The area of a rectangle is x^2+3x-4 the width of the rectangle is x-1. determine the ratio of the area to the width

Mathematics

1 answer:

Eddi Din [679]2 years ago

7 0

Answer:

x+4

Step-by-step explanation:

The ratio of area to width is ...

area / width = (x^2 +3x -4)/(x -1) = ((x -1)(x +4))/(x -1) = x +4

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Effectively, you are being asked to do polynomial division. This can be accomplished several ways. The method shown above is by factoring the numerator and cancelling the common factor from numerator and denominator.

You can also do this by synthetic division or long divison. The attachment shows synthetic division giving the same answer. (Numerous resources, including Wikipedia and You.Tube, are able to explain synthetic division in detail.)

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How many different 11-letter arrangements can be made using the letters in the word Firecracker?

zhenek [66]

Answer:

Total number of arrangements = 1,663,200

Step-by-step explanation:

Given:

11 - letter

FIRECRACKER

F = 1

I = 1

R = 3

E = 2

C = 2

A =1

K = 1

Find:

Total number of arrangements = ?

Computation:

Note: Repeated letter will be avoid.

$Number\ of\ arrangements = \frac{!11}{!3 \times !2 \times !2}\\\\Number\ of\ arrangements = \frac{!11}{!3 \times !2 \times !2} \\\\Number\ of\ arrangements = \frac{11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3}{3 \times 2 \times 2 } \\\\Number\ of\ arrangements = 1,663,200$