find out the roots of this function. We calculate the discriminant: Δ = b 2 – 4 a c = 49 hence we get the roots: k 1 = (1-7)/(2 ...
AH
Answered by Alexandru H. • Maths tutor
6506 Views

Please expand (y+2)(y-3).

We will use the FOIL method. Here FOIL stands for: First, Outside, Inside, Last. This means we start by multiplying the first terms in each bracket together to get y 2 . Then we multiply the outside terms to...
MB
Answered by Mary B. • Maths tutor
8798 Views

Please solve the following simultaneous equations 4x + 7y = 336 y = 6x + 2

Step 1 - through previous experience realise this equation can be solved by the substitution methodStep 2 - rearrange for the part you want to sub in, in this case it is done for us as Y is the variable we w...
ES
Answered by Eleanor S. • Maths tutor
3692 Views

Work out the value of n, the value of A & the value of B (question given below in correct subscript)

(2x 3/2 y -1 ) n = Ax 6 y B First of all both sides need to be written in the same format so simplify the left hand side. 2 n (x 3/2 ) n (y -1 ) n We are given the power of x is 6 so we can write and equatio...
ML
Answered by Megan L. • Maths tutor
4788 Views