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How do I solve these two equations simultaneously: 7x+y=1 and 2x^2 - y = 3

These types of questions can sometimes throw people off due to the quadratic nature of the second equation but don't fret; we'll use a method called substitution to find the answer!

Firstly, we

Answered by Zacchaeus S. • Maths tutor

2996 Views

The distance from the Earth to the Sun is 93 million miles. Assume it takes 365 days for the Earth to travel once around the Sun the Earth travels in a circle with the Sun at the centre. Work out the average speed of the Earth in miles per hour

1^st calculate: 93 000 000 × 2π 2^nd calculate: 365×24 Then divide the two values: 186 000 000π÷8760 = 66705 (5 s.f.)

Answered by Simbarashe J. • Maths tutor

9009 Views

Find the turning points and their nature of the graph y = x^3/3 - 7x^2/2 + 12x + 4

Answer = (3,17.5) maximum (4,17.33) minimum

First differentiate y = x^3/3 - 7x^2/2 + 12x + 4 to find dy/dx. Now, at turning points dy/dx = 0 and factorise to find x when dy/dx = 0. Put x back into ...

Answered by John S. • Maths tutor

8637 Views

Integrate (2x)(e^x)dx

Solve via Integration by parts:

let u=2x and dv/dx=e^x

the function that is u and the one that is dv/dx is given by LATHE (easier to explain on whiteboard)

make the table: u...

Answered by Maksadul R. • Maths tutor

22079 Views

There is a right-angle triangle with hypothenus H = 5 cm and side A = 3 cm. Find the length of the third side B using Pythagoras' Theorem.

Pythagoras' theroem states that on a right-angle triangle, the square of the longest side (hypothenus) is equal to the sum of the squares of the other two sides.

Therefore, H²= A^2<...

Answered by Ashwin V. • Maths tutor

3238 Views