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3 years ago

What is x2-4x=2x+24 equal to 0

1 answer:

3 0

Make equal to zero
x^2-4x=2x+24
minus 2x both sides
x^2-4x-2x=24
minus 24
x^2-6x-24=0
comlpete the square
isolate x^2 and x term
(x^2-6x)-24=0
take 1/2 of -6 and square it (-6/2=-3 (-3)^2=9) and add to both sides inside parethaes
(x^2-6x+9)-24=9
factor perfect square
(x-3)^2-24=9
add 24 both sides
(x-3)^2=33
sqrt both sides
x-3=+/-√33
add 3 to both sides
x=3+/-√33

x=3+√33 or 3-√33

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Roberto and Maria Santanos spend approximately $11.50 per week to wash and dry their family's clothes at a local coin laundry. A

Elena L [17]

Answer:

68 weeks

Step-by-step explanation:

1 week costs $11.50.

so, how many such weekly each cycles fit into the price of new machines ?

if they wait to long (to many weeks) they spend in total more money than buying a new machine.

but if they stay still below that max. number of weeks, they have at least the illusion that they are cheaper of with the weekly laundromat investment (but they forget, sooner or later they will need the new machines).

so the break even point is simply

782 / 11.5 = 68 weeks.

after 68 weeks it has cost them exactly the same amount of money, as if they had bought new machines right away at the beginning.

3 0

2 years ago

The statistical difference between a process operating at a 5 sigma level and a process operating at a 6 sigma level is markedly

Svet_ta [14]

Answer:

True

Step-by-step explanation:

A six sigma level has a lower and upper specification limits between $\\ (\mu - 6\sigma)$ and $\\ (\mu + 6\sigma)$ . It means that the probability of finding no defects in a process is, considering 12 significant figures, for values symmetrically covered for standard deviations from the mean of a normal distribution:

$\\ p = F(\mu + 6\sigma) - F(\mu - 6\sigma) = 0.999999998027$

For those with defects operating at a 6 sigma level, the probability is:

$\\ 1 - p = 1 - 0.999999998027 = 0.000000001973$

Similarly, for finding no defects in a 5 sigma level, we have:

$\\ p = F(\mu + 5\sigma) - F(\mu - 5\sigma) = 0.999999426697$ .

The probability of defects is:

$\\ 1 - p = 1 - 0.999999426697 = 0.000000573303$

Well, the defects present in a six sigma level and a five sigma level are, respectively:

$\\ {6\sigma} = 0.000000001973 = 1.973 * 10^{-9} \approx \frac{2}{10^9} \approx \frac{2}{1000000000}$

$\\ {5\sigma} = 0.000000573303 = 5.73303 * 10^{-7} \approx \frac{6}{10^7} \approx \frac{6}{10000000}$

Then, comparing both fractions, we can confirm that a 6 sigma level is markedly different when it comes to the number of defects present:

$\\ {6\sigma} \approx \frac{2}{10^9}$ [1]

$\\ {5\sigma} \approx \frac{6}{10^7} = \frac{6}{10^7}*\frac{10^2}{10^2}=\frac{600}{10^9}$ [2]

Comparing [1] and [2], a six sigma process has 2 defects per billion opportunities, whereas a five sigma process has 600 defects per billion opportunities.

8 0

2 years ago

What’s the output?

4vir4ik [10]

The output would be 81

8 0

3 years ago

Urgent

Damm [24]

The result of our calculations about the rate and time are:

r=d/t

200000m/hr

200km/hr

km/hr

Rate can be regarded as the given object with respect to time.

falcon flies= 800,000 meters

t= 4 hours

We were given the formula as (d = rt)

d= distance

r = rate

t = time

We can make our calculations as:

part a:

r=d/t

part b:

falcon's rate in meters per hour = 800,000 meters / 4 hours = 200000m/hr

part c:

falcon's rate in kilometers per hour=(200000m/hr *(1/1000)=200km/hr

part d:

km/hr

Learn more about rate at:

brainly.com/question/8728504

#SPJ1

4 0

2 years ago

Which statement below best describes the transformation of parallelogram WXYZ to parallelogram W' X' Y' Z'?

Arisa [49]

The answer is B. A reflection across the x-axis.

6 0

3 years ago

Read 2 more answers