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Contact [7]
3 years ago
9

Explain why the sum of two rational numbers is always rational. To earn full credit, you must provide an expression or example A

ND explain.
Mathematics
1 answer:
scoundrel [369]3 years ago
3 0
So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.


a/b and c/d are rational numbers with a,b,c,d intergers

so with the same denominators ( equaling a+c over b) or different ones (equaling ab+cb over bd) they end up with the answers of

same denominator= b is not equal to 0
different denominators= d is not equal to 0



this may not make sense but i'm pretty sure i understood you right
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How might snakes running out of food affect other organisms such as hawks? please help
marissa [1.9K]

Answer:

The population of Hawks and other species would likely start to edge off.

Step-by-step explanation:

Commonly, a Food Chain is dependent on all the parts of it sataying at a perfect point. If the food that the Snakes eat starts to run out, more of them will die off. With less Snakes, the Hawks will then have less food, and that continues throughout the chain. The same thing would happen if there was too much food, except instead of the populations of species dying off, the Snake population would spike.

3 0
2 years ago
The number of pizzas ordered on friday evenings between 5:30 and 6:30 at a pizza delivery location for the last 10 weeks is show
Ainat [17]
For a smoothing constant of 0.2

Time period – 1 2 3 4 5 6 7 8 9 10

Actual value – 46 55 39 42 63 54 55 61 52

Forecast – 58 55.6 55.48 52.18 50.15 52.72 52.97 53.38 54.90

Forecast error - -12 -.6 -16.48 – 10.12 12.85 1.28 2.03 7.62 -2.9
The mean square error is 84.12

The mean forecast for period 11 is 54.38
For a smoothing constant of 0.8

Time period – 1 2 3 4 5 6 7 8 9 10

Actual value – 46 55 39 42 63 54 55 61 52

Forecast – 58 48.40 53.68 41.94 41.99 58.80 54.96 54.99 59.80

Forecast error - -12 6.60 -14.68 0.06 21.01 -4.80 0.04 6.01 -7.80The mean square error is 107.17

The mean forecast for period 11 is 53.56


Based on the MSE, smoothing constant of .2 offers a better model since the mean forecast is much better compared to the 53.56 of the smoothing constant of 0.8.
7 0
3 years ago
What is the initial value in the function 2x + 3y = 6?
maw [93]
<h2>Explanation:</h2><h2></h2>

The initial value of this function is the y-intercept. We know that the slope-intercept form of the equation of a line is given by:

y=mx+b \\ \\ \\ Where: \\ \\ \\ m:slope \\ \\ b:y-intercept

Writing our equation in slope intercept form:

2x + 3y = 6 \\ \\ \\ \text{Subtract 2x from both sides}: \\ \\ 2x -2x+ 3y = 6-2x \\ \\ 3y=6-2x \\ \\ \\ \text{Divide both sides by 3}: \\ \\ y=\frac{6-2x}{3} \\ \\ y=-\frac{2x}{3}+2

So the initial value is:

b=3

5 0
3 years ago
When you subtract 76 by 8 and make it a pattern, then what rule can it be?
ludmilkaskok [199]

Answer:9.5

Step-by-step explanation:

5 0
3 years ago
Which numbers are the extremes of the proportion shown below?
wolverine [178]

Answer:

A 3 and 8

Step-by-step explanation:

if a/b=c/d, the extremes are "a" and "d". The means would then be "b" and "c"

8 0
2 years ago
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