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Gelneren [198K]
3 years ago
6

2 1 point

Mathematics
1 answer:
mafiozo [28]3 years ago
5 0

Answer:

  • The graph has a minimum.
  • The graph has a y-intercept at (0, -3).
  • The solutions ... are -1 and 3.
  • The vertex is located at (1, -4).
  • In the equation, 'a' would be positive.

Step-by-step explanation:

When the graph has a low point, it has a minimum. 'a' is positive in that case. The coordinates of that low point are (1, -4). That point is the vertex.

The graph crosses the y-axis at y = -3, so the y-intercept is (0, -3).

The graph crosses the x-axis at (-1, 0) and (3, 0). These points represent the solution to the equation y = 0.

  • The graph has a minimum.
  • The graph has a y-intercept at (0, -3).
  • The solutions ... are -1 and 3.
  • The vertex is located at (1, -4).
  • In the equation, 'a' would be positive.
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Determine whether or not f is a conservative vector field. if it is, find a function f such that f = ∇f. (if the vector field is
gladu [14]

\mathbf f is conservative if we can find a scalar function f such that \nabla f=\mathbf f. This is equivalent to solving the system of PDEs,

\dfrac{\partial f}{\partial x}=2x-6y

\dfrac{\partial f}{\partial y}=-6x+10y-9

Integrate both sides of the first PDF with respect to x:

f(x,y)=x^2-6xy+g(y)

where g is some function independent of x. Then differentiatng with respect to y, we have

\dfrac{\partial f}{\partial y}=-6x+\dfrac{\mathrm dg}{\mathrm dy}=-6x+10y-9

\implies\dfrac{\mathrm dg}{\mathrm dy}=10y-9\implies g(y)=5y^2-9y+C

and so \mathbf f is indeed conservative, with

f(x,y)=x^2-6xy+5y^2-9y+C

3 0
3 years ago
Please tell me how u got the answer no bots pleaseeeee
Inessa05 [86]

Answer:

x = - 21

Step-by-step explanation:

\frac{-12+x}{11} = - 3 ( multiply both sides by 11 to clear the fraction )

- 12 + x = 11 × - 3 = - 33 ( add 12 to both sides )

x = - 21

8 0
2 years ago
Read 2 more answers
How do I make 9.076 turn into expandedform
Contact [7]

Answer:

9 + 0.0 + 0.07 + 0.006

Step-by-step explanation:

9 + 0.0 + 0.07 + 0.006

4 0
3 years ago
Item 2 Solve. {y=3x−49x−3y=14 Use the substitution method. There are an infinite number of solutions. The solution is (14, 12).
Black_prince [1.1K]

id have to say the best Answer Choice is A. there is an infinite number of solutuons. i hope this helps.

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3 years ago
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What is the value of the missing angle?a, 720b, 120c, 128d, 138
Zigmanuir [339]
The sum of all the interior angles in a hexagon is 720°, so if you add up all the angles and then take them away from 720, you'll get your answer:
152 + 85 = 237
237 + 85 = 322
322 + 125 = 447
447 + 135 = 582
So 720 - 582 = 138°, which is your answer. I hope this helps!
3 0
3 years ago
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