What are the domain and range of f(x)=-37

To start solving this, i realized that there was a difference in the units given and the units asked for in the answer, so I converted 2.937 grams to 2,397 mg. It is given that there are 2.145 mg of the drug in 1.716 mL, so set up the equation 2.145 / 1.716 = 2,937 / x, where x is the mL of the drug needed. Cross multiply to get 5039.892 = 2.145 x. Divide by 2.145 and get 2,349.6‬ ml

5 0

3 years ago

Drag the expressions into the boxes to correctly complete the table. Polynomial Not a polynomial

uranmaximum [27]

The answer to the given question is as below:-

Polynomials:-

x³-7x²+9x-5x⁴-20

x⁵-5x⁴+4x³+2x-1

3x²-5x⁴+2x-12

Non-polynomial:-

x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

$\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1$

$\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16$

<h3>What are polynomials?</h3>

A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.

So the table will be formed as:-

Polynomials:- Non-polynomial:-

x³-7x²+9x-5x⁴-20 x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

x⁵-5x⁴+4x³+2x-1 $\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1$

3x²-5x⁴+2x-12 $\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16$

Therefore the polynomials and non-polynomials are shown in the table above.

To know more about polynomials follow

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5 0

2 years ago

Y = 2 - 4x input output

tester [92]

Every function is a rule which tells you how to associate inputs and outputs. The input, also known as independent variable, is often indicated with the letter $x$ , while the output, also known as dependent variable, is often indicated with the letter $y$ .

With this notation, we write $y = f(x)$ , read "y is a function of x", in the sense that the value of the variable y depends on the value of the variable x, and f is the function that tells you how y depends on x.

In your example, you have $y = f(x) = 2-4x$ , which means "subtract four times the input (4x) from 2"

So, it doesn't matter which input you chose (i.e. the value for x), because you will always have to behave this way:

Pick an input value, x
Multiply it by four to get 4x
Subtract this number from 2: 2-4x

Here are some examples of explicit calculations: if I choose $x = 2$ and input, the workflow will be

Pick an input value, 2
Multiply it by four to get 8
Subtract this number from 2: 2-8=-6

So, if the input is 2, the output is -6

Similarly, if we choose $x = 0$ as input, we have:

Pick an input value, 0
Multiply it by four to get 0
Subtract this number from 2: 2-0=2

So, if the input is 0, the output is 2. And so on: for every possible value for x you have the correspondant value for y, with the function f telling you how to associate one with the other.

4 0

3 years ago