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3 years ago

What is the solution to the system of equations shown in the graph below?

Mathematics

2 answers:

pav-90 [236]3 years ago

8 0

Answer:

C.(1,-6)

Step-by-step explanation:

We are given that a graph in which system of equations of line shown .

We have to find the solution to the system of equations shown in the graph.

To find the solution of the system of equations in given graph we will find the intersecting point of system of equation from given graph.

From given graph we can see that

One equation of line is passing through the points (4,0) and (0,-8).

Second equation of line is passing through the points (-2,0) and (0,-4).

The two equations of line intersect at point (1,-6).

The solution of system of equations is the intersecting point of two equations of line.

Therefore, the solution to the system of equations shown in graph is (1,-6).

Option C is true.

pashok25 [27]3 years ago

4 0

The solution to the graph is C, just find where the two lines are intersecting, and that’s the solution.

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Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt

polet [3.4K]

If you're just integrating a vector-valued function, you just integrate each component:

$\displaystyle\int(\sec^2t\,\hat\imath+t(t^2-1)^8\,\hat\jmath+t^7\ln t\,\hat k)\,\mathrm dt$

$=\displaystyle\left(\int\sec^2t\,\mathrm dt\right)\hat\imath+\left(\int t(t^2-1)^8\,\mathrm dt\right)\hat\jmath+\left(\int t^7\ln t\,\mathrm dt\right)\hat k$

The first integral is trivial since $(\tan t)'=\sec^2t$ .

The second can be done by substituting $u=t^2-1$ :

$u=t^2-1\implies\mathrm du=2t\,\mathrm dt\implies\displaystyle\frac12\int u^8\,\mathrm du=\frac1{18}(t^2-1)^9+C$

The third can be found by integrating by parts:

$u=\ln t\implies\mathrm du=\dfrac{\mathrm dt}t$

$\mathrm dv=t^7\,\mathrm dt\implies v=\dfrac18t^8$

$\displaystyle\int t^7\ln t\,\mathrm dt=\frac18t^8\ln t-\frac18\int t^7\,\mathrm dt=\frac18t^8\ln t-\frac1{64}t^8+C$

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3 years ago

What was gabriel error

Pavlova-9 [17]

The change is given by the difference between how much you paid and how much you actually had to pay. For example, if you pay with a $50 bill and you had to pay $13, your change will be $50-13 = 37$ dollars.

In this case, we have

$30 - (2.5x+2y-2) = 30-2.5x-2y+2 = 32-2.5x-2y$

So, Gabriel's mistake was to leave the negative sign to the "-2" at the end of the expression, instead of flipping it to positive "+2" when subtracting it.

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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