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1 year ago

Find the equation of a line that passes through the point (-1,-4) and has a gradient of 2.

Mathematics

1 answer:

Thepotemich [5.8K]1 year ago

3 0

The equation of a line that passes through the point (-1,-4) and has a gradient of 2 is y = 2x - 2

<h3>How to find equation of a line?</h3>

The equation of a line can be represented as follows:

y = mx + b

where

m = slope or gradient
b = y-intercept

Therefore,

m = 2

y = 2x + b

-4 = 2(-1) + b

-4 + 2 = b

b = - 2

Therefore,

y = 2x - 2

learn more on equation of a line here: brainly.com/question/22019640

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Answer: Permutation is involved , since order of prizes matters.

The number of different ways the prizes can be awarded =95060

Step-by-step explanation:

Given : Total number of people purchase lottery tickets =100

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Since each prize can be claimed by only one person.

So order matters here, there for we use permutations .

The number of permutations of n objects taken m at a time is given by :-

$^nP_m=\dfrac{n!}{(n-m)!}$

Then, the number of different ways the prizes can be awarded :-

$^{100}P_{3}=\dfrac{100!}{(100-3)!}=\dfrac{100!}{97!}\\\\=100\times98\times97=950600$

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3 years ago

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3 years ago

5 more than the product of 9 and 3

dolphi86 [110]

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2 years ago

tresset_1 [31]

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