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3 years ago

F(x)= y-x/x^2-16 (that’s a fraction; and the ^ indicates the 2 is a exponent)

Mathematics

1 answer:

bulgar [2K]3 years ago

4 0

Answer:

= 1/x^2

Step-by-step explanation:

Possible derivation:

d/dx(-16 - 1/x + y)

Differentiate the sum term by term and factor out constants:

= d/dx(-16) - d/dx(1/x) + d/dx(y)

The derivative of -16 is zero:

= -(d/dx(1/x)) + d/dx(y) + 0

Simplify the expression:

= -(d/dx(1/x)) + d/dx(y)

Use the power rule, d/dx(x^n) = n x^(n - 1), where n = -1.

d/dx(1/x) = d/dx(x^(-1)) = -x^(-2):

= d/dx(y) - -1/x^2

Simplify the expression:

= 1/x^2 + d/dx(y)

The derivative of y is zero:

= 1/x^2 + 0

Simplify the expression:

Answer: = 1/x^2

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Which table shows a proportional relationship between x and y? Plz Help

Nastasia [14]

Answer:

The proportional table in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each table

Find the value of the constant of proportionality k for each ordered pair of a table.

$k=\frac{y}{x}$

If all the values of k are the same, then the table represent a proportional relationship between x and y

Table 1

For x=1, y=2 ----> $k=\frac{2}{1}=2$

For x=2, y=4 ----> $k=\frac{4}{2}=2$

For x=3, y=8 ----> $k=\frac{8}{3}=2.7$

The values of k are not equal

This table not represent a proportional relationship between x and y

Table 2

For x=0, y=4

The line not passes through the origin

This table not represent a proportional relationship between x and y

Table 3

For x=0, y=0 ----> is OK the line passes though the origin

For x=1, y=1 ----> $k=\frac{1}{1}=1$

For x=2, y=4 ----> $k=\frac{4}{2}=2$

The values of k are not equal

This table not represent a proportional relationship between x and y

Table 4

For x=1, y=4 ----> $k=\frac{4}{1}=4$

For x=2, y=8 ----> $k=\frac{8}{2}=4$

For x=3, y=12 ----> $k=\frac{12}{3}=4$

The values of k are the same

This table represent a proportional relationship between x and y

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3 years ago

PLEASE HELP ME!!!!!!!!!

Genrish500 [490]

Develop a passion for learning. If you do, you will never cease to grow.

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

Self explanatory.

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