Top answers

You are given that f(x) = cx + d and that f(0) = -6 and f(2) = 10. Find the values of c and d.

f(x) = cx + d f(0) = c 0 + d = d = -6 => d = -6 f(2) = c 2 + d = c 2 + -6 = 10 => c 2 - 6 = 10 => c = (10 + 6) / 2 => c = 8
GJ
Answered by Grace J. • Maths tutor
7470 Views

Find the value of x in (4^5⋅x+32^2)⋅2^5=2^16⋅x

Find the value of x in (4 5 ⋅ x +32 2 )⋅2 5 =2 16 ⋅ x First we transform everything into powers of 2 as all the numbers involved in this equation are multiples of 2. || 4 5 = (2 2 ) 5 = 2 2*5 = 2 10 || 32 2 ...
LC
Answered by Luis C. • Maths tutor
7911 Views

Find the inverse of a 3x3 matrix

There are 4 key steps to this question. (i) calculate the matrix of minors: you want to find the determinant of each entry and this forms a new matrix. (ii) convert this into a matrix of cofactors: this is a...
JR
8042 Views

A ladder 5m long is leaning up against a wall. The foot of the ladder is 3m from the wall. How high up the wall does the ladder reach?

Think about which mathematical theorem you might want to use for this question (Pythagoras: a 2 + b 2 = c 2 ) Draw a diagram of the situation described, and write down the equation you think you should use. ...
JR
Answered by Josie R. • Maths tutor
15737 Views

How might you use sound waves to smash a glass? What are other examples of resonance in everyday life?

The natural frequency of a glass can be found by tapping it or making it 'sing' (running a wet finger around the top of the glass till it sings a note. If you emit sound waves at this frequency in the direct...
JR
Answered by Josie R. • Physics tutor
2864 Views