Express in partial fraction
[tex] \frac{ {4x}^{2 - } 47x + 141}{x {}^{2} + 13x + 40} [/tex]

Answers

Answer 1

Step-by-step explanation:

There is one possible way:

(4x² - 47x + 141)/(x² + 13x + 40) = (4x² + 4*13x + 4*40 - 47x - 52x - 160 + 141)/(x² + 13x + 40) =4  - (99x + 19)/(x² + 13x + 40)  

No further simplification

Answer 2

Answer:

basic polynomial division.put 4 in quotient,subtract with the dividend the multiplicative integer, then what in the remainder. stays a remainder.partial fraction is the sum of polynomial, decomposition, with a simple denominator.answer:  [tex]4+\frac{-99x-19}{x^2+13x+40}[/tex]
Express In Partial Fraction[tex] \frac{ {4x}^{2 - } 47x + 141}{x {}^{2} + 13x + 40} [/tex]

Related Questions

Which equation models the rational function shown in the graph?

Answers

people need a picture so we can see what the graph looks like. next time send a pic along with ur question

Answer: its AAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Step-by-step explanation:

lol

If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1 2 % annual interest to ensure that the interest he receives each year is 4 1 2 % of the total amount invested?

Answers

Ben should assist additional money of 2250

Please answer this (who ever answers correctly gets brainlest)

Answers

Answer:

18480 ft

Step-by-step explanation:

Note that 1 mile = 5280 feet. We can use this information to set up a unit converter:

[tex]3.5mi(\frac{5280ft}{1mi})[/tex]

Miles cancels out on the bottom giving us...

[tex]3.5*5280ft=18480ft[/tex]


1 mile =5280 ft so 3.5x5280=18480

f(x) = -9x + 7 find f(3) HELPPP

Answers

Given :-f(x) = -9x + 7 .

To Find :-The value of f(3) .

Solution :-

The given function is ,

→ f(x) = -9x + 7 .

And we need to find out its value at x = 3 , that is f(3) . So just substitute x = 3 ,

→ f(3) = -9*3 +7

→ f(3) = -27+7

f(3) = -20

Hence the required answer is-20 .

I hope this helps.

What is the value of n?
Enter your answer in the box.

(NEED ANSWER ASAP. PLEASE DON'T ANSWER ANYTHING IRRELEVANT OR I'LL REPORT U. PROVIDE AN EXPLANATION AS WELL IF POSSIBLE. THANK U FOR UR HELP)

Answers

Answer:

5

Step-by-step explanation:

Well, there's a formula: to find the measure of any section, you should multiple every section to its ending after the crossing, and then make a proportion.

So, 9(n+7) = 18(n+1)

9n+63 = 18n+18

-9n+45=0

-9n=-45

n=-45/-9

n=5

3/14/7/10

[tex] \frac{ \frac{ \frac{3}{14} }{7} }{10} [/tex]
simplify ​

Answers

Answer:

= 3/14 × 10/7

= 15/14

hope it helps!

Answer:

= 3/14 × 10/7

= 15/14

Step-by-step explanation:

branliest pls

Find ALL solutions for the photo given. Find all real solutions of the equation given

Answers

Step-by-step explanation:

using formula method... insert the variables

if the radius of a circle is increased by 50 perent what will be the percent increase in the circumfrence

Answers

Answer:

50%

Step-by-step explanation:

The equation for circumference is:

[tex]C=2\pi r[/tex]

In this case, the radius and the circumference are directly proportional meaning that if the radius increases by 50%, the circumference will also increase by 50%.

Let's use some examples to prove this:

Radius : 2

Increase by 50% : 2*50%=2*(50/100)=2(1/2)=1 --> 1+2 = 3

[tex]C=2\pi r=2\pi 3=6\rightarrow 50 \ percent\ increase\ from\ 4\\C=2\pi r=2\pi 2=4[/tex]

Radius : 4

Increase by 50% : 4*50%=4*(50/100)=4(1/2)=2 --> 2+4 = 6

[tex]C=2\pi r=2\pi 6=12\pi\rightarrow50\ percent\ increase\ from\ 8\\C=2\pi r=2\pi 4=8\pi[/tex]

In both cases, when we increased the radius by 50%, the circumference also increased by 50%, proving our previous statement correct.

Therefore, when the radius of a circle is increased by 50%, the circumference will also increase by 50%

Lesson 19 Practice
Rewrite the product as a sum or difference of two terms: 2(x + y)

Answers

Hey there!

2(x + y)

DISTRIBUTE 2 WITHIN the PARENTHESES

= 2(x) + 2(y)

= 2x + 2y


Therefore, your answer is: 2x + 2y


Basically, 2 (the first one) is your coefficient, x & y are your variables, and 2 (the second one) is your constant. Whereas, your addition symbol (the sum or +) is your operator.


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Can anyone please help me with this? I’d appreciate it a lot!

Answers

Answer:

(−2, −3)

Step-by-step explanation:

Let's solve your system by substitution.

x−9y=25;6x−5y=3

Step: Solvex−9y=25for x:

x−9y=25

x−9y+9y=25+9y(Add 9y to both sides)

x=9y+25

Step: Substitute9y+25forxin6x−5y=3:

6x−5y=3

6(9y+25)−5y=3

49y+150=3(Simplify both sides of the equation)

49y+150+−150=3+−150(Add -150 to both sides)

49y=−147

49y

49

=

−147

49

(Divide both sides by 49)

y=−3

Step: Substitute−3foryinx=9y+25:

x=9y+25

x=(9)(−3)+25

x=−2(Simplify both sides of the equation)

Therefore answer:

x=−2 and y=−3 which is (-2, -3)

Hope it helps!

I did the problem and also got (-2 , -3) !!

Solve for x

2x-3x(3+2)=10

Answers

Answer:

Step-by-step explanation:

2x - 3x(3+2) = 10

Distribute the -3x to the numbers inside the parenthesis:

2x - 9x -6 = 10

Simplify:

-7x = 16

Isolated the x:

x = 16/-7

A list of all possible outcomes of an experiment is called:.

Answers

Answer:

sample space

Step-by-step explanation:

65 cm of 5.6 m

find the percentage

Answers

Answer:

8.61%

Step-by-step explanation:

5.6/65*100

Solve for x using the given information. Explain your steps.

Answers

6x + ( 3x - 9) = 90°( being complementary angles )

6x+3x -9 = 90°

9x = 90° + 9

x = 99 / 9

x = 11

For what value of y does 125 = (StartFraction 1 Over 25 EndFraction) Superscript y minus 1? Negative five-halves –2 –1 Negative one-half.

Answers

Answer:

D. -1/2

Step-by-step explanation:

First to rewrite the equation in numbers

[tex]125=\frac{1}{25}^{y-1}[/tex]

First, we need to find what exponent would get 1/25 to 125.

[tex]\frac{1}{25}^{y}=125[/tex]

Sense 1/25 is a fraction we must use a negative exponent to make it a whole number. We can just find what exponent would get 25 to 125 then make it negative. 1 wouldn't be enough and 2 would be too much so y is between 1 and 2 into negative is between -1 and -2. Sense the original equation has (y-1) the only option you can subtract 1 from to get between -1 and -2 is -1/2 which would give -1 1/2.

Answer:

Keep it simple: D or -1/2

Step-by-step explanation:


is x =4 a solution of the equation
13=2x + 4?

A.yes
B.no

Answers

No, it is not. If you plug 4 into the equation in the place of x, you get 13=2(4)+4

13=8+4

13=12

It equals 12, not 13.

Answer:

No

Step-by-step explanation:

Because If You Do 2 x 4 you get 8 and 8 + 4 = 12 and not 13 so the answer is 4.5 because 4.5 x 2 = 9 and 9 + 4 = 13

(4x+7) ° is congruent to [5(x-4)] °

What is the value of x?

Answers

Answer:

x=17

Step-by-step explanation:

1) 4x +7 = 5(x-4)      Congruent angles

2) 4x + 7 = 5x -10    Distributive Property

3) Simplify

4x + 7 = 5x - 10
-4x        -4x
  7 = x - 10
+10       +10

x = 17

8 1/3 divided by x=2 1/3 divided by 8.1

Answers

Answer:

[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]

[tex]\large\underline{\textsf{What are Equations?}}[/tex]

[tex]\textsf{Equations are statements that determine 2 or more expressions are equal.}[/tex]

[tex]\underline{\textsf{This means that;}}[/tex]

[tex]\tt \frac{8 \frac{1}{3} }{x} \ is \ equal \ to \ \frac{2 \frac{1}{3} }{8.1}[/tex]

[tex]\textsf{For equations, rather \underline{proportions} such as these, we should \underline{Cross Multiply}.}[/tex]

[tex]\large\underline{\textsf{What are Proportions?}}[/tex]

[tex]\textsf{Proportions are comparisons to the size, and how large/small a value is.}[/tex]

[tex]\large\underline{\textsf{What is the Cross Multiplying?}}[/tex]

[tex]\textsf{Cross multiplying is indeed as simple as it sounds, basically multiply the oppsite}[/tex]

[tex]\textsf{known value by another known value, then divide the product by last known}[/tex]

[tex]\textsf{number. This sounds like a lot, but I'll give an example.}[/tex]

[tex]\underline{\textsf{Example;}}[/tex]

[tex]\tt \frac{1}{3} = \frac{2}{x}[/tex]

[tex]\textsf{We are asked to find x in the given proportion. We should use the cross}[/tex]

[tex]\textsf{multiplication method. Note that we should multiply the known values that are}[/tex]

[tex]\textsf{on opposite sides, and leave the known value with x as its opposite value alone}[/tex]

[tex]\textsf{until we have our product.}[/tex]

[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x}[/tex]

[tex]\textsf{3 and 2 are opposite from each other, hence we'll multiply them.}[/tex]

[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x} \rightarrow \frac{6}{1} = x[/tex]

[tex]\textsf{We'll divide by the last remaining known value, 1, then that should be the value}[/tex]

[tex]\textsf{of x.}[/tex]

[tex]\tt x = 6[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\textsf{Use the Cross Multiplication Method.}[/tex]

[tex]\tt \frac{8 \frac{1}{3} }{x} = \frac{2 \frac{1}{3} }{8.1}[/tex]

[tex]\tt 8 \frac{1}{3} \ \textsf{and} \ \tt 8.1 \ \textsf{are opposite from each other, which means we will multiply those}[/tex]

[tex]\textsf{values together.}[/tex]

[tex]\tt \frac{ \small\boxed{\tt 8 \frac{1}{3}} }{x} = \frac{2 \frac{1}{3} }{\small\boxed{\tt 8.1}} \rightarrow 67.5.[/tex]

[tex]\textsf{Our product is 67.5, which means we are ready to divide 67.5 by 2} \tt \frac{1}{3} .[/tex]

[tex]\tt x = \frac{67.5}{2 \frac{1}{3} }[/tex]

[tex]\textsf{This quotient is going to be irrational, hence I will round to 7 digits.}[/tex]

[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]

Jose and his 3 friends equally shared $20 at Taco Bell last night.

Use the model below to determine x, the amount each child

spent at Taco Bell.

Answers

Answer:

  x = 5

Step-by-step explanation:

The model tells you ...

  4x = 20

  x = 20/4 = 5 . . . . . divide both sides by 4

Each child spent $5 at Taco Bell.

Find the value of x.

Answers

Step-by-step explanation:

[tex]90 + 90 + 52 + x = 360 \\ x = 360 - 90 - 90 - 52 \\ x = 128[/tex]

Find three consecutive integers whose sum is 0.

Answers

0, -3 ,+3

hope it helped u! ^^

Let n=first number. So this means that the second number is n+2 and the third is n+4. Since the sum of the three numbers is 0, this means that

n+n+2+n+4=0

The points (-12, 6) and (-4, r) lie on a line with slope - 1/2
Find the missing coordinate r.

Answers

Answer:

r = 2

Step-by-step explanation:

Slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

Substitute the known values for their respective variables and solve for the missing coordinate, r.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\ -\frac{1}{2}=\frac{6-r}{-12-(-4)}\\\\-\frac{1}{2}=\frac{6-r}{-8}\\\\ -8(-\frac{1}{2})=(\frac{6-r}{-8})-8\\\\ 4=6-r\\\\4-6=6-r-6\\\\-2=-r\\\\\frac{-2}{-1}=\frac{-r}{-1}\\\\ 2=r[/tex]

si el cartón de huevos es la unidad, y son 30 huevos, responde:
¿cuántos huevos hay en un medio cartón? ​

Answers

Answer:

quince

Step-by-step explanation:

si el cartón de huevos es la unidad, y son 30 huevos,

responde:

¿cuántos huevos hay en un medio cartón? ​

translation:

if the egg carton is the unit, and it is 30 eggs,

answer:

how many eggs are in a half carton?

30 divided by 2

30

-----   = 15

 2

Whyy, do vou think, banks and other financial institutions offer cash loans to people that did not apply for it?

Answers

Answer:

because there are in need of it

Step-by-step explanation:

yes

A robot painted 423 car parts in 9 minutes. What was the rate per minute at which the robot painted the parts?

Answers

Answer:

47 parts per minute

Step-by-step explanation:

423/9=47

Answer: 47. 423 divided by 9 is 47

Which of these is the algebraic expression for the verbal expression "twelve times the difference of a number and four?"

Answers

Answer:

12* y-4

Step-by-step explanation:

The first is twelve. then the asterisk is next. y is for the "number" Lastly, subtract 4.

How do I find the slope of the line?

Answers

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Step-by-step explanation:

yeah

Answer:

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

I don't know if you want an example?

Help please. I don't know how to do this.

Answers

Answer:

it is quite simple it's just that you need to substitute the input in place of x

eg:if the input is 2 then 2(3(2)+4) = 20 and 20 is the output

PLEASE HELP me out with this

Answers

The red pencil is 6 and the blue one is 3 so blue +blue(3+3)=6

Please Help!! My area can be represented by the expression x^2. What special polygon am I?
Show your work​

Answers

Answer:

it is a rhombus

Step-by-step explanation:

only because if you do the division and multiply the ploynomials the circumfrance is an easy 2 which can be added to 3 but subtract the 1 making it part of the photosynthesis and can lead to bigger things such as a RHOMBUS

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