Simplify. What are the restrictions on the variable? (2x/x-3)+(6/3-x)

Answers

Answer 1

Answer:

V = 2

x ≠ 3

Step-by-step explanation:

Simplifying

We are given the expression:

[tex]\displaystyle V=\frac{2x}{x-3}+\frac{6}{3-x}[/tex]

To simplify, we make both denominators equal by multiplying the second term by -1:

[tex]\displaystyle V=\frac{2x}{x-3}-\frac{6}{x-3}[/tex]

Now both denominators are equal, we simply add the numerators:

[tex]\displaystyle V=\frac{2x-6}{x-3}[/tex]

Factoring the numerator:

[tex]\displaystyle V=\frac{2(x-3)}{x-3}[/tex]

This expression can be simplified by x-3, but we must take into consideration the x-3 cannot be zero because it would cause an indetermination to appear.

The restriction is:

x - 3 ≠ 0

Or, equivalently:

x ≠ 3

Simplifying:

V = 2


Related Questions


What is the area of the triangle in the in the diagram?

Answers

Answer:

no tengo ni idea

Step-by-step explanation:

The area of the triangle will be A = (1/2) y₁(x₂ - x₁). Then the correct option is B.

What is the area of the triangle?

Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,

A = (1/2) × h·b

The coordinates of the triangle will be (x₁, y₁), (x₂, y₂), and (0, 0).

The length of the base of the triangle will be given as,

Base = (x₂ - x₁)

The height of the triangle is given as,

Height =  (y₂ - 0) or (y₁ - 0)

Height =  y₂ or y₁

The area of the triangle will be given as,

A = (1/2) × (x₂ - x₁) × y₁

A = (1/2) y₁(x₂ - x₁)

The area of the triangle will be A = (1/2) y₁(x₂ - x₁). Then the correct option is B.

More about the area of the triangle link is given below.

https://brainly.com/question/19305981

#SPJ5

Find the quotient 5/28 divided by 1/7

Answers

The answer is: 1.25

Remember: Keep the first fraction, Change the Sign, Flip the second fraction.

KEEP - 5/28

CHANGE - division to multiplication

FLIP - 7/1

Answer:

5/4 or 1 1/4 or 1.25

(5/28) / (1/7) =

5/28 * 7 =

5/4

The Gonzalez's updated their bedroom by purchasing a new lamp for $89.95 and a comforter set for $239.99. They paid 6.5% sales tax on their purchases. If the Gonzalez's paid $351.72 total, determine if they paid the correct amount.

Answers

Answer:

Not exactly

Step-by-step explanation:

Cost lamp = $89.95Cost of comforter set = $239.99Sales tax = 6.5%

Total payment:

($89.95 + $239.99)*1.065 = $351.39

Total amount is a little different:

$351.72 vs $351.39

WILL GIVE BRAINLIEST!!! Kayla created the graph below to represent the solution to the inequality Negative 8 less-than x.

A number line going from negative 11 to negative 1. A closed circle is at negative 8. Everything to the left of the circle is shaded.

What errors did she make? Select two options.
She should have used an open circle at the end of the ray.
She should have pointed the arrow to the right.
She should have used a circle at –7 as the end of the ray.
She should have used a circle at –9 as the end of the ray.

Answers

Answer:

1. she should've pointed the arrow to the right 2.She should have used an open circle at the end of the ray.

Step-by-step explanation:

Answer:

A) and B)

Step-by-step explanation:

Maria jogged 3 miles (I have picture)

Answers

Answer:

A=False

B=True

C=True

Step-by-step explanation:

Please help! Please please pleaseeee

Answers

Answer:

D.

△FGH≅△VWH

Step-by-step explanation:

the way i did this was by looking at the angles. F≅V bc they both have one line. G≅W because 2 lines, H≅H because reflexive. put them in the right order and there you go.

brainliest please?

-20 es un número racional?

Answers

Answer:

Si -20 es racional

Step-by-step explanation:

what’s the slope of the line?

Answers

Answer:

2/5

Step-by-step explanation:

From the two points we have marked, they are clearly 10 units apart from -5 to 5, and the change in the y-axis is 4. So the change between the two points is 4/10 (rise over run).

4/10 simplifies to 2/5.

this is algebra 1 hurry please

Answers

Answer:

Answer is C

Step-by-step explanation:

hohoho have a great christmas may you be blessed! hope you get what you’re wanting also C

Help me please I will mark brainly

Answers

Answer:

D

Step-by-step explanation:

Answer:

A= -13/35

B= 13/35

C= -27/35

D= -13/35

The answer is B

HELP ME PLEASEE NOWWWW!!!!

Answers

Answer:

Step-by-step explanation:

Let's simplify step-by-step.

3(w+5)−7w

Distribute:

=(3)(w)+(3)(5)+−7w

=3w+15+−7w

Combine Like Terms:

=3w+15+−7w

=(3w+−7w)+(15)

=−4w+15

Answer:

=−4w+15

Your welcome

what is order of operations... 10 points.

Answers

Answer:

The order of operations tells us the order to solve steps in expressions with more than one operation. First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right.

Step-by-step explanation:

Could I get brainliest and heart please

A chocolate cake and a vanilla cake were each cut into 12 slices. 5 slices of the chocolate cake were eaten and 7 slices of the vanilla cake were eaten. Was more of the chocolate cake or more of the vanilla cake eaten?

Answers

Answer: Vanilla

Step-by-step explanation:

The amount of chocolate cake remaining is;

= 12 - 5

= 7 slices

The amount of vanilla cake remaining is;

= 12 - 7

= 5 slices

More Vanilla cake was therefore eaten as less of it is left.

what is the answer to 15 - 5x??​

Answers

Answer:

x=3

Step-by-step explanation:

someone help me answer this please i will mark brainliest x

Answers

11.2 ft

If it is a ratio just find what the scale number is by doing 14/40 = .35
Then .35 * 32 = 11.2

Solve the equation.

3- 5x = -9 + x

Answers

Answer:

x=2

Step-by-step explanation:

-5x-x=-9-3

  -6x=-12

     x=2

Answer:

x = 2

Step-by-step explanation:

[tex]3 - 5x = x - 9[/tex]

[tex] = > 5x + x = 9 + 3[/tex]

[tex] = > 6x = 12[/tex]

[tex] = > x = \frac{12}{6} = 2[/tex]

List the values from least to greatest
numbers |-14|, |-8|, |21|, |3|

Answers

21, |-14|, |-8|, |3| is your answer

Answer:

|3|, |-8|, |-14|, |21|

Step-by-step explanation:

The absolute value of a number is the difference between the number and zero, so |-x| would be x

An easy way to determine absolute value is just takeaway any - symbols, because even if a number is negative it's still the same distance between zero as it's opposite

Mike answered 72%
of the questions on his
test correctly. If
there were 50
questions on the test,
how many did he NOT
answer correctly?

Answers

Answer: I believe its 36

Step-by-step explanation:......

Look at the image please worth points (don’t reply if you don’t have an answer)

Answers

Answer:

17

Step-by-step explanation:

add up everythig before 7 which is 2 5 and 10

Answer:

i believe it is 17.

Step-by-step explanation:

if c is 8 am, then 7 am must have been at 10. so add up all the numbers from then and further back, and you get 17. (it could also be 7 so don't count on it)

hope this helps! if correct pls mark brainliest!

HELP


At the beginning of an experiment, there are 1000 bacteria in the number of bacteria triples every day, how many bacteria will be in the culture after 4 days?

A- 16,000

B-27,000

C-81,000

D-243,000

Answers

Answer:

i think 12,000

...

....

Answer:

C. 81,000

Explanation:

1000 × 81 (the number of increase everyday combined) = 81000

Is the following relation a function

Answers

yes because each x only has one y output

You purchase 6 mini burgers and an order of fries for $9.25. If the total cost is $41.71. What is the cost of the mini burger

Answers

Answer: $5.24

Step-by-step explanation:

Yo the answer is 6.95 all you have to do is start at round 6 and keep adding change

Question 12 (5 points)
Find the value x in the figure below and write your answer below.

Answers

Answer:

48

Step-by-step explanation:

Enter the equation of the line in slope-intercept form. Slope is 1 3 , and (6, 3) is on the line.

Answers

Answer:

would it be zero because when you try to find the equation its just 0 so it would be y=3

Step-by-step explanation:

as you can see both the points are at 3. so i would say y=3

what is the area of the square when one side is 6 in?

Answers

36 sq in bc l*w=area

Answer:

area of square is side²6×636

Help asap BRAINLlST ........
question in pic

Answers

Answer:

y= -1/5 + 6

Step-by-step explanation:

y=mx+b

m=-1/5

b=(0,y)

b=6

yo y= -1/5 + 6

Answer:

y= -5x +6

pick ANY two points from the graph:

(0,6) and (1,1)  

first you need to find the slope:

Y2 - Y1      6 - 1       5

----------  =  ------- = ----- = -5

X2 - X1      0 - 1      -1

y = -5x + b

the Y-intercept is (0,6):

Y = -5x + 6

Pls help, I will give brainlist!

Answers

Answer:

Step-by-step explanation:

2.)A=[tex]\frac{bh}{2}[/tex]

[tex]\frac{15*10}{2}[/tex]=75.

3.) years to month

6 years is 72 month+2 month=74 month

month to days

74 month=2250.84days.

What is the slope and equation of a line parallel to the x-axis passing through point (3, 7)?

Answers

Answer:

i not sure

Step-by-step explanation:

i need points

which number line show the solution of 2x - 8 > -4

Answers

Answer:

x=2

Step-by-step explanation:

a linear function contains the following points what are the slope and y-intercept of this function (0,-3) (6,15)
A. the slope is -3. the y intercept is (0,-3)
B. the slope is 1/3. the y-intercept is (0,-3)
C. the slope is 3. the y-intercept is (0,-3)
D. the slope is 1/3. the y-intercept is (-3,0)​

Answers

First find slope
(15+3)/(6-0) = 18/6 = 3
The y intercept given
It would be (0,-3)

Solution: C
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