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4 years ago

What are the coordinates of the vertex of the graph. is it a maximum of minimum?

Mathematics

2 answers:

tia_tia [17]4 years ago

8 0

Answer:

The correct option is D. (0,2) maximum

Step-by-step explanation:

Consider the provided graph.

The provided graph is the graph of a parabola.

A parabola's vertex is the point at which the parabola reaches its symmetry axis.

In a parabola Vertex is the highest point or the lowest point.

Thus, the Vertex of the provided parabola is (0 , 2). because x-coordinate is 0 and y coordinate is 2.

When the parabola opens down, the vertex is the highest point on the graph which is called the maximum.

Therefore, Vertex (0,2) and it is maximum.

Hence, the correct option is D. (0,2) maximum

Mazyrski [523]4 years ago

5 0

Anyone can see it's "Maximum" & it's max. vertex is (0, 2) 'cause x-coordinate is at origin & y is at 2.

In short, Your Answer would be Option D

Hope this helps!

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3 years ago

Three numbers have a median of 7, a range of 7 and a total of 16. Give the three numbers.

Lemur [1.5K]

Answer:

The numbers would have to be 7, 8 and 1.

Step-by-step explanation:

To find this, first note that 7 needs to be the middle number. So one will be greater and one smaller.

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4 years ago

A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equat

jolli1 [7]

Answer:

7000 type A
6000 type B

Step-by-step explanation:

We assume your equations are intended to be ...

$C(x,y)=x^2-2xy+9y^2+3x-87y-6\\R(x,y)=5x+7y$

Then the profit equation is ...

$P(x,y)=R(x,y)-C(x,y)=5x+7y-x^2+2xy-9y^2-3x+87y+6\\=-x^2+2xy-9y^2+2x+94y+6$

The partial derivatives of profit with respect to x and y are zero when profit is maximized.

∂P/∂x = 0 = -2x +2y +2

∂P/∂y = 0 = 2x -18y +94

Simplifying, these equations are ...

y = x -1
x -9y = -47

Substituting the first into the second gives ...

x -9(x -1) = -47

-8x = -56

x = 7

y = 7 -1 = 6

The company will maximize profit by selling 7000 panels of type A and 6000 panels of type B.

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4 years ago

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lina2011 [118]

Answer:

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Step-by-step explanation:

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3 years ago

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