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f(x) = x^2 + 4x − 6 f(x) can be written in the form (x + m)^2 + n. Find the value of m and the value of n.

Because we know (x+m)^2 expanded will provide x^2+2mx+m^2 and we have the extra addition of a value named n we can strictly focus on ensuring the expansion yields x^2+4x and deal with the -6 value by usin...

MG
Answered by Majed G. Maths tutor
9525 Views

A teacher is chosen at random. The probability that the teacher is female is 3/5. There are 36 male teachers. How many teachers in total work at the school?

Info given = probability that the teacher is female = 3/5 36 male Teachers

Workings: If 3/5 are female then 2/5 are male. 2/5 = 36 males 36 divided by 2 = 18 so get the one portion. to find out how...

SS
Answered by Sophie-Mae S. Maths tutor
12505 Views

Which are the difference between polar and coordinate complex numbers?

Polar and coordinase complex numbers are two different ways of represent the same complex numbers. The polar way uses the following formula: Me^(anglej), where M is the modulus of the complex num...

LM
Answered by LORENZO M. Maths tutor
1970 Views

If we have a vector 4x + 6y + z and another vector 3x +11y + 2z then what is the angle between the two?Give the answer in radians

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MS
Answered by Matthew S. Maths tutor
3745 Views

Express 3cos(x)+4sin(x) in the form Rsin(x+y) where you should explicitly determine R and y.

Since Rsin(x+y)=Rsin(x)cos(y)+Rsin(y)cos(x), we can set Rcos(y)=4 (1) and Rsin(y)=3 (2) on comparison to the desired equation. Considering (2) divided by (1) we see that tan(y)=sin(y)/cos(y)=3/4 so y=atan...

WV
Answered by William V. Maths tutor
10469 Views

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