All categories

3 years ago

Find the zero of the following function: f(×)=(×-1)/(×-3)

Mathematics

2 answers:

nlexa [21]3 years ago

6 0

Answer:

$\boxed{\sf \ \ x = 1 \ \ }$

Step-by-step explanation:

Hello,

First of all we need to take x different from 3 as dividing by 0 is not allowed

then for x real different from 3

$f(x)=0\\\\ \dfrac{x-1}{x-3}=0\\\\ x-1 = 0\\\\ x = 1$

hope this helps

Inessa05 [86]3 years ago

4 0

The roots (zeros) of the function are x=1

You might be interested in

All of these ODEs model a system with a spring, mass and dashpot.

Wewaii [24]

Answer:

− 3 y ' ' − 3 y ' + 3 y = 0 : over-damped

− 2 y ' ' − 4 y ' + 1 y = 0 : over-damped

1 y ' ' + 7 y ' + 5 y = 0: over-damped

Step-by-step explanation:

Using the characteristic equation you can express a differential equation of order n as an algebraic equation of degree n:

$a_ny^n+a_n_-_1y^{n-1}+...+a_1y'+a_oy=0$

This differential equation will have a characteristic equation of the form:

$a_nr^n+a_n_-_1r^{n-1}+...+a_1r+a_o=0$

Now, you can classify the solution for a differential equation using a simple method. In order to do it, you just need to use the discriminant.

If the discriminant is greater than zero, the solution is over-damped

If the discriminant is less than zero, the solution is under-damped

If the discriminant is equal to zero, the solution is critically damped

So, given the differential equation:

$-3y''-3y+3y=0$

Which has characteristic equation of the form:

$-3r^2-3r+3=0$

The quadratic polynomial of the form:

$ar^2+br+c=0$

Has discriminant:

$Disc=b^2-4ac$

In this case:

$a=-3\\b=-3\\c=3$

So:

$Disc=(-3)^2-4(-3)(3)=9-(-36)=45$

In this case:

$Disc=45>0$

Therefore the solution is over-damped.

Now, given the differential equation:

$-2y''-4y'+1y=0$

Which has characteristic equation of the form:

$-2r^2-4r+1=0$

The quadratic polynomial of the form:

$ar^2+br+c=0$

Has discriminant:

$Disc=b^2-4ac$

In this case:

$a=-2\\b=-4\\c=1$

So:

$Disc=(-4)^2-4(-2)(1)=16+8=24$

In this case:

$Disc=24>0$

Therefore the solution is over-damped.

Finally, given the differential equation:

$1y''+7y'+5y=0$

Which has characteristic equation of the form:

$1r^2+7r+5=0$

The quadratic polynomial of the form:

$ar^2+br+c=0$

Has discriminant:

$Disc=b^2-4ac$

In this case:

$a=1\\b=7\\c=5$

So:

$Disc=(7)^2-4(1)(5)=49-20=29$

In this case:

$Disc=29>0$

Therefore the solution is over-damped.

6 0

3 years ago

Determine whether each of the following are functions

Alja [10]

Answer:

xxc

Step-by-step explanation:

7 0

2 years ago

What statement summarizes the idea in this cartoon? (5 points)

adell [148]

Answer:

C.) The Republicans were using the McCarthy hearings for political gain.

I hope I helped! ^-^

6 0

2 years ago

Simplify: –4(x – 5) + 3(a – 7)

Serga [27]

-4 (x - 5) + 3 (a - 7)

First, expand your problem. / Your problem should look like: -4x + 20 + 3a - 21
Second, simplify. / Your problem should look like: -4x + 3a - 1

Answer: -4x + 3a - 1 (C)

8 0

3 years ago

Read 2 more answers

Ed's class took a field trip to the art museum. They left school at 10:45 A.M. It took them 15 minutes to drive to the museum. T

Brut [27]

Answer:
12:45

10:45 + 15 minutes = 11:00

11:00 + 1 hour and 45 minutes = 12:45

Think of it as:
11:00
+1.45
———
12:45

4 0

3 years ago

Find the zero of the following function: f(×)=(×-1)/(×-3)​

Find the zero of the following function: f(×)=(×-1)/(×-3)