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3 years ago

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:

The slope 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.

The y-intercept 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:

$X \sim N(204,55)$