Fill in the bla?

An equation that expresses a relationship between two or more variables, such as

Suman Cole
2021-01-17
Answered

Fill in the bla?

An equation that expresses a relationship between two or more variables, such as

You can still ask an expert for help

SkladanH

Answered 2021-01-18
Author has **80** answers

Step 1
There is a relationship between H and a. So it called a formula to get the value of H for different values of a. The process of finding such equations to describe real-world phenomena is called mathematical modeling.
Step 2
Such equations, together with the meaning assigned to the variables, are called mathematical models.

asked 2021-09-17

The function $y=3.5x+2.8$ represents the cost y (in dollars) of a taxi ride of x miles.

a. Identify the independent and dependent variables.

b. You have enough money to travel at most 20 miles in the taxi. Find the domain and range of the function.

a. Identify the independent and dependent variables.

b. You have enough money to travel at most 20 miles in the taxi. Find the domain and range of the function.

asked 2021-09-07

A city water department is proposing the construction of a new water pipe, as shown. The new pipe will be perpendicular to the old pipe. Write an equation that represents the new pipe.

asked 2022-06-28

Solving equations of type ${x}^{1/n}={\mathrm{log}}_{n}x$

First, I'm a new person on this site, so please correct me if I'm asking the question in a wrong way.

I thought I'm not a big fan of maths, but recently I've stumbled upon one interesting fact, which I'm trying to find an explanation for. I've noticed that graphs of functions $y={x}^{1/n}$ and $y={\mathrm{log}}_{n}x$ , where $n$ is given and equal for both functions, always have $2$ intersection points. This means, equation ${x}^{1/n}={\mathrm{log}}_{n}x$ must have $2$ solutions, at least it's what I see from the graphs.

I've tried to solve this equation analytically for some given $n$, like $4$, but my skills are very rusty, and I cannot come up with anything. So I'm here for help, and my question(-s) are:

are these $2$ functions always have $2$ intersection points?

if yes, why, if not, when not?

how to solve equations like ${x}^{1/n}={\mathrm{log}}_{n}x$ analytically?

First, I'm a new person on this site, so please correct me if I'm asking the question in a wrong way.

I thought I'm not a big fan of maths, but recently I've stumbled upon one interesting fact, which I'm trying to find an explanation for. I've noticed that graphs of functions $y={x}^{1/n}$ and $y={\mathrm{log}}_{n}x$ , where $n$ is given and equal for both functions, always have $2$ intersection points. This means, equation ${x}^{1/n}={\mathrm{log}}_{n}x$ must have $2$ solutions, at least it's what I see from the graphs.

I've tried to solve this equation analytically for some given $n$, like $4$, but my skills are very rusty, and I cannot come up with anything. So I'm here for help, and my question(-s) are:

are these $2$ functions always have $2$ intersection points?

if yes, why, if not, when not?

how to solve equations like ${x}^{1/n}={\mathrm{log}}_{n}x$ analytically?

asked 2022-07-22

Find general solution for the ODE

$y"-9y=\frac{9x}{{e}^{3x}}$

$y"-9y=\frac{9x}{{e}^{3x}}$

asked 2021-03-22

Solve the system of equations x+y=-1 and 5x-7y=79 by combining the equations.

asked 2022-01-31

What is the standard form of $y=(x-2)(2{x}^{2}-3x)-7$ ?

asked 2021-11-23

Determine, to find out the time when I and my friend meet