vFind the LCD for the expressions 2x^(2)-x-12 and 1x^(2)-16. Hint: Find and enter only the LCD for the expressions. You do not need to find or rewrite the full equivalent rational expressions with nu

Answers

Answer 1

The LCD (Least Common Denominator) for the expressions 2x^(2)-x-12 and 1x^(2)-16 is (x+4)(x-4).

To find the LCD, we need to factorize the denominators of both expressions and determine the common factors. Let's factorize each denominator:

2x^(2)-x-12 can be factored as (2x+3)(x-4).

1x^(2)-16 is a difference of squares and can be factored as (x+4)(x-4).

Now, we look for the common factors in both factorizations. We can see that (x-4) is common to both expressions.

Therefore, the LCD is (x+4)(x-4).

The LCD for the expressions 2x^(2)-x-12 and 1x^(2)-16 is (x+4)(x-4). The LCD is important in working with rational expressions because it allows us to find a common denominator, which is necessary for adding, subtracting, or comparing fractions. By finding the LCD, we can ensure that the denominators of the expressions are the same, which facilitates further algebraic operations.

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Related Questions

Michaela created a model of a city park. For the model, 1 inch represents 5
yards. The actual park will include a playground area with a length of 40 yards
and a width of 10 yards. What is the area of the playground area in the model?

Michaela created a model of a city park. For the model, 1 inch represents 5yards. The actual park will

Answers

Answer:

400

Step-by-step explanation:

Algebra 2 someone please help whats the answer

Algebra 2 someone please help whats the answer

Answers

Answer:

yes the answer is B

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

You are right! the answer is B

MY NOTES ASK YOUR TEACHER Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter NONE In any unused answer blanks.) fx, y)-8-2x+4y-²-4² maximum " (smaller x value) (larger x value) " minimum " (smaller x value) " (larger a value) saddle points Submit Answer ) (smallest x value) ) (largest x value)

Answers

The local maximum and minimum values of the function are as follows: maximum at (smaller x value), minimum at (larger x value), and there are no saddle points.

To find the local maximum and minimum values of the function, we need to analyze its critical points, which occur where the partial derivatives are equal to zero or do not exist.

Let's denote the function as f(x, y) = -8 - 2x + 4y - x^2 - 4y^2. Taking the partial derivatives with respect to x and y, we have:

∂f/∂x = -2 - 2x

∂f/∂y = 4 - 8y

To find critical points, we set both partial derivatives to zero and solve the resulting system of equations. From ∂f/∂x = -2 - 2x = 0, we obtain x = -1. From ∂f/∂y = 4 - 8y = 0, we find y = 1/2.

Substituting these values back into the function, we get f(-1, 1/2) = -9/2. Thus, we have a local minimum at (x, y) = (-1, 1/2).

There are no other critical points, which means there are no local maximums or saddle points. Therefore, the function has a local minimum at (x, y) = (-1, 1/2) but does not have any local maximums or saddle points.

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ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.

ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer: C) 63

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

Explanation:

Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y

y = measure of arc CDF

Adding the three arcs forms a full circle of 360 degrees

(arc CBH)+(arc FGH)+(arc CDF) = 360

170+64+y = 360

y+234 = 360

y = 360-234

y = 126

arc CDF = 126 degrees

Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.

inscribed angle = (arc measure)/2

x = (arc CDF)/2

x = 126/2

x = 63

Answer:

rewrite the fromula 126

Step-by-step explanation:

question 91 pts nine percent of americans have rh-negative o blood type. in a random sample of 200 americans, what is the probability that the sample proportion with rh-negative o blood types will be less than 12% (round off to second decimal place)?

Answers

The probability that the sample proportion with rh-negative o blood types will be less than 12% is 0.93.

Given:

91 pts nine percent of Americans have rh-negative o blood type.

In a random sample of 200 Americans, what is the probability that the sample proportion with rh-negative o blood types will be less than 12% = ?

Using central limit theorem,

P(p cap < p) = P(Z<p cap-p/√p(1-p)/n)

so,

P(p cap < 0.12) = P(Z<0.12-0.09/√(0.09×0.91/200)

= P(Z<1.4825)

= 0.9309 (from Z table)

= 0.93 (Rounded to second decimal place)

Hence we get the required answer.

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i need some help on figuring out how to find the distributive propertie

i need some help on figuring out how to find the distributive propertie

Answers

The initial equation is:

\(-4(\frac{3}{2}x-\frac{1}{2})=-15\)

So if we use the distribution propertie, we have to multiply the 4 for all term in the parenthesis so:

\(-4\cdot\frac{3}{2}x+4\cdot\frac{1}{2}=-15\)

and then we simplify:

\(-6x+2=-15\)

So is option D)

PLEASE HELP GIVING POINTs :))!!

PLEASE HELP GIVING POINTs :))!!

Answers

Answer:

C (1, - 4)

Answer is C.

A (4, - 1)

Answer could be A as well.

Not sure.

easy points just answer correctly
Give the values of b, h, and k for the function f(x) = log_5 (x - 4) – 1 .
b = 5, h = -4, and k = 1
b = 5, h = 4, and k = 1
b = 5, h = 4, and k = -1
b = 5, h = -4, and k = -1

Answers

Answer:

D. b = 5, h = - 4, k = - 1

Step-by-step explanation:

Translated of logarithmic function:

\(f(x) = log_b (x + h) + k\)  where b is base, h - horizontal shift, k - vertical shift

According to given function the values are:

b = 5, h = - 4, k = - 1

Correct choice is D

General equation

log_b(x+h)-k

Here our equation

log_5(x-4)-1

So

b=5h=-4k=1

Find the value of abc if a = 4, b=-2 and c= -1.

Answers

Answer:

4+2+1=7 Make me brainlist please

a random sample of n equal to 64 scores is selected from a normally distributed population with mu equal to 77 and sigma equal to 21. what is the probability that the sample mean will be less than 79? hint: this is a z-score for a sample.

Answers

The probability of the sample mean being less than 79 is 77.64%

In order to solve the given problem we have to take the help of Standard error mean

SEM = ∑/√(n)

here,

∑ = population standard deviation

n = sample size

hence, the z-score can be calculated as

z = ( x' - μ)/σ/√(n)

here,

x' = sample mean

μ = population mean

σ = population standard deviation

n = sample size

adding the values into the formula

SEM = σ / √(n)

= 21/√64

= 2.625

z = (x' - μ)/SEM

= (79-77)/2.625

= 0.76

now, using standard distribution table we find that probability of a z-score is less than 0.77 then converting it into percentage

0.77 x 100

= 77%

The probability of the sample mean being less than 79 is 77.64%

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NEED HELP IMMEDIATELY PLEASE AND THANK YOU!!!

NEED HELP IMMEDIATELY PLEASE AND THANK YOU!!!

Answers

Answer:

(0,5)

Step-by-step explanation:

NEED HELP IMMEDIATELY PLEASE AND THANK YOU!!!
(0,5)
0-5=-5
x=0
y=-5





BN Rao Suits B N Rao suits is a 146-year old firm that has branches at 3 places in Bangalore - Domlur, Kaly Nagar and Vijay Nagar. They have plans to open another branch at Electronic City. Though B Rao suits specialize in suits, they also have a good collection of formal shirts, trousers and Shirts. Needless to add, their apparels are priced at a premium. But they have been doing go business because of their services and brand reputation. They have been very few qua complaints and even if there were some, the in-house tailors whom they had ensured that problem was rectified in a matter of minutes. Dr. Amarkant Tripathi who works in a top notch IT firm in Bangalore decided to explore B N R suits for the first time. He was scheduled to attend a meeting in Chennai on Friday 15

May 20 and he decided to visit B N Rao suits on 1" May itself. But as it was Labor Day, he visited the sh at Vijay Nagar the next day. The measurements were taken and he was assured that the delive would be given on 13
t
May-two days before his scheduled departure to Chennai. On 13
an
May. Dr Tripathi got the delivery but to his dismay the trouser was fight. To add to woes, the store manager politely informed him that the in-house tailor was scheduled to ret from his native place in the evening and that he can be rest assured that his trousers will delivered to him in the evening. There were 4 tailors in the Vijay Nagar branch but three of the had been diverted to the Domlur branch because of a large order there. As there were not ma orders in the Vijay Nagar branch, the store manager was confident that they could manage witt in-house tailor. Unfortunately, after stitching the suit of Dr Tripathi, the tailor had to rush to native place at Kolar on an emergency. When Dr Tripathi called up B N Rao on 13th, he was asked to come on 14
an
and the sto manager profusely apologized to him for the delay saying that the tailor was delayed. T deadlines for the large order in the Domlur branch were tight. so no tailor could be spared fro that branch, The Kalyan Nagar branch was a recent branch and there was only one tailor the who was busy with the present order. On 14n moming. when Dr Tripathi called up the store manager the alteration was not yet dor Livid about the delay, Dr Tripathi blew his fuse. The store manager listened to him patiently a asked him if Dr Tripathi could share details of his programme. Dr Tripathi was in no mood to obli and said that he would come back from Chennai and then collect his suit the next week. decided to wear one of his older suits for the meeting. Dr Tripathi left for Chennai on 14
th
evening. On 15
th
May, 2-hours before the scheduled meeting the hotel where Dr Tripathi was put up. he received a package. When he opened it, he found trouser neatly packed along with a bunch of handkerchieves and an apology note from the st manager. The trouser fitted him well. But Dr Tripathi was perplexed. How did B N Rao suits co. to know of his plan? He got his answers when he returned to Bangalore on 17

May 2012 . T store manager had called up Dr Tripathi's home. had spoken to his daughter and had explain the problem to her. He had arranged for the suit to be taken to the Domlur branch personally a got it mended. He then arranged for the suit to be delivered by Express Delivery on 14
th
even so that it could reach Chennai the next day. Explain: Service Recovery Paradox in the above context.

Answers

The scenario described above illustrates the Service Recovery Paradox, where a customer's satisfaction can actually increase after experiencing a service failure and receiving effective recovery efforts.

Dr. Amarkant Tripathi faced a delay and inconvenience with his suit order from B N Rao suits, but the store manager went above and beyond to rectify the situation, ultimately leading to Dr. Tripathi's increased satisfaction and loyalty.

The Service Recovery Paradox occurs when a customer's satisfaction and loyalty increase even after encountering a service failure. In the given context, Dr. Tripathi experienced a delay and fitting issue with his suit order. However, the store manager took prompt action to resolve the problem and ensure Dr. Tripathi's satisfaction.
Despite initial setbacks, the store manager exhibited proactive service recovery efforts. He communicated with Dr. Tripathi, apologized sincerely, and made efforts to rectify the situation promptly. The manager's willingness to listen, understand, and address the customer's concerns played a crucial role.
Furthermore, the store manager's personal involvement, contacting Dr. Tripathi's home, explaining the situation to his daughter, and arranging for the suit to be taken to the Domlur branch for repairs and express delivery showcased a high level of customer service and dedication to resolving the issue.
These service recovery efforts exceeded Dr. Tripathi's expectations and demonstrated B N Rao suits' commitment to customer satisfaction. As a result, when Dr. Tripathi received the suit, along with the apology note and additional handkerchiefs, he felt not only satisfied with the resolution but also impressed by the store's efforts to understand his needs and deliver a superior service experience.
The Service Recovery Paradox, in this case, highlights the importance of effective service recovery in building customer loyalty and turning a potentially negative experience into a positive one. B N Rao suits' commitment to resolving the issue and going the extra mile to deliver a satisfactory outcome ultimately strengthened the customer's trust and loyalty in the brand.

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What does 0=0 indicate about the solutions of the system?

Answers

Answer:

If you end up with 0=0 that indicates that both of the equations are for the same line, meaning there infinite solutions.

Answer: If the elimination produces the equation 0=0, then the two equations are for the same line.  This means that there are an infinite number of solutions.We reach a case like 0 = 0 when the equation are similar or same in the system of linear equations.

(1-x)²-(-x-2)×(2x+3)
can someone explain how to solve this step by step please

Answers

Remember pemdas when possible
((1-x)^2)-(-x-2)*(2x+3)
Expand the exponent
(1-x)(1-x)-(-x-2)(2x+3)
Foil the first half
(1-x-x+(x^2))-(-x-2)(2x+3)
Combine like terms in first half
((X^2)-2x+1)-(-x-2)(2x+3)
Foil second half
((X^2)-2x+1)-((-2(x^2))-4x-3x-6)
Combine like terms in second half
((X^2)-2x+1)-((-2(x^2))-7x-6)
Multiply in the negative for the second half
((X^2)-2x+1)+((2(x^2))+7x+6)
Remove unnecessary parentheses
(X^2)-2x+1+2(x^2)+7x+6
Reorganize
2(x^2)+(x^2)+7x-2x+6+1
Combine like terms and you’re done
3(x^2)+5x+7

Lia earned $4.50 in 5 hours. How much does she make per hour?

Answers

Answer 0.90

Step-by-step explanation: she makes 0.90 cents we know because if you multiply it by 5 you get the equation.

.9 or 9 cents and hour
You divide 4.50 by 5

Can you help me please?

Can you solve for each variable? (x, y, and z)

Can you help me please? Can you solve for each variable? (x, y, and z)

Answers

Answer:

x = 103

y = 103

z = 33

Step-by-step explanation:

The sum of all three interior angles is 180 degrees.

180 - 29 - 48 = 103

x = 103

The vertical angles are always congruent, so x = y.

y = 103

180 - 44 - 103 = 33

z = 33

Help I will give brainlyestt!!!

Help I will give brainlyestt!!!

Answers

Answer:

I think the answer is the 3rd table and the 4th

Step by step:

This is because if you were to draw them you would realise it forms a happy face or sad one

What are the solutions to the system of equations? {y=2x2+6x−10 y=−x+5

Answers

Answer: x = -5, 3/2 y = 10, 7/2

Explanation:

y = 2x^2 + 6x - 10 (1)
y = - x + 5 (2)

=> 2x^2 + 6x - 10 = - x + 5
2x^2 - 7x - 15 = 0
(2x - 3)(x + 5) = 0
=> 2x - 3 = 0
2x = 3
x = 3/2
=> x + 5 = 0
x = -5

According to (2):

y = -x + 5
y = -(-5) + 5
y = 5 + 5 = 10

y = -x + 5
y = -(3/2) + 5
y = -(3/2) + 10/2
y = 7/2

Answer:

I think this is mistake because y=2x^2+6x-10 y=x+5 this is the right

Perpetual Inventory Using FIFO The following units of a particular item were available for sale during the calendar year: The firm maintains a perpetual inventory system. Determine the cost of goods sold for each sale and the inventory balance after each sale, assuming the first-in, first-out method. Present the data in the form illustrated in Exhibit 3. Under FIFO, if units are in inventory at two different costs, enter the units with the LOWER unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.

Answers

The FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.

To determine the cost of goods sold for each sale and the inventory balance after each sale using the first-in, first-out (FIFO) method, we need to follow these steps:

1. Identify the units sold and their respective costs:
  - Start with the units available for sale at the beginning of the year.
  - For each sale, allocate the units sold from the oldest inventory (first-in) at their corresponding cost.

2. Calculate the cost of goods sold (COGS) for each sale:
  - Multiply the number of units sold by their respective cost.
  - This will give you the cost of goods sold for each sale.

3. Update the inventory balance after each sale:
  - Subtract the units sold from the total units available for sale.
  - Multiply the remaining units by their respective cost to get the ending inventory value.

Remember to follow the FIFO principle and enter the units with the lower unit cost first in the Cost of Goods Sold Unit Cost column and in the Inventory Unit Cost column.

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Valentina has a tray where she keeps all of her important papers. the tray is in the shape of a rectangular prism with no top. a rectangular prism with a length of 12 inches, width of 10 inches, and height of 2.5 inches. what is the volume of papers that the tray can hold? 160 inches cubed 180 inches cubed 280 inches cubed 300 inches cubed

Answers

Answer:

300 inches cubed

Step-by-step explanation:

12 x 10 x 2.5 = 12 x 25
                    = (3 x 4) x 25
                    = 3 x (4 x 25)
                    = 3 x 100
                    = 300

Let P be the centroid of STU, and let SW be a median of STU. If SW = 6, find SP and PW.

the median SP is ?
The median PW is .​

Answers

Answer:

The length of SP is 2

The length of PW is 4

Step-by-step explanation:

Firstly, we need an image that represents the information given

Mathematically, we have that the centroid is at a position of 2/3 along the median

This means that the centroid will divide the median into two lengths with the length of one double the length of the other

Mathematically;

SW = SP + PW

where PW is the longer length

The length of PW will be;

2/3 * 6 = 4

The length of SP will be 6-4 = 2

Let P be the centroid of STU, and let SW be a median of STU. If SW = 6, find SP and PW.the median SP

Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?.

Answers

You can use the fact that the time taken for some object to travel is expressed as the ratio of the distance traveled to the average speed of the object.

The rational function that models the time y (in hours ) for the given condition is  \(y = \dfrac{d}{x}\)

How are time taken for travel, distance traveled, and the average speed are related?

We have this below shown relation between them

\(\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Total time taken to travel that distance}= \dfrac{\text{Distance traveled}}{\text{Average speed} }\)

How to use the relationship between time taken, distance traveled and the average speed to find the expression for time?

Since we're given that the average speed of the train during travel from first city to second  is x miles per hour, and let the distance between both the cities be given by d miles , then we have:

\(\text{Time taken} = \dfrac{d}{\text{average speed}} \\\\y = \dfrac{d}{x}\)

Thus,

The rational function that models the time y (in hours ) for the given condition is  \(y = \dfrac{d}{x}\)

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Answer: D or y= 160/x

Step-by-step explanation:

Jonas builds a snow fort. He tells his friends it is 0.80.80, point, 8 meters tall inside, but he rounded the height to the nearest tenth.

Answers

Answer:

D. 0.77

Step-by-step explanation:

Jonas builds a snow fort. He tells his friends it is 0.8 meters tall inside, but he rounded the height to the nearest tenth. Which could be the height of the snow fort before Jonas rounded it?

Check all options by rounding to the nearest tenth

A. 0.89 m

= 0.9 m

B. 0.74 m

= 0.7 m

C. 0.85

= 0.9 m

D. 0.77

= 0.8 m

Note: Digits 0 - 4 are rounded down while digits 5 - 9 are rounded up

Rounding to the nearest tenth means having one digits after the decimal point

24 is 17% of what number

Answers

Answer:

141.18

Step-by-step explanation:

identify the slope, x intercept, and the y intercept of the following:
5x+12y=24​

Answers

Answer:

slope = -5/12x

x intercept = 24/5

Step-by-step explanation:

identify the slope, x intercept, and the y intercept of the following:5x+12y=24

Answer: 0,-2

Step-by-step explanation:

<1
Solve for <1.
<1 = [?]°
52°
<3 116°

&lt;1Solve for &lt;1.&lt;1 = [?]52&lt;3 116

Answers

Step-by-step explanation:

<3° +116 = 180 (linear pair)

<3° = 180-116 = 64°

<1° + <3° + 52 = 180 ( angle sum property of a triangle)

<1° +64+52=180

<1°= 180-64-52

<1°= 64°

find the domain and range of f(x)=-x2 + 3 using interval notation

Answers

domain all R and range [3,infinity)

Step-by-step explanation:

domain is all the values of x, i.e x=2

range is the outcome of the equation, i.e 2*2 + 3 = 7

Suppose we have
and
be polynomials in.
(a) Here, now we have to find the polynomial with coefficients in.
Therefore, we get
Also for we have to find the polynomial with coefficients in.
Therefore, we get

Answers

The polynomials with coefficients in Z5 are f(x) = 2x² - x + 5 and g(x) = 3x³ - 2x² + x + 4.

Suppose we have polynomials f(x) = 2x² + 4x + 5 and g(x) = 3x³ - 2x² + x - 6.  

                     

Find the polynomial with coefficients in Z5?    

Here, we have to find the polynomial with coefficients in Z5, which means we need to perform arithmetic modulo 5. So, we replace all coefficients with their remainder when divided by 5.We have, f(x) = 2x² + 4x + 5 = 2x² - x + 5          (mod 5) g(x) = 3x³ - 2x² + x - 6 = 3x³ - 2x² + x + 4 (mod 5). Therefore, the polynomials with coefficients in Z5 are f(x) = 2x² - x + 5 and g(x) = 3x³ - 2x² + x + 4.

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also help me with this please.

also help me with this please.

Answers

3

15/5=3
12/4= 3

So the scale factor is 3! :)

Answer:

3

Step-by-step explanation:

To find the scale factor, take the first side and determine what you need to multiple it by to get the second side

5*what = 15

Divide each side by 5

what = 15/5

what = 3

Check

4*3 = 12

This is true so the scale factor is 3

determine the equation of the circle graphed below .

( help please )

determine the equation of the circle graphed below .( help please )

Answers

Answer:

(x + 5)² + (y - 4)² = 17

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 5, 4 ) , then

(x - (- 5) )² + (y - 4)² = r² , that is

(x + 5)² + (y - 4)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 1, 5)

r = \(\sqrt{(-1+5)^2+(5-4)^2}\)

  = \(\sqrt{4^2+1^2}\)

  = \(\sqrt{16+1}\)

  = \(\sqrt{17}\) ⇒ r² = (\(\sqrt{17}\) )² = 17

Then

(x + 5)² + (y - 4)² = 17 ← equation of circle

Answer:

x² + y² + 10x - 8y + 24 = 0

Step-by-step explanation:

equation of a circle :-

equation of a circle :-(x - h)² + (y - k)² = r²

(h, k) is the center of the circle R is the radius of the circle

for this circle :-

h = -5k = 4R = ?

finding radius of the circle

we've been given a point ( -1, 5) that lies on the circle and hence should satisfy the equation of the circle

putting x = -1 and y = 5

=> (-1 - (-5))² + (5 - 4)² = r²

=> (-1 + 5)² + 1² = r²

=> 4² + 1 = r²

=> 17 = r²

\( = > r = \sqrt{17} \)

the radius if the circle is √17 units

__________________________________

finding the equation of the circle

=> (x + 5)² + (y - 4)² = (√17)²

=> x² + 25 + 10x + y² + 16 - 8y = 17

as for any two variables a and b, (a + b)² = a² + b² + 2ab

=> x² + y² + 10x - 8y + 24 = 0

Other Questions
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