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Sketch a graph of the equation of y=3x+2

Looking at this equation you can see that it is in the form of y = mx + c and we know that this is the equation of a straight line. One way to solve this would be to inspect the equation and see that the c c...
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Answered by Hannah B. • Maths tutor
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Rationalise the denominator of the fraction 3/sqrt(5)

In order to rationalise the denominator we need to get rid of the surd (square-root) on the bottom of the fraction. To do this, we can multiply the denominator by sqrt(5). But we must notice that to keep the...
MM
Answered by Murray M. • Maths tutor
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Does the function y=x^3+x+(x^2+1)e^x have a horizontal tangent?

We want to determine whether a function has a tangent which is horizontal. To answer the question we need to know what a horizontal tangent to a function means. A tangent to a graph of a function is a line w...
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Answered by Daniel E. • Maths tutor
6999 Views

Solve the simultaneous equations: y=5-x and y=x+1.

Since y is equal to both 5-x and to x+1, we know that 5-x is equal to x+1. We can write 5-x=x+1. Take 1 away from each side: 4-x=x. Then add x to each side: 4=2x. Divide both sides by 2: 2=x. Now we have x, ...
CW
Answered by Charlotte W. • Maths tutor
19728 Views

Work out 51% of 400? (No calculator)

Finding 51% of 400 is the same as finding 50% of 400, and 1% of 400, and adding them together. Finding 50% of a number is the same as finding half of the number, since half of 100% is 50%. Half of 400 is 200...
CW
Answered by Charlotte W. • Maths tutor
27027 Views