Ask question

Ask question

All categories

3 years ago

5

The graph of a system of equations with different slopes will have no solutions. Always Sometimes Never

1 answer:

Papessa [141]3 years ago

6 0

Answer:

Never

Step-by-step explanation:

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Thats what my teacher tought me

You might be interested in

Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.

fredd [130]

$\dfrac{\partial\left(2xy^4+\frac1{x+y^2}\right)}{\partial y}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

$\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

so the ODE is indeed exact and there is a solution of the form $F(x,y)=C$ . We have

$\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)$

$\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)$

$f'(y)=0\implies f(y)=C$

$\implies F(x,y)=x^2y^3+\ln(x+y^2)=C$

With $y(1)=2$ , we have

$8+\ln9=C$

so

$\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}$

8 0

2 years ago

The upper quartile of a set of data is the mode of the upper half of the data. <br> True<br> False

Arturiano [62]

I think it might be false, I could be wrong though.
Hopefully that helped! :)

7 0

3 years ago

Read 2 more answers

Box A is 12 inches by 18 inches by 24 inches. Box B is 12 inches by 12 inches by 30 inches. In cubic inches, how much greater is

Burka [1]

Answer:

Box A's volume is bigger by 864 cubic inches

Step-by-step explanation:

12 × 18 × 24 = 5184

12 × 12 × 30 = 4320

Then we subtract. 5184 - 4320 = 864

8 0

2 years ago

Read 2 more answers

Find the inverse function of h(x) = - 2/3x + 6.

sergij07 [2.7K]

To find the inverse function, interchange the variables and solve for y.
h^-1 (x) = -9 - 3x/2

8 0

3 years ago

Read 2 more answers

Which is the correct graph for *<br> y> 2х – 4<br> А)<br> ОА<br> Ос

user100 [1]

Answer:

your answer would be OA

Step-by-step explanation:

8 0

3 years ago