Which property was used to simplify the expression? 3c+9+4c=3c+4c+9
distributive property
commutative property
associative property
inverse property
Answers
Answer:
commutative property
Step-by-step explanation:
Either order or way you put the numbers, it will be the same answer.
Related Questions
The tread life on tires produced at one factory has a standard deviation of sigma equals 4 comma 000 miles. What is the standard deviation of the sampling distribution of the sample means given the sample size is 4
In which quadrant of the coordinate plane is the point (−4,1) located
5.X1 1 2 2 3 3 4FX) -1 3 4 0 5 1 6Label:Explanation:
Find three consecutive numbers whose sum is 612
Answers
Answer:
20%
Step-by-step explanation:
The reason it is 20% is due to the fact that if you put it in a form showing 250/250 = 100/100 and put another proportional rate underneath it showing 200/250 = x/100, you would have to multiply the numerator of the fraction on the left by the denominator of the fraction on the right to get 20000. Now you divide 250 from 20000 and get x for 80, resulting in 80/100 or 80%. All you have to do now is subtract 100-80, which equals 20, resulting in 20%.
Hope that helps!! It's my first time in answering so, ya. ;D goodluck!
Answers
Step-by-step explanation:
Explanation 8 divided by 4 Is 2
2. A unique solution exists in the entire xy-plane.
3. A unique solution exists in the region y ≤ x.
4. A unique solution exists in the region consisting of all points in the xy-plane except the origin.
5. A unique solution exists in the region x2 + y2 < 1.
Answers
A unique solution exists in the region consisting of all points in the xy-plane except the origin.
The correct option is 4.
The given differential equation is:
(x² + y²)y' = y²
The equation can be rewritten as:
We need to determine a region of the xy-plane for which the differential equation would have a unique solution whose graph passes through a point (x₀, y₀) in the region.
To determine the region, we can use the existence and uniqueness theorem for first-order differential equations.
According to the theorem, a unique solution exists in a region if the differential equation is continuous and satisfies the Lipschitz condition in that region.
To check if the differential equation satisfies the Lipschitz condition, we can take the partial derivative of the equation with respect to y:
dy/dx = y / (x² + y²)
The partial derivative is continuous and bounded in the entire xy-plane except at the origin (x=0, y=0).
Therefore, the differential equation satisfies the Lipschitz condition in the entire xy-plane except at the origin.
Since the differential equation is continuous in the entire xy-plane, a unique solution exists in any region that does not contain the origin. Therefore, the correct answer is:
A unique solution exists in the region consisting of all points in the xy-plane except the origin.
To learn more about the Lipschitz condition;
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Final answer:
The differential equation will have a unique solution in the entire xy-plane except at the origin, as both the function and its partial derivatives are continuous and well-defined everywhere except at that point.
Explanation:
To determine a region of the xy-plane where the differential equation (x2 + y2)y' = y2 has a unique solution passing through a point (x0, y0), we need to consider where the function and its derivative are continuous and well-defined. According to the existence and uniqueness theorem for differential equations, a necessary condition for a unique solution to exist is that the functions of x and y in the equation, as well as their partial derivatives with respect to y, should be continuous in the region around the point (x0, y0).
We note that both the function (x2 + y2)y' and its partial derivative with respect to y, which is 2y, are continuous and well-defined everywhere except at the origin where x = 0 and y = 0. Therefore, a unique solution exists in the region consisting of all points in the xy-plane except the origin.
From the given options, the correct answer is:
4. A unique solution exists in the region consisting of all points in the xy-plane except the origin.
Learn more about Differential Equations here:
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Answers
Answer:
Hi there
1. 28
2. -18
3. -26
4. 14
5. -7
6. 2
7. -17
8. 12
9. -12
10. -15
11. 24
12. 8
13. 2
14. 4
15. - 23
16. - 9
Step-by-step explanation:
there is a easy step to integers
1. if there is a plus then minus or vice versa way then u should subtract .
( + - = - )
2. if there are two plus signs then, add .
( + + = + )
3. if there are two minus signs then , subtract
( - - = - )
hope u understand
Answers
Answer:
x = -7
Step-by-step explanation:
Answers
Given initial savings are 15,000 dollars.
It says to place one-third in an account with 4.6% APR compounded annually. So we invest $5,000 in this account.
Amount after 3 years = 15000(1+0.046)³ = 17,166.68 dollars.
Remaining Balance = 15,000 - 5,000 = 10,000 dollars.
It says to place one-quarter of the remaining balance into 3-year bond with 5.2% APR compounded annually. So we invest $2,500 in this bond.
Bond's value after 3 years = 2500(1+0.052)³ = 2,910.63 dollars.
Remaining Balance = 10,000 - 2,500 = 7,500 dollars.
It says to invest rest in a stock that increases in value 3% the first year; decrease 8% in value the second year; and increases 6% in value in the third year.
Stock's value after 3 years = 7500×(103%)×(92%)×(106%) = 7500 x 1.03 x 0.92 x 1.06 = 7,533.42 dollars.
Total amount after 3 years = Saving Account + Bond value + Stock value = 17,166.68 + 2,910.63 + 7,533.42 = 27,610.73 dollars.
Total Gain in the original savings = 27,610.73 - 15,000 = 12,610.73 dollars