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How do I find the coordinates of the turning point of the graph: y=3x^2-6x+7 ?

Our first step here is to differentiate the equation of the graph. To do this we will differentiate each of the three parts in the equation, as follows: To differentiate 3x^2, we first multpily the 3 in fron...
JD
Answered by Joshua D. • Maths tutor
7037 Views

Show that the recurring decimal 0.13636... can be written as the fraction 3/22

First of all, identify how many digits are recurring in the decimal, in this case it's two: 0.1 36 36...Let x = 0.1363636...Since there are two digits recurring we use 100x = 13.63636... (if it is 1 digit we...
VC
Answered by Vanessa C. • Maths tutor
15316 Views

One of the teachers at a school is chosen at random. The probability that this teacher is female is 3/5. There are 36 male teachers at the school. Work out the total number of teachers at the school.

Assuming that every teacher at the school is either male or female, we can work out that the probability that the teacher chosen at random is male is 2/5, because 1 - 3/5 = 2/5, and therefore we know that tw...
RM
Answered by Rajan M. • Maths tutor
3487 Views

Solve the following simultaneous equations: x^2 + y^2 = 5, y - 3x = 1.

Begin by rearranging equation 2 so that it is in the form y = ... Substitute this into equation 1 Expand the brackets and simplify the equation so that it is in the form Ax^2 + Bx + C = 0 Factorise this quad...
DO
Answered by Daniel O. • Maths tutor
3750 Views

Find the value of cot(π/3)

Pi radians is equal to 180 degrees . Radians are a unit of measurement for angles, just like degrees are, and pi is just the number of radians that makes up that angle. 180 divided by 3 is 60 so we get cot(6...
SD
Answered by Stefan D. • Maths tutor
8301 Views