All categories

3 years ago

Explain how you find ordered-pair solutions of the equation 3x – 5y = 15, and then find two such solutions.'

1 answer:

5 0

The constant on the right is divisible by the coefficients on the left, so two solutions are
(x, y) = (5, 0) or (0, -3)

The slope of the line is 3/5, so increaing y by 3 and x by 5 will result in another solution. One general parametric solution is then
x = 5n
y = 3n-3
_____
Integer values of n will result in integer solutions. Any value of n will yield numbers that satisfy the equation.

In general, the extended Euclidean algorithm can be used to find integer solutions. Then adding multiples of some number n to y and x in the ratio of the slope of the line will yield other solutions.

You might be interested in

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for t

rjkz [21]

Answer:

COV (all stocks) = 0.55

COV (stocks and bonds) = 0.82

Step-by-step explanation:

Coefficient of Variation is used to measure variability.

It is defined as the ration of standard deviation and the mean.

It can be used to compare variability of two population or two samples.

Formula:

$\text{Coefficient of Variation} = \displaystyle\frac{\text{Standard Deviation}}{\text{Mean}}$

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

x: 14, 0, 39, 25, 32, 27, 28, 14, 14, 15

$Mean = \frac{208}{10} = 20.8$

$Standard~Deviation = \sqrt{\frac{1169.6}{9} } = 11.39$

$Coefficient~of~Variation = \frac{11.39}{20.8} = 0.55$

y = 6, 2, 29, 17, 26, 17, 17, 2, 3, 5

$Mean = \frac{124}{10} = 12.4$

$Standard~Deviation = \sqrt{\frac{924.4}{9} } = 10.13$

$Coefficient~of~Variation = \frac{10.13}{12.4} = 0.82%$

Since coefficient of variation of x is less compared to y, thus it could be said bonds does not reduce overall risk of an investment portfolio.

6 0

3 years ago

What is the difference between these two expressions?

mariarad [96]

Answer:

The answer is:

Option 4; (14+ 9) 4 is twice as much as(14 + 9) 2

Thanks

5 0

3 years ago

Read 2 more answers

Zoey buys A new game for $45 there is a 4% tax what will be the final cost of the game

sleet_krkn [62]

Step1. find the how much he buy he buy 45
step2. find the % the % is 4 move to decimal left 4% which is .04
step3. multilply the how much he buy or the % so this is that 45*.04=1.8
step4. what are they said they said tax is like add so we got 1.8+$45=46.8
so the answer is 46.8
look at what is the step and you understand the problem more easy way.

5 0

3 years ago

What is the left wedges surface area??

dimaraw [331]

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

3 0

3 years ago

Read 2 more answers

The lot is 1 1/2 acre in all. School uses 1/8 and basketball court uses 3/8 how much is left

Mila [183]

I think the answer is 1 im not sure

5 0

3 years ago