Which of the following is written as a rational function? a. g(x)=-2x b. p(x)=3x+4 c. q(x)=x^2-8x+1 d. f(x)=x+2/5x

Step-by-step explanation:

F(x)=x-3/8x

We have to identify the rational function among the given functions.

Rational function is a function that is the ratio of two polynomials. It is rational because one polynomial is divided by the other polynomial, like a ratio.

1. Consider the first function , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

2. Consider the second function , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

3. Consider the third function , since it is not a function that is the ratio of two polynomials. So, it is not a rational function.

4. Consider the fourth function , since it is a function that is the ratio of two polynomials (x+2) and (5x). So, it is a rational function.

So, Option D is the correct answer.

why can't you?

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places