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3 years ago

Write the equation of a line in slope - intercept form using m=2 and (-1,5)

Mathematics

1 answer:

EastWind [94]3 years ago

6 0

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope $m=2\to y=2x+b$ .

Put the coordinates of the point (-1, 5) to the equation of the line:

$5=2(-1)+b$

$5=-2+b$ add 2 to both sides

$7=b\to b=7$

Answer: $y=2x+7$

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3 years ago

Suppose you have a bag containing 2 black marbles and 3 red marbles. You reach into the bag, select a marble, see what color it

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Answer:

$\dfrac{9}{25}$

Step-by-step explanation:

Given that the bag contains black and red marbles.

Number of black marbles in the bag = 2

Number of red marbles in the bag = 3

Total number of marbles in the bag = Number of black marbles + Number of red marbles = 2 + 3 = 5

Let us have a look at the formula for probability of an event E, which can be observed as:

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Now, the marble chosen at first is replaced.

Therefore, the count remains the same.

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Now, the required probability can be found as:

$P(\text{First red marble})\times P(\text{Second red marble}) = \dfrac{3}{5}\times \dfrac{3}{5} = \bold{\dfrac{9}{25} }$

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2 years ago

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Answer:

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2 years ago

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VashaNatasha [74]

247- 538 = -291
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1 year ago

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