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elixir [45]
2 years ago
9

Evaluate the discriminant for x2-5x+4=0

Mathematics
1 answer:
FromTheMoon [43]2 years ago
8 0
9 is your answer, hope this helps

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Carlota wrote the equation y + 1 = 2 (x - 3) for the line passing through the points (-1, 3) and (2, 9). Explain and correct her
Art [367]

For this case we have the following equation:


y + 1 = 2 (x - 3)

That can be rewritten in the form y = mx + b

Where:


  • m is the slope of the line
  • b is the cut point

So, we have:


y + 1 = 2 (x - 3)\\y + 1 = 2x-6\\y = 2x-6-1\\y = 2x-7

Where:


m = 2 is the slope


b = -7 is the cut point


Carlota has the following points:


(-1, 3) and (2, 9)


To know if the line y = 2x-7 passes through these points, we must replace them in the equation and the equality must be fulfilled. So:


Point (-1, 3):


Substituting:


3 = 2 (-1) -7\\3 = -2-7

3 = -9 It's false, equality is not met. The point (-1, 3) does not go through the line.


The equation written by Carlota is erroneous, the procedure to follow is:


Given(x1, y1) = (- 1, 3) and(x2, y2) = (2, 9), we find the slope:


m=\frac{(y2-y1)}{(x2-x1)}

m=\frac{(9-3)}{(2-(-1))}

m=\frac{6}{3}

m=2

We observe that the slope found by Carlota is the same. Let's see cut point "b". For this we substitute any of the points given in the equation:


y = 2x + b

Substituting (2,9) we have:


9 = 2 (2) + b\\9 = 4 + b\\b = 9-4\\b = 5

Thus, Carlota's error was at the cut-off point. The correct equation of the line that passes through the given points is y = 2x + 5

Answer:


The correct equation of the line that passes through the given points is y = 2x + 5

Carlota's mistake was at the cutoff point


5 0
2 years ago
"16 more than five times a number results in -29"
Thepotemich [5.8K]

Answer:

The number is -9

Step-by-step explanation:

Let the number be x

Therefore, 16 + 5x = -29

5x = -45

x = -9

The number is <u>-</u><u>9</u>

4 0
3 years ago
You are trying to forecast coffee sales for the holiday season. You sold 1,500 cups of coffee during the holidays last year, but
Airida [17]
Hello there!


You expect to sell 100% - 20% = 80% of many coffee sales.

0.80 * 1500 = 1200 

Your answer is 1200 cups of coffee.


Hope I helped!

Let me know if you need anything else!

~ Zoe
5 0
3 years ago
3) Given the box plot below, what is the lower quartile and upper quartile? *
Allisa [31]

Answer:

A. lower quartile is 3 and upper quartile is 8

im pretty sure but idkk

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How long will it take to finish something with three different rates?
MariettaO [177]
Like fivee minuts depending on how fast you work
3 0
3 years ago
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