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2 years ago

The c and y intercept

Mathematics

1 answer:

frosja888 [35]2 years ago

6 0

$y + 5 = 2(x + 1)$

$y - intercept \: (x = 0) \\ y + 5 = 2(0 + 1) \\ y + 5 = 2 \\ y = - 3$

<h2>Y intercept: ( 0 , -3 )</h2>

$x - intercept \: (y = 0) \\ 0 + 5 = 2(x + 1) \\ 5 = 2x + 2 \\ 2x = 3 \\ x = \frac{3}{2}$

<h2>X-intercept: ( 1.5 , 0 )</h2>

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Answer:

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3 years ago

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a) 45 possible outcomes

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Step-by-step explanation:

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b) How many samples contain at least 1 nonconforming part?

Solution:

- The question asks for the use of combinations to express the outcomes for each scenario.

- For first part, we want the inspector to pick exactly one non-conforming part among 3 selected. So let us say that he has already chosen that one non conforming cavity. Now he has to make 2 more selections out of total conforming cavities = 12 - 2 = 10 conforming cavities. Hence, the total possible outcome is to chose 2 randomly from 10 conforming cavities.

( Exactly 1 ) 10C2 = 45 possible outcomes

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( Exactly 2 ) 10C1 = 10 possible outcomes

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(At-least 1 ) = ( Exactly 1 ) + ( Exactly 2 )

(At-least 1 ) = 45 + 10 = 55 possible outcomes

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3 years ago

Determine the ordered pair that satisfies the equation, 6x - 3y = 5.

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Given the equation $6x-3y=5.$