Mathematics, 30.11.2020 23:00 mooncake9090

Which equation is non-linear? A)
B)
C)
D)

Answers: 2

Show answers

Answers

Answer from: shey89

$\huge\boxed{\text{A is not linear.}}$

Step-by-step explanation:

Linear equations are equations that, when graphed, form a "line" and have a constant rate of change.

Usually, these are in the form y=mx+b when put in that order.

There are a few types of equations, I'll list some of the major ones

Linear = has a constant rate of changeExponential = increases for x as the exponent Quadratic = is in a binomial, trinomial, or polynomial - it has a vertex

Linear functions are usually in the form y=mx+b

Exponential functions are usually in the form y=b^x

Quadratic functions are usually in the form ax^2 + bx + c

We must note that linear functions can not

A) Have an exponent on any x term

B) Have x and y multiplied by each other

We can see that every equation, except A

A) Follows the form y=mx+b ( -3x--7y=-21 can be simplified to $y= \frac{3}{7}x-3$ )

B) Does not have any exponents on their x terms

That leaves A) to be the equation that isn't linear.

Hope this helped!

Answer from: ladeshak5981

Equation A is non-linear.

Step-by-step explanation:

We are given four equations in which we need to determine if they are linear or non-linear relationships.

Firstly, we need to know some information about linear equations:

Linear equations cannot have an exponent.Linear equations have a constant slope and are straight lines.Linear equations can be negative or positive.Linear equations have a domain of all real numbers. They also have a range of all real numbers.

Now, in order to check this easily, we need to place these equations into slope-intercept form.

Equation A

$\displaystyle y = 3x^3 - 10$

We see that this has an exponent, so this cannot be a linear equation.

In fact, because it is cubed, this is called a cubic function. Therefore, equation A is not a linear equation.

Equation B

$\displaystyle y = \frac{1}{2}x + 4$

This equation does not have a exponent. It also has a slope and a y-intercept. Therefore, equation B is a linear equation.

Equation C

$\displaystyle y = 4x -\frac{5}{3}$

The equation does not have a exponent. It also has a slope and a y-intercept. Therefore, equation C is a linear equation.

Equation D

-3x--7y = -21

First off, we need to get this equation into slope-intercept form, if possible.

$\displaystyle -3x -- 7y = -21\\\\-3x + 7y = -21 \ \ \ \text{Change the sign on 7y.}\\\\7y = 3x - 21 \ \ \ \text{Move 3x to the other side by adding.}\\\\\frac{7y}{7}=\frac{3x-21}{7} \ \ \ \text{Divide both sides by 7 to isolate y.}\\\\\bold{y = \frac{3}{7}x-3}$

Our final equation is $\displaystyle y = \frac{3}{7}x-3$ .

The equation does not have an exponent. It has a constant slope and a y-intercept. Therefore, equation D is a linear equation.

Let's check our equations:

Equation A: $\displaystyle y = 3x^3 - 10 \ \text{X}$ Equation B: $\displaystyle y = \frac{1}{2}x + 4 \ \checkmark$ Equation C: $\displaystyle y = 4x -\frac{5}{3} \ \checkmark$ Equation D: $\displaystyle y = \frac{3}{7}x-3 \ \checkmark$

Therefore, we have determined that Equation A is not a linear equation, making it non-linear.

Answer from: Quest

If they nenenenenenene

Answer from: Quest

6.9

step-by-step explanation:

simple math really

6 1/2 times 0.6 = 3.9

but if you are just doing 6 and not 6 1/2 then the answer is 3.6