Answer? Having trouble understanding this question

Answer? Having Trouble Understanding This Question

Answers

Answer 1

Answer:

[tex]\frac{k+5}{k-2}[/tex]

Step-by-step explanation:

[tex]\frac{1-\frac{25}{k^2} }{1-\frac{7}{k}+\frac{10}{k^2} }[/tex]

multiply numerator and denominator by k² to eliminate fractions

= [tex]\frac{k^2-25}{k^2-7k+10}[/tex] ← factor numerator and denominator

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

k² - 25 ← is a difference of squares

= (k - 5)(k + 5)

k² - 7k + 10

= (k - 5)(k - 2)

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

= [tex]\frac{(k-5)(k+5)}{(k-5)(k-2)}[/tex] ← cancel (x - 5) on numerator / denominator

= [tex]\frac{k+5}{k-2}[/tex]


Related Questions

Pedro's dining room is 5 metres wide and 6 metres long. pedro wants to install a new wood floor. it will cost $2.18 per square metre. how much will pedro's new floor cost?

Answers

Answer:

65.4

Step-by-step explanation:

5 × 6 = 30 square meter

30 × 2.18 = 65.4

1. What is the binomial expansion of (x + 3)5? ​

Answers

Answer:

5x + 15

Step-by-step explanation:

To expand the binomial, you need to multiply each term inside the parentheses by 5.

(x + 3)5

= (x * 5) + (3 * 5)

= 5x + 15

Item 18
What is the volume of the prism?



Enter your answer, as a mixed number in simplest form, in the box.


cm³


The figure contains a right rectangular prism. The length of the prism is labeled 6 and one half centimeters, the width is labeled 2 and one half centimeters, and the height is labeled 2 and one half centimeters.

Answers

A mixed number in simplest form, in the box is 40  5/8 cm^3.

We have given that,

The figure contains a right rectangular prism. The length of the prism is labeled 6 and one-half centimeters, the width is labeled 2 and one-half centimeters, and the height is labeled 2 and one-half centimeters.

What is the volume of the prism?

The figure is a rectangular prism, so the formula would be Volume = length x width x height.

length = 6 .5cm

width  =  2.5cm

height  =  2.5cm

If you plug everything you have in the problem into the volume equation, you would get

volume = 6.5cm x 2.5cm x 2.5 cm.

Without a calculator first, turn the mixed numbers into improper fractions.

6 .5=13/2

2.5 = 5/2

Volume = 13/2  x 5/2   x 5/2

When you multiply everything together you should get.

As a mixed number, that would be 40 5/8.

To learn more about the prism visit:

https://brainly.com/question/23963432

#SPJ1

find [-4/5]×3/7×15/16×[-14/9]​

Answers

The given expression is [tex]\frac{-4}{5} \times \frac{3}{7} \times \frac{15}{16} \times (\frac{-14}{9})[/tex].

We need to simplify the given expression.

What is a rational number?

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Now group the rational numbers [tex](\frac{-4}{5}\times \frac{15}{16} ) \times (\frac{3}{7}\times (\frac{-14}{9}))[/tex]

[tex]=(\frac{-4}{16}\times \frac{15}{5} ) \times (\frac{3}{9}\times (\frac{-14}{7}))[/tex]

[tex]=(\frac{-1}{4}\times \frac{3}{1} ) \times (\frac{1}{3}\times (\frac{-2}{1}))[/tex]

[tex]=(\frac{-3}{4} ) \times (\frac{-2}{3})=\frac{1}{2}[/tex]

Therefore, the simplified value of the given expression is [tex]\frac{1}{2}[/tex].

To learn more about the rational numbers visit:

https://brainly.com/question/17450097.

#SPJ1

According to the table below, which of these is a possible taxable income for
a taxpayer filing with the Single filing status in the 33% federal income tax
bracket?

Answers

Based on the table, a possible taxable income for a taxpayer that's filing with the Single filing status in the 33% federal income tax bracket is $300,000.

What is taxation?

Taxation is the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.

In this scenario, we can infer and logically deduce that a possible taxable income for a taxpayer that is filing with the Single filing status in the 33% federal income tax bracket is $300,000.

Read more on tax here: https://brainly.com/question/25783927

#SPJ1

What are the solution(s) to the quadratic equation 9x² = 4?
0 x =
and x =
0 x =
I
69
4
and x = -
2
0 x = ² and x = -²
2
Ono real solution

Answers

Answer:

x= 2/3, -2/3

Step-by-step explanation:

9x² = 4

To solve this quadratic, divide each side by 9

x^2 = 4/9

Take the square root of each side

sqrt(x^2) = sqrt(4/9)

x = ±2/3

Answer:

x = ± [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

9x² = 4 ( divide both sides by 9 )

x² = [tex]\frac{4}{9}[/tex] ( take square root of both sides )

x = ± [tex]\sqrt{\frac{4}{9} }[/tex] = ± [tex]\frac{\sqrt{4} }{\sqrt{9} }[/tex] = ± [tex]\frac{2}{3}[/tex]

x = - [tex]\frac{2}{3}[/tex] , x = [tex]\frac{2}{3}[/tex]

A store selling school supplies advertises a bundle deal. The consumer can
pick a backpack, a binder, a pack of pencils, and notebook paper for a set
price. There are 6 types of backpacks, 4 types of binders, 5 types of pencils,
and 2 types of notebook paper. How many outcomes are possible in this
bundle?

Answers

Answer:

D. 240

Step-by-step explanation:

6 types of backpacks = 6

4 types of binders = 4

5 types of pencils = 5

2 types of notebook paper= 2

6×4×5×2=

24×10=

240

The number of possible outcomes will be 240. The correct option is D.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that there are 6 types of backpacks, 4 types of binders, 5 types of pencils, and 2 types of notebook paper.

6 types of backpacks = 6

4 types of binders = 4

5 types of pencils = 5

2 types of notebook paper= 2

The number of possible outcomes will be calculated as:-

N = 6×4×5×2

N = 24×10

N = 240

Therefore, there will be 240 possible outcomes. The correct answer is D.

To know more about an expression follow

https://brainly.com/question/3934279

#SPJ2

the atomic mass unit is presently based on assigning an exact integral mass (in amu) to an isotope of an hydrogen oxygen sodium carbon helium


a. hydrogen

b. oxygen

c. sodium

d. carbon

e. helium

Answers

Answer:

The reference atomic mass is carbon-12 when calculating atomic masses.

Step-by-step explanation:

The one-twelfth mass of an atom of carbon-12 is known as an atomic mass unit.

Because no other nuclide has a mass that is exactly a whole number in this scale except for carbon-12.

Learn more:

https://brainly.com/question/27966639

#SPJ10

find the value of x

Answers

Answer:

x=5

\

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

Line segment UV and line segment VW together form line segment UW.

UV + VW = UW

(5 + x) + (6) = (2x + 11)

5 + x + 6 = 2x + 11

x + 11 = 2x + 11

x + 11 - 11 = 2x + 11 - 11

x = 2x

x - x = 2x - x

0 = x

You can also verify the result by substituting x with our result 0.

5 + x + 6 = 2x + 11

5 + (0) + 6 = 2(0) + 11

11 + 0 = 0 + 11

11 = 11

Left side of the equation is the same as the right side of the equation, therefore the result x = 0 is correct.

Chloe would like to join a club for dancing entrance fee is $20.00 and will be charged $35.00 per month. Chloe would like to know cost for each month. Write and equation indicating the total cost of dancing lessons

Answers

It would be 35x+20=C

C is total cost
X is the months

my father is 4 times old as me. after 5 years my father will be 3 times old how old is my father now

Answers

Answer:

Step-by-step explanation:

What is the inverse of this function?
8v, for x > 0

Answers

Answer:

f(x) = (x/8)^2       for x ≥ 0

Step-by-step explanation:

y = 8 sqrt x      switch   x and y

x = 8 sqrt y       now solve for y

(x/8)^2 = y

Dose this tablet represent a function? Why or why not? {(2,1), (2,4), (3,4), (4,2), (5,5)}

Answers

Answer:

This mapping isn't a function.

Step-by-step explanation:

A mapping specifies a relation between two sets of items (input and output). For example, a mapping of the form [tex]\lbrace (x_{0},\, y_{0}),\, (x_{1},\, y_{1})\rbrace[/tex] would map the input [tex]x_{0}[/tex] to output [tex]y_{0}[/tex] and map the input [tex]x_{1}[/tex] to output [tex]y_{1}[/tex].

A function is a mapping where each input is associated with exactly one output.

Note that both [tex](2,\, 1)[/tex] and [tex](2,\, 4)[/tex] are in the mapping given in this question. The input [tex]2[/tex] is mapped to more than one outputs. Thus, this mapping isn't a function.

Does this graph represent a function? Why or why not?
10.
8
6
4
2
-10 8 6 4 2
88
-8
10
2468 10
A. No, because it fails the vertical line test.
O B. No, because it is not a straight line.
OC. Yes, because it passes the horizontal line test.
OD. Yes, because it passes the vertical line test.

Answers

Answer:

D.) Yes, because it passes the vertical line test.

Step-by-step explanation:

For a function to be a function, there must be one output for every input. IN other words, there must be one "y" value for every "x" value. One can see if a graph passes this test by performing the vertical line test.

In this case, the line on the graph passes the test and represents a function. Again, this is because each "x" value has only one "y" value.

Yes, The graph is function because it passes the vertical line test.

We have to given that,

A graph of function is shown in image.

Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

And, The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.

Hence, By given graph,

it passes the vertical line test.

So, Graph shown is a function.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Which is a rational function?
A. Y=5
B. Y=√x-3
C. Y=x²-3x+5
D.Y = x-5/x

Answers

B…………. is the answer

Solve for k in g=k-a.​

Answers

Answer:

k = g + a

Step-by-step explanation:

g = k - a ( add a to both sides )

g + a = k , that is

k = g + a

if the ratio to cats to dogs at the city pound is 92 to 144. which statement describes this relationship?

Answers

Answer:

For every 92 cats in the city pound, there are 144 dogs.

OR

For every 144 dogs in the city pound, there are 92 cats

Step-by-step explanation:

You didn't provide the options, so that was my best shot at it.

you could also simplify the ratio by putting it into fractional form and dividing both sides by 4 to get 23/36, so for every 23 cats there are 36 dogs, and for ever 36 dogs, there are 23 cats. this is the simplest form of the ratio

Write the sentence as an equation.

253 equals the product of 232 and k


Type a slash ( / ) if you want to use a division sign.

Answers

The solution to a given word problem by writing it as an equation is k = 253/232

Expressing word problems in mathematical forms:

The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.

From the given information, to express the word problem in mathematical form, we have:

253 = 232 × k253 = 232k

Making k the subject of the equation, we have:

k = 253/232

Learn more about expressing word problems here:

https://brainly.com/question/10556265

#SPJ1

Write the algebraic expression for the following statement.

A number plus 15.

Answers

Answer:

the algebraic expression is; x+15

Someone please help with this !!!!!

Answers

Answer:

[tex]5^{\circ}[/tex]

Step-by-step explanation:

[tex]~~~~~~~\tan \theta = \cot 85^{\circ}\\\\\implies \tan \theta = \tan\left(90^{\circ} - 85^{\circ} \right)\\\\\implies \tan \theta = \tan 5^{\circ}\\\\\implies \theta = 5^{\circ}[/tex]

A number written in scientific notation has a ________ that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.

Answers

A number written in scientific notation has a Negative Exponent that indicates the digits used in the number and is always written with 1 digit to the left of the decimal place.

The coefficient is always a number larger than or equal to one and less than ten in scientific notation. There is an integer exponent. When using scientific notation to write integers bigger than ten

The exponent is positive and equals the number of spaces to the left of the original decimal point.   When expressed in scientific notation, a negative exponent. The exponent's value is equal to how many places to the right the decimal has been pushed.

As a result, when a number is smaller than 1, it will have a negative exponent in scientific notation.

Learn more about scientific notation here :

https://brainly.com/question/18073768

#SPJ4

What multiples to 42 but adds to -13

Answers

-6 x -7 because they multiply and add

Find the slope of the line that passes
through these two points.
Point 1
(4,0)
Point 2
(6,2)

Answers

Answer:

1

Step-by-step explanation:

(2-0) / (6-4)

2/2

xxxxxxxx

Answer:

1

Step-by-step explanation:

Use the drawing tools to sketch the graph of a rational function with a domain of { x | x ∈ R , x ≠ - 5 , 4 } . Include one removable discontinuity and one nonremovable discontinuity. Label each discontinuity using the text tool.

Answers

If [tex]f(x)[/tex] has a removable discontinuity at [tex]x=a[/tex], then the limit

[tex]\displaystyle \lim_{x\to a} \frac{f(x)}{x-a}[/tex]

exists and is finite.

A non-removable discontinuity at [tex]x=b[/tex] would entail a non-finite limit,

[tex]\displaystyle \lim_{x\to b} \frac{f(x)}{x-b} = \pm\infty[/tex]

or the limit does not exist (which could be due to the limits from either side of [tex]x=b[/tex] not matching or existing).

For a rational function, we want

[tex]f(x) = \dfrac{p(x)}{q(x)}[/tex]

where [tex]p[/tex] and [tex]q[/tex] are polynomials in [tex]x[/tex]. To get a removable discontinuity at [tex]x=a[/tex], both [tex]p[/tex] and [tex]q[/tex] must be divisible by [tex]x-a[/tex], and the limit of their quotient after removing these factors still exists. That is,

[tex]\displaystyle \lim_{x\to a} f(x) = \lim_{x\to a} \frac{p(x)}{q(x)} = \lim_{x\to a}  \frac{(x-a)p^*(x)}{(x-a)q^*(x)} = \lim_{x\to a} \frac{p^*(x)}{q^*(x)} = \frac{p^*(a)}{q^*(a)}[/tex]

On the flip side, we get a non-removable discontinuity [tex]x=b[/tex] if [tex]p[/tex] is not divisible by [tex]x-b[/tex], in which case

[tex]\displaystyle \lim_{x\to b} f(x) = \lim_{x\to b} \frac{p(x)}{q(x)} = \lim_{x\to b}  \frac{p(x)}{(x-b)q^*(x)} = \frac{p(b)}{0\times q^*(b)}[/tex]

and this is undefined.

Suppose [tex]f(x)[/tex] has a non-removable discontinuity at [tex]x=-5[/tex] and a removable one at [tex]x=4[/tex]. Then one such function could be

[tex]f(x) = \dfrac{x-4}{(x-4)(x+5)} = \dfrac{x-4}{x^2+x-20}[/tex]

Which is a perfect square?
61
62
63
65

Answers

Answer:

So none of these would be a perfect square but the closet one to it would be 65

Step-by-step explanation:

65 because the average square is around 5 on each side so it would make sense for it to be 65

The Law of Sines states that sin A/b = sin B/c = sin C/a

True
False

Answers

False
Law of signs is
SinA = SinB = SinC
——- ——- ———
a. b. c.
A= angle A
a= length of side A
B= angle B
b= length of side B
C= angle C
c= length of side C

Step-by-step explanation:

hope you can understand

Use the graphs below to answer the following questions: a. g(f(2) b. f(f(1)) c. f(g(2))

Answers

Answer:

19-73 19-73 and a very nice little

Step-by-step explanation:

19-73 19-73 and he changed

The distance on a map between a student’s house and her job is 6 cm. On the same map, the distance between her house and her school 8 cm. The actual distance from her house to school is 12 km. If d represents the approximate distance in km between her house and her job, what is d? A. 4 km B. 9 km C. 48 km D. 16 k

Answers

The approximate distance in km between her house and her job is 9 km.

What is the approximate distance?

The map is a scale drawing of the places mentioned. A scale drawing is a smaller image of a larger place or diagram.

The scale of the map = 8cm : 12km

Distance between the house and the job = (12 x 6) / 8 = 9m

To learn more about scale drawings, please check: https://brainly.com/question/26388230

#SPJ1

4x² + 6x = 12
Solve by completing square​

Answers

4x² + 6x = 12

We move all the terms to the left:

a = 4; b = 6; c = -12;Δ = b² - 4acΔ = 6² - 4 · 4 · ( -12 )Δ = 228

The value of Δ is greater than zero, so the equation has two solutions

We use the following formulas to compute our solutions:

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{x_{1}=\dfrac{-b-\sqrt{\Delta} }{2a }| \ x_{2}=\dfrac{-b+\sqrt{\Delta} }{2a } } \end{gathered}$}[/tex]

The end solution:

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sqrt{\Delta}=\sqrt{228}=\sqrt{4*57}=\sqrt{4}*\sqrt{57}=2\sqrt{57} } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{x_{1}=\dfrac{-b-\sqrt{\Delta} }{2a}=\dfrac{-(6)-2\sqrt{57} }{2*4}=\dfrac{-6-2\sqrt{57} }{8} } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{x_{1}=\dfrac{-b+\sqrt{\Delta} }{2a}=\dfrac{-(6)+2\sqrt{57} }{2*4}=\dfrac{-6+2\sqrt{57} }{8} } \end{gathered}$}[/tex]

{ Pisces04 }

Order these fractions from smallest to lowest
1[tex]\frac{1}{2} \frac{7}{12} \frac{2}{17}[/tex]

Answers

Answer: [tex]\frac{1}{2} \frac{2}{17} \frac{7}{12}[/tex]

Step-by-step explanation:

Other Questions
Rewrite each expression as a function of a single angle.sqrt[(1 - cos 170) / 2] Noah has just purchased a previously owned home. he put $5,000 towards a down payment and took out a $65,000 mortgage. noah knows that his older home will need maintenance right away and wants to budget enough for this coming year for unexpected expenses. when estimating costs for home repair and maintenance, a good estimate is to budget 1% of the purchase price of a house. what would be a good yearly estimate of repairs and maintenance for noahs home? a. $1550 b. $700 c. $650 d. $150 Use properties to rewrite the given equation. Which equations have the same solution as 2.3p 10.1 = 6.5p 4 0.01p? Select two options. 2.3p 10.1 = 6.4p 4 2.3p 10.1 = 6.49p 4 230p 1010 = 650p 400 p 23p 101 = 65p 40 p 2.3p 14.1 = 6.4p 4 PLEASE HELP!! WILL GIVE BRAINLIEST! applying for a job as a server. how would you guys answer this question?How would you ensure that our guests receive superior customer service? you're using a linux distribution that uses rpm for package management. which command would you use to install httpd, the apache http server package, and all its dependencies? what's an example of radical technological change Can someone help me with this algebra two assignment I will give brainilest A client with a spinal cord injury is diagnosed with neurogenic shock. What type of shock is this categorized as A 45. 5-g super ball traveling at 27. 5 m/s bounces off a brick wall and rebounds at 21. 0 m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3. 30 ms, what is the magnitude of the average acceleration of the ball during this time interval?. In a statistics class with 36 students the professor wanted to know the probability that at least two students share the same birthday. The probability would be Use finite differences to identify the degree of the polynomial that best describes the data. 9 10 11 12 13 14 Which type of molecule is made from amino acids? Lines b and care parallel.1/2(7x+1)/(18x+4)5/67/8bWhat is the measure of 22?O m2 = 31Om42 = 50Om42 = 120Om22 130 Select the correct texts in the passage.Which detail best develops the character of Demetrio Macias in the cultural setting?adapted from The Underdogsby Mariano Azuela Everything was still swathed in shadows as Demetrio Macias began his descent to the bottom of the ravine. Between rocks striped with huge eroded cracks, and a squarely cut wall, with the river flowing below, a narrow ledge along the steep incline served as a mountain trail. "They'll surely find me now," he mused. "It's a good thing they know nothing about the trails and paths up here. . . . But if they got someone from Moyahua to guide them . . ." He left the thought unfinished. "All the men from Limon or Santa Rosa or the other nearby ranches are on our side: they wouldn't try to trail us. That cacique who's chased and run me ragged over these hills, is at Mohayua now; he'd give his eyeteeth to capture me." At dawn, he approached the pit of the canyon. Here, he lay on the rocks and fell asleep.Reset Next Please help due in soon A ________ implementation involves considerable modifications to the erp software The table below shows the electronegativity values of various elements on the periodic table.Electronegativities1215 16 17243A 4A 5A 6A 7ALi Be8F1.0 1.52.0 2.5 3.0 3.5 4.0Na MgP0.9 1.21.5 1.8 2.1 2.5 3.0KCaGe As Se Br1.8 2.0 2.4 2.80.8 1.0Rb Sr2.50.8 1.0Cs Ba0.7 0.9Which pair of elements would form an ionic bond?O carbon (C) and oxygen (0)H2.1aON00O If it requires 45.8 cal to melt 8.4 g of a substance, what is the heat offusion of the substance? PLEAS HURRY Which other historical figures are you familiar with who have impacted modern food service? Choose someone who was not mentioned in the unit and describe their impact. If you need to do some brief online research, that is okay. Hello,I need help with this exercise.A ball is launched upward at a speed of 20 meters per second (m/s) from a 60-meter tall platform. The equation for the balls height (h in meters) at time t seconds after launch is h = -4.9t2 + 20t + 60. How long before the ball hits the ground? What is the maximum height of the ball?