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Solve the simultaneous equations. 2x+5y=-4 and 7x+y=19

This can be solved using either substitution or elimination. I think this question is best approached by elimination.By elimination: Multiply the second equation by 5. The minus the first equation ...

Answered by Nisha W. • Maths tutor

3106 Views

Sam is a bodybuilder. He currently weighs 90kg, but is aiming to be at 130kg in the next four months. Every month, he puts on 8% of his weight. Does he reach his target?

90kg x (1.08)^4= 122.44....No, he does not reach his target

Answered by ANGELICA S. • Maths tutor

2738 Views

Prove the square root of 2 is irrational

Explain proof by contradictionAssume sqrt(2) is rational i.e. can be expressed as the ratio of two integers: a/bUse algebraic steps to find this statement results in a contradictionirrationality proved by...

Answered by Joseph P. • Maths tutor

3097 Views

Why does integration by parts work?

Let's consider the form of the formula we use for integration by parts: the integral of u * dv/dx = uv - the integral of v * du/dx. We know that integration is the inverse of differentiation, so we should...

Answered by Tomas S. • Maths tutor

4119 Views

Find the area enclosed by the curve y = cos(x) * e^x and the x-axis on the interval (-pi/2, pi/2)

To find the area enclosed by a function, we need to use integration. Here, the function is not easy to integrate just by inspection, but it is the product of two functions we do know how to integrate: cos...

Answered by Tomas S. • Maths tutor

3179 Views