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Bogdan [553]
3 years ago
7

What is the sum of -12 1/2 +4 1/2

Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0

Answer:16 2/4

Step-by-step explanation:

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D: the graph crosses the y-a is at (-6,0), decreasing from x=-10 to x=-2 and remaining constant from x=-2 to x=10.
k0ka [10]

Answer: Choice A) Graph crosses y axis at (0,-5), decreases from x = -10 to x = -2, constant from x = -2 to x = 10

--------------------------------------------------------

The statement "The graph crosses the y axis at (0,-5)" is a true statement because the red line crosses at -5 on the y axis. This allows us to rule out choice D. Choice C can be ruled out because the graph never increases. The graph would have to be moving uphill, as you read from left to right, to be increasing. Choice B is false because the junction point is at x = -2 and not x = 0.

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3 years ago
Whats the MIDPOINT of (2, 4) and (1, -3)
kakasveta [241]
The midpoint is (3/2 , 1/2) .
5 0
3 years ago
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Find the next number in the sequence: 1, 1, 2, -1, 1, -2, -1
Hoochie [10]

answer:-1

reason :

Once the numbers add up, once they decrease

what does it mean?

it mean that:

The first and second numbers we add are one, they become two

The second and third numbers are one and two. We subtract the second number from the third number, it becomes negative one and ...

1+1=2

1-2=-1

2+(-1)=1

-1-(+1)=-2

1+(-2)=-1

so we should - them

-2-(-1)=-1

4 0
2 years ago
There are 7 similarly shaped figures in a set. The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter
andrew-mc [135]
From the statement given above, it can be deduced that the measure of the side of the figure is equal to 1 inch. Thus, the scale factor is 1:7. The ratio of their area should be 1:49. To get the area of the smallest figure, we simply divide the given area of the largest figure by 49, giving us the answer which is equal to 12 in². 
7 0
3 years ago
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Show that (2xy3 + cos x)dx + (3x2 y2 − sin y)dy = 0 is exact, and find the solution. Find c if y(0) = π
Licemer1 [7]

We're looking for a solution of the form F(x,y)=C. By the chain rule, this solution should have total differential

\mathrm dF=\dfrac{\partial F}{\partial x}\,\mathrm dx+\dfrac{\partial F}{\partial y}\,\mathrm dy=0

and the equation is exact if the mixed second-order partial derivatives of Fare equal, i.e. \frac{\partial^2F}{\partial x\partial y}=\dfrac{\partial^2F}{\partial y\partial x}.

The given ODE is exact, since

\dfrac{\partial(2xy^3+\cos x)}{\partial y}=6xy^2

\dfrac{\partial(3x^2y^2-\sin y)}{\partial x}=6xy^2

Then

\dfrac{\partial F}{\partial x}=2xy^3+\cos x\implies F(x,y)=x^2y^3+\sin x+f(y)

\dfrac{\partial F}{\partial y}=3x^2y^2-\sin y=3x^2y^2+\dfrac{\mathrm df}{\mathrm dy}

\dfrac{\mathrm df}{\mathrm dy}=-\sin y\implies f(y)=\cos y+C

\implies x^2y^3+\sin x+\cos y=C

With y(0)=\pi, we get

\cos\pi=C\implies C=-1

\implies\boxed{x^2y^3+\sin x+\cos y=-1}

6 0
3 years ago
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