Write as a single fraction in its simplest form.

Write As A Single Fraction In Its Simplest Form.

Answers

Answer 1

[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]


Related Questions

Francesca is painting a picture of the purple flowers in her garden. She mixes paint to make the perfect color for each type of flower. For the daisies, she mixes 2 ounces of white paint and 5 ounces of purple paint. For the tulips, she mixes 3 ounces of white paint and 6 ounces of purple paint. Which flower is a darker shade of purple?

Answers

Find total ounces mixed for each flower:

Daisies = 2+5 = 7 ounces

Tulips = 3 +6 = 9 ounces

Now find the ratio of purple to white for each one:

Daisies = 5/7 = 0.714

Tulips = 6/9 = 0.666

Daisies have more purple so would be the darker ones.

Answer:

Daisies

Step-by-step explanation:

IXL told me it was right

What is an equation of the line that passes through the points (4, -1) and (8, 5)?

Answers

Answer:

y=3/2x-7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-(-1))/(8-4)

m=(5+1)/4

m=6/4

simplify

m=3/2

y-y1=m(x-x1)

y-(-1)=3/2(x-4)

y+1=3/2(x-4)

y=3/2x-12/2-1

y=3/2x-6-1

y=3/2x-7

I rlly don’t understand due today please help!

Answers

Answer:

a) 2x+4

b)x=8

Step-by-step explanation:

a) x+x+4 =2x +4

b) 2x+4= 20

2x = 16

x=8

Jay bought 8 packets of Chips

c) Jay: 8 x 60

=£4,80

Lauren : 12 × 60

= £7,2

Please don’t answer just for points! Help is really needed~

Answers

i dont understand

what do we need to do?

1 is 65
2 is 65
3 is 148
4 is 32

I am not sure at all.

what is pls help someone with the problem?2x + 3 = 9

Answers

Answer:

3

Step-by-step explanation:

2x+3=9

2x=9-3

2x=6

2    2

x=3

Answer: x = 3

Step-by-step explanation: 2x+ 3= 9

                                             2x +3 -3 = 9 - 3

                                             2x = 6

                                             2x/2 = 6/2

                                             x = 3

Simplify the expression 4(-y+2) -3y

Answers

Answer:

−7y+8

Step-by-step explanation:

1. Simplify each term.

−4y+8−3y

2. Subtract 3y from −4y.

−7y+8

Hope this helps :D

Using the GCF you found in Part b re write 35 +63 factor one factor is the GCF and the other is the sum of the two numbers that do not have a common factor show your work

Answers

Answer:

7(9 + 14)

Step-by-step explanation:

The Greatest Common Factor of 35 and 63 is 7; both 35 and 63 are evenly divided by 7.  Thus, 35 + 63 can be rewritten as 7(5) + 7(9), or 7(14)

So 35 + 63 = 7(9 + 14)

Answer:

= 98

Step-by-step explanation:

k/5.6+ 41.5 = 10.8
The solution is k=​

Answers

Answer: The solution is k = -171.92.

Answer:

k = - 171.92

Step-by-step explanation:

[tex]\frac{k}{5.6}[/tex] + 41.5 = 10.8 ( subtract 41.5 from both sides )

[tex]\frac{k}{5.6}[/tex] = - 30.7 ( multiply both sides by 5.6 to clear the fraction )

k = - 171.92

Helpppp meee pleaseeee

Answers

Answer:

the correct answer is ( ZYXW ) because the given polygon is a rectangle and its properties is that the opposite sides are equal means the lenght and breath of the unknown side for the big rectangle is 6 , 3 and for small rectangle the the unknown sides are 1 , 2 only so now you've got all the side of both polygons so now you take the ratio of each side and then you can easily find the sides

Step-by-step explanation:

Hope it helps

Have Nice Day : )

Choose the equations that are not linear equations.



X/2 -y*3 = 1
O - x-y= 2.
x2 + y=4
x= 5

Answers

Answer:

#2 and #4

Step-by-step explanation:

Anything with a variable squared is not linear

To find the distance across a river, a forester sets up stakes at A, B,C and D so that
stakes D and B are in line with a larger tree T, on the opposite bank. Calculate the
width of the river using the measurements given. (Upload a Picture of your solution)

Answers

Answer:

75m

Step-by-step explanation:

They are similar triangles: they have two corresponding angles: in a triangle with an angle of 90°, the other two will be of 45°.

Now that we know they are similar, we can calculate the ratio of the sides, by doing 10/2=5

We want to know the side AT, so we can do that by multiplying DC for 5:

DC = 15 × 5 = 75m

You can also check this by applying Pythagoras' Theorem:

DB =

[tex] \sqrt{15^{2} + 2^{2} } [/tex]

Which equals 15.1 m

The hypotenuse of the other triangle is 15.1 × 5 = 75.5 m

Finally, we can apply for the last time the Pythagoras' Theorem to find AT:

[tex] \sqrt{75.5^{2} - 10 {}^{2} } [/tex]

Which equals 74.8 = 75 m

what is factoring: problems involving factors of polynomials

Answers

Answer: Factoring is essentially the reverse of the distributive property. You are basically trying to simplify the polynomial by taking out common factors. You also may try reducing the power (or the highest exponent) of the polynomial with factoring. I would say that factoring is the breaking down of a bigger polynomial into a product of two expressions that are usually multiplied by each other. One specific use of factoring we see a lot is the quadratic formula.

1. Quadratic Factoring --> [tex]x^2+2x-15[/tex] --> we have an [tex]x^2[/tex] but we want there to only be "[tex]x[/tex]"s. Here we need to constant numbers (integers), that multiply together to get [tex]-15[/tex], and add up to [tex]+2[/tex]. (5 and -3)

    - [tex]x^2+2x-15[/tex] ==> [tex]x^2+5x-3x-15[/tex] ==> [tex]x(x+5)-3(x+5)[/tex] ==> [tex](x-3)(x+5)[/tex]

Above: We can see that we factor out [tex]x[/tex] from [tex]x^2+5x[/tex] (This shows that we are aiming to break it down to make it easier to evaluate).

Remember: Factoring does not always mean that the polynomial is in a simpler form. There are many situations where factoring is totally unnecessary and complicates the polynomial even more.

--------------------------------------------------------------------------------------------------------------On a separate note: Distributive Property, if you are unsure or not fully sure on what that means, is when you multiply two expressions together to create one expression. Multiple expressions are combining into one.

For example, factor 6x²+10x as 2x(3x+5).

Factoring out the greatest common factor (GCF)
Find the GCF of all the terms in the polynomial.
Express each term as a product of the GCF and another factor.
Use the distributive property to factor out the GCF.

which expression is equivalent to (-3) x + (-3) (-12)

Answers

Answer:

-3x - 15

or

-3(x + 5)

Step-by-step explanation:

-3x - 3 - 12

-3x - 15

-3(x + 5)

sorry if this doesn't help but i hope it does

Answer:

-3(x + 5)

Step-by-step explanation:

At a theater, adult tickets for a play cost $15 each and child tickets cost $10 each. If 300 tickets were sold and the sale of the tickets generated between $3575 and $3500, inclusive, what is a possible number of child tickets that were sold?
please help ​

Answers

Answer:

Answer: 375 adult tickets were sold and 125 children tickets were sold.

help please I'm stuck

Answers

Step-by-step explanation:

the line was translated. in other words : it was shifted. it only changed its position. no other attribute changed.

so, the length is still 4.

Divide: (3x³+4x+11)/(x²-3x+2)​

Answers

In attachment I have answered this problem.

If measure of angle 3 = 74° find each measure NEED HELP ASAP

Answers

Angles 1,2,3,4 will all equal 74°

It is given that set H such that n(H) = x and H has 8 subsets. Determine the value of x.
A. 2
B. 3
C. 4
D. 8​

Answers

the answer is c. 4 because it’s a subset of 8

Chords AB and CD of a circle intersect.
. AB is divided into two line segments measuring 4 cm and 18 cm.
• CD is divided into two line segments, with the length of one segment twice the length of the other.
What is the length of CD?

Answers

Step-by-step explanation:

line CD, WE and BD are half of the length of CD

(3^3 times 6^6)^-3 in fraction form

Answers

Use cymath! It's free to use and can easily help you with math like this.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(3^3 \times6^6)^{-3}}\\\\\mathsf{3^3}\\\mathsf{=3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= 27}\\\\\mathsf{(\bold{27}\times6^6)^{-3}}\\\\\mathsf{6^6}\\\mathsf{= 6\times6\times6\times6\times6\times6}\\\mathsf{= 36\times36\times36}\\\mathsf{= 1,296\times36}\\\mathsf{= 46,656}\\\\\mathsf{(27\times \bold{46,656)}^{-3}}\\\\\mathsf{= \dfrac{1}{1,256,712\times1,256,715\times1,259,712}}\\\\\mathsf{=\dfrac{1}{1,999,004,627,104,432,128}}[/tex]

[tex]\large\text{Therefore, your answer is: }\mathsf{ \dfrac{1 }{1,999,004,627,104,432,128}\ }}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

if u can get a better picture I can help you

Round 383.52 to the nearest tenth.
I just need this one answer from something, I'll give BRAINLY a lot to

Answers

It should be 383.5 if you’re rounding the decimal to the nearest tenth
To round to he nearest whole tenth it would be 380

Answer:

383.5

Step-by-step explanation:

We want to round 383.52 to the nearest tenth.

The tenth would be the 5.

To round we look at the number after the one we want to round ( so 2 )

If the number is greater than 4 so ( 5, 6, 7, 8 or 9 ) then we raise the number that we want to round but if its less than 5 ( 4, 3, 2, 1 , 0 ) we keep the number as it is.

2 is less than 5 so we keep 5 as it is to get 383.5

the sum of two numbers is 68. the larger number is 14 more than the smaller number. what are the numbers?

Answers

Let the smaller number be x.Then, the larger number = x + 14Given, the sum of these two numbers is 68.Therefore, by the problemx + (x + 14) = 68or, 2x + 14 = 68or, 2x = 68 - 14or, 2x = 54or, x = 54 ÷ 2or, x = 27Therefore, the smaller number is 27.So, the larger number = (27 + 14) = 41

Answer:

The numbers are 27 and 41.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

The numbers would be 41 and 27

Step-by-step explanation:

It would be 41 and 27 because the number we know is 64 so if you divide that by 2 you have 34 (34+34=68) and if you then take half of 14 (14 comes from this part of the question "the larger number is 14 more than the smaller number".) (14/2=7) 7 from one side and add it to the other side you get 41+27=68

(we can also fact check this because your smaller number 27 plus 14 equal 41, then and 41 plus 27 equals 68)

Rewrite
28/9 as a mixed number.

Answers

Answer: 28/9 as a mixed number is 3 1/9

Step-by-step explanation:

Answer:

3 1/9

Step-by-step explanation:

3 times 9 is 27

27 plus 1 is 28

write 2³ in simplified form​

Answers

Answer:

8

Step-by-step explanation:

2^1 = 2×1 = 2

2^2= 2×2= 4

2^3= 2×2×2= 8

The answer is: 8
The 3 will represent how many times you need to multiple 2.
Example: 2x2x2=
First multiple 2x2=4
Then multiple 4x2= 8

I WILL GIVE BRAINLIEST Hey can someone tell me simply HOW to come to this conclusion? im a bit confiused as to how, dont want to cheat i want to learn. (P.S ive missed multiple grades which has left me with alot of gaps to fill.)

Answers

Answer:

  (b)  x +2y = 8

Step-by-step explanation:

There are at least a couple of ways to come to the conclusion.

  1) use the given information to write the equation of the desired line

  2) check to see which of the answer choices satisfies the requirement

__

1)

The given line has two specified points on it. These can be used to find its slope. (Or, you can count grid square to see it has a rise of -1 for a run of +2.)

The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -0)/(4 -(-4)) = -4/8 = -1/2

Comparing this to our grid square count, we see they are the same:

  m = rise/run = -1/2

Now, we have a slope (-1/2) and a point (2, 3), so we can use these to write the point-slope equation of the desired line:

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

  y -3 = -1/2(x -2) . . . . . point-slope equation of the desired line

  y -3 = -1/2x +1 . . . . . . eliminate parentheses

  1/2x +y = 4 . . . . . . . . add 1/2x +3 to both sides

  x +2y = 8 . . . . . . . . . multiply by 2

__

2)

Perhaps easier in this case is to try the given equations to see which is satisfied at the given point. There are two different left-side expressions to evaluate at the point (x, y) = (2, 3):

  x +2y = (2 +2(3)) = 2+6 = 8

  2x +y = 2(2) +3 = 4 +3 = 7

Only the equation ...

  x +2y = 8

is satisfied at the given point.

_____

Additional comments

While I encourage you to learn to solve questions like this "from scratch", modern math curriculum is often "multiple choice."

When faced with multiple choices for answers, it is often easiest to ...

  (a) eliminate the ones that are not self-consistent or that are false on their face;

  (b) eliminate the ones that have an obviously fatal flaw (wrong sign of slope, too large or too small, for example);

  (c) choose from the remaining ones the one that properly answers the question (satisfies all requirements).

__

When you solve a standard-form equation for y, you get ...

  ax +by = c

  by = -ax +c

  y = -a/bx +c/b

That is, the slope of the line is -a/b.

For the two left-side expressions in the answer choices, the slopes are ...

  x +2y   ⇒   slope = -1/2

  2x +y   ⇒   slope = -2/1 = -2

The scales on the graph are the same in the x- and y-directions, so the shallow negative slope of the given line is clearly less than 1. That eliminates the last two answer choices already.

Which inequality describes the possible values for x?
+
24°
36
(3x-6)°
34
e
A 2 B 2 C2 D2

Answers

The inequality that best describes the possible values of x is; Choice A: 2 < x < 10

In a polygon such as that given in the question;

Two scenarios may occur regarding angle; (3x -6)

They are as follows:

3x - 6 < 24. OR3x - 6 > 0.

This is so because angle 3x - 6 must be between and 24° since 36 > 34

By evaluation;

3x - 6 < 24

3x < 24 + 6

3x < 30

x < 30/3

x < 10

Also,

3x - 6 > 0

3x > 6

x > 2.

Therefore, the inequality that best describes the possible values of x is; Choice A: 2 < x < 10

Read more on inequalities:

https://brainly.com/question/22137960

The inequality that describes the possible values of x is 2 < x < 10.

The given parameters:

Longer length = 36Shorter length = 34Angle facing the longer length = 24⁰Angle facing the shorter length = (3x - 6)⁰

From the given polygon, the angle facing the shorter length (34) will have the following possible values;

(3x - 6)⁰ < 24⁰, or(3x - 6)⁰ > 0

The range of of values of x is calculated as follows;

3x - 6 < 24

3x < 24 + 6

3x < 30

[tex]x < \frac{30}{3} \\\\x< 10[/tex]

or

3x - 6 > 0

3x > 6

[tex]x >\frac{6}{3} \\\\x >2[/tex]

Thus, the inequality that describes the possible values of x is 2 < x < 10.

Learn more about inequality here: https://brainly.com/question/14361489

Find the unknown side (w) of the rectangular solid. Please help..

Answers

Answer:

the answer should be 2

Step-by-step explanation:

8×13=104

208÷104=2

Answer:

w = 2

Step-by-step explanation:

V_rectangular prism = l * w * h

208 = 13 * w * 8

208 = 104 * w

w = 208/104

w = 2

-Chetan K

The expression 40 is equivalent to ?

Answers

Answer:

The expression 40 is equivalent to 20 × 2=40

Step-by-step explanation:

20 ×2=40

the expression 40 is equivalent to 4 x 10

A train is moving at 65.0 m/s. After 16.0 seconds, it is moving at 85.0 m/s. What is the acceleration?

Answers

Happy Holidays!

We can use the following equation to calculate uniform acceleration:

[tex]\large\boxed{a = \frac{\Delta v}{\Delta t} = \frac{v_f - v_i}{\Delta t}}}[/tex]

Plug in the given values to solve:

[tex]\frac{85 - 65}{16}}} = \frac{20}{16} = \boxed{1.25 m/s^2}}[/tex]

Answer:

Hope it will help you...

Other Questions
Summarize this short text for the most relevant information:The 2 main areas of agreement of the Glasgow climate pactDeveloping countries The agreement pledged to significantly increase money to help poor countries cope with the effects of climate change and make the switch to clean energy. There's also the prospect of a trillion dollar a year fund from 2025 - after a previous pledge for richer countries to provide $100bn (72bn) a year by 2020 was missed. While some observers say the COP26 agreement represented the "start of a breakthrough", some African and Latin American countries felt not enough progress was made. Fossil fuel subsidies World leaders agreed to phase-out subsidies that artificially lower the price of coal, oil, or natural gas. However, no firm dates have been set. Help me out plesseee!! PLEASE HELP WILL MARK BRAINLIEST Mi tarea de ingls es leer el libro de Roberto Clemente y su equipo. Me encanta leer, quiero ser deportista y quiero aprender de ClemBased on the text and what you learned in the lesson, Clemente may inspire interest inO art and health O education and nutritionO competition and humanitarian workvolunteerism and environmental werk I need help understanding this Which of the following terms describes an author's reference to someone, something, or somewhere real outside of a text?an oxymorona metaphora themean allusion What does it put away ??? What are the contributions Thomas Jefferson made to the revolution? List 6 things. Can any one explain this question worth points! plz explain if you can which country would you visit Machu Picchu A bulb has a resistance of 15 and is rated at 3A. What is the maximum voltage that can be applied across the bulb? 1. An electrically charged atom ___________ Please help me with this question Which of these graphs represents the effect of temperature on the rate of photosynthesis? Explain your answer. WILL MARK BRAINLIEST!! what is the powerhouse of the cell? witch of the following best illustrates an achievement of classical Indian science 1 Name the shapes that are being described. a I have three sides that are all the same length. I have three equal angles. Thave three lines of symmetry and rotational symmetry of order 5. b I have four sides. Thave one line of symmetry and rotational symmetry of order 1. Two of my angles are equal. I have two pairs of equal length sides' C I have six sides. All my sides are the same length. I have six lines of symmetry and rotational symmetry of order A bag of skittles contains 7 purple, 4 red, 6 yellow, and 5 green skittles. Randomly I will grab a skittle, eat it and then grab another to eat. What is the probability that I will get a purple and then red? Ben currently has $70 in his trip fund. He makes $45 per week doing yard work for his neighbors. He keeps $18 of the $45 for weekly expenses. The remaining amount goes into his trip fund. Which function can be used to determine the amount of money (y), in dollars, that Ben has in his trip fund at the end of xx weeks?y=70+27x What are the segments of DNA that code for specific traits called? The first equation in the following system gives a company's income, in dollars, for selling x baseball caps. The second equation gives the cost of making x baseball caps. Y = 8x y = -0. 01 x2 4x 3,200 The solution of the system is (400, 3,200). How would you interpret this solution?.