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Solve the following simultaneous equations: x+y=9; x-2y+1=1.

Step 1: x+y=7 can be rearranged as: x= 9 - y.Step 2: We substitute the expression of x in the second equation: 9 - y - 2y + 1 = 1Step 3: We calculate the value of y. 9 + 1 - 1- 3y=0. It is equivalent with...

Answered by Daniel T. • Maths tutor

3666 Views

Find the coordinates of the stationary points for the curve y = x^4 - 2*x^2 + 5.

First solve to find dy/dx.dy/dx = 4x^3 - 4xThe stationary points occur when dy/dx = 0. Solve the equation to find the values of x for when dy/dx = 0.4x(x^2 - 1) = 0 x = 0, x = 1, x = -1Finally su...

Answered by Matthew W. • Maths tutor

5171 Views

120 men and 80 women were asked if they drive to work. Altogether 1/4 of people said yes. And a 1/3 the of men said yes. What fraction of women said yes?

Step 1- Workout how many people overall said yes.
We Know overall there are 200 people and of these 200 people 1/4 said yes. Therefore, we need to workout 1/4 of 200. Simply divide 200 by 4. 200/4=5...

Answered by Harry R. • Maths tutor

9125 Views

Vous êtes en vacances et vous écrivez à votre ami(e) français(e). Mentionnez: où vous êtes, l’hôtel et vos activités de vacances. Ecrivez environ 40 mots en français.

Bonjour, Je suis en vacances à Barcelone avec ma famille. Nous restons dans un hôtel qui a une grande piscine. Aujourd'hui, nous allons à la plage car il fait très chaud. Demain nous allons voir 'La...

Answered by Marion D. • French tutor

3070 Views

Describe what is meant by active transport and state one way in which it is different to simple diffusion

Active transport is the movement of substances from an area of lower concentration to an area of higher concentration. Movement is going against the concentration gradient. This is ATP requiring.Active tr...

Answered by Joshua E. • Biology tutor

2356 Views