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Amanda [17]
3 years ago
6

Find the slope given these two points. (-1, 4) and (4, -3)

Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

Answer:

-7/5

Step-by-step explanation:

Since we have 2 points, we can find the slope using

m = ( y2-y1)/(x2-x1)

   = ( -3 -4)/( 4 - -1)

   ( -3-4) /( 4+1)

   -7/5

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A bag contains red marbles, white marbles, and blue marbles. Randomly choose two marbles, one at a time, and without replacement
dsp73

Answer:

P(First\ White\ and\ Second\ Blue) = \frac{3}{28}

P(Same) = \frac{67}{210}

Step-by-step explanation:

Given (Omitted from the question)

Red = 7

White = 9

Blue = 5

Solving (a): P(First\ White\ and\ Second\ Blue)

This is calculated using:

P(First\ White\ and\ Second\ Blue) = P(White) * P(Blue)

P(First\ White\ and\ Second\ Blue) = \frac{n(White)}{Total} * \frac{n(Blue)}{Total - 1}

<em>We used Total - 1 because it is a probability without replacement</em>

So, we have:

P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{21 - 1}

P(First\ White\ and\ Second\ Blue) = \frac{9}{21} * \frac{5}{20}

P(First\ White\ and\ Second\ Blue) = \frac{9*5}{21*20}

P(First\ White\ and\ Second\ Blue) = \frac{45}{420}

P(First\ White\ and\ Second\ Blue) = \frac{3}{28}

Solving (b) P(Same)

This is calculated as:

P(Same) = P(First\ Blue\ and Second\ Blue)\or\ P(First\ Red\ and Second\ Red)\ or\ P(First\ White\ and Second\ White)

P(Same) = (\frac{n(Blue)}{Total} * \frac{n(Blue)-1}{Total-1})+(\frac{n(Red)}{Total} * \frac{n(Red)-1}{Total-1})+(\frac{n(White)}{Total} * \frac{n(White)-1}{Total-1})

P(Same) = (\frac{5}{21} * \frac{4}{20})+(\frac{7}{21} * \frac{6}{20})+(\frac{9}{21} * \frac{8}{20})

P(Same) = \frac{20}{420}+\frac{42}{420} +\frac{72}{420}

P(Same) = \frac{20+42+72}{420}

P(Same) = \frac{134}{420}

P(Same) = \frac{67}{210}

6 0
3 years ago
Which will result in a difference of squares?
Solnce55 [7]

Answer:

Option C) is correct

That is the result should be in a difference of squares is

(-7x+4)(-7x-4)=(7x)^2-4^2

Step-by-step explanation:

To find the result in the form of differences in squares

Given that the expression is (-7x+4)(-7x-4)

(-7x+4)(-7x-4)=(-7x)^2-4^2 ( by using the identity (a+b)(a-b)=a^2-b^2 )

Here a=-7x and b=4

=(7x)^2-4^2

Therefore (-7x+4)(-7x-4)=(7x)^2-4^2 which results as a difference of squares.

Therefore Option C) is correct

That is the result should be in a difference of squares is

(-7x+4)(-7x-4)=(7x)^2-4^2

7 0
3 years ago
Kkhfjrjdjcvhrjrndjcvjvjcjdjdjejdnjf
Gwar [14]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Maddy mows acres in 2 hours how many acres does maddy mw per hour
photoshop1234 [79]
She mows 1/2 an acre per hour
8 0
4 years ago
Help which graph describes exponential decay
DIA [1.3K]

Answer:

Graph 2.

Step-by-step explanation:

The graph is decreasing.

Hope this helps!

If not, I am sorry.

6 0
3 years ago
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