Select the correct answer from the drop-down menu.

WILL GIVE BRAINLIEST!!!!!!!!!!!!!

Phantasy [73]

Writing the domain in words: negative infinity to three halves and three halves to infinity

So, Option A is correct.

Step-by-step explanation:

We need to find domain of the function: $f(x)=\frac{x-5}{2x-3}$

<u>Domain:</u>

The domain of function is defined as all the input values for which the function is defined.

In other words we can say that any value of x that makes the denominator zero is not considered as domain of function.

In the function given: $f(x)=\frac{x-5}{2x-3}$

if x= 3/2 then the denominator will be zero and the function will not be defined.

So, value of x should be x>3/2 or x<3/2

We can write domain as: (-∞,3/2)(3/2,∞)

3/2 can be written as three halves.

Writing the domain in words: negative infinity to three halves and three halves to infinity

So, Option A is correct.

Keywords: Domain of Function

Learn more about Domain of function at:

#learnwithBrainly

4 0

3 years ago

If the endpoints of the diameter of a circle are (−8, 0) and (−12, 2), what is the standard form equation of the circle? A) (x −

poizon [28]

Answer:

Step-by-step explanation:

We are given the diameter of the circle. By definition, the diameter goes through the circle right at its center. We can use the midpoint formula to find the center of the diameter which will give us the center of our circle.

$M=(\frac{-8+(-12)}{2}, \frac{0+2}{2})$ which simplifies to

$M=(\frac{-20}{2},\frac{2}{2})$ which gives us the midpoint

M = (-10, 1) That's the h and k of our center. We will use that along with one of the given points to solve for r. Plugging into the standard form of a circle (which I'm assuming you know):

$(-8+10)^2+(0-1)^2=r^2$ and

$(2)^2+(-1)^2=r^2$ so

$r^2=5$

Now we'll use that with the center we found and write the equation:

$(x+10)^2+(y-1)^2=5$

That's choice B

5 0

3 years ago

How can you solve problems involving equations that contain addition, subtraction, multiplication, or division

SashulF [63]

By using bodmas you can solve those problems

7 0

3 years ago

Read 2 more answers

Round the distance traveled in kilometers to the nearest ten thousand

damaskus [11]

Let’s assume the following given:

Speed = 129 m/s

Time = 2,900,000 s

Find:

Distance = ?

Solution:

In order to get the distance, we multiply speed and time.

Distance = Speed * Time

Distance = 129 m/s * 2,900,000 s

Distance = 374,100,000 m

Next, we will convert the distance from meters to kilometers by dividing the distance with 1,000 m.

374,100,000 m / 1,000 m = 374,100 km

<span>The last step would be converting the travelled distance in kilometers to the nearest ten thousand.

Therefore, the travelled distance in kilometers to the nearest ten thousand is 370,000 km.</span>

4 0

4 years ago

Find the roots of the function f(x) = 3x4 - 48.

Andrew [12]

Answer:

$x=\pm 2\text{ or } x = \pm 2i$