simplify 2x²/x²-7x+12 - x²+9/x²-7x+12

Answers

Answer 1

Answer:

(x+3)/(x-4)

Step-by-step explanation:

[2x²/(x-4)(x-3)] - [x²+9/(x-4)(x-3)] =

(x²-9)/(x-4)(x-3) =

(x+3)(x-3)/(x-4)(x-3) =

x+3/x-4

Answer 2

Answer:

2x²/x² - 7x + 12 - x² + 9/x² - 7x + 12

2x²/x² simplifies to just 2 (the x²s cancel out)

2 - 7x + 12 - x² + 9/x² - 7x + 12

add like terms: (2 + 12 + 12) + (-7x - 7x) - x² + 9/x²

= - x² - 14x + 9/x² + 26


Related Questions

Write the equivalent expression for 3a + 12 using the greatest common factor (for example: for expression 4a + 16, the equivalent expression using the greatest common factor would be 4(a + 4) ).

Answers

Answer:

3(a+4)

Step-by-step explanation:

Judy and 2 friends won $145.00 at a fundraising raffle! They agreed to share the winnings equally. They received one $100 bill, four $10 bills, and five $1 bills

Answers

Answer:

There are 3 friends (Judy + 2 friends) who won $145.00

They want to share the winnings equally, but they got:

one $100 bill

four $10 bills

five $1 bills.

Assuming that they can share only those bills, the only way to share the winnings equally is:

Each friend gets one $10 bill

Each friend gets one $1 bill

Then each one gets $11.

And there is a surplus of:

one $100 bill (that can't be divided)

one $10 bill (that can't be divided)

two $1 bill (that can't be divided)

Then:

There is a common pool of $100 + $10 + 2*$1  = $112

And each one of the 3 friends gets $10 + $1 = $11

In the case where they can change the bills, each friend will get:

$145/3 = $48.33

In Olympic platform diving, the athletes dive from a platform that is 42 feet above
the water. A diver leaves the platform with an initial vertical velocity of 4 feet per
second. How many seconds does it take for the diver to enters the water?

Answers

Answer:

10.5 I think

Step-by-step explanation:

the platform is 42ft so if you divide 42 by 4 you get 10.5

another easy math no scam links

Answers

Answer:

Step-by-step explanation:

x = 8

PLEASE HELP IM BEGGINGG

What is the probability that a person whose name starts with the letter "J" will win the
presidency and the vice presidency? Write your answer as a simplified fraction.

Answers

Answer:

theres a 66.67%

Step-by-step explanation:

What is 11π/6 in degrees?
A) 315 degrees
B) 300 degrees
C) 210 degrees
D) 330 degrees

Answers

Answer:

The answer is D which is 330

Answer:

330 degrees

Step-by-step explanation:

[tex]\pi = 180 so \pi /6 = 30 \\30 x 11 = 330[/tex]

3. The amount was $120 at 5% rate for 4
years.

Answers

Answer:

Go to photo math thank me later

Step-by-step explanation:

dowload tha app on ur phone

Doug has $800 in his checking account. He spends
$40 each day out of the account
Which inequality can be used to find d,
the number of days it will take until his account has
less than $200 dollars in it?
A) 400-800 < 200
B) 400-800 < 200
C) 800+400 < 200
D) 800+40ds 200
E) 800-40d < 200
F) 800-40d s 200
Students, draw anywhere on this slide!

Answers

it should be E because you start with 800 and you are losing money each day, leaving you with answers E and F, but it has to be less than 200 (not sure what the S represents in answer F)

A line that is very close to most of the data points?
a.
line of best fit

b.
bivariate data

c.
scatter plots

Answers

Option A: line of best fit

please help! <3
what is the standard equations for a circle with a radius of 5 and located on -4 ,-3 on a grid?

Thank you guys <3

Answers

Answer:

(x+4)²+(y+3)²=25

Step-by-step explanation:

opposite of -4 is 4

x=4

opposite of-3 is 3

y=3

double the radius 5*5=25

Find the zeros of the function. Enter the solutions from least to greatest. f(x)=-3x^2+75

Answers

Answer:

Step-by-step explanation:

-5

5

Answer:

-5 and 5

Step-by-step explanation:

I used a graphing program to graph the function.

The x-intercepts of the graph are (-5, 0) and (5,0).

The zeros of the function are -5 and 5.

Hope this helps.

1. You go to the local Sport Grill for quarter wings day.
All chicken wings are $0.25. Your waiter also announces
that for your stay there will be an additional 20%
discount on wings. Your table of friends stays there for
2 hours and eats a total of 78 wings. How much do you
expect the bill to be for your wings?
na

Answers

Answer:

If the 20% discount is by the hour then the answer would be $11.70 I think.

0.25x78= 19.50

19.50x0.20(20%)= 3.90

19.50-3.90-3.90= 11.70

Hope this helps!

Step-by-step explanation:

Solve for p.
2p + 1=1
5p + 6=7

Answers

P = -1/9

I hope it’s helps you :)

Answer:

-1/9

Step-by-step explanation:

We need to solve out and find out the value of p . The given equations is.

=> 2p + 1/ 5p + 6 = 1/7

=> 7 ( 2p + 1) = 5p + 6

=> 14p + 7 = 5p + 6

=> 14p - 5p = 6-7

=> 9p = -1

=> p = -1/9

Hence the value of p is -1/9

x+4/9=3/4 what is x?

Answers

Answer:

11/36

Step-by-step explanation:

To answer this, you must first convert your fractions to have the same denominators (so you can add and subtract them). I switched it to 36ths. So, the equation would be x+16/36=27/36. When you subtract 16/36 from 27/36 you get 11/36. This cannot be simplified, so 11/36 is the answer. I hope it helps.

Which of the following relations is not a function? Select all.
D {(-3,5), (9,5), (6,5), (0,5)}
{(-1,-1), (-2,6), (-1, -3), (6,-1)}
{(0,0), (4,-5), (-4, 6), (5,6)}
((1,2), (-4, 0), (2,0), (-4,4)}

Answers

Hi there!

A function is a set of ordered pairs that do not have same x-values.

In a set of ordered pairs, If two or more ordered pairs have same x-values, they are not considered as a function but rather a relation instead.

From the question above, you notice that two of the choices have same x-values and others don't have.

The relations that are not functions are the second choice and fourth choice because two ordered pairs have same x-values.

Any questions can be asked through comment.

Furthermore, a function is also a relation but a relation isn't always a function.

Hope this helps, and Happy Learning! :)

look at the pic and read what it says to answer my question

Answers

Answer:

70

Step-by-step explanation:

Answer:

-70 F

Step-by-step explanation:

-38 - 32 = 70

How many solutions does X^2 - 9x = -11 have?

Answers

Answer:

this is the answer Hope's it helps

2 solution

Step 1: Subtract 11 from both sides.

x²9x-11=11-11

x² - 9x - 11 = 0

For this equation: a=1, b=-9, c=-11

1x² + -9x + -11 = 0

Step 2: Use quadratic formula with a=1,

b=-9, c=-11.

X = - b ± √b² - 4ac

2a

X = -(-9) ± √(-9)² - 4(1)(-11)

2(1)

X =

9+√125/ 2

9/2 5/2 √5 or x = 9/2 -5/2 + -5/2 √5

Peter has a coupon for 15% off the price of any item in a sporting goods store. He wants to buy a pair of shoes that are priced at $36.99. About how much will the shoes cost after the discount.

Answers

Answer:

$31.43

Step-by-step explanation:

If you take 15% of 36.99 you get around 5.56. So all you have to do is subtract that from the original amount.

Select the correct answer from each drop-down menu.
The graphs below show the number of faulty products, y, produced by a company for the first eight months since production started. Both graphs show the same information.

Answers

Answer:

Graph A ,appears to decrease less

Step-by-step explanation:

In the word problem it asked us which graph seem to have "Slight Decrease"means if obeserve the graph it shows graph A.

Alex should use Graph A for the presentation as it shows the number of faulty products as a decrease on the graph

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let graph A shows the product quality with number of faulty products over the period of months

And , let graph B shows the product quality with number of faulty products over the period of months

Now , the line is decreasing in a steady manner in graph A as the number of faulty products is decreasing at a nominal rate

Hence , graph A is best for presentation

To learn more about equation of graph of polynomials click :

https://brainly.com/question/16957172

#SPJ7

a school theater can sell 21 tickets for a show if 6 have been sold how many tickets are still left to be sold

Answers

Answer:

15

Step-by-step explanation:

21-6=15

Answer:

The answer is 15

Step-by-step explanation:

Just subtract

f(x)=4x^2-17x+3 how many distinct real number zeros does f have?​

Answers

Answer:

2

Step-by-step explanation:

2 distinct real number zeros

Step-by-step explanation:

The discriminant b^2 - 4ac

= (-17)^2 - 4*4*3

= 241

So it has 2 distinct roots.

Need help with school work

Answers

15^2 + 36^2 = 39^2

Your answer is 39

Answer:

the answer is 38

Step-by-step explanation:

c=a2+b2=362+152=39

Determine a series of transformations that would map figure F onto figure G.

PLEASE ASAP

Answers

Answer:

reflection, translation

Step-by-step explanation:

I can explain it if you want if you reply to this but since you are in a hurry that'll take too long to type right now haha

What is the value of x if 4x - 2 < 26?

Answers

Answer:

4x<28

x<7

x;(-infinite,7)

Anyone wanna help me

Answers

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

[tex]\mathsf{4(3 + 5) - 3\times9^2}[/tex]

[tex]\mathsf{3 + 5 = \bf 8}[/tex]

[tex]\mathsf{4(8) - 3\times 9^2}[/tex]

[tex]\mathsf{4(8) = \bf 32}[/tex]

[tex]\mathsf{32 - 3\times9^2}[/tex]

[tex]\mathsf{9^2 = 9\times9 = \bf 81}[/tex]

[tex]\mathsf{32 - 3\times 81 }[/tex]

[tex]\mathsf{-3\times81 =\bf -243}[/tex]

[tex]\mathsf{32 - 243}[/tex]

[tex]\mathsf{= \bf -211}[/tex]

[tex]\boxed{\huge\text{= \bf -211}}[/tex]

[tex]\boxed{\boxed{\mathsf{OVERALL\ ANSWER: \bf 4(8) - 3 \times 81 \rightarrow }\huge\text{\bf Option C}}}\huge\checkmark[/tex]

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

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

In ΔSTU, t = 3.4 cm, u = 6.9 cm and ∠S=21°. Find the area of ΔSTU, to the nearest 10th of a square centimeter.

Answers

Answer:

4.2

Step-by-step explanation

Delta

The area of the triangle STU to the nearest of a square centimeter is 4.2 cm².

Area of a triangle

area of the triangle = 1 / 2 tu sin S

where

height = u sin S

Therefore,

t = 3.4 cm

u = 6.9 cm

∠S = 21°

Hence,

area of the triangle = 1 / 2 × 3.4 × 6.9 sin 21°

area of the triangle = 23.46 sin 21 / 2

area of the triangle = 23.46 × 0.35836794954 / 2

area of the triangle = 8.40731209633 / 2

area of the triangle = 4.20365604817

area of the triangle = 4.2 cm²

learn more on triangle here: https://brainly.com/question/22252675

The graph shown below expresses a radical function that can be written in the form f(x) = a * (x + k) ^ (1 / n) + c does the graph tell you about the value of k in this function ? A. k equals zero.
B. k is less than zero.
C. k is greater than zero.
D. It is not possible to tell whether k is greater than or less than zero.

Answers

Answer:

C

Step-by-step explanation:

Just took the quiz

Based on the graphed values of f(x) and independent variable x, the graph shows that C. k is greater than zero.

What is the value of k?

We have a c value of -1 which is where the y axis is intercepted.

We know that k isn't zero because the x and y values are not the same. We can also tell that k is not less than 0 because if it was, the f(x) for the smaller x value would lead to a larger f(x) value.

The only logical conclusion therefore, is that k is greater than zero.

Find out more on radical functions at https://brainly.com/question/13430746.

10 (27 – 4 4) = 100.0​

Answers

Answer:

What is your question???

Step-by-step explanation:

can anyone help????? quick!!

Answers

Answer:

C 35 hours

Explanion

5.25+4.75=10 every two days

10/2=5 hours a day

5x7=35 hours a week

Please mark brainliest

find the surface area, and please show me steps so i can understand this myself !

Answers

Answer:

The surface area of the triangular prism is approximately 401.582 square feet.

Step-by-step explanation:

The figure represents a triangular prism, the procedure for calculating the surface area of the entire figure consists in adding the areas of each face (3 rectangles and 2 triangles):

[tex]A = 2\cdot \left[\frac{1}{2}\cdot (9\,ft)\cdot (4\,ft)\right] + (16\,ft)\cdot (4\,ft) + (9\,ft)\cdot (16\,ft) + (16\,ft)\cdot \sqrt{(9\,ft)^{2}+(4\,ft)^{2}}[/tex][tex]A \approx 401.582\,ft^{2}[/tex]

The surface area of the triangular prism is approximately 401.582 square feet.

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