Top answers

For all values of x f(x) = x^2 + 2 g(x)= x - 5 show that fg(x) = x^2 -10x +27

Firstly, we have to substitute g(x) into the function f(x)So, fg(x) = (g(x))^2 +2 Next we must rewrite the equation on the RHS in terms of x only So, fg(x) = (x-5)^2 +2 Next we must simplify the RHS by expan...
YS
Answered by Yasmin S. • Maths tutor
8447 Views

What velocity should your boat have if you want to cross a 72m wide river in 6s by the shortest distance, with a 5 m/s downstream current?

Key physics concepts: Velocity vectors, Distance/speed/time relations Key mathematical concepts: Trigonometry, Pythagorean triples, Vector addition/subtraction.Recall that velocity is a vector quantity, and ...
Answered by • Physics tutor
2594 Views

What are the different types of price discrimination that can be employed?

First-degree price discrimination, alternatively known as perfect price discrimination, occurs when a firm charges a different price for every unit consumed. The firm is able to charge the maximum possible p...
Answered by • Economics tutor
2675 Views

How is blood glucose levels controlled by the body (homeostasis) ?

Controlling high blood glucose Blood glucose levels are important to control because glucose is our key source of energy in respiration. When blood glucose levels are too high, this is detected by the pancre...
NB
Answered by Nazeya B. • Biology tutor
3549 Views

In a village the number of houses and the number of flats are in the ratio 7 : 4 the number of flats and the number of bungalows are in the ratio 8 : 5 There are 50 bungalows in the village. How many houses are there in the village?

Good question! This is exactly the kind of question that could come up on the GCSE non-calculator paper. I think the main thing that makes this question tricky is sifting out the information and figuring out...
EJ
Answered by Ellie J. • Maths tutor
22466 Views