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monitta
3 years ago
9

Find the y-intercept of f(x) = x^3 + 3x^2 - X-3 HURRY

Mathematics
1 answer:
Grace [21]3 years ago
3 0

Answer:

y-intercepts: (-3,0) , (-1,0) , (1,0)

Step-by-step explanation:

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Answer:

The lines are parallel, and their slope is 1/3.

Step-by-step explanation:

Slope = Rise/Run

Rise tells us the distance between the two points on the y-axis and the run tells us the distance between the two points on the x-axis.

For Line 1, the rise is one unit and the run is three units. Therefore, the slope is 1/3.

For Line 2, the rise is one unit and the run is three units. Therefore, the slope is also 1/3.

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Read 2 more answers
A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. (a) The card drawn is 5. The pro
Dmitrij [34]

Answer:

  • a. 1 / 13
  • b. 3 / 13
  • c. 10 / 13

Step-by-step explanation:

<h3>a.</h3>

There are four 5's in the deck. This means that, from 52 possible cards to drawn, we have 4 chances of drawing a 5. This means that the probability will be:

p = \frac{4}{52}

p = \frac{1}{13}

<h3>b.</h3>

For every suit, there are three face cards, J, Q and K. There are 4 suits, so, the total number of face cards its:

4 * 3 = 12

The total possible cards are, still, 52, so, the probability will be

p = \frac{12}{52}

p = \frac{3}{13}

<h3>c.</h3>

We know that the card drawn must be a face card, o not being a face card. There is no third choice here. So, the probability of drawing a face card OR not drawing a face car its:

p = \frac{52}{52} = 1

so

p(the \ card \  is \  a \  face  \ card) + p(the \ card \  is \  not \ a \  face  \ card) = 1

p(the \ card \  is \  not \ a \  face  \ card) = 1 - p(the \ card \  is \  a \  face  \ card)

but, we know that

p(the \ card \  is \  a \  face  \ card = \frac{3}{13}

so

p(the \ card \  is \  not \ a \  face  \ card) = 1 - \frac{3}{13}

p(the \ card \  is \  not \ a \  face  \ card) = \frac{10}{13}

7 0
3 years ago
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