❗❗CORRECT ANSWER+EXPLANATION=BRAINLIEST❗❗
Simplify: (question in the pic)​​

CORRECT ANSWER+EXPLANATION=BRAINLIESTSimplify: (question In The Pic)

Answers

Answer 1

The simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]

Functions and equation

Given the following function as shown:

[tex]f(x)=\frac{x^2-9}{x^2-3x}[/tex]

This can be factorized as:

[tex]f(x)=\frac{x^2-3^2}{x(x-3)}\\f(x)= \frac{(x+3)(x-3)}{x(x-3)} \\[/tex]

Cancel out the common terms:

[tex]f(x) = \frac{x+3}{x}[/tex]

Hence the simplified form of the function is [tex]f(x) = \frac{x+3}{x}[/tex]\

Learn more on functions here: https://brainly.com/question/10439235

Answer 2

Hi Phoenix! :)

I'm much late lol.

Answer:

[tex]\boxed{ \cfrac{x + 3}{x}} [/tex]

Step-by-step explanation:

Given:

[tex] \cfrac{x {}^{2} - 9}{x {}^{2} - 3x } [/tex]

Solution:

[Here the best option is to factorise the expression.]

Rewrite the numerator of the expression as

[tex] \cfrac{x {}^{2} - 3 {}^{2} }{x {}^{2} - 3x} [/tex]

It can be seen that the numerator is like an algebraic identity:

> a² - b² = (a+b)(a-b)

ATP, numerator : a = x² and b = 3²

[tex] \cfrac{(x + 3)(x - 3)}{ {x}^{2} - 3x} [/tex]

Now in the denominator take x common:

[tex] \cfrac{(x + 3)(x - 3)}{x(x - 3)} [/tex]

(x-3) in the denominator and (x-3) in the numerator gets canceled.

[tex] \cfrac{(x + 3) \cancel{(x - 3)}}{x \cancel{(x - 3)}} [/tex][tex] \boxed{\cfrac{x + 3}{x} }[/tex]

Welp,Done, that's it! :D


Related Questions

What is 3 x 320 x 5 x 10245?

Answers

The answer is 49176000

Answer:

49176000

I hope this helps.


What is the decimal multiplier to decrease by
15%?

Answers

Answer:

0.85

Step-by-step explanation:

Answer:

first calculate the percenatge of the ammount and then either add this answer on to increase the qauntity

no link no bot fast right please is it inch or inch 2

Answers

Answer:

its just inch

Step-by-step explanation:

you would multiply the 3 and the other three and you would get 9

Juan has x quarters and y dimes, having a minimum of 16 coins worth at most $3 combined. No less than 4 of the coins are quarters. Solve this system
of inequalities graphically and determine one possible solution.

Answers

Answer:

See below

Step-by-step explanation:

Quarter - 25¢, dime - 10¢, total - $3 = 300¢

Inequalities:

x + y ≥ 1625x + 10y ≤ 300x ≥ 4

See attached for graphical solution. There are many solutions.

Possible one solution:

5 quarters and 17 dimes

The graph of y=⅔ x - 12 intersects the y-axis at Q (0, -12) and is perpendicular to a line joining Q to the point P ( x , 0). Find x

Answers

They will go over point 3,0 and /4,9 then

WILL GIVE BRAINLIEST
(4x - 5) m
(7x - 17)m
(2x + 3) m
The perimeter of this triangle is
m.

Answers

Answer:

The perimeter of triangle is 33 meters.

Step-by-step explanation:

Given that the triangle is Equivalent Triangle where all angles and sides are equal, so we can assume that:

7x - 17 = 4x - 5

7x - 4x = 17 - 5

3x = 12

x = 12 ÷ 3

x = 4

OR:

4x - 5 = 2x + 3

4x - 2x = 3 + 5

2x = 8

x = 8 ÷ 2

x = 4

Substitute x = 4 into all expressions:

7x - 17 = 7(4) - 17 = 11 meters

4x - 5 = 4(4) - 5 = 11 meters

2x + 3 = 2(4) + 3 = 11 meters

In order to find out the perimeters, you have to add up all the sides:

P = 11 + 11 + 11

P = 33 meters

Answer:

p = 33 m

Step-by-step explanation:

Since this is an equalateral triangle all the sides are equal

-----------------------------

set any two sides equal

7x - 17 = 2x + 3

subtract 2x from both sides

5x - 17 = 3

add 17 to both sides

5x = 20

Divide both sides by 5

x = 4

------------------------------

Find the length of any side

s = 2x + 3

s = 2(4) + 3

s = 11

-----------------------

the perimiter is the three times any side

p = 3s

p = 3 * 11

p = 33 m

Write a function in any form that would match the graph shown below

Answers

9514 1404 393

Answer:

  f(x) = 2(x +2)^2(x -5)

Step-by-step explanation:

The root at x=-2 has even multiplicity. The curve is not flat there, so the multiplicity is 2, not higher. The root at x=5 has multiplicity 1. Then the factored form of this cubic is ...

  f(x) = a(x +2)^2·(x -5)

The local minimum when a=1 is about -50, so we judge the leading coefficient to be 2. The desired function is ...

  f(x) = 2(x +2)^2(x -5)

WILL MARK AS BRAINLIEST IF CORRECT

Answers

Answer:

A) 1/12

Step-by-step explanation:

for every 1 that x increase f(x) increases 12

Answer:

1

Step-by-step explanation:

A bag contains 8 red balls and 4 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is white, given that the first ball is red

Answers

Answer:

total marbles;12

after drawing red total counts are 7 red and 4 white       11 in total

probabilities are 4/11

The numbers and letters on a license plate are determined by the state that issues the license
plate. Suppose a state had a system that used 5 letters and 2 digits for a total of 7 characters on
a license plate. How many different license plates can this system produce?

297, 034, 400
594, 068, 800
1, 188, 137, 600
O 2, 376, 275, 200

Answers

2, 376, 275, 200 if do the right calculations then you will get the full answer of 2,376,275,200

14. Find three consecutive odd integers such that the product of the first and the third is 13 less
than ten times the second integer.

Answers

Answer:

1 ale 2 no se 3 saca de tu mente 4

Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. O b) 160 milliliters. c) 480 milliliters. O d) 960 milliliters.

Answers

Answer:

1 oz = 29.574 ml

16 oz = About 480 ml, so, yes, the answer is C.

Step-by-step explanation:

The box-and-whisker plot below represents the ages of 12 people.
What percent of these people are age 15 or older?
5
+ + + + + +
10 15 20 25 30 35 40 45 50 55
25
B 35
© 75
0 85

Answers

The box and whiskers plot visually presents the ages of the 12

The percentage of the 12 people older than 15 is 75%

Reasons:

The five number summary from the box and whiskers plot is presented as follows;

Minimum value = 7.5

Maximum value = 50

Lower quartile, Q₁ = 15

Upper quartile, Q₃ = 40

Median, Q₂ = 32.5

The first quartile is equivalent to the 25th percentile

Therefore, given that the age 15 is equivalent to the first quartile = 25th percentile, the percentage of the 12 people that are older than 15 are;

Percent older than 15 = 100% - 25% = 75%

The correct option is 75%

Learn more about box and whiskers plot here:

https://brainly.com/question/4449394

Hi guys im stuck on this maths question

(2/5)^-3

Answers

Answer:

15.625

Step-by-step explanation:

Answer:

[tex] (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{a}{b} ) {}^{ - x} = (\frac{b}{a} ) {}^{x} \\ so \: \: \: \: \: \: (\frac{2}{5} ) {}^{ - 3} \\ = (\frac{5}{2} ) {}^{3} \\ = \frac{5 {}^{3} }{2 {}^{3} } \\ \: = \: \frac{125}{8} [/tex]

Can someone help? anyone?

Answers

Answer:

The right answer is letter C.

Step-by-step explanation:

I hope it's help

have a nice day and night

One non-negative number is the reciprocal of another number. The sum of the two numbers is a minimum. What are the two numbers

Answers

The two numbers are 1 and 1.

Let the non-negative number be x and its reciprocal be y = 1/x

The sum of the two numbers is f(x,y) = x + y

= x + 1/x

= f(x)

For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.

So, df(x)/dx = d(x + 1/x)/dx

= dx/dx + d(1/x)/dx

= 1 - 1/x²

Equating it to zero, we have

1 - 1/x² = 0

1 = 1/x²

x² = 1

Taking square-root of both sides, we have

x = ±√1

x = ±1

Since x is non-negative x = + 1

We differentiate f(x) again to determine if this value gives a minimum for f(x).

So, d²f(x)/dx² = d(1 - 1/x²)/dx

= d1/dx - d(1/x²)/dx

= 0 - × (-2/x³)

= 2/x³

Substituting x = 1 into the equation,

d²f(x)/dx² = 2/x³

= 2/1³

= 2 > 0.

So x = 1 is a minimum point for f(x)

Since x = 1 and y = 1/x, y = 1/1 = 1

So, the two numbers are 1 and 1.

Learn more about sum of two numbers here:

https://brainly.com/question/13854139

answer this question fast

Answers

Answer:

0.09

Step-by-step explanation:

How do you solve linear equations using the distributive property?

Answers

Answer: Solving two-step linear equations using distributive property: a (x+b)=c;aleft ( {x + b} ight) = ca (x+b)=c Solving linear equations using multiplication and division Solving two-step linear equations: ax+b=cax + b = cax+b=c, xa+b=c {x over a} + b = cax​+b=c

Step-by-step explanation:

Answer:

solving equations using distributive property. We'll guide you through two ways that the following question can be solved.

Question: 11.32 = 8(0.61 + x)

Solution 1:

11.32 = 8(0.61+x)

Divide both side by 8, you get 1.415 = 0.61 +x

Minus both side by 0.61, 0.805 = x

In this solution, we first try to move all the non-x terms over to one side. The first step of dividing both sides by 8 helps us move the 8 from the right side to the left side. This allows us to get rid of the parentheses too as the terms no longer have to be multiplied out (there's nothing to multiply them with). Then, in order to move 0.61 to the left side, we'll minus it from both sides. In the end, we'll get that x ultimately equals 0.805.

Solution 2:

11.32 = 8(0.61+x)

Open up the right side, you get 11.32 = 4.88+8x

Minus both side by 4.88, you get 6.44 = 8x

Divide both side by 8, you get 0.805 = x

In solution 2, we're truly using the distributive property. We're going to distribute 8 into the terms in the parentheses, which are "+0.61" and "+x". This gives us 4.88 + 8x on the right side of the equation. Then we can move over 4.88 to the left side with the rest of the non-x terms by minusing it from both sides. Lastly, divide both sides by 8 to move the 8 over to the left side and you'll find that x = 0.805. Both methods will bring you to the same correct answer.

Through how many radians does the minute hand of a clock turn in three hours?

3 pi
9 pi
6 pi

Answers

the answer should be 6pi

6. Simplify: -7(3x) + 2(3x – 2). What is the value of the expression if x = 4​

Answers

Answer:

its x

Step-by-step explanation:sus?

POSSIBLE POINTS: 33.33
homeowner collects data about the amount of oil A, in gallons, used to heat the house per month for 5 months and the
verage monthly temperature t, in degrees Fahrenheit, for those months. The scatter plot shows the data. The function
(t) = -1.4t + 96 best fits these data.

Answers

3 Answers: Choice AChoice CChoice E

=============================================================

Explanation:

Check out the diagram below. I've plotted the regression line A(t) = -1.4t+96 on the same xy grid as the given scatterplot. This line tries to get as close as possible to all of the points.

From here, we plug in each of the temperatures mentioned in the five answer choices (10, 15, 68.5, 55, 0). The outputs form the second column of the table in that same diagram.

For example, if we plugged in t = 10, then,

A(t) = -1.4t+96

A(10) = -1.4(10)+96

A(10) = -14 + 96

A(10) = 82

Telling us that a temperature of 10 degrees F would have a predicted or estimated usage of roughly 82 gallons of oil. This points to choice A being one of the answers.

The other temperature values are handled the same way. Choice B is false because t = 15 does not lead to A(t) = 85. Instead, it's A(15) = 75 meaning it's 10 degrees off the mark.

Choice C is true though. Plugging t = 68.5 into A(t) leads to A(t) = 0.1 which rounds to 0 assuming we're only worried about whole numbers. If your teacher is considering decimal values, then choice C is unfortunately false. For now I'll assume your teacher wants you to round.

If we tried t = 55, then we'd get A(15) = -1.4*55+96 = 19 which is not 5 as we'd want. This rules out choice D.

Lastly, plug in t = 0 to find that A(t) = 96. This leads to choice E being one of the answers.

For the graph attached statements A, C and E are true.

     Function that fits the given data in the graph,

A(t) = -1.4t + 96

Here, t = temperature in Fahrenheit

A(t) = Oil used in gallons

By substituting the value of 't' in the equation we can get the amount of oil used A(t) to heat the house.

Option A

By substituting t = 10°F,

A(10) = -1.4(10) + 96

        = 82 gallons

Therefore, statement is true.

Option B

For t = 15°F,

A(15) = -2.4(15) + 96

        = 60 gallons

Statement is False.

Option C

For t = 68.5°F

A(5) = -1.4(68.5) + 96

       = 0.1 gallons

       ≈ 0 gallons

Statement is True.

Option D

For t = 55°F,

A(55) = -1.4(55) + 96

         = 19 gallons

Statement is False.

Option E

For t = 0°F

A(0)  = -1.4(0) + 96

        = 96 gallons

Statement is true.

     Therefore, statements given in options A, C and E are True.

Learn more,

https://brainly.com/question/4134793

(?)(3x — 2)= 24x^2 — 16x

Answers

[tex]\boxed{?}(3x-2)=24x^2-16x\implies \boxed{?}=\cfrac{24x^2-16x}{3x-2}\\\\\\\boxed{?}=\cfrac{\stackrel{\textit{common factoring}}{8x~~\begin{matrix} (3x-2) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 3x-2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{?}=8x[/tex]

CAN SOMEONE PLEASE HELP ME FIND THE AREA OF THIS SHAPE AND SHOW WORK 20 POINTS!!!

Answers

Answer:

10 units

Step-by-step explanation:

Area of smaller ∆ ,

= 1/2 * 2 * 2 = 2 u

Area of larger ∆ ,

= 1/2 * 4 * 4 = 8u

Total area = 8u + 2u = 10 units

find the velue of y? y²=169​

Answers

Answer:

-13 or 13

Step-by-step explanation:

Since we are looking for the square root of 169, we realize that 13 multiplied by itself equals 169. Negative 13 does the same, so it is the answer.

Ashley received a $24 discount on a radio she bought for $98.00. What is the percent of discount she saved?

Answers

Answer:

24.49

Step-by-step explanation:

Answer:

24.489%, but most of the time they only go to 2 decimal places so 24.49%

Step-by-step explanation:

If the amount of fruit increases by 40%, what percent of the original amount do you have?

Answers

Answer:

First, subtract to find the amount of change: 225 - 25 = 200. The increase is 25. Next, divide the amount of change by the original amount:.

Step-by-step explanation:

What is 2x-3 when x=6

Answers

Answer:

0

Step-by-step explanation:

If you are conducting an experiment where the probability of a success is 0.06 and you are interested in the probability of two successes in 15 trials, the correct probability function to use is the _____.

Answers

In the question, the probability of getting the given number of success

from a specified number of trials is required.

The correct probability function to use is the binomial probability function.

Reasons:

The given parameters are;

The probability of success = 0.06

The number of trials = 15 trials

The probability of interest = The probability of two successes in 15 trials

Solution;

The required probability is given by the following binomial probability

distribution formula;

[tex]P(x) = \dbinom{n}{x}\cdot p^x \cdot q^x = \mathbf{\dfrac{n!}{(n - x)! \cdot x!} \cdot p^x \cdot q^x}[/tex]

Where:

n = Number of trials

x = Number of required success

p = Probability of a success

q = Probability of one failure = 1 - p

For the question, we get;

[tex]P(x) = \dfrac{15!}{(15 - 2)! \times 2!} \times 0.06^2 \times (1 - 0.06)^{15 - 2} \approx \mathbf{0.169}[/tex]

Therefore, the correct option is, a binomial probability function

Learn more here:

https://brainly.com/question/15902935

The question options are;

Binomial probability function

Normal probability density function

Standard normal probability density function

Poisson probability function

helppppppp pleaseeee again im sorry but i dont know any of itttttt.

Answers

Step-by-step explanation:

sqrt(5x)×(sqrt(8x²) - 2×sqrt(x)) =

sqrt(5x × 8x²) - 2×sqrt(5x × x) =

sqrt(40x) × x - 2x × sqrt(5) =

2x×sqrt(10x) - 2x×sqrt(5)

therefore, the last option is correct.

Solve

-x + 4 = x + 6

Answers

Answer:

-1

Step-by-step explanation:

1. subtract 4 from both sides

-x = x+2

2. subtract x from both sides

-2x = 2

3. divide both sides by 2

simplify

x= -1

Hope this helps :)

Other Questions
You have a recipe that indicates to use 6 parts of sugar for every 5 parts of flour. You use 24 cups of sugar. How much flour do you need? Choose the weaknesses of the Articles of Confederation.The national government could not levy or collect taxes.There was no national court system.The national government could levy taxes and collect taxes.The national government could not force the states to obey its laws.The national government could not raise an army.States could place tariffs on goods entering the states from other states or foreign countries.The national government had no power to enforce any of its laws.The nation could issue paper money, but so could the individual states.There was no executive leadership, because there was no executive branch. what is the solution set of the equation set 3|5-x|+2=29 ? Hurry please Answer ASAP Match each definition with its principle by choosing the right principle from each drop-down menu.separation of powers Power is divided between the national government and state governments,Government gets its power from the people, generally through their electedchecks and balancesrepresentatives.federalismPower is divided among three branches is government.limited governmentpopular sovereignty No branch of government has more power than any other.separation of powersA government can only do what its people give it authority to do.DONEIntro2 of 7 if you have 3 moles of iron, how many grams of iron do you have? A Ferris wheel can accommodate 70 people in 15 minutes how many people can ride in 3 hours Which of the following does not show an example of keeping yourself and others safe while driving? A.-Avoiding travel after midnight B.-Serving as a designated driver C.-Using rural roads when possible D.-Wearing your seatbelt IS CELL REPLICATION THE SAME THING AS DNA REPLICATION OR ARE THEY TWO SEPERATE THINGS please help asap asap asap pls help, no false answer or link Pliss help...Di bawah ini manakah yang termasuk organ-organ sistem peredaran darah pada manusia adalah...a. jantung - ginjal - paru-parub. jantung-pembuluh darah - darahc. jantung - ginjal - hatid. jantung - paru-paru no links answer now In the story "Ivan the Fool," why does the czar keep coming up with more tests for his sons wives?A: because he fears that Ivan is really a foolB: because he wants his oldest son to be czarC: because he doesnt like the youngest sonD: because he is terrified of frogs Consider the Sy2 reaction between 1-bromo-2-methylpropane and methoxide. Add curved arrows to the starting materials toindicate the flow of electrons. Draw the product species to show the balanced equation, including nonbonding electrons andformal charges.H2..Br:-CH3productn Shot07.42 PIH+CH3n Shot.07.13 P1Draw curved arrows.Draw the products. The bromide ion has been drawnfor you.DrawSelectRingsMoreEraseQuestion"SelectDrawRingsMoreEraseh Shot10.36 PI///BrOBron Shot-2 When did the The British arrive in Trinidad. According to the critical analysis, why do the animals of Manor Farm revolt? Asser and his partner Ali decided to start a business selling flowers called A and A Blooms. They agreed the businessobjectives they would set. There are several other shops in the town and much competition. Asser and Ali had littlecash to start the shop, BUT after 5 years running, it is still open. Business objectives have changed, there are plans toopen 2 or 3 new shops, perhaps by taking over some of their competitors. The business now employs 5 workers anduses several local flower growers as suppliers.a) What is meant by 'business objective'?[2]GoalsDirection in which business be succesfulb) Identify two of A and A Blooms' stakeholders, other than workers and suppliers.[2]Customers and Communityc) Identify and explain two likely business objectives of Blooms when the business was first established. [4] 10) Consider two lines. Line A is given by the function f(x) = 4x 9, while Line B contains the points (0, 5) and (2, 12). Which statement is true? A) Line A and Line B have the same slope. B) Line A has a greater slope than Line B. C) Line B has a greater slope than Line A. D) Line A slope is less than the slope of Line B. What layer has restricted molecules which makes this layer very rigid? The slope of the line formed between point A and point C on the graph is 2/3What is the slope of the line formed between point C and point E?