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Express 6x^2+4x-1 in the form a(x+b)^2+c

In this case we need to complete the square as follows:6((x+2)^2-4)-1= 6(x+2)^2-24-1= 6(x+2)^2-25where a = 6, b = 2, c = -25

AH
Answered by Ahmad H. Maths tutor
4044 Views

A bag contains 4 red counters and some blue counters in the ratio 1:4 respectively. How many counters are there in the bag altogether?

Calculate how many blue counters there are first. 4 divided by 1 = 4.4 multiplied by 4 = 16.16 blue counters in the bag.4 red counters and 16 blue counters makes 20 counters in the bag.

EB
Answered by EMMA B. Maths tutor
3920 Views

multiply out (2x-4)(x-2) and simplify.

The method I would use here is FOIL (first outer inner last). A common mistake is not multiplying out all terms, using FOIL will ensure you do this.The working I would expect to see:2x^2-4x-4x+8 (order sh...

BW
Answered by Ben W. Maths tutor
4382 Views

When should I use the nominative case?

The nominative case is used for the subject of the verb, i.e. the noun doing the action. Consider this example: my brother has a dog. In this simple sentence, my brother is the subject of the verb as he o...

EH
Answered by Emily H. German tutor
1773 Views

Why the human heart is described as a "double pump" and what is the physiological significance of this?

The human heart is described as a double pump because blood passes through it and gets pumped out of it twice in a single circuit of the circulatory system. A normal heart is separated into two halves, ri...

JF
Answered by James F. Biology tutor
16742 Views

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