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Kay [80]
2 years ago
13

Find the slope-intercept form from the two points (0,8) and (1, 10).

Mathematics
1 answer:
ratelena [41]2 years ago
3 0

Answer:

y = 2x + 8

Step-by-step explanation:

We want an equation of the form y = mx + b (slope-intercept).

Look what happens to x as we go from (0, 8) to (1, 10):  x increases by 1.  This is the 'run' as we calculate the slope.

At the same time, y increases by 2 from 8 to 10.

The slope is defined as m = rise / run, and here is m = 2/1, or m = 2.

Write out y = mx + b and substitute 2 for m:  y = 2x + b.

To find the y-intercept, substitute 0 (from (0, 8) ) for x and 8 for y:

8 = 2(0) = b, so b = 8, and the desired equation is

y = 2x + 8

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Answer:

Step-by-step explanation:

We first begin by finding how much the total expenses will be;

£6 per person per night = £6 * 2persons * 10nights = £120

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There were approximately 1.6 * 10 pieces of mall processed by the United States Postal
mihalych1998 [28]

Answer:

x = 2.13 × 10^11

Approximately 2.13 × 10^11 mails were processed in 2006

Completed question;

There were approximately 1.6 * 10^11 pieces of mall processed by the United States Postal

Service in 2012. This is about 75% of the number of pieces of mail processed in 2006.

Approximately how many pieces of mail were processed by the United States Postal Service in

2006​

Step-by-step explanation:

Let x represent the number of mails processed in year 2006

Given;

Number of mails processed in 2012 N = 1.6 × 10^11

Number of mails processed in 2012 N is about 75% of the number of pieces of mail processed in 2006.

So;

N = 75% of x

N = 0.75x

x = N/0.75

x = (1.6 × 10^11)/0.75

x = 2.13 × 10^11

Approximately 2.13 × 10^11 mails were processed in 2006

3 0
3 years ago
Use the inequality 18 &lt; -3(4x - 2)<br> Solve the inequality for x. <br> Show your work.
IrinaVladis [17]

Answer:

x > -1

Step-by-step explanation:

Simplify the inequality using the distributive property (multiply the term outside the bracket with each number inside the bracket). Then, isolate 'x' by performing the reverse operations for every number that's on the same side as 'x'. (Reverse operations 'cancel out' a number.)

18 < -3(4x - 2)           Expand this to simplify

18 < (-3)(4x) - (-3)(2)             Multiply -3 with 4x and -2

18 < -12x + 6               Start isolating 'x'

18 - 6 < -12x + 6 - 6                 Subtract 6 from both sides

18 - 6 < -12x                  '+ 6' is cancelled out on the right side

12 < -12x                    Subtracted 6 from 18 on the left side

12/-12 < -12x/-12                    Divide both sides by -12

12/-12 < x                    'x' is isolated. Simplify left side

-1 < x                    Answer

x > -1             Standard formatting puts variable on the left side

6 0
3 years ago
5. Arrival problems usually follow a Poisson distribution, but in this case the time between arrivals of customers at a bank dur
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Answer:

0.5 or 50%

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For any given value of 'x' representing the time between arrivals of two customers. If 0 < x <120, then the cumulative distribution function is:

\frac{x-0}{120-0}=\frac{x}{120}

Therefore, the probability that the time between the arrivals of two customers will be more than 60 seconds is determined by:

P(X>60) = 1 -\frac{60}{120}\\P(X>60) = 0.5

The probability is 0.5 or 50%.

5 0
2 years ago
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