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ValentinkaMS [17]
3 years ago
9

Find the least common denominator for these two rational expressions -8/x^2 -1/5x

Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

If you look at both denominators you can see that they both have an x , the only difference is that one has x^2 and the other one has a 5. therefore we multiply them both and get 5x^3. The answer is 5x^3

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claret purchased 2 handbags and a wallet the cost of each handbag was $10 more then the wallet if she spent a total of $60 for t
faust18 [17]
The cost of the two bags is 25
8 0
3 years ago
Jacey obtains a 30-year 6/2 ARM at 4% with a 2/6 cap structure in the amount of $224,500. What is the monthly payment during the
beks73 [17]
In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula: m= \frac{P( \frac{r}{12}) }{1-(1+ \frac{r}{12})^{-12t}  }
where
m is the monthly payment
P is the amount
r is the interest rate in decimal form 
t is the number years

First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:
\frac{4}{100} =0.04
We also know from our question that P=224500 and t=30, so lets replace those values into our formula to find the monthly payment:
m= \frac{224500( \frac{0.04}{12}) }{1-(1+ \frac{0.04}{12})^{-(12)(30)}  }
m=1071.80

We can conclude that the monthly payment during the initial period is $1071.58<span />
7 0
3 years ago
Which ordered pair represents the y-intercept of the graph of the equation y = -3x - 9?
Mnenie [13.5K]
------------------------------------------------------------------------------------------
Equation
------------------------------------------------------------------------------------------
y = -3x - 9

------------------------------------------------------------------------------------------
Option 1
------------------------------------------------------------------------------------------
If I substitute x = -9, I should get y = 0

When x = -9
y = -3 (-9) - 9
= 18 (I did not get 0, wrong)


------------------------------------------------------------------------------------------
Option 2
------------------------------------------------------------------------------------------
If I substitute x = -3, I should get y = 0
y = -3(-3) - 9
y = 9 - 9 
y = 0 (Yes, I got 0, correct)


------------------------------------------------------------------------------------------
Option 3
------------------------------------------------------------------------------------------
If I substitute x = 0, I should get y = -3
y = -3 (0) - 9
y = 0 - 9
y = -9 (I did not get -3, wrong)


------------------------------------------------------------------------------------------
Option 4
------------------------------------------------------------------------------------------
If I substitute x = 0, I should get y = -9
y = -3 (0) - 9
y = 0 - 9
y = -9 (Yes, I got -9, correct)


------------------------------------------------------------------------------------------
Answer: (-3, 0) and (0, 9) are ordered pairs of the equation (Answer B, D)
------------------------------------------------------------------------------------------

7 0
3 years ago
In a test of corrosion resistance, a sample of 62 Incoloy steel specimens were immersed in acidified brine for 4 hours, after wh
Dmitry [639]

Answer:

p-value = 0.0063

Step-by-step explanation:

PLEASE CHECK ATTACHMENT FOR COMPLETE SOLUTION AND STEP BY STEP EXPLANATION

7 0
3 years ago
n HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you tha
Dominik [7]

Answer:

0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 17.39 ppm

Standard Deviation, σ = 4.25 ppm

Sample size = 11

We are given that the distribution of printing speed is a bell shaped distribution that is a normal distribution.

Formula:  

z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

P(printing speed of the sample is greater than 17.99 ppm.)  

P(x > 17.99)  

P( x > 17.99) = P( z > \displaystyle\frac{17.99-17.39}{\frac{4.25}{\sqrt{11}}}) = P(z > 0.468229)\\\\P( z > 0.468229) = 1 - P(z < 0.468229)

Calculating the value from the standard normal table we have,

1 - 0.679 = 0321= 32.1\%\\P( x > 17.99) = 32.1\%

Thus, 0.321 is the probability that their mean printing speed of the sample is greater than 17.99 ppm.

8 0
4 years ago
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