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3 postitive whole numbers have a mean of 6. What is the greatest possible range of the numbers?

15: (x+y+z)/3 = 6 so, x+y+z = 18.Range = highest number - lowest number. For the max range, at least 1 of the numbers must be 1. 1,1,16. 16-1 = 15

JW
Answered by Jade W. Maths tutor
7225 Views

X^2+4x-21=0 Solve for x

Quadractics factorise into double brackets like (x-a)(x-b). We ave to find the facors of -21 which add to make +4. 7 and -3 suffice. (x-3)(x+7) Then x will be equal to 3 and -7 for the equation.

JC
Answered by James C. Maths tutor
4571 Views

Why does the second derivative tell us something about a function?

Because by looking at the second derivative of a function you are essentially looking at the rate of change of the rate of change. This carries useful information about a function's behaviour and in some ...

DJ
Answered by Daniel J. Maths tutor
3852 Views

Solve this pair of simultaneous equations: 3x + y= 7 and 3x - y = 5

Step 1: Start off by labeling the 2 equations. 3 x + y = 7 will be equation 1. 3 x - y = 5 will be equation 2.

Step 2: rearrange equation 1 to make y the subject. 3 x + y = 7 ---> y = 7 - 3 x (h...

AG
Answered by Anna G. Maths tutor
14999 Views

How do I invert a 2x2 square matrix?

A 2x2 square matrix is of the format (a b;c d). First you must check whether the matrix is invertible at all: if ad - bc is 0, the matrix is not invertible. The inverse matrix is (1/(ad-bc))*(d -...

AY
Answered by Anita Y. Maths tutor
3892 Views

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