We need to find the numerator and denominator of the quotient.

We Need To Find The Numerator And Denominator Of The Quotient.

Answers

Answer 1

Answer:

[tex] \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \div \dfrac{x^2 + 2x - 3}{x^2 - 7x + 10} = [/tex]

[tex] = \dfrac{x^2 + x - 6}{x^2 - 6x + 5} \times \dfrac{x^2 - 7x + 10}{x^2 + 2x - 3} [/tex]

[tex] = \dfrac{(x + 3)(x - 2)}{(x - 1)(x - 5)} \times \dfrac{(x - 5)(x - 2)}{(x - 1)(x + 3)} [/tex]

[tex] = \dfrac{(x + 3)(x - 2)(x - 5)(x - 2)}{(x - 1)(x - 5)(x - 1)(x + 3)} [/tex]

[tex] = \dfrac{(x - 2)(x - 2)}{(x - 1)(x - 1)} [/tex]

[tex] = \dfrac{(x - 2)^2}{(x - 1)^2} [/tex]


Related Questions

8b - 5a + 4 for a = -4 and b = 7

If anyone gets this tysm

Answers

Answer:

80

Step-by-step explanation:

Given Question,

8b - 5a + 4

Given Values:

a = -4 and b = 7

Solution,

8(7) - 5(-4) + 4

= 56 + 20 + 4

= 80 (Ans)

Answer:

80

Step-by-step explanation:

8b - 5a + 4

a = - 4

b = 7

8(7) - 5(- 4) + 4

56 - (- 20) + 4

56 + 20 + 4

60 + 20

80

HELP DUE SOON 20 POINTS

Answers

Answer:

x = 10

Step-by-step explanation:

m∠KNL = 90

10x - 10 = 90

10x = 100

x = 10

What index of y make value 1/y^2

Answers

Answer:

(-2) is the index of y make value 1/y².

Step-by-step explanation:

We need to find what index of y makes value 1/y².

Here, the numerator is 1 and the denominator is y².

We know that,

[tex]\dfrac{1}{a^x}=a^{-x}[/tex]

So, the given expression is :

[tex]\dfrac{1}{y^2}=y^{-2}[/tex]

Hence, (-2) is the index of y make value 1/y².

how to write expression for The product of ten less than a number and the number

Answers

Answer:

x-10

Step-by-step explanation:

ten is less than x

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Finding the side length of a rectangle given its perimeter or area
The area of a rectangular field is 3975 yd?. If the length of the field is 75 yards, what is its width?
yards
Х
?

Answers

Answer:

53 yds

Step-by-step explanation:

Its just 3975 divided by 75

The interior angle of a polygon is 100 . The other interior angle are all equal to 110. how many sides has the polygon?​

Answers

There is a formula for the total interior angles of a polygon:

180(sides−2)=total interior angles

One of the angles is 100 and all the others are 110.

We can rewrite the equation.

Assume there is x number of sides.

There are x−1 number of angles, 110 degrees

180(x−2)=100+110(x−1)

180x−360=100+110x−110

70x−360=100−110

70x−360=−10

70x=3507x=35

x=5

There are 5 sides to the polygon.

We can check our answer:

180(sides−2)=total interior angles

Therefore it is true:

The polygon has 5 sides

I HOPE IT HELPS

HAVE A GREAT DAY

#Liliflim

the ratio of the following 30 minutes to 2 hours.

Answers

Answer:

30 minutes to 120 minutes.

Step-by-step explanation:

Answer:

2 hrs=120 min

30:120=1:4

Step-by-step explanation:

ans is 1:4

marke brainliest plzzzzzzz

Which of the following terms have a GCF of ? Select two options.

Answers

Answer:

hi please upload the photo so we can help :)

Answer:

A:12p^3r and D:54p^3

Step-by-step explanation:

tv originally cost $400 if the price of the TV increase by 15% what is the new price ​

Answers

Answer:

$460

Step-by-step explanation:

Thus, a product that normally costs $400 with a 15 percent discount will cost you $340.00, and you saved $60.00. You can also calculate how much you save by simply moving the period in 15.00 percent two spaces to the left, and then multiply the result by $400 as follows: $400 x .15 = $60.00 savings.

Derek is skiing on a circular ski trail that has a radius of 0.6 km. Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a. How many radians does Brian sweep out?
b. When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
c. When Brian stops skiing, how many km is Brian above of the center of the ski trail?

Answers

Answer:

a) Brain sweep out 4 radians

b) Brian is -0.3922 km to the right of the center of the ski trail

c) Brian is -0.4541 km above of the center of the ski trail

Step-by-step explanation:

Given the data in the question;

circular ski trail radius = 0.6 km

Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.

a) How many radians does Brian sweep out?

arc length = 2.4 km

from the diagram;

arc length = rθ

θ = arc length / r

θ = 2.4 / 0.6

θ = 4 radians

Therefore, Brain sweep out 4 radians

b) When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?

from the diagram;

x = rcosθ

we substitute

x = 0.6 × cos(4)

x = 0.6 × -0.65364

x = -0.3922 km

Therefore Brian is -0.3922 km to the right of the center of the ski trail

c) When Brian stops skiing, how many km is Brian above of the center of the ski trail?

from the diagram;

m = rsinθ

m = 0.6 × -0.7568

m = -0.4541 km

Therefore, Brian is -0.4541 km above of the center of the ski trail

HII TYSM IF YOU ANSWER ILL GIVE BRAINLIEST did I get some of these right? if not lmk :) ​

Answers

Yes you did get them all right

(y=179x
(y=105x+2046
Solve using elimination method and graph plss
Helpppp

Answers

Answer:

[tex]x= \frac{2046}{74}\\\\y = \frac{366234}{74}[/tex]

Step-by-step explanation:

[tex]y = 179x\ ----- ( 1 ) \\\\y= 105x + 2046 \ ----- (2)\\\\[/tex]

[tex](1) => y - 179x = 0 \ ----- ( 3)\\\\(2) => y - 105x = 2046 \ ------ ( 4)[/tex]

[tex]( 3 ) - ( 4) =>\\\\(-179x +105x ) = 0 - 2046\\\\-74x = -2046\\\\x = \frac{2046}{74}[/tex]

[tex]Substitute \ x \ in ( 1 )\\\\y = 179x \\\\y = 179 \times \frac{2046}{74} = \frac{366234}{74}[/tex]

If any of the graphs below have a Hamiltonian circuit, list the vertices of the complete circuit. There may be many possibilities. For full credit, just list one for each graph, if the circuit exists

Answers

9514 1404 393

Answer:

ABHGEFDCAdoes not existECBADFE

Step-by-step explanation:

A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.

__

For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.

__

For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.

A business student is interested in estimating the 90% confidence interval for the proportion of students who bring laptops to campus. He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within seven percentage points of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population proportion is available

Answers

Answer:

n = 106

Step-by-step explanation:

Given  

p = 0.5 and 1-p = q = 0.5

Margin of error = 0.08  

Confidence level = 90%  

Z score for 90% confidence level =     1.65

As we know -  

Margin of error = z * Sqrt (pq/n)

Substituting the given value, we get –  

0.08 = 1.65 * Sqrt (0.5*0.5/n)

Squaring both the sides and solving, we get  

n = 1.65^2*0.5^2/0.08^2

n = 106.34 = 106

Find the perimeter of each figure select the figure that have a perimeter of 20 units

Answers

it would have been helpful if you put the picture
23 perimeter units is the answer

Get brainly if right?
10 points!

Answers

Answer:

Tn = -13n +37

ordered list is 24, 11 , -2 , -15, -28 ,-41



Jared flicked the arrow on this spinner four times, and the arrow landed on green each time. If Jared spins the arrow a fifth time what is the theoretical probability that it will land on green

Answers

Answer:

The correct answer would be 3/8.

Step-by-step explanation:

There are 3 greens on this spinner , and 8 in total , so there’sa probability of 3% that the arrow will land on green again .

The theoretical probability that it will land on green is 1.

What is the probability?

It is the likeliness of happening an event. It is calculated by the following formula:

Probability=number of events/number of total events.

How to calculate the probability?

Jared had flicked the arrow all the four times on the green ,it means that the probability that it is landed on green each time is 100%. So the probability that it will land on green fifth time also is 1.

Learn more about probability at https://brainly.com/question/25870256

#SPJ2

The probability that he or she is a female given that the person is married

Answers

Answer:

3 /4

Step-by-step explanation:

The probability that selected person is a female Given she is married :

This is a conditional probability in the form ; A given B

P(A|B) = P(AnB) / P(B)

Let, Female = F ; Married = M

P(F|M) = P(FnM) / P(M) = 150 / 200 = 3 / 4

If RT is 10 centimeters long, what is ST?

Answers

Answer:

Answer: a

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

First, find x

RT = 2x + 3x

10 = 2x+3x

10 = 5x

10/5 = 2

Now place 2 in place of x in the line ST

ST = 3x

ST = 3 * 2

ST = 6

The two given figures are similar. Which statements must be true? Select all that apply.

Answers

Answer:

angle B=74°

Step-by-step explanation:

the shapes are similar

A population analysist is using the formula Pn = 25.8(1.0219)h to predict the population for Ghana, a country in Africa. What does the number in in parenthesis tell us?​

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the formula :

Pn = 25.8(1.0219)^h to predict the population of Ghana ;

The equation given is in the form of an exponential function:

The general form of an exponential distribution :

y = ab^x

a = Initial value ; b = constant multiplier or growth or Decay factor

Comparing :

The number in parenthesis = 1.0219 = b

b = Decay or growth factor :

Since b > 1 ; then We have a growth factor;

b = 1 + rate

1.0219 = 1 + rate

Rate = 1.0219 - 1

Rate = 0.0219

Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%

2,6,10,14 cuales son los siguientes tres términos

Answers

Answer:

Step-by-step explanation:

2, 6, 10, 14

Entonces, como puede ver, el patrón en la secuencia se suma por 4 como (+4)

(So, as you see that the pattern in the sequence is added by 4 )

2

2+4=6

6+4=10

10+4=14

Entonces, los próximos tres términos serán (Then, the next three terms will be)

14+4=18

18+4=22

22+4=26

Plzzz someone help i just need the formula

Answers

Answer:

[tex]S(y)=36000*(1+0.03)^{y}[/tex]

Step-by-step explanation:

Answer:

y=36,000×1.03^x

Step-by-step explanation:

please help this is due today! geometry

Find the distance between the points (4.3) and (0, 3).

Answers

Please mark brainliest

Answer is 4 units

Explanation:

See the image as mathematical signs can’t be written here

What is the slope of the linear relationship shown in this table of values?​

Answers

Answer: -2 (b)

Step-by-step explanation:

So the slope of the line is the amount that the line changes as it goes along the x or y axis. Think of it like a ramp- goes up or down, steep or flat.

Take a pair of points like (-4, 11) and (2, -1)

{But you can use other points in the chart too. }

-4 to 2 is a distance of 6 --> that is the x

11 to -1 is a distance of -12 --> that is the y

We want the change in y over (or divided by) change in x.

-12 / 6 = -2

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 11) and (x₂, y₂ ) = (2, - 1) ← 2 ordered pairs from the table

m = [tex]\frac{-1-11}{2-(-4)}[/tex] = [tex]\frac{-12}{2+4}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2 → B

4th grade math question:

jessica bought 4 gallons of paint. Jessica needed to use 3/4 of the paint to paint her living room and dining room. How many gallons did she use, write the number of gallons.

Answers

Answer:

1 gallon

Step-by-step explanation:

gallons of paint needed; 4

gallons used: (3/4)*4

= 1 gallon was used

Answer:

Answer is 3 gallons

Step-by-step explanation:

1 gallon= 25%

2 gallons=50%

3 gallons=75%

3/4 is equivalent to 75%

Hope this helped!

The summit of a volcano is 5 kilometers (km) above sea level, as shown below.
If the ocean floor has an elevation of -5 kilometers, which statement describes
the distance of the summit and the ocean floor?
It's not 0 or 5

Answers

Well 5 is -10 km away from -5. We can further prove this by adding -5 + 10, giving us 5. Answer is 10!

what is A big rubbing alcohol holds 2 liters . How many milliliters is this​

Answers

Answer:

it equals 2000 mililiters

Step-by-step explanation:

Use first principal to determine the equation of tangent to f(x)= 3x^2-6 Answer please

Answers

Answer:

final answer:

y-1= 3x_6

To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.

.

.

If bob gives away 7 blocks, he will have 12 left. How many blocks did he have originally

Answers

Answer:

h

Step-by-step explanation:

19 blocks

Answer:

original blocks  =19

Step-by-step explanation:

original blocks -7 =12

Add 7 to each side

original blocks -7+7 =12+7

original blocks  =19

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