CORRECT ANSWER WITH **STEPS** GETS BRAINLIEST
for the following questions, determine what values of x makes the rational expression equal to zero.
1. x+6 / x-4
2. (x+4)(x-2) / (x+6)
3. 2x+10 / 3x-12

thanks.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

if the denominator of a rational expression is zero then the expression will be undefined.

the numerator is the part of the rational expression that makes it zero.

solve the numerators in each to find values of x

1

[tex]\frac{x+6}{x-4}[/tex]

x + 6 = 0 ( subtract 6 from both sides )

x = - 6 ← value that makes expression equal to zero

2

[tex]\frac{(x+4)(x-2)}{x+6}[/tex]

(x + 4)(x - 2) = 0

equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

x = - 4 and x = 2 make the expression equal to zero

3

[tex]\frac{2x+10}{3x-12}[/tex]

2x + 10 = 0 ( subtract 10 from both sides )

2x = - 10 ( divide both sides by 2 )

x = - 5 ← value that makes expression equal to zero

Answer 2

Answer:

1)  x = -6

2)  x = -4  and  x = 2

3)  x = -5

Step-by-step explanation:

A rational expression is undefined when the denominator equals zero.

A rational expression equals zero when the numerator equals zero.

Question 1

Given rational expression:

[tex]\dfrac{x+6}{x-4}[/tex]

Set the numerator to zero and solve for x:

[tex]\implies x+6=0[/tex]

[tex]\implies x=-6[/tex]

Question 2

Given rational expression:

[tex]\dfrac{(x+4)(x-2)}{x+6}[/tex]

Set the numerator to zero:

[tex]\implies (x+4)(x-2)=0[/tex]

Apply the zero-product property and solve for x:

[tex]\implies x+4=0 \implies x=-4[/tex]

[tex]\implies x-2=0 \implies x=2[/tex]

Question 3

Given rational expression:

[tex]\dfrac{2x+10}{3x-12}[/tex]

Factor the numerator and denominator:

[tex]\dfrac{2(x+5)}{3(x-4)}[/tex]

Set the numerator to zero and solve for x:

[tex]\implies 2(x+5)=0[/tex]

[tex]\implies x+5=0[/tex]

[tex]\implies x=-5[/tex]


Related Questions

Multiple Choice: Choose the best answer for each question.
6 cm
4. Find the area of the kite at the right.
11 cm
1 cm
a. 72 cm
c. 144 cm
b. 396 cm
d. 33 cm

Answers

Answer:

The area of the kite at the right is 72

During a sale, a store offered a 20% discount on a tablet computer that originally sold for $490. After the sale, the discounted price of the tablet computer was marked up by 20%. What was the price of the tablet computer after the markup? Round to the nearest cent.

Answers

Step-by-step explanation:

I think you have to change 20% to a fraction

Answer ALL of the questions. LOOK AT ALL THE PICTUERS .Show your work. if you can show me a picture of your work and the step you did to complete it. HELP ME PLZZ.
BRAINLEST TO I GIVE BRAINLIEST

Answers

7.

To swap a figure to 90 degrees counter clock wise turn the points from

(x,y) to (-y,x)

Let’s get your points

(-2,3) ; (-4,2) ; (-2,-4)

Swap the values and make the new x’s negotiate

(-3,-2) ; (-2,-4) ; (4,-2)

These should be the points of the new figure with is 90 degrees counterclockwise of the first one.

10.

To find x you can either:

Add 93 and 54
Or
Find the missing value of the triangle and subtract it from 180. Let’s do both

x = 93 + 54
x = 147

Or

180 - 93 - 54
33
180 - 33 = 147

x = 147

8.

First we dilate the coordinates by 0.5

(-4,6) ; (2,6) ; (2,-4) ; (-4,-4)

Basically divide each x and by by two

(-2,3) ; (1,3) ; (1,-2) ; (-2,-2)

Two units left would be to subtract two from the x values

(-4,3) ; (-1,3) ; (-1,-2) ; (-4, -2)

Add three to each y value

New coordinates:

(-4,6) (-1,6) (-1,1) (-4,1)

6.

Since these are the same circle, then we need to multiply the radius by 2 and then make the newly formed diameters equal to each other

2(6x) = 10x + 8

Multiply

12x = 10x + 8

Get x on one side

2x = 8

Divide

x = 4

Plug in 4 for an equation

2(6(4))

48

Circumference = pi * diameter

Unsure if you use 3.14 for pi

If you use 3.14 :

(3.14) (48) = 150.72

If you use pi :

Pi (48) (rounded) = 150.80

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

L = 40       The length is AC

W = 20      The width is AB

Step-by-step explanation:

Givens

P = 120

AB = 1/2 AC

Solution

P = L + L + W + W

W = 1/2 L

P = L + L + 1/2L + 1/2L      Combine like terms

P = 3L

120 = 3L                            Divide by 3

3L/3 = 120/3

L = 40

W = 1/2 L

W = 1/2 * 40

W = 20

The coordinates of triangle DEF are D(4,3) E(8,3 and F(6,8). If you tendkwte triangle DEF 3 units right and 3 units down what are the coordinates of F

Answers

Answer:

(9,5)

Step-by-step explanation:

Which of the following is a net?

Answers

Answer:

C.

Step-by-step explanation:

why?

a net spreads the actual look when it's open

HOPE IT HELPS

(FROM CROSS)

The table shows information about the masses of some dogs.

a) Work out the minimum number of dogs that could have a mass of more than

27 kg

b) Work out the maximum number of dogs that could have a mass of more than

27 kg

Answers

a) The minimum number of dogs that could have a mass of more than 27 kg is 6.

b) The maximum number of dogs that could have a mass of more than 27 kg is 18.

We have a table which shows information about the masses of some dogs.

Now , we need to determine the minimum number of dogs could have a mass more than 27 kg . Let us see dogs with mass of more than 27 kg present in the following intervals , 20≤x<30 and 30≤x<40 with 12 and 6 respectively.

But we wants minimum of 12 and 6 is 6 .

so, the minimum number of dogs with mass more than 27 kg is 6.

b) We need to determine maximum number of dogs with mass more than 27 kg ,so Maximum is equals to sum of number of dogs present in interval 20≤x<30 and in interval 30≤x<40 = 12+6 = 18. So, required maximum number of dogs are 18.

To learn more about maximum number, refer:

https://brainly.com/question/29795588

#SPJ4

Complete question:

The above table shows information about the masses of some dogs.

a) Work out the minimum number of dogs that could have a mass of more than 27 kg

b) Work out the maximum number of dogs that could have a mass of more than 27 kg

I don't get this question can some one please help me solve it

Answers

Answer:

3, 2

Step-by-step explanation:

In order for the equation to be equal to zero, the following must be true:

x-3 = 0   or,

x-2 = 0

Therefore the 2 solutions are x=3, x=2

Write an equation for this situation: The cost of renting a car is $30 per day.

Answers

Cost: $30
x: amount of days
y=30x

Find the measure of the arc or angle indicated

Answers

Answer:

the term arc is used for a portion of a circle along its circumference. The size of the arc is usually given by the size of the angle subtended by the arc at the center or the length of the arc. The angle subtended at the center is also known as the angle measure of an arc or informally the arc measure.

Step-by-step explanation:

Answer:

A) 64°

Step-by-step explanation:

By intersecting secants theorem:

[tex] m\angle ACB = \frac{1}{2} (m\widehat {AS} - m\widehat {BD}) [/tex]

[tex] 35\degree = \frac{1}{2} (134\degree - m\widehat {BD}) [/tex]

[tex] 70\degree =134\degree - m\widehat {BD} [/tex]

[tex] m\widehat {BD} =134\degree - 70\degree[/tex]

[tex] m\widehat {BD} =64\degree[/tex]

(2.3x104)x(1.5x10-2)

Answers

Answer:

(2.3x104)x(1.5x10-2) = 3109.6

HELPPPP!!! PLEASEEE!!! THANK U:)

Answers

Answer:

1st, 2nd, and 3rd options

Step-by-step explanation:

Some of the main properties of a kite:

It has no parallel sides

It has two pairs of congruent sides

It has two pairs of congruent angles

the diagonals are perpendicular

the longer diagonal bisects the other diagonal

opposite sides are not congruent

Answer:

hope this helps you bye..

Which of the following numbers is 90 divisible by?

2, 3, 4, 5, 6, 9, and 10 only

A. 2, 3, 4, 5, 6, 9, and 10 only B. 2, 3, 5, 6, 9 and 10 only

C. 2, 3, 6, 9, and 10 only D. 2, 5, 9, and 10 only

Answers

Answer:

B

Step-by-step explanation:

90/2= 45

90/3= 30

90/5= 18

90/6= 15

90/9= 10

90/10= 9

90/4= 22.5

11 in.
9 in.
4
8 in.
What is the volume of the figure above?

Answers

Answer:

Mizuki is here to help you! The volume of the figure above is 176[tex]in^2[/tex], but since you can only put numbers you need to put in 176.

Step-by-step explanation:

11 x 4 x 8 ÷ 2 =

44 x 8 ÷ 2 =

352 ÷ 2 =

176

What does an inverse function look like?

Answers

Inverse functions are indicated by the symbol [tex]f^{-1}[/tex] and are functions whose inverse is the function itself (x).

A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function. The inverse function, which also returns the beginning value, returns the result of a function.

The relationship that results from swapping out an independent variable for a variable that depends on a given equation, and which may or may not be a function. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x.

To learn more about Inverse here:

https://brainly.com/question/2541698

#SPJ4

A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint. How many cups of white paint will it be for 1 cup of red paint?

Answers

you would need 2 cups of white paint since the ratio is 2:1 (one more white paint than red)

Graph the line y=-2x-1

Answers

Answer:2024

Step-by-step explanation:

The graph shows a line and two similar triangles.

What is the equation of the line?

A. y=3/2x
B. y=2/3x
C. y=3x
D. y=2x

Answers

Answer:

y=3/2×

Step-by-step explanation:

the one line is the 3cm and the another line is 2cm

The equation of the line is y = 3/2 x

What is equation of line ?

"The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line. Using the equation of any line, we can find whether a given point lies on the line or not.

The equation of line is a linear equation with a degree of one."

The two points are origin and (6,4).

Using 2 point form we have

y - y1 = (y2 - y1/x2-x1) * x - x1

y - 0 = ( 6 - 0 / 4 - 0 ) * x

y = 3/2 x

Hence, A is the correct option.

To know more about equation of line here

https://brainly.com/question/21511618

#SPJ3

Uh please answer correctly I’ll mark you brainlist after I see if it’s correct!

Answers

Answer:

The equation for the volume of a rectangular prism is V=whl or width x height x length. The width is 7/2, the height is 7/5, and the length is 5. Multiply all of these numbers to get 49/2 or 24.5.

Answer:

24.5 cm cubed

(3.5 (7/2) times 1.4 (7/5) times 5)

Step-by-step explanation:

7/2cm  multiplied by 7/5cm multiplied by 5cm

(3.5 times 1.4 times 5 = 24.5)

2x × 3y(4 - 8) + 8(4y - 2x)​

Answers

Answer:

5.3

Step-by-step explanation:

Please help me!
Will give you brainlist!!!!

Answers

Example of monomial- 2, ab, and 42xy
2nd example- 5x, 2y to the third power, 7xy, x to the 5th power.
Example of binomial- x-2 x -2
2nd example- x-6 x negative 6 x negative 6 again.
Example of trinomial- x+y+z is a trinomial in three variables, x, y and z. 2a to the second power + 5a +7 is a trinomial in one variables. Xy+ x+2y to the second power is a trinomial in two variables x and y.
Examples of polynomial- 3x+2x-5
2nd example- 3x to the second power -2x -10.

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

57⁰

Step-by-step explanation:

To get the indicated angle we need to use the knowledge of trigonometry.

Since the required angle has both opposite and adjacent sides we use Tangent

Tan ? = opposite/adjacent

= 37/24

= 1.5412

To get the angle we now need to to find the tan inverse of the value we found

Tan inverse of 1.5412

= 57.03⁰

to the nearest degree it will be 57⁰

please help!!!!

Solving Systems of Linear Equations by Elimination
C.
0.6x = 1.2 +0.3y
2.2x-1.8y-1.6=0

Answers

By using systems of linear equations by elimination, it can be determined that x = 0.5 y +2 and 2.2x-1.8y-1.6=0 are equivalent to x=0.818182 and y+0.727273.

What do you meant by Systems of Linear Equations by Elimination ?

Using elimination, let's fix your system. 0.6 x=1.2+0.3 y, 2.2 x-1.8 y-1.6=0 in the graph, and y=2 x-4, y=1.222222 x-0.88888

Step 1: Divide both sides by 0.6 to find the solution for x = 0.6 x=1.2 + 0.3 y.

[tex]$$\begin{aligned}& \frac{0.6 x}{0.6}=\frac{0.3 y+1.2}{0.6} \\& x=0.5 y+2\end{aligned}$$[/tex]

Let's figure out what x is, 2.2 x-1.8 y-1.6=0.

First, multiply both sides by 1.8 y.

[tex]$$\begin{aligned}& 2.2 x-1.8 y-1.6+1.8 y=0+1.8 y \\& 2.2 x-1.6=1.8 y\end{aligned}$$[/tex]

Add 1.6 to both sides in step two.

[tex]$$\begin{aligned}& 2.2 x-1.6+1.6=1.8 y+1.6 \\& 2.2 x=1.8 y+1.6\end{aligned}$$[/tex]

3. Multiply both sides by 2.2.

[tex]$\frac{2.2 x}{2.2}=\frac{1.8 y+1.6}{2.2}$[/tex]

x=0.818182 y+0.727273

To learn more about linear elimination refer to :

https://brainly.com/question/29984821

#SPJ1

For the function

[tex]f(x)=x^2-2x-8\\[/tex]

Find the equation of the line of symmetry.

no links please and thank you! Please help ASAP! Will give Brainliest!

Answers

Answer:

x = 1

Step-by-step explanation:

For a quadratic function [tex]f(x)=ax^2+bx+c[/tex], the axis of symmetry is

[tex]x=-\frac{b}{2a}[/tex].

This comes from using part of the Quadratic Formula for finding zeros of the function:

[tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} = \frac{-b}{2a} \pm \frac{\sqrt{b^2-4ac}}{2a}[/tex]

See the -b/(2a) in the first term?  That's the x-coordinate of the vertex (turning point) of the parabolic graph of the function.  The axis of symmetry goes through the vertex.

if you are traveling at 60 mph you will travel almost the length of a football field in how many seconds

Answers

Time taken to cross the field will be 3.36 seconds.

What does physics mean by speed?

Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. There are four different types of speed. constant speed, varying speed, an average rate, instantaneous speed.

Solution,

Given,

speed=60 mph

length of football field=0.056 miles

time taken to cross it = distance/speed

time=0.056/60=0.00093 hour = 3.36 seconds.

To know more about average visit:-

brainly.com/question/29829527

#SPJ4

Making connections between arithmetic sequences and linear function


Use the graph or the formula to write the equation of the line in a slope intercept form

Answers

on solving the provided question, we can say that - the graphs which is shown as the straight line graph.

What is graphs?

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

here,

then line which is drawn is straright,

so the graph is straight .

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

3) Breanna thought of a number, subtracted 4 from it, and then multiplied her answer by 3. She got
a final number of 24. What was her starting number?

Answers

The answer would be 36

Someome please help me

Answers

Answer:

Step-by-step explanation:

Tell your teacher thet you need more helpp and pay attention to math

Zeke drove 143miles in 3 hours. What is his average rate of speed (m
please help i need to get a good grade but i’m stuck

Answers

Answer:

47.6667 mph

Step-by-step explanation:

143 divided by 3=147.6667

- if you want to round it then use 47.7 mph

Answer:

47.7 mph

Step-by-step explanation:

His average rate (speed) is

        143 miles

s = -------------------- = 47.7 mph

           3 hours

Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection. How many total coins are in her collection?

Answers

The total number of coins Piper has in her collection is 100 coins.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Piper has a coin collection. She keeps 12 of the coins in her box, which is 2% of the collection.

Let, The total number f coins in the box be 'x'.

Therefore, 2% of 'x' is 12 which can be numerically expressed as,

(2/100)×x = 12.

0.02x = 12.

x = 2/0.02.

x = 100.

So, She has 100 coins in her box.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ1

Other Questions
Consider a sequence whose five terms are: 3, 9, 27, 81, 243 Which function ( with domain all integers could used to define and continue this sequence What causes crime? There has been a debate for decades about what possibly causes crimes to be committed. Social Scientists, your assignment for this question is to examine some of the possible causes of crimes. In the space below, create a graphic organizer and then describe how five or more items you listed in your graphic organizer could be a cause of crimes being committed. What term is defined as the state of balanced health and well being? I need this please quick No links 16 points! Which of the following is another word for the main idea of a speech?mediummessagechronologyaudience Chicken is on sale for $2.29 per lb at the grocery store. If Jerry buys 3 lbs, what would be his final cost including 6% tax? Please show your work; only #8! Which attack creates false deauthentication management frames that appear to come from another client device, which causes the client to disconnect from AP Should Charlie have gone through with the operation or not? Good opinions plz Which statement best completes the diagram regarding Harriet Tubman?(DIAGRAM IS IN IMAGE ATTACHED) A. Tubman endures violence from slaveholders. B. Tubman leads many enslaved people to freedom. C. Tubman learns her slaveholder plans to sell her. D. Tubman changes her name to Araminta Ross. What is the discriminant of 3x^2 2x 1 0? The oceans tides are not only affected by the shape of the coastlines, or slope of the ocean floor, but also by the gravitational tug of the Sun and the Moon. Write a 600 word report on the effect of the Moon, and Sun, on tidal reaction, and high tides and low tides. What orientation are the Sun and Moon in to create high tides? Low tides? There are two special types of tides. What are they called and what positions are the Sun and the Moon in during these times? Mr Hong is a rare coin collector. He recently bought a coin valued at $5400. It has been determined that the coin will increase in value by $30 each month. Mr Hong plans to sell the coin within 5 years. a. name the quantities that stay the same in this problem situation & the quantities that remain constant . Determine if the sentence contains personification, hyperbole, or neither. I was so surprised when my mother told me the news that I could have been knocked over by a feather. The volume of a sphere is given by the equation V = 1/6(square root of 3.14) x 60^3/2where S is the surface area of the sphere. Find the volume of a water walking ball, to the nearest cubic meter please help.From Autobiography of an Ex-Coloured Manwhat does paragraph 4 reveal about the narrative relationship with his mother A: the narrator is grateful that his mother gave him everything he asked for as a childB: the narrator has a warm loving relationship with his mother C: their narrator has a cold resentful residence trip with his mother D: the narrator feels his mother never had time for him as a child Odin is recording the depreciation of his car. The table displays the number of years and the car's depreciated value for each year.What will be the value of his car in year 10?PLEASE GIVE ME THE ANSWER!! How do you solve inequalities in 7th grade? What were the stages of the Russian Revolution? In what ways was the Harlem Renaissance similar to the European Renaissance? In what ways it different?