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frosja888 [35]
3 years ago
9

Find the slope and y-intercept. Pleasee

Mathematics
2 answers:
masha68 [24]3 years ago
6 0

Answer:

slope=-2\\\\y-intercept=6

Step-by-step explanation:

<u><em>The slope</em></u> is the change in the y-axis over the change in the x-axis. To find the slope, you need to move vertically from a given point. Once you are horizontal to another point, move over to it. Count the spaces between each:

  • Start at (0,6)
  • Move down to (0,4). Since you moved down two spaces, use the value -2 to define the rise
  • Move to the right to point (1,4). Since you moved to the right 1 space, use the value 1 to define the run.
  • Insert the values into \frac{rise}{run} → \frac{-2}{1}
  • Simplify → -2

Therefore, the slope is -2.

<u><em>The y-intercept </em></u>is where x=0 and where the line crosses over the y-axis. The coordinate point where this happens is (0,6), so the y-intercept is 6.

:Done

tatyana61 [14]3 years ago
3 0

Answer:

slope: -2

y-intercept: 6

Step-by-step explanation:

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How to solve inequalities
shepuryov [24]

Answer:An absolute value inequality is solved by re-writing it as compound inequality. For example.

|x+1| < 5

Since the value inside the absolute value brackets: (x+1) can be positive or negative, it is re-written as a compound inequality as the example below.

x+1 < 5

x+1 > - 5

solve for the range of values x can be

-6 < x < 4

Step-by-step explanation: How to solve inequalities

4 0
3 years ago
Consider a nuclear power plant that produces 1200 MW of power and has a conversion efficiency of 34 percent (that is, for each u
Pachacha [2.7K]

Answer:

Fuel used = 111,303,473,760 MJ/year

Step-by-step explanation:

Power production = Fuel energy * Efficiency

1200 MW = Fuel energy * 0.34

Fuel energy = 1200 MW / 0.34 =3529.41 MW

This means it consumes 3529.41 MJ/s.

Per year, it operates 365 days, 24 hours a day, 3600 seconds an hour.

To calculate the fuel used annualy we have to multiplicate by all these factors

Fuel used = 3529.41 MJ/s * 3600 s/hour * 24 hours/day * 365 days/year

Fuel used = 111,303,473,760 MJ/year

4 0
3 years ago
New York City is the most expensive city in the United States for lodging. The mean hotel room rate is per night (USA Today, Apr
kow [346]

Answer:

P(X

Step-by-step explanation:

Assuming a mean of $204 per night and a deviation of $55.

a. What is the probability that a hotel room costs $225 or more per night (to 4 decimals)?

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean"

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent the cost per night at the hotel, and for this case we know the distribution for X is given by:

X \sim N(204,55)  

Where \mu=204 and \sigma=55

And let \bar X represent the sample mean, the distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

We are interested on this probability

P(X>225)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>225)=P(\frac{X-\mu}{\sigma}>\frac{225-\mu}{\sigma})

=P(Z>\frac{225-204}{55})=P(Z>0.382)

And we can find this probability on this way:

P(Z>0.382)=1-P(Z

8 0
2 years ago
Directions:Simplify the following monomials.SHOW ALL STEPS!
Mandarinka [93]

Answer:

<u>7. Ans</u>;

\frac{6 {a}^{5}  {b}^{7} }{ - 2 {a}^{3} {b}^{7}  }   =  \frac{2 {a}^{3} {b}^{7}(3 {a}^{2} )  }{ - 2 {a}^{3}  {b}^{7} }  =  - 3 {a}^{2}

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<u>8. Ans</u>;

\frac{ - 20 {x}^{3}  {y}^{2} }{ - 5 {x}^{3}y }  =  \frac{ - 5 {x}^{3}y(4y) }{ - 5 {x}^{3}y }  = 4y

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<u>9. Ans</u>;

\frac{ - 16 a {b}^{4}  }{4 {b}^{3} }  =  \frac{4 {b}^{3}( - 4ab) }{4 {b}^{3} }  =  - 4ab

____o____o____

<u>10. Ans;</u>

\frac{21 {m}^{8}  {n}^{5} }{27 {m}^{5} {n}^{4}  }  =  \frac{3 {m}^{5} {n}^{4}(7 {m}^{3} n)  }{3 {m}^{5} {n}^{4}(9)  }  =  \frac{7 {m}^{3}n }{9}

___o___o___

<u>11. Ans;</u>

\frac{ - 15 {x}^{5}  {y}^{4} }{45x {y}^{3} }  =  \frac{ 15x {y}^{3} ( -  {x}^{4} y)}{15x {y}^{3}(3) }  =  -  \frac{ {x}^{4}y }{3}

___o___o___

<u>12.Ans;</u>

\frac{7 {p}^{2}  {q}^{2} }{14 {p}^{2} {q}^{2}  }  =  \frac{7 {p}^{2} {q}^{2}  }{7 {p}^{2} {q}^{2} (2) }  =  \frac{1}{2}  = 0.5

I hope I helped you^_^

7 0
2 years ago
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Ok last one lol i hope
Ksju [112]

Answer:

D!

Step-by-step explanation:

8 0
3 years ago
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