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leonid [27]
3 years ago
9

Consider the following polynomial. What is the coefficient of the 3rd term? 2x^3+3x^2-5x+14

Mathematics
1 answer:
Anni [7]3 years ago
5 0

Answer: The coefficient is 3x

Step-by-step explanation:

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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
3 years ago
the sea leopard fishing boat has pulled into harbor with its cargo hold full crabs. The captain must let the harbormaster know h
denis-greek [22]

Answer:

Kilogram or kg

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3 years ago
PLEASE HELP NOW!!!!!!!!!!!!!!!!!!!
Dahasolnce [82]

Answer:

8 + k² - 6 > 8(k + 2) - 4k when k = 7

Step-by-step explanation:

8 + k² - 6 = 8 + 7² - 6 = 51

8(k + 2) - 4k = 8(7 + 2) - 4(7) = 8(9) - 28 = 44

8 + k² - 6 > 8(k + 2) - 4k when k = 7

8 0
2 years ago
What is the hight of a cone with a radius of 4 inches and of volume of 8 cubic inches? Round your Answer to the tenths place.
Scorpion4ik [409]

Answer:

0.48

Step-by-step explanation:

You use the formula V=πr2 h/3

6 0
2 years ago
Six times a number equals 3 times the number, increased by 12. Find the number
tino4ka555 [31]

Answer:

x=4

Step-by-step explanation:

"A number" can be rewritten as X:

6x=3x+12

1) subtract 3x on both sides:

3x=12

2) divide both sides by 3:

x=4

4 0
3 years ago
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