Study the example shown below:
Which expression should replace the word "numerator" in the work shown?
2x-8 x-3
x2 - 7x+10 x2- 7x+10
2x-8-(x-3)
x2 - 7x+10
numerator
(x-2)(x-5)​

Answers

Answer 1

Answer:

x-5

Step-by-step explanation:

got it right

Answer 2

The expression to replace the numerator is (x - 5).

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(2x - 8 - (x - 3)) / (x² - 7x + 10)

= (2x - x - 8 + 3) / (x - 2) (x - 5)

= (x - 5) / (x - 2) (x - 5)

Thus,

The numerator is (x - 5).

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Study The Example Shown Below:Which Expression Should Replace The Word "numerator" In The Work Shown?2x-8

Related Questions

What is the answer to the following equation.9+10

Answers

Answer:

21

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

i took too many pills counting up the bills
Molly in my cup i can't tell you how it feel​

Answers

Answer:

errday i b countin up countin up da blues  count away sometimes we always lose

Step-by-step explanation:

juice wrld

Answer:

juice wrld

Step-by-step explanation:

Work out the value of x

Answers

Answer:

x=40°

Step-by-step explanation:

Since the 2 sides of the triangle are equal, the angles are also equal. 180-110=70 so to find the angle measurement of x we have 180-70-70=40 x is 40°

The angle θ lies in Quadrant III . cosθ=−1/6 What is tanθ ?

Answers

With θ in quadrant III, we expect to have both cosθ and sinθ negative. Then from the Pythagorean identity, we get

[tex]\cos^2\theta+\sin^2\theta=1\implies\sin\theta=-\sqrt{1-\cos^2\theta}=-\dfrac{\sqrt{35}}6[/tex]

Then from the definition of tangent, that is

tanθ = sinθ / cosθ

we get

[tex]\tan\theta=\dfrac{-\frac{\sqrt{35}}6}{-\frac16}=\boxed{\sqrt{35}}[/tex]

The value of [tex]\tan \theta[/tex] is required.

The required value in quadrant three is [tex]\tan\theta=\sqrt{35}[/tex]

[tex]\cos \theta=-\dfrac{1}{6}[/tex]

We have the identity

[tex]\tan \theta=\dfrac{\sqrt{1-\cos^2\theta}}{\cos \theta}\\\Rightarrow \tan\theta=\dfrac{\sqrt{1-\left(-\dfrac{1}{6}\right)^2}}{-\dfrac{1}{6}}\\\Rightarrow \tan \theta=\dfrac{\sqrt{\dfrac{35}{36}}}{-\dfrac{1}{6}}\\\Rightarrow \tan\theta=\pm\sqrt{35}\times -1\\\Rightarrow \tan\theta=\pm\sqrt{35}[/tex]

The required value in quadrant three is [tex]\tan\theta=\sqrt{35}[/tex]

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The police received a report about a body found in the woods behind the local shopping center. The forensic investigator collected 5 different types of living insects on the man’s body. It’s important to stress that investigators found all 5 insects alive on the body at the same time. The insects were sent to the forensic entomology lab, where they were raised under similar conditions to those found around the dead body. The following chart describes the life cycles of each of the five different types of insects found on the dead body. How long has the man been dead? Justify your answer.
Day
Insect 1 2 3 4 5 6 7 8 9 10
Blowfly 1 1 1 1 1 1 1 1 1 0
Species A 0 0 0 0 1 1 1 1 1 1
Species B 0 0 0 0 0 0 1 1 1 0
Species C 0 0 0 0 0 0 0 0 1 1
Species D 0 0 0 0 0 1 1 1 1 1
Update:
The police received a report about a body found in the woods behind the local shopping center.? Forensic science
Update 2:
The police received a report about a body found in the woods behind the local shopping center. Forensic science question?

Answers

Answer:

The man has been dead for 9 days. This is because this is the only day on the chart where all the types of insects coexist.

Step-by-step explanation:

5 species of insects were found at the same time alive on the dead man's body.

These 5 insects are then sent to the lab to be studied and larvae/eggs from them, raised under similar conditions to the conditions of the dead body.

The activity the eggs are them studied and presented in the chart provided

Insect/Day 1 2 3 4 5 6 7 8 9 10

Blowfly 1 1 1 1 1 1 1 1 1 0

Species A 0 0 0 0 1 1 1 1 1 1

Species B 0 0 0 0 0 0 1 1 1 0

Species C 0 0 0 0 0 0 0 0 1 1

Species D 0 0 0 0 0 1 1 1 1 1

Note that 0 represents a non-activity on the part of the egg of the insect specie.

From the chart, the first time all 5 insects coexist together at the same time just like they were found in the dead body is on the 9th day. Before the 9th day, all 5 insects do not coexist at the same time and even beyond the 9th day, on the 10th day, insect specie B stops existing.

So, it is evident that the man has been dead for 9 days as that's the only day on the chart where all the types of insects coexist.

Hope this Helps!!!

What type of triangle is shown in the image?


Acute scalene triangle
Obtuse scalene triangle
Acute isosceles triangle
Right isosceles triangle

Answers

Answer:

acute isosceles

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

just cause

A person invested $880 in an account growing at a rate allowing the money to double every 6 years. How much money would be in the account after 13 years, to the nearest dollar?

Answers

Answer:

  $3,951

Step-by-step explanation:

The growth factor for t years is given as 2^(t/6). Then in 13 years, the account will be multiplied by ...

  2^(13/6) ≈ 4.489848

Its value will be ...

  $880·4.489848 ≈ $3,951

On Tuesday, Katy ran a mile in 8.34 minutes. She ran another mile in 7.89 minutes on Wednesday. What was the total time for both miles? Do not include units.

Answers

Answer:

16.23

Step-by-step explanation:

Add the times

Answer:

16.23 minutes

Step-by-step explanation:

Total time = sum of the two times

= 8.34 + 7.89

= 16.23 minutes

Which set of numbers shows all the factors of 18?
1.2.3.6. 9.18
1.3.6.18
9.18. 27. 36
18. 36, 54, 72, 90
My Progress >

Answers

Answer:

the first set of numbers

Step-by-step explanation:

the first set if numbers shows all the factors of 18

Write the equation of a line that is parallel to {x=8}x=8x, equals, 8 and that passes through the point {(-3,-2)}(−3,−2)left parenthesis, minus, 3, comma, minus, 2, right parenthesis.

Answers

Answer:

  x = -3

Step-by-step explanation:

The line parallel to x=8 is another vertical line:

  x = constant

To make it go through a point with an x-coordinate of -3, the constant must be -3.

Your line is ...

  x = -3

Answer:

x=-3

Step-by-step explanation:

khan

The circumference of a circle can be found using the formula c=2pie r. which is an equation solve for r?

Answers

Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border

Step-by-step explanation:c=2pie•r^2

Question 2 Allotted time: 15 minutes (plus 5 minutes to submit) A a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspon trees are not growing as large as they were in 1975. () Data colleted in 1975 indicate that the distribution of diameter for aspen trees in this park was approximately normal with a mean of a standard deviation of mches. Find the approximate probability that

Answers

Answer:

A park ranger at a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspen trees are not growing as large as they were in 1975. (a) Data collected in 1975 indicate that the distribution of diameter for aspen trees in this park was approximately normal with a mean of 8 inches and a standard deviation of 2.5 inches. Find the approximate probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches.

Step-by-step explanation:

Let X be a random variable which represents the diameters of aspan trees of a park in 1975.

Given that,  X ~ N(8, 2.52)

Mean (μ) = 8 inches

Standard deviation (σ) = 2.5 inches

We have to obtain P(X < 5.5 inches)

We know that if X ~ N(μ, σ²) then, X-M Z=1 ~ N(0,1)

P(X< 5.5) =    P( X- μ < 5.5 - μ)

                           σ         σ

P(X<5.5) = P(Z < 5.5 – 8  )

                               2.5

P(X<5.5) = P(Z < -1)

Using "pnorm" function of R we get, P(Z < -1) = 0.1587

:: P(X < 5.5) = 0.1587

The probability that a randomly selected Aspen  tree in the park in 1975 would have a diameter less than 5.5 inches is 0.1587.

Owners of a minor league baseball team believe that a Normal model is useful in projecting the number of fans who will attend home games. They use a mean of 8500 fans and a standard deviation of 1500 fans. Using this model, answer these questions. a. Sketch and clearly label this Normal model, based on the 68-95-99.7 Rule. b. What proportion of the home games will have fewer than 6000 fans in attendance

Answers

Answer:

a) [tex] \mu -\sigma = 8500 -1500 = 7000[/tex]

[tex] \mu +\sigma = 8500 +1500 =10000[/tex]

[tex] \mu -2*\sigma = 8500 -2*1500 = 5500[/tex]

[tex] \mu +2*\sigma = 8500 +2*1500 =11500[/tex]

[tex] \mu -3*\sigma = 8500 -3*1500 = 4000[/tex]

[tex] \mu +3*\sigma = 8500 +3*1500 =13000[/tex]

On the figure attached we have the illustration for required showing the percentages and the limits for each case

b) [tex] z= \frac{6000-8500}{1500}= -1.67[/tex]

And using the normal standard table or excel we got:

[tex] P(Z<-1.67) = 0.047[/tex]

Step-by-step explanation:

For this case we have the following properties:

[tex] \mu = 8500, \sigma = 1500[/tex]

Part a

And for this case from the empirical rule we know that within one deviation from the mean we have 68% of the values , within two deviation 95% and within 3 deviations 99.7%. So then we can find the limits like this:

[tex] \mu -\sigma = 8500 -1500 = 7000[/tex]

[tex] \mu +\sigma = 8500 +1500 =10000[/tex]

[tex] \mu -2*\sigma = 8500 -2*1500 = 5500[/tex]

[tex] \mu +2*\sigma = 8500 +2*1500 =11500[/tex]

[tex] \mu -3*\sigma = 8500 -3*1500 = 4000[/tex]

[tex] \mu +3*\sigma = 8500 +3*1500 =13000[/tex]

On the figure attached we have the illustration for required showing the percentages and the limits for each case

Part b

For this case we want to find this probability:

[tex] P(X<6000)[/tex]

We can calculate the number of deviation below the mean with the z score formula given by:

[tex] z = \frac{X -\mu}{\sigma}[/tex]

And replacing we got:

[tex] z= \frac{6000-8500}{1500}= -1.67[/tex]

And using the normal standard table or excel we got:

[tex] P(Z<-1.67) = 0.047[/tex]

Year
2006
2008
2010
2015
2018
Value ($)
450
418
255
385
300
1. Using linear regression, write an equation for the line of best
fit to represent the value of the card, y, in years since 2006, r.
Round to the nearest hundredth where necessary. Use your
equation to find the value of the card in 2030.​

Answers

Answer:

is there a picture

Step-by-step explanation:

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.Which equation represents x, the side length of the greater square?

Answers

Answer:

8 is the side length of the greater square.  100=x^2+(x-2)^2

Step-by-step explanation:

64+36=100

8 squared plus 6 squared equals 10 squared

8 is 2 more than 6

100=x^2 +y^2

x-y=2

100=x^2+(x-2)^2

A angle has late of 5 and 2 cm write the possible third number

Answers

Answer:

Maybe

Step-by-step explanation:

8 possibly could be a number

Which equations represent the line that is perpendicular to the line 5x – 2y = -6 and passes through the point (5. -4)? Select
three options.
0y = 2 X-2
2x + 5y = -10
2x - 5y = -10
my+4=} (x - 5)
By -4 = (x + 5)

Answers

Answer:

work is shown and pictured

x^2 + 1/2x +____ = 2 + ____

Answers

Answer:

  1/16, 1/16

Step-by-step explanation:

Perhaps you want to complete the square. You do that by adding the square of half the x-coefficient:

  ((1/2)/2)^2 = (1/4)^2 = 1/16

The number to complete the square is 1/16. It is added to both sides of the equation to give ...

  x^2 +1/2x +1/16 = 2 +1/16

_____

Written as a square, the equation is ...

  (x +1/4)^2 = 33/16

What are the Dursleys hoping will
happen this evening?
А
They will have a delicious
dinner.
B
They will impress the Masons.
C
They will run away to Spain.
They will start using magic.

Answers

Answer:

b

Step-by-step explanation:

solve for x. x+y = 14

Answers

Answer:

There is not enough information to specifically tell you the amount for x

Answer:x=14-y

Step-by-step explanation:

x+y=14

x=14-y

Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

A. p + q = b

D. p · q = c

Step-by-step explanation:

It's best to look at an example, such as this:

[tex]x^2 - 12x+ 35[/tex]

And it's factored form is:

(x - 5) (x - 7)

As you can see, if you add -5 (p) and -7 (q), you get -12 (b). Then, if you multiply -5 (p) and -7 (q), you get 35 (c).

Order the steps needed to simplify this expression

(3+1)^2-17•2+24/3+5

Simplify inside parentheses

Perform addition and subtraction left to right

Perform multiplication and division

Evaluate exponents

Answers

Answer:

Step 1

Step 4

Step 3

Step 2

Hence, the order of steps needed to simplify this expression is

Step 1

Step4

Step3

Step2

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given expression is

[tex](3+1)^2-17(2)+\frac{24}{3}+5[/tex]

Step 1:-

Simplify the parenthesis

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5[/tex]

Step 2:- Evaluate exponents

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5[/tex]

Step 3:-Perform multiplication and division

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5[/tex]

Step 4:- Perform addition and subtraction left to right

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5\\\\=29-24\\\\=5[/tex]

Hence, the order of steps needed to simplify this expression is

Step 1

Step4

Step3

Step2

To know more about the simplification

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What is the area of a equilateral triangle with an apothem of 4.9 ft and side length of 17 ft

Answers

Answer:

16

Step-by-step explanation:

is the the associated

The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10 p.m.


A histogram titled Cell Phone Calls has time of day on the x-axis and number of calls on the y-axis. From 10 to 12 pm there were 2 calls; from 12 to 2 pm there were 8 calls; from 2 to 4 pm there were 0 calls; from 4 to 6 pm there were 10 calls; from 6 to 8 pm there were 4 calls; from 8 to 10 pm there were 2 calls.

Which statement most reasonably explains the hours when zero calls were received?
Medera turned the phone off while playing in a soccer game.
Medera’s phone can only receive 22 calls a day.
Medera only receives calls in clusters.
Medera lost her phone for two hours.

Answers

Answer:

Its A. Medera turned the phone off while playing in the soccer game

Step-by-step explanation:

Answer:

It is A.Medera turned the phone off while playing in a soccer game.

Step-by-step explanation:

got a 100 on the test

guys i really need your help i have this awesome friend who is cool sometimes but she calls me names and pretends to like me bottom line is: is she really my friend


#cryingmyeyesoutrn

Answers

If she calls you name it isn’t very nice and If she pretends to like you than she ain’t a very good friend

Answer:

No. If your being treated like trash and are constantly being called names, talk to your parents or someone, they can help. It's up to you to decide. There are many websites with great advice.

Step-by-step explanation:

Emina took out a 5/1 variable-rate mortgage for $120,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
O
A. $102,164.09
B. $123,740.97
c. $110,579.39
D. $113,739.09

Answers

Answer:

$110,579.39 this is the right answer.

Why is it important to have high
quality audio files

Answers

Answer:

TO HEAR BETTER

Because as quality increases the tone increases

Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha
A
The graph by one unit
B)
The graph by five units
The equation by one unit
D)
The equation by five units

Answers

Answer:

A

Step-by-step explanation:

A bag contains four chips of different​ colors, including​ red, blue,​ green, and yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes​ (for example RB represents the outcome red chip followed by blue​ chip) and use your list to determine the probability that one blue chip and one yellow chip are selected.

Answers

Answer:

Check Explanation please.

Probability = 0.25.

Step-by-step explanation:

The Important thing to note here is that we have sixteen(16) different possible outcomes for this particular problem or question.

From the question above, we are given the following information or data: ''bag contains four chips of different​ colors, including​ red, blue,​ green, and yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random"

Hence, the sixteen (16) different possible outcomes are; RR, RB, BB, BR, RG, GR, GG, RY, YR, YY, BG, GB, BY, YB, GY, YG.

To calculate the probability we need to used the numbers of f different colors divided by the number big possible outcomes, that is; 4/16 = 0.25.

Probability that one blue chip and one yellow chip are  selected is 1/8

Given that a  bag contains four chips of different colors

The colors given are red , blue, green and yellow

A chip is selected at random from the bag and replaced in the bag

After that a second chip is selected at random.

In both the selections there is a equal probability of choosing any color chip at random

So  for the first chip the color can be either  blue , green red  or yellow.

Similarly for the second chip the color of the chosen chip can be either  blue , green , red or  yellow

We can make set of possible outcomes for the colors of chips in the first and the second draw

The number of possible outcomes are 16 in numbers

{ RR, RB, RG, RY. BR, BB, BG, BY, GR,GB, GG, GY, YR, YB, YG, YY}

Probability that one blue chip and one yellow chip are  selected is 1/8

Since there is only two such case.

For more information  please refer to the link given below

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Four different leadership styles used by Big-Six accountants were investigated. As part of a designed study, 15 accountants were randomly selected from each of the four leadership style groups (a total of 60 accountants). Each accountant was asked to rate the degree to which their subordinates performed substandard fieldwork on a 10-point scale—called the "substandard work scale". The objective is to compare the mean substandard work scales of the four leadership styles. The data on substandard work scales for all 60 observations were subjected to an analysis of variance.
Interpret the results of the ANOVA F test shown on the printout for a = 0.05.
a. At a = 05, there is insufficient evidence of differences among the substandard work scale means for the four leadership styles.
b. At a = .05, three is no evidence of differences among the substandard work scale means for the four leadership styles.
c. At a = .05, there is sufficient evidence of difference among at least two of the substandard work scale means for the four leadership styles.
d. None of the above.

Answers

Answer:

c. At a = .05, there is sufficient evidence of difference among at least two of the substandard work scale means for the four leadership styles.

Step-by-step explanation:

From the given output, df(Between)=3

df (Between) =k-1, where, k denotes number of groups. Therefore, k-1=3, k=4.

Thus the null hypothesis is as follows:

H0:mu1=mu2=mu3=mu4 (there is no difference in substandard work scale means for four leadership styles)

H1: At least one mean scale is different from another.

Per rule, reject H0, if p value corresponding to F test statistic is less than given level of significance, alpha=0.05.

Here, F(3, 56)=6.056, p<0.05 (the p value is 0.0012). Therefore, reject H0, and conclude that at least one substandard work scale mean of a leadership is significantly different from a substandard work scale mean of another leadership.

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