All categories

2 years ago

Simplify the rational expression. Find all numbers that must be excluded from the domain of the simplified rational expression.

Mathematics

1 answer:

kifflom [539]2 years ago

8 0

N/D =(x²+4x+4)/(x² - 4)

N= x²+4x+4 = (x+2)²
D = x²-4 =(x-2)(x+2)

N/D = (x+2)²/(x-2)(x+2); simplify by (x+2)

N/D = (x+2)/(x-2)

Domain of x ={x∈R≠3} ; in short x =( -2) should be excluded

You might be interested in

(NEED ASAP) 15 POINTS

yulyashka [42]

Answer:

1 and 2 go in the 2nd area and 3 gos to the 1st and 4th gos to the last one

Step-by-step explanation:

hope this helped!

P.S. can i pls have brainlyist am trying to lv up thx! ;D

6 0

3 years ago

Which is an equation of the line that goes through the points ( 4, 1) and

Aloiza [94]

Answer:

none of the above

Step-by-step explanation:

You can try the points in the equations (none works in any equation), or you can plot the points and lines (see attached). <em>You will not find any of the offered answer choices goes through the given points</em>.

___

You can start with the 2-point form of the equation of a line. For points (x1, y1) and (x2, y2) that equation is ...

y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given points, we get ...

y = (3 -1)/(2 -4)·(x -4) +1

y = 2/(-2)(x -4) +1 . . . . . simplify a bit

y = -x +4 +1 . . . . . . . . . simplify more

y = -x +5 . . . . . . . . . . . slope-intercept form

5 0

2 years ago

A bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km away. Write a formula expressing

yawa3891 [41]

1. The formula expressing the dependence of the variable s on t is: s = 60 - 12t

2. the distance travelled at time t = 3.5 h is 18 Km

<h3>What is speed? </h3>

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

<h3>1. How to determine the formula expressing the dependence of the variable s on t</h3>

From the question given, bicyclist traveled with a speed of 12 km/h from a camping ground to a station, located 60 km.

Thus, we shall determine the distance travel in time t as follow

Speed = 12 Km/h
Time = t
Distance in time t = ?

Speed = distance / time

12 = distance / t

Cross multiply

Distance = 12 × t

Distance in time t = 12t

But the total distance travelled is 60 Km. Thus, the remaining distance (s) from the bicyclist to the station at time (t) will be given as:

s = 60 - 12t

Thus, the formula expressing the dependence of the variable s on t is: s = 60 - 12t

<h3>2. How to determine the distance at t = 3.5 hours</h3>

The distance at t = 3.5 hours can be obtained as illustrated below:

Time (t) = 3.5 hours
Distance (s) = ?

s = 60 - 12t

s = 60 - (12 × 3.5)

s = 60 - 42

s = 18 Km

Thus, the distance travelled at t = 3.5 hours is 18 km

Learn more about speed:

brainly.com/question/680492

#SPJ1

6 0

1 year ago

Michelle is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 16 meters

Rama09 [41]

Answer:

12 meters

Step-by-step explanation:

You have to use the inverse of the pythagorean theorem to do this so you do square root of (20x20-16x16) which is 12

5 0

2 years ago

I NEED HELPPPPP. SOMEONE ANSWER THISSSS

Inga [223]

Answer:y=415 x = 21.5

Step-by-step explanation:

We can see 4x-37 = 49

4x = 86

x = 21.5

4(21.5) -3 = 83

Then we can see what the other side is because they are equal

y/5 = 83

83 x 5 = 415

y=415

3 0

3 years ago

Read 2 more answers