Simplify as far as possible. Please include the working in your answer, step by step.
\( \frac{9 {x}^{2} - 4 }{15 {x}^{2} - 13x + 2} \)

Answers

Answer 1
SIMPLIFY THE EQUATION

\( \mathfrak{ \huge{SOLUTION}}\)

\( \rm \implies \dfrac{9x - 4}{15 {x}^{2} - 13x + 2} \)

\( \rm \implies = \dfrac{(3x {)}^{2} - {2}^{2} }{ {15x}^{2} 10 - 3x + 2} \)

\( \rm{ \implies \dfrac{(3x + 2)(3x - 2)}{(5x - 1)(3x - 2)} }\)

\(\boxed{ \rm{ \dfrac{3 x + 2}{5x - 1} }}\)

\( \mathfrak{ \huge{ANSWER:}}\)

\(\qquad \bm{ \dfrac{3 x + 2}{5x - 1} } \qquad\)

\( \\ \)

\( \quad \tt{ \green{~Brainly-Philippines}} \quad\)

\(\downarrow\)


Related Questions

Vẽ đồ thị hàm số y=/cos-1/. Toán 11

Answers

Huelo if fesc6747558gfzjoh

A small business owner is applying for a small business loan and has been approved for a $50,000 loan with 5.25% annual interest. The first loan is a simple interest rate, the
second loan compounds interest quarterly, and the third loan compounds interest continuously. The small business owner plans to pay off the loan in 3 years and 8 months.

Part A: Determine the total value of the loan with the simple interest. Show all work and round your answer to the nearest hundredth.

Part B: Determine the total value of the loan with the guarterly compounded interest. Show all work and round your answer to the nearest hundredth.

Part C: Determine the total value of the loan with the continuously compounded interest. Show all work and round your answer to the nearest hundredth.

Part D: Using the values from Parts A, B, and C, explain which loan option is the best choice for the small business owner.

Answers

The best choice for the small business owner would be the loan with continuously compounded interest, as it results in the lowest overall cost.

Part A: To determine the total value of the loan with simple interest, we need to calculate the interest accrued over the loan term and add it to the principal.Interest = Principal * Interest Rate * Time

= $50,000 * 0.0525 * (3 + 8/12) years

= $50,000 * 0.0525 * 3.67

= $9,573.75

Total Value of the Loan = Principal + Interest

= $50,000 + $9,573.75

= $59,573.75

Part B: For quarterly compounded interest, we use the formula A = P(1 + r/n)^(n*t), where A is the final amount, P is the principal, r is the interest rate, n is the number of compounding periods per year, and t is the time in years.

A = $50,000(1 + 0.0525/4)^(4 * 3.67)

= $50,000(1.013125)^14.68

= $50,000 * 1.2071

= $60,355.00

Part C: For continuously compounded interest, we use the formula A = P * e^(r*t), where A is the final amount, P is the principal, r is the interest rate, e is the mathematical constant approximately equal to 2.71828, and t is the time in years.

A = $50,000 * e^(0.0525 * 3.67)

= $50,000 * e^(0.1922175)

= $50,000 * 1.2113

= $60,565.00

Part D: Comparing the total values of the loans, we can see that the loan with continuously compounded interest has the highest total value ($60,565.00), followed by the loan with quarterly compounded interest ($60,355.00), and the loan with simple interest ($59,573.75).

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Economic growth typically results in rising standards of living and prosperity. However, it also invites negative externalities such as environmental degradation due to over- exploiting of natural resources. As such, the world is confronted with the dilemma of growth versus environmental sustainability. Developing a model explaining the disparity of economic development concentrating on drivers such as tourism sustainability, technological innovation and the quality of leadership would be important not only to facilitate future economic growth in developing countries, but also to the environmental and sociocultural sustainability which ultimately lead to global sustainable development. The present research objective is to develop and test framework of sustainable development by considering the elements of tourism, technological innovation, and national leadership. This further would facilitate growth, environmental and socio-cultural sustainability. Understanding the integration of these dimensions would enable the building of a Sustainable Development Framework (SDF) that would provide better insight in promoting the SDGS agenda. Ultimately, growth and environmental sustainability can be achieved which will benefit the society, the economy, and nations and of course for future sustainable policy recommendation. Based on the issue above, you are required to propose relevant econometric approaches with the aims to test sustainable development by considering the elements of tourism, technological innovation, and national leadership. Question 1 [10 marks] [CLO2] Based on the scenario above, a. Propose an appropriate model specification based on the scenario above. [4 marks] used in the [4 marks] [2 marks] b. Justify the selection of the dependent and independent variables model. c. Justify the selection of the sample period.

Answers

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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50 points :) I will mark brainliest pic is attached below . No wrong answers please

50 points :) I will mark brainliest pic is attached below . No wrong answers please

Answers

Answer:

x= 23 y=88

Step-by-step explanation:

3x+23= 4x

x=23

x and y are supplementary angles so they add up to 180 so then if x is 23

23 x 4= 92

so 180-92 is 88

therefore y is 88 and x is 23

Here!Hope this helps!
Have a great night
50 points :) I will mark brainliest pic is attached below . No wrong answers please

Given the function (Image below) [Algebra ll]

Given the function (Image below) [Algebra ll]

Answers

X= -1 and -11
Put -1 and -11 in for x. The answer comes out 6

Figure A is a scale image of Figure B.
16
10
Figure A
12.5
Figure B
What is the value of x?

Figure A is a scale image of Figure B.1610Figure A12.5Figure BWhat is the value of x?

Answers

Answer:

20

Step-by-step explanation:

I got it correct on khan

Solve for x
Enter the solutions from least to greatest.
-4x^2– 7 = -11

Solve for xEnter the solutions from least to greatest.-4x^2 7 = -11

Answers

Answer:

x = 1, x = -1

Step-by-step explanation:

-4x² = -4

x² = 1

x = \(\sqrt{1}\)

x = ±1

explain what the symbols and sd represent.

Answers

The symbols d and sd represent:

The differences in the mean of the paired data entries in the dependent samples.

What is the standard deviation?

A measure of a set of values' variance or dispersion is called the standard deviation.

Here,

d: the difference between paired data in the dependent samples.

sd:  standard deviation.

The dependent samples' dependent samples' standard deviation for the variance between the means of the paired data items.

Hence, the differences in the mean of the paired data entries in the dependent samples.

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60 points and brainiest!!!!!! Pls help me

60 points and brainiest!!!!!! Pls help me
60 points and brainiest!!!!!! Pls help me
60 points and brainiest!!!!!! Pls help me
60 points and brainiest!!!!!! Pls help me
60 points and brainiest!!!!!! Pls help me

Answers

Answers:

1.) x - 3, x < -3

2.) x - 3, x>3

3.) x - 3, -3 <_ x > 3

4.) 2/5, 3/6

5.) 8, 10

f(x)=-x^2+7x-13 {Find }f(-3) it's not -25....so if that's ur answer..it's wrong
VERY IMPORTANT THAT U CAN ANSWER AS FAST AS POSSIBLE!!!!!!! IM ON A TIME CRUNCH!!!!!!

Answers

Answer:

-43

Step-b-y-step explanation:

f(x)= -x^2+7x-13  so

f(-3)= - (-3)^2 + 7(-3) - 13

= -9 - 21 - 13

= -43.

Algebra I-A
2 84.3 Quiz: Two-Variable Systems of treuses
A. Region D
B. Region A
C. Region C
OD. Region B
A
D
B

Algebra I-A2 84.3 Quiz: Two-Variable Systems of treusesA. Region DB. Region AC. Region COD. Region BADB

Answers

The region of the solutions to the system is (d) Region B

Selecting the region of the solutions to the system

From the question, we have the following parameters that can be used in our computation:

The graph

This point of intersection of the lines of the graph represent the solution to the system graphed

From the graph, we have the intersection point to be

(x, y) = (2, 3)

This is located in region B and it means that

x = 2 and y = 3

Hence, the region of the solutions to the system is (d) Region B

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write a statement that creates a list called my_nums, containing the elements 5, 10, and 20.

Answers

A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

What is an array?

An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).

What are three types of arrays?

The three types of arrays are index, multidimensional and associative array.

my_nums= [5,10,15] is an array that stores multiples of 5.

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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.

What is an array?

An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.

What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.

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In one class, 1/5 of the students were born in January, 1/10 in February, and 1/10 in March. How many of the class was born in these 3 months?

Answers

The total number of students born in these three months is 2/5 of the total number of students in the class.

What is ratio ?

Ratio can be defined as given value divided by total value.

Let's assume there are a total of "x" students in the class.

According to the problem, 1/5 of the students were born in January.

So the number of students born in January = 1/5 * x

Similarly, 1/10 of the students were born in February, which means the number of students born in February = 1/10 * x.

And 1/10 of the students were born in March, which means the number of students born in March = 1/10 * x.

To find the total number of students born in these three months, we add up the number of students born in January, February, and March:

1/5 * x + 1/10 * x + 1/10 * x

= (2/10 * x) + (1/10 * x) + (1/10 * x)

= 4/10 * x

= 2/5 * x

Therefore, the total number of students born in these three months is 2/5 of the total number of students in the class.

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The data given below correspond to the weights in kg of eighty people. Get the mean and the mode.

The data given below correspond to the weights in kg of eighty people. Get the mean and the mode.

Answers

ANSWERS

• Mean: 67.025

,

• Mode: 67

EXPLANATION

The mean is the sum of all the data, divided by the amount of data,

\(\bar{x}=\frac{1}{n}\sum_{i\mathop{=}1}^nx_i\)

In this case, the amount of data is 80,

\(\bar{x}=67.025\)

Hence, the mean of this data set is 67.025.

The mode is the value or values in the data set that occurs most frequently. It is easier to find if we order the data set,

The value 67 occurs 9 times, while the second most frequent value is 66, which occurs 7 times.

Hence, the mode of this data set is 67.

The data given below correspond to the weights in kg of eighty people. Get the mean and the mode.

cherie left at 7:10 to drive to her aunts house her aunts lives 339 miles away she arrived at 12:55 how long did it take cherie to drive to her aunt house

Answers

Answer:

17hrs 45mins

Step-by-step explanation:

Timespan is 17 hour(s) and 45 minute(s).

suppose that 51% of people own dogs. if you pick two people at random, what is the probability that they both own a dog?

Answers

If 51% of people owns dogs and you randomly pick two people,  then probability that they both own a dog is 0.2601

Given,

The percentage of people own dogs= 51%

We know,

Probability = Number of favorable outcomes / Total outcomes.

If you choose random guy and probability that guy own a dog = 0.51

Here the probability of having a dog is independent events

Then,

Probability that they both own a dog = Probability of first person own a dog × Probability of second person own a dog

= 0.51×0.51

=0.2601

Hence, If 51% of people owns dogs and you randomly pick two people,  then probability that they both own a dog is 0.2601

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Find the value of ​f(5​) for the function.
​f(a)=3​(a+2​)−8

Answers

Answer:

f(5) = 3(5+2) - 8

f(5) = 15+6 -8

f(5) = 21 - 8

f(5) = 13

f(5)=3(5+2)-8
F(5)=13

DUE IN 2 minutes
pls help

DUE IN 2 minutespls help

Answers

Answer: I can’t see the numbers dude.

Step-by-step explanation:

Sorry

From what I can see it would be 12

Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x?
A. p(x) and q(x) have the same domain and the same range.
B. p(x) and q(x) have the same domain but different ranges.
C. p(x) and q(x) have different domains but the same range.
D. p(x) and q(x) have different domains and different ranges.

Answers

The correct answer is B.

p(x) and q(x) have the same domain but different ranges.

Let's analyze the functions individually:

Function p(x) = 6 – x:

Domain: There are no restrictions on the values of x, so the domain of p(x) is all real numbers.

Range: As x increases, the value of 6 – x decreases. Therefore, the range of p(x) is also all real numbers.

Function q(x) = 6x:

Domain: Again, there are no restrictions on the values of x, so the domain of q(x) is all real numbers.

Range: As x increases, the value of 6x also increases.

Therefore, the range of q(x) is all real numbers greater than or equal to zero (0).

Since the ranges of p(x) and q(x) are different (all real numbers for p(x) and all real numbers greater than or equal to zero for q(x)), the correct answer is B. p(x) and q(x) have the same domain but different ranges.

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- 2 (k+ 3) > - 2k - 7

Answers

Answer:

-2 (k+3) > -2k -7 --> -2k-6 > -2k-7

                                +2k       +2k

                                      -6 > -7 = No Solution

Step-by-step explanation:

Can somone help me with this 2 step question

Can somone help me with this 2 step question
Can somone help me with this 2 step question

Answers

Using the probability, Carlos should use 4 blocks labeled with a 1 and 1 block labeled with a 0 to represent kicking 5 field goals in a single game with a 72% probability of making each one.

How many of each block should he use to represent the situation

To represent kicking 5 field goals in a single game with a 72% probability of making each one, Carlos can use a block for each kick, and label the block with a 1 to represent making the kick and a 0 to represent missing the kick. Since there are 5 kicks in total, he would need 5 blocks in total.

To determine how many of each block Carlos should use to represent the situation, we need to calculate the probability of making each kick and use it to determine the number of blocks labeled with a 1 and a 0.

Since the probability of making each kick is 72%, the probability of missing each kick is 28% (100% - 72%). Therefore, to represent 5 kicks with a 72% probability of making each one, Carlos should use:

5 x 0.72 = 3.6 blocks labeled with a 1 (rounded to the nearest whole number, this is 4 blocks)5 x 0.28 = 1.4 blocks labeled with a 0 (rounded to the nearest whole number, this is 1 block)

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a basketball player has a 0.682 probability of making a three-point shot. what is the probability that it takes the player 2 tries to make a three-point shot? (round your answer to three decimals if necessary.)

Answers

The probability that it takes the player 2 tries to make a three-point shot is approximately 0.217.

To find the probability that it takes player 2 tries to make a three-point shot, we can use the concept of geometric probability.

The probability of making a three-point shot on any single attempt is 0.682. Therefore, the probability of missing a shot on a single attempt is 1 - 0.682 = 0.318.

Since we are interested in the player making the shot on the second attempt, we need to consider the following sequence of events:

1. Missing the shot on the first attempt (probability of 0.318).

2. Making the shot on the second attempt (probability of 0.682).

To find the probability of these events occurring in sequence, we multiply their probabilities together:

0.318 * 0.682 = 0.217276

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Write the equation in slope intercept form. Then find the slope and y intercept of the line.
3x+7y=2

Answers

Answer:

3x+7y=2

7y=-3x+2

y=3/7x +2/7

Step-by-step explanation:

the forme slope intercept y=mx+b

so you find what y equal in equation

the slope its m so in this equation its 3/7

y intercept its b in this equation its 2/7

A basketball player has a 0.603 probability of making a free throw. if the player shoots 28 free throws, what is the probability that she makes no more than 20 of them?

Answers

The probability that she makes no more than 20 of them is 0.394

We use Binomial Distribution in solving this question.

The discrete probability distribution known as the binomial distribution only offers two outcomes for an experiment: success or failure.

Sum of independent Bernoulli trials is binomial distribution; a random Variable x is said to be following binomial distribution if it's density is given as

P(X=x) = (nCx) px (1−p)n−x    where x=0,1,2…n

Let x denotes the number of throws that makes a free throw so here

x follows Binomial distribution with n=28 and p=0.603

Thus, we calculate

P(X≤20) =∑_(k=0)^1▒1= (28Ck)0.603k (1−0.603)28−k =0.3144

=0.394

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The normal body temperature of a horse is about 99.6 degrees Fahrenheit. The normal body temperature of a dog is about 101.3 degrees Fahrenheit. What is the difference between these two normal body temperatures?

Answers

Answer:

1.7 degrees

Step-by-step explanation:

101.3-99.6= 1.7

Answer:

1.7 Degrees

Step-by-step explanation:

101.3-99.6= 1.7

What is the measure of x? Please help asap!

What is the measure of x? Please help asap!

Answers

\(4x + x = 180\)

\(5x = 180\)

\(x = \frac{180}{5} = 36\)

Answer:

36

Step-by-step explanation:

This is a Linear Pair. Adjacent (next to) angles that form a straight line. A good rule of thumb for 90% of Geometry, angle relationships are usually either supplementary or congruent. In this case, since they together form a straight line, they are supplementary.

x + 4x = 180

5x = 180

180/5 = 36

If you plug these numbers in, you have a 36 degree angle and a 144 degree angle (sum of 180). Easy way to check your work if ever unsure.

Which of the following phrases are expression
-3
8+c<7d
B/12=24/16
8
2a
(10+7)(50+1)

Which of the following phrases are expression-38+c&lt;7dB/12=24/16 82a(10+7)(50+1)

Answers

B,D,E is the answer for sure

CD players are going out of fashion in the modern era. If 400,000 CD players were sold this year and sales are declining at a rate of 17% per year, how many will be sold 3 years from now?

68,000
6,800,000
240,199
240,198

Answers

the answer would be 240,198

Suppose there are two producers in a market with the following supply functions. Supply 1: P=6+0.7Q Supply 2:P=16+0.6Q When the price is [Answer], the total quantity supplied is 250. (In decimal numbers, with two decimal places, please.) Answer:

Answers

The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

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how to solve this question??​

how to solve this question??

Answers

limx→0sinaxcosbxsincx=limx→0(cosbx⋅sinaxax⋅cxsincx⋅ac)=ac

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Find u+v-4u.u=(5,-2) and v= (-5,7) What is the core of marketing?a. Placing products in market for consumersb. Satisfying customers needs and wantsc. The designing and advertising of a productd. Increasing profitsWhich of the following is NOT true about the marketing philosophy?a. The core of this philosophy is satisfying customers wants and needs.b. This is the predominant philosophy for most of the leading firms today.c. Marketing and sales are the same.d. Following the marketing philosophy should make aggressive selling redundant.Which of the following best describes societal philosophy?a. Keeping societys needs above everything elseb. Satisfying customers needs and wants, while preserving societys long term interestc. Selling low priced productsd. Sacrificing companys profits perimeter of a regular pentagon is 5 times the length of its side Three expressions that are equivalent to 3/5a+10? Your round-trip drive to work is 4 1. miles. How many miles do you drive to and fromwork in 3 days?7 3/1012 3/1012 9/108 3/5 Write an explanatory essay that compares and contrasts John Henri Dunant's contributions to the Red Cross with Clara Barton's contributions. Use details from the passage to support your response what is the expanded and factor form of :(I) (2x+y)^3(ii) (4s-3t)^3 what is multiple-poiny perspective Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ?Image of right triangle ABC in a graph with vertices A (minus 4, minus 2), B (4, minus 2), and C (4, 4)A. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths.B. Both the reflection and dilation preserve the side lengths and angles of triangle .C. Neither the reflection nor the dilation preserves the side lengths and angles of triangle .D. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles. assessment data for a 7-year old reveals an inability to take turns, blurting out answers to questions before a question is complete, and frequently interrupting others' conversations. how should the nurse document these behaviors? explore jefferson's expansion of presidential power including the purchase & exploration if the louisiana territory What were three countries that practiced imperialism The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. 9) a. Refer to Exhibit 6-6. What is the random variable in this experiment? a. the life expectancy of this brand of tire b. the normal distribution c. 40,000 miles d. None of the alternative answers is correct. Determine the slope for each of the following situations. PLEASE HELP ASAP!!!!!! WITH EXPLANATION >:( TWWilliam has been diagnosed with anorexia nervosa. What does this MOST likely mean for William?A. He is hyper-focused on losing weight by starving himself.B. He is experiencing extreme weight gain due to binge eating.C. He is ill because he exercised in extremely hot conditions.D. He is consuming more calories than his body is able to burn. that my last Q8 A , can someone help me with Let f(x) = x3 sin(6x + 4). Calculate f'(3). Enter your answer to 2 decimal places. Note that the sine function uses radians, not degrees. what is 75 in simplifed form? -------------software is marketed and sold to any customer who wish to use it. generic custom prototype critical the cost of software on pc are often greater than the hardware cost true false briefly discuss why software testing cost maybe higher for generic software product that are sold to a very wide market