(x-5) divided by (x^2+3x-40)

Answers

Answer 1

Answer:

1/ x +8

*The 1 over x + 8

Answer 2

Answer:

[tex]\frac{1}{x+8}[/tex]

Step-by-step explanation:

Here is your original equation:

[tex]\frac{x-5}{x^{2} +3x-40}[/tex]

What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):

[tex]x^{2} +3x-40[/tex]

Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.

Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)

We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.

[tex]x^{2} +3x-40 = (x+)(x-)[/tex]

Next, let's look at the factors of 40:

1 and 40   2 and 20   4 and 10   5 and 8

Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!

[tex]8-5=3[/tex]

In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].

[tex]x^{2} +3x-40 = (x+8)(x-5)[/tex]

Now let's go back to our original equation and substitute our old expression with the new one:

[tex]\frac{x-5}{(x+8)(x-5)}[/tex]

Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].

[tex]\frac{x-5}{(x+8)(x-5)}[/tex] = [tex]\frac{1}{x+8}[/tex]

Therefore, your simplified answer is  [tex]\frac{1}{x+8}[/tex] !

Here's the whole process:

[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]

To check your answer, confirm your expressions using the box method attached.

I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!

(x-5) Divided By (x^2+3x-40)

Related Questions

5 to the 2 power
help

Answers

Answer:

25

Step-by-step explanation:

5²=25

Answer:

25

Step-by-step explanation:

it is like 5 times 5

Find two consecutive integers whose sum is 73. Which of the following equations could be used to solve the problem?
A. 2x = 73
B. 2 x + 2 = 73
C. x^2 + 1= 73
D. 2x + 1 = 73

Answers

I think it’s A..........

PLEASEEEE HELPPPPPP WIll add extra pointtss

Answers

Answer is x = 4
Explanation :-

As B is midpoint of SR :- SB = BR and if. SR = 6x then SB = 3x
AC parallel SR ( MID POINT THEOREM )
Hence AC parallel SB
Similarly , AB parallel CS (MID POINT THEOREM)
So ABCS is a parallelogram
And we know that in parallelogram opposite sides are equal so AC = SB
So now we have AC = 5x - 8 and SB = 3x
So, 5x - 8 = 3x
5x - 3x = 8
2x = 8
x = 4

I participated in a math competition but I did not do very good. Does anybody have some tips?

Answers

Study 5 times on the subject you are focusing on.

Sahil has a fish tank in the shape of a cuboid, as shown in the diagram

Answers

Answer:

12

bcz he can't put a 0.725 fish so it will be rounded up back to 12

The greatest number of neon tetra fish he puts in the tank is 12.

What is cuboid?

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

Sahil has a fish tank in the shape of a cuboid, as shown in the diagram.

The tank is 55 cm wide, 28 cm long and height is 33 cm.

And the surface of the water in the tank is 3 cm below the top of the tank.

That means,

to determine the volume,

So, the volume of cuboid

= 55 x 28 x 33

= 50820 cubic centimeters.

And we know 1000 cubic centimeters is 1 liter of water.

So, 50820 = 50.820

And divide by 4

We get the greatest number of neon tetra fish he puts in the tank.

50.820 / 4

= 12.705

≈ 12

Therefore, 12 is the required number for neon tetra fish.

To learn more about the cuboid;

https://brainly.com/question/29568631

#SPJ2

HELP PLEASEEEEEEE ASP!!
WILL GIVE BRAINLIEST ❤️

Find the slope of the line passing through the given
points using the slope formula. Describe the slope as
positive, negative, zero, or undefined.
(-7, -18) and (-7,-4)

Answers

Answer:

Step-by-step explanation:

Slope formula= rise over run, or y2-y1 over x2-x1

y2=-4 y1=-18 x2=-7 x1=-7

-4-(-18)/-7-(7)

-22/-14 negative

Answer:

7/11

Step-by-step explanation:

the slope is positive. tell me what happens

Please help me I will really appreciate it!!!

Answers

The answer is D

U would subtract a^2 then square both sides to isolate the variable

For which equations is the solution for x the same number?
i. 15 - X = -3
ii. x/2 + 6 = 15
iii. -1/3x - 5.7 = 0.3
O A. i and ii
O B. i and iii
O C. ii and iii
O D. i, ii and iii
O E. none of the questions

Answers

Answer:

A. i and ii

Step-by-step explanation:

i) 15 - x = -3

x=18

ii) x/2 + 6 = 15

x/2 = 9

x= 18

iii) -1/3x -5.7 = 0.3

-1/3x = 6

x = -18

HURRY PLEASE HELP ME!!!This graph shows a bicyclist moving at a constant rate. Write and equation for bicycle rider A.

Answers

Answer:

y= 30x

tep-by-step explanation:

The answer is y=30x hope this helps


Last month, Juan ate 6 apples, 7 bananas, 4 peaches, and
5 oranges. Write the ratio of Peaches to the total number
of pieces of fruit Juan ate last month as a fraction in
simplest form.

Answers

Answer:

4/18

Step-by-step explanation:

A cyclist travels 10 km from home to the park.
She leaves home at 12:20 and arrives at the park at 12:50.
What is her average speed in km/h?

Answers

Answer:

20 km/h

Step-by-step explanation:

the total time is 0.5 hours as the cyclist travels for 30 minutes

the formula for speed is distance travelled divided by time taken which gives us 20 km/hr

20 – 3n > 7n show work

Answers

Answer:

n>5

Step-by-step explanation:

move the 20 onto the other side of the > by subtracting 20 on the left side and adding 20 on the right side

now you have

-3n>7n-20

move the 7n onto the other side the same way. subtract 7n from one side and add it to -3n. now you have

4n>20

this is called adding similar terms or inverse operations what ever you wanna call it. Now you divide N by 4. This is because 4n can be simplified to 4×N and the opposite of multiplication is division. you do the same on the other side.

n/4>20/4.

you are left with n>5

Answer:

n<2

Step-by-step explanation:

Subtract 20 from both sides 20-3n-20>7n-20

Simplify -3n>7n-20

Subtract 7n from both sides -3n-7n>7n-20-7n

Simplify again -10n>-20

multiply both sides by -1 (-10n)(-1) < (-20)(-1)

Simplify 10n<20

Divide both sides by 10 Then you get your answer

Which of the following equations is written in factored form?
O y= 2x² + 3x – 8
o y= 3 (2 + 5) (2 – 2)
o y=-2(1 + 5)2 – 2
O y = 3.2 - 5
Need help please!!

Answers

Answer:

Option B is correct option.

Step-by-step explanation:

We need to identify equations written in factored form.

Factored form: A factored form of expression is an expression broken down into a product of its factors.

In the given options A, C and D we don't have product of factors.

Only option B consists of product of factors.

So, Option B is correct option.

HELPPPPPPP ASAPPPPPP PLEASEEEE

Answers

I believe the answer is 70. Just ask if you want an explanation

70

f(-4)=5(2-3(-4)

f(-4)=10+60

f(-4)=70

What is the Zero of f ?

Answers

Answer:

(-1, 0)

Step-by-step explanation:

Charles shooting basketballs during recess he made 30 baskets and miss 10 for a total of 40 shots at this rate how many baskets would he miss if he shot a total of eight times?
Please help

Answers

Answer:he would miss three times

Step-by-step explanation:because he missed once every 3 times so which would equal 2.5 which i will round up to 3 to get my answer.

The diagram below represents which percent?

An area model with 32 shaded sections and 68 unshaded sections.
3.2%
8%
32%
42%

Answers

Answer:

32 percent

Step-by-step explanation:

32 plus 68 =100

32 divided by 100 equals .32 or 32 percent

Answer:

Your answer is C, 32%

Step-by-step explanation:

It is 32% because if there is 32 shaded and 68 unshaded you would count the ones that are shaded which would be 32%.

PLEASE ANSWER QUICKLY
Find the value of f(-142) for the function below.

f(x) = -0.2(x + 223)

A.
251.4
B.
-186.6
C.
81
D.
-16.2

Answers

it’s D , -16.2
you replace X with -142 and get -0.2 (142 + 223)

Which answer choice shows 12.444 rounded to the nearest half?
A. 11
B. 11.5
C. 12
D. 12.5

Answers

Answer:

C. 12

Step-by-step explanation:

Remember 0 to 4 turn it back

5 or above give it a shove.

Since 12.444 is around 0 to 4.

We can round that to 12.

Answer:

C.12

Step-by-step explanation:

Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.

18- 8x = 8 + 3(1 - 3x)
Work shown please!

Answers

Answer

7 = -x

Step-by-step explanation:

18- 8x = 8 + 3(1 - 3x)

18- 8x = 8 +3-9x

18- 8x = 11 - 9x

7- 8x = -9x

7 = -x

Answer:

x=-7

Step-by-step explanation:

step by step in picture.

HELP PLEASE
in order!!!

Answers

Answer:

m<6=54 m<4=126

Step-by-step explanation:

Hi... can you tell me is this formula is right or wrong?? ​

Answers

Answer:

this formula is right

What is the inverse of the function f(x) = 2x - 10?

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\to y=2x-10\\\\\text{exchange x to y and vice versa}\\\\x=2y-10\\\\\text{solve for}\ y\\\\2y-10=x\qquad|\text{add 10 to both sides}\\\\2y-10+10=x+10\\\\2y=x+10\qquad|\text{divide both sides by 2}\\\\\dfrac{2y}{2}=\dfrac{x}{2}+\dfrac{10}{2}\\\\y=\dfrac{1}{2}x+5[/tex]

Can someone plz help really quickly!? Thank you! Marking brainlyest to to the first and correct answer!! Worth a lot of points to!!

Answers

Answer:

I believe its A. 7/16 inches per hour

Step-by-step explanation:

This is wrong don't put this

5) y=-2
4x – 3y = 18
This

Answers

Answer:

x=3

Step-by-step explanation:

if y is -2, 3*-2 =-6, 4x-(-6) = 4x+6=18

18-6=12

12/4=3

x=3 I hope you learned something

Graph the linear equation x=4.

Answers

Here is your answer ⬇️

A linear equation has only more than one additional, that may be expressed as [tex]\bold{ax + by = c}[/tex], and the further discussion can be defined as follows:

In this, No factor has been raised the power which is greater than one or utilized as the denominator of a fraction.  When we discover pairs of values that satisfy a linear model and plot them on a coordinate grid, all the points fall on the same line.

Please find the attached file of the graph.

Learn more:

brainly.com/question/576841

What is the equation of this graphed line?

Enter your answer in slope-intercept form in the box.

Answers

Answer:

Step-by-step explanation:

y=1/2-5x

Answer:

y = -1/3x - 5

Step-by-step explanation:

Using points on the graph to get the equation

Slope intercept form:

y = mx + b

From the graph, point (0, -5) we can see y-intercept is b = -5

An calculating the slope using two points (-6, -3) and (6, -7):

m = (-7 - (-3)) / (6 - (-6)) = -4 / 12 = -1/3

So the line is:

y = -1/3x - 5

qual é 33⅓% de 108?​

Answers

0.333 x 108 = 35.96
= 36 (esta é a resposta final, eu não sei se você realmente precisa dela)

A local hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday. There were 59 fewer cheeseburgers sold than hamburgers

On tuesday how much did they sell

Answers

Answer:

On Tuesday

591 burgers are sold.

Some are hamburgers and some are cheeseburgers.

59 fewer cheeseburgers sold than hamburgers.

Number of cheeseburgers --> x

Number of hamburgers --> y

x+y= 591 --> x = 591-y

x = y-59

so

591-y = y-59

-2y = -650

y = 325

so

x = 325-59

x =266

The hamburger shop sold a combined total of 591 hamburgers and cheeseburgers on Tuesday.

Let's represent the number of hamburgers sold as "H" and the number of cheeseburgers sold as "C." From the information given, we have two equations:

1. H + C = 591 (The combined total of hamburgers and cheeseburgers sold on Tuesday was 591).

2. C = H - 59 (There were 59 fewer cheeseburgers sold than hamburgers).

Now, we can use substitution to solve for the number of hamburgers: Substitute the value of C from the second equation into the first equation:

H + (H - 59) = 591

Now, combine like terms:

2H - 59 = 591

Next, isolate the term with H:

2H = 591 + 59

2H = 650

Now, solve for H:

H = 650 / 2

H = 325

So, they sold 325 hamburgers on Tuesday. To find the number of cheeseburgers sold, use the second equation:

C = H - 59

C = 325 - 59

C = 266

They sold 266 cheeseburgers on Tuesday. To find the total sales, add the number of hamburgers and cheeseburgers: Total sales = 325 (hamburgers) + 266 (cheeseburgers) = 591.

To know more about combined total:

https://brainly.com/question/31657570

#SPJ2

I WILL GIVE YOU BRAINLIEST!!!!!!
Which of the following is equivalent to –(–5.25)?


–5

5

5.25

–5.25

Answers

Step-by-step explanation:

The decimal number 5.25 is equal to the fraction 21/4.

Other Questions
Help please!!Use ser or EatarThank you! what is the samemarites of command economy at Free-market Find the slope of the line. Mr. Ghani wants to deposit his savings of Rs. 50,000 in a bank which offers 8% interest compounded semi-annually to withdraw Rs. 2,500 at the end of each six months from the date of deposit. How many withdrawals will he or his heir (in case of his death) be able to make before the entire amount is exhausted You are a chief speaker in a debate on the topic Religious studies should be Made Compulsory in Secondary Schools. Write your argument for or against the motion. Which is the right answer? Please help me with this problem its due today! What is the slope of the line that passes through these two points (0, -2) and (3, -4)? Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game? y-22=10x y=22x-10 y=22x+10 22x+y=10 A Strike Out is when the batter attempts to hit the ball and misses three times. A. True B. False Kendall bought a vase that was priced at $450. in addition, she had to pay 3% sales tax. How much did she pay for the vase? Fill in the blank in the following dialogue with the appropriate word below.- Qui vient au cinma avec moi?ne va au cinma avec toi! On prfre regarder la tl!A. RienB. PersonneC. JamaisD. Quelqu'un Today only every sweatshirt is $5.75 less than normal price. Right now if you buy 5 sweatshirts. The total cost will be $78.75. What is the normal price of the sweatshirt? POSSIBLE POINTSA part of the circulatory system allows the exchange of water, oxygen, nutrients, and waste between the blood and surroundingtissues. Which part of the circulatory system is described. ? here it is love please be quick:) thx again!! Todays teens dont only interact in person. How do you think peer influence through social media and texting might impact teens decision making, and what positive and negative consequences could result? Consider what you have learned about how the presence of teens can impact risky behavior. EMILIANO: Mia, Sabes en dnde puedo ir para comprar ropa?MA: S. Conozco muchas tiendas buenas que te puedo recomendar.EMILIANO: _[blank]_ ir un da?MA: Qu tal el sbado?Qu palabra completa la pregunta correctamente en el futuro? PuedoPuedo , ,PodrnPodrn , ,PodrPodr , ,Podremos Distinguish among the shades of meaning of the following words: uncomplicated, simplistic, comprehensible, simplified. difference between acids and bases in terms of ions In reading paragraphs or passages, how does it affect you when topics seem to shift randomly? What do you do when experiencing this?