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fgiga [73]
3 years ago
12

What is the minimum value of the objective function C = 4x + 9y?

Mathematics
2 answers:
Elodia [21]3 years ago
8 0

Answer:-24

explain how you know:

Since xy = 4, we have y=4/x. Substituting in (1) we get f(x) = 4x+(36/x) …….(2)

Differentiating we get f ' (x) = 4 - (36/x^2)…..(2)

For maxima or minima, f ‘ (x) = 0

=> 4 - (36/x^2) =0 => (4x^2 - 36)/x^2 = 0 which gives x= +/- 3

Differentiating (2), f ‘’ (x) = 72/x^3

When x= +3 , f ‘’ (x) is clearly +ve. Therefore f(x) at (2) gives minima and the minimum value is 24.

When x= -3, f ‘’ (x) is -ve. Therefore, f(x) has maxima at x= -3. The maximum value is -24.

Note: You may be surprised to observe that the minima is more than the maxima. This is due to the fact that the function is discontinuous at x= 0, the graph of f(x) comprising of two branches, one in the first quadrant giving the minima (= +24) and another in the third quadrant that gives maxima (= -24)

Arisa [49]3 years ago
7 0

Answer:

its 125 on edg2020 ;)

Step-by-step explanation:

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The square pyramid with a base with edges of 6 inches and slant height of 4 inches have a surface area of 84 in².

The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The square pyramid with a base with edges of 6 inches and slant height of 4 inches. Hence:

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The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

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What are the coordinates of the red dot?
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(5, 2)

Step-by-step explanation:

Coordinates of a point in a coordinate plane is usually written as (x, y). This point contains the value of x and its corresponding y value.

The red dot on the plane given, if you trace it down to the x-axis, it is at x = 5, while if you trace it horizontally against the y-axis, you'd have y = 2.

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Josh is building a sandbox for his little sister. He uses these plans, which have a scale of 2 in. : 3 ft.
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Width of 6ft and length of 9ft

Step-by-step explanation:

The sandbox has a ratio of 2:3. If you plug the numbers in with the ratio, you can find the actual dimensions.

Let x be the length

Let y be the width

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2in / 3ft = 4in / (y)ft

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