x-1/x^2 - x - 20 Give the equivalent numerator if the denominator is (X - 5)(x + 4)(x + 3)
x^2 + 2x + 3
x^2 + 2x - 3
x^2-3​

Answers

Answer 1

Answer:

[tex]x^2+2x-3[/tex]

Step-by-step explanation:

Note that [tex]x^2-x-20=(x-5)(x+4)[/tex], so, if the denominator is [tex](x-5)(x+4)(x+3)[/tex], we need to multiply the numerator by [tex](x+3)[/tex]. And [tex](x-1)(x+3)=x^2+2x-3[/tex].


Related Questions

Jack Lawler, a financial analyst, wants to prepare an article on the Shadow Stock portfolio developed by the American Association of Individual Investors (AAII). A list of the 30 companies in the Shadow Stock portfolio as of March is contained in the Excel Online file below. Use the spreadsheet to answer the following questions.

Jack would like to select a simple random sample of 5 of these companies for an interview concerning management practices.

a. The Shadow Stock companies are listed in column A of the Excel worksheet provided above. In column B we have generated a random number for each of the companies. Use these random numbers to select a simple random sample of 5 of these companies for Jack by finding the smallest random number, the second smallest random number, etc. in column B using an Excel function.

The random numbers corresponding to the first 5 companies selected are (to 5 decimal places):

First company (smallest random number) ____

Second company (2nd smallest random number) ____

Third company (3rd smallest random number) _____

Fourth company (4th smallest random number) _____

Fifth company (5th smallest random number)______

0.15106
0.78664
0.46736
0.31288
0.05743
0.96845
0.70824
0.43701
0.68709
0.49262
0.69531
0.04123
0.51061
0.23796
0.92181
0.91875
0.97469
0.78824
0.30299
0.61512
0.83291
0.05894
0.76809
0.85076
0.61597
0.42998
0.92434
0.36411
0.72285
0.29854

Answers

Last one of the first one try the last one first

Pls help I’ll brainlest ASAP

Answers

Answer:

-9

Step-by-step explanation:

-6 Divided By 2/3 = -9

2/3 multiplied by -9 = -6

Your  answer will be z = -6/3 or -9

If its wrong I tried-

In which areas did Franklin Roosevelt’s programs increase the power and role of the federal government?

the economy of the U.S. and of other countries

government ownership of business and industry

the lives of citizens and religious organizations

the economy and the lives of citizens

Answers

Answer:(1) reduce border conflicts with Canada

(2) increase acceptance of minorities within the

United States

(3) encourage Germany and the Soviet Union to

resolve their differences

(4) improve relations with Latin America

Step-by-step explanation:

think its B good luck

Roger is 71.5 inches tall. How many centimeters tall is she?
1 inch = 2.54 cm
Do not use a label - just numbers.

Answers

Answer:

181.61 centemeters

Step-by-step explanation:

Answer:

181.61

Step-by-step explanation:

Make a proportion:

1 inch = 2,54 cm

71,5 inches = x cm

x = 71,5 * 2,54 = 181,61 cm

PLEASE HELP QUICKK!!

Suppose (-7, -3) is reflected across the x-axis, and then the y-axis. what will be the new coordinates?

Answers

Answer:

C (7, -3)

Step-by-step explanation:

Reflecting on x causes the x value to change signs, then again on y changes the y value's sign.

Answer:

B

Step-by-step explanation:

-7 is the x and -3 is the y so flip would be (-7,3)

Which part of a flower grows into the fruit?

the stigma
the anther
the ovule
the ovary

Answers

Answer:

ovary

Step-by-step explanation:

What is the volume of the triangular prism below?
7 yd
18 yd
12 yd

Answers

Step-by-step explanation:

V = 1/2 a x c x h

1/2 * 7*12*18 = 756 yd ^3

Help please!!! Find x and Y

Answers

Answer:

x = 40

y = 15

Step-by-step explanation:

Given is an equilateral triangle.

Measure of each angle of an equilateral triangle is 60°.

Therefore,

(x + 20)° = 60°

x + 20 = 60

x = 60 - 20

x = 40

4y = 60

y = 60/4

y = 15


The side lengths of a triangle are (5x + 1), (6x - 10), and (6x + 2). Write an expression in simplest
form fok the perimeter of the triangle.
A. 17x - 7
В. 17x+13
C. 10x
D. 30x

Answers

Answer:

A

Step-by-step explanation:

so the perimeter is the sum of all the sides which would be

(5x+1)+(6x-10)+(6x+2)

= 5x+1+6x-10+6x+2

=17x-7

which is A

if my answer helps please mark as brainliest.

Need help finding angle A,B,C,D!!

Answers

I would double check but I believe that a=102. b=78. c=64 and d=116.
Keep in mind that a line=180 degrees. I hope this helps.

–9x + 9y = 9
y = –7

(
,
)

Answers

Answer:

x=-8

(-8,-7)

Step-by-step explanation:

–9x + 9y = 9

–9x + 9(-7) = 9 (y=-7)

-9x-63=9

Both side +63

-9x=63+9

-9x=72

Both side divide   -9

x=-8

y=-7

(-8,-7)

Which expression has the same value as -4(5 - x)?
A. -4.5 + 4.x
B. -4.5 - 4.x
C. (-4 + 5).(-4 + ( - x))
D. (4 - 5)(-4 - x)

Answers

None of these is correct.
-4(5-x)
= (-4•5) + (-4•-x)
= -20 + 4x
= 4x-20
None of them have the same value

Classify each pair of numbered angles as corresponding, alternate interior, alternate exterior, or none of these.
Drag and drop the choices into the boxes to correctly complete the table.

Answers

Check the attachment below, it's self explanatory.

What is the area? Write your answer as a fraction or as a whole or mixed number. 1 m square meters​

Answers

Answer:

The Area is all the space inside a given shape/object added together. The (assumed) Area of the problem you've given is 1 square m, since there is only 1 square m.

Step-by-step explanation:

your height is 5ft 2 in btw i will give brainliest

Answers

Answer:

about 6

Step-by-step explanation:

a shadow is long so it kind of depends on where the sun is but what the shadow is casting off of is no actually that tall

About 6 I think this is right

Which is greater 1/4 or .25

Answers

Answer:

they are both the same equal

Step-by-step explanation:

can i get brainliest

They are both the same because 1/4 is 0.25 in fraction form and 0.25 is 1/4 in decimal form.

Notes:
A Percent is the____
of a number to 100. Percents can be expressed _____
with a denominator of 100.
as

Answers

Answer:

1. RATIO

2. ONLY

I Hope This Helps You.

The length of a rectangular rug is 4 less than twice its width. The perimeter of the rug is 40 feet. What is the area of the rug?
1) 96 sq ft
2) 56 sq ft
3) 104 sq ft
4) 86 sq ft

Answers

96 sq ft is the answer— here’s my work btw

Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.

ANSWER FAST PLEASE

Answers

Answer:

x=2

Step-by-step explanation:

It's 18+ 3x = 24 and (3.6) + (3.x) = 24

Justin says that the value of the expression is 450. How did he get that answer?
8+13+4×1/3(27÷1/2).

Answers

The answer is 93!!!!

Which system has no solution? A b c d

Answers

System B has no solution.

What is the area of the triangle below?
8 in.
17 in.

Answers

Answer:

68

Step-by-step explanation:

Answer:

68 In

8*17- now, this would give you the area of a rectangle or square. but, since this is half of a rectangle or square, you divide that answer in half, giving you your final answer of 68 square inches as the area

Step-by-step explanation:

Solve for x.
x² = 9

x=±3

x=±4.5

x=±18

x=±81

Answers

I pretty sure x equals 3

ASAP PLS HELP MARKING BRAINLIEST WITH POINTS PLSSSS

Answers

The shirts would cost $10 and the jeans would cost $16 each.
10 for shirts 16 for pants

If a figure is dilated by a factor of 1.5, the area of the figure will change by a factor of

Answers

Answer:

The figure will change by a factor of 2.25.

Step-by-step explanation:

When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.

the area of the figure will change by a factor of 2.25

The manager of a music store has kept records of
The manager of a music store has kept records of the number of CDs bought in a single transaction by customers who make a purchase at the store. The accompanying table gives six possible outcomes and the estimated probability associated with each of these outcomes for the chance experiment that consists of observing the number of CDs purchased by a randomly selected customer at the store.
Number of CDs purchased 1 2 3 4 5 6 or more
Estimated probability 0.30 0.25 0.20 0.15 0.05 0.05
(a) What is the estimated probability that the next customer purchases three or fewer CDs?
(b) What is the estimated probability that the next customer purchases at most three CDs?
How does this compare to the probability computed in part (a)?
greater than part (a)less than part (a) the same as part (a)
(c) What is the estimated probability that the next customer purchases five or more CDs?
(d) What is the estimated probability that the next customer purchases one or two CDs?
(e) What is the estimated probability that the next customer purchases more than two CDs?

Answers

Answer:

(a) [tex]P(x\le 3) = 0.75[/tex]

(b) [tex]P(x\le 3) = 0.75[/tex]

(b) is the same as (a)

(c) [tex]P(x \ge 5) = 0.10[/tex]

(d) [tex]P(x = 1\ or\ 2) = 0.55[/tex]

(e) [tex]P(x > 2) = 0.45[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccc}{CDs} & {1} & {2} & {3} & {4} & {5} & {6\ or\ more}\ \\ {Prob} & {0.30} & {0.25} & {0.20} & {0.15} & {0.05} & {0.05}\ \ \end{array}[/tex]

Solving (a): Probability of 3 or fewer CDs

Here, we consider:

[tex]\begin{array}{cccc}{CDs} & {1} & {2} & {3} \ \\ {Prob} & {0.30} & {0.25} & {0.20} \ \ \end{array}[/tex]

This probability is calculated as:

[tex]P(x\le 3) = P(1) + P(2) + P(3)[/tex]

This gives:

[tex]P(x\le 3) = 0.30 + 0.25 + 0.20[/tex]

[tex]P(x\le 3) = 0.75[/tex]

Solving (b): Probability of at most 3 CDs

Here, we consider:

[tex]\begin{array}{cccc}{CDs} & {1} & {2} & {3} \ \\ {Prob} & {0.30} & {0.25} & {0.20} \ \ \end{array}[/tex]

This probability is calculated as:

[tex]P(x\le 3) = P(1) + P(2) + P(3)[/tex]

This gives:

[tex]P(x\le 3) = 0.30 + 0.25 + 0.20[/tex]

[tex]P(x\le 3) = 0.75[/tex]

(b) is the same as (a)

Solving (c): Probability of 5 or more CDs

Here, we consider:

[tex]\begin{array}{ccc}{CDs} & {5} & {6\ or\ more}\ \\ {Prob} & {0.05} & {0.05}\ \ \end{array}[/tex]

This probability is calculated as:

[tex]P(x \ge 5) = P(5) + P(6\ or\ more)[/tex]

This gives:

[tex]P(x\ge 5) = 0.05 + 0.05[/tex]

[tex]P(x \ge 5) = 0.10[/tex]

Solving (d): Probability of 1 or 2 CDs

Here, we consider:

[tex]\begin{array}{ccc}{CDs} & {1} & {2} \ \\ {Prob} & {0.30} & {0.25} \ \ \end{array}[/tex]

This probability is calculated as:

[tex]P(x = 1\ or\ 2) = P(1) + P(2)[/tex]

This gives:

[tex]P(x = 1\ or\ 2) = 0.30 + 0.25[/tex]

[tex]P(x = 1\ or\ 2) = 0.55[/tex]

Solving (e): Probability of more than 2 CDs

Here, we consider:

[tex]\begin{array}{ccccc}{CDs} & {3} & {4} & {5} & {6\ or\ more}\ \\ {Prob} & {0.20} & {0.15} & {0.05} & {0.05}\ \ \end{array}[/tex]

This probability is calculated as:

[tex]P(x > 2) = P(3) + P(4) + P(5) + P(6\ or\ more)[/tex]

This gives:

[tex]P(x > 2) = 0.20+ 0.15 + 0.05 + 0.05[/tex]

[tex]P(x > 2) = 0.45[/tex]

Suppose that 3\%3%3, percent of over 200{,}000200,000200, comma, 000 books borrowed from a library in a year are downloaded. The librarians plan to take an SRS of 757575 books from the population of borrowed books to see what proportion of books sampled are downloaded. What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books

Answers

Answer:

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

3% of books borrowed from a library in a year are downloaded.

This means that [tex]p = 0.03[/tex]

SRS of 75 books.

This means that [tex]n = 75[/tex]

What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books

By the Central Limit Theorem

Mean: [tex]\mu = p = 0.03[/tex]

Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.03*0.97}{75}} = 0.0197[/tex]

The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.

24 divided by 2 times 5 then square foot of it

Answers

Answer:

7.75

Step-by-step explanation:

sq rt of (24/2)(5) = sq rt of 60 = 7.75

Answer:

7.75 rounded

Step-by-step explanation:

24 / 2 = 12

12 * 5 = 60

7.7459

rounded its 7.75

Select the correct equation and correct answer to
solve for x using the triangle below.
Q
L
K
2x - 15
R
Р P.
2x - 8

Answers

Answer:

11

Step-by-step explanation:

LK = 1/2RP

theorem: straight line joining the midpoints of two sides of a triangle is parallel to the third side and equal to half the length of the third side.

LK = 2x - 15 ; RP = 2x - 8

2x - 15 = 1/2(2x - 8)

2x - 15 = 2x - 8/2

2x - 15 = x - 4

Collect like terms and simplify

x = 11

x + 2 2/1=10
HELPPPPPPP!!!!!!!!!!!!!!!!!

Answers

Answer:

x+4=10x=6 Give brainlist
Other Questions
Select the correct text in the passage. Identify the text from the Declaration that sets out principles that were already recognized to be self-evident by most 18th-century Englishmen.A- When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of earthB- We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty, and the pursuit of Happiness. C- Prudence, indeed, will dictate that Governments long established should not be changed for light and transient causes; and accordingly all experience hath shewn, that mankind are more disposed to suffer, which evils are sufferable, than to right themselves by abolishing the forms to which they are accustomed. D- Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over these States. need help please show your work find the missing angles of triangles Find the angle between the given vectors to the nearest tenth of a degree.u = 6, -1, v = 7, -4 20.3 10.2 0.2 30.3 How do you solve this? i need help on this i have an important test due rn mr. Kido purchased 5footballs for hisphysicd educationclass. If he paid$41.25. how much waseach football?Help!! What is the interest earned on $3,000 at a rate of 0.04 for 3 years? (Hint: Use the formula i = prt , where i represents the interest earned, p represents the principal, r represents the rate, and t represents the time.)$3,360$3,003.04$360$120 Im confused can you help me with each question 80% of all households have a rice cooker. 35% of all households have a rice cookers and an instant pot. What is the probability that a household has an instant pot given that it has a rice cooker? What is the range of the function represented by the graph? On a coordinate plane, points are at (0, 1), (1, 2), (2, 3), (3, 4).{0, 1, 2, 3}{1, 2, 3, 4}1 less-than-or-equal-to y less-than-or-equal-to 40 less-than-or-equal-to x less-than-or-equal-to 3 what is another name for intercept form?- standard form- distributive form-factored form-slope form Why is marbury v. Madison considered a landmark Supreme Court case The local government decides that a park is needed for area kids to play in. They decide that the land that is needed is on Marias property. They decide to take Marias property and do not Which rights were violated and how? Help meee 50 points explain ALL OF IT if you really do it ill give you 200 points pls Choose the three priority healthy lifestyle choices that are important in helping you prevent disease, get and remain fit, and enjoy a good quality of life.Question 6 options:HeredityEffective Stress ManagementRegular Physical ActivitySound NutritionAffordable Health Care help pleasee !!!!!!!! What does the word particular mean in this sentence from paragraph 1 of the passage? In the story, a very particular little girl slips into an empty house looking for the perfect bowl of porridge.A. specificB. unusualC. specialD. choosy On the map of Eastern Asia, what is the capital of the starred country? The width of a rectangle is the length minus 3 units.The area of the rectangle is 10 units. What is the width, in units, of the rectangle? PLEASE HELP WILL MARK AS BRAINLIEST ___________ were carvings of ancient writing that told the future *ornament sticksoracle bonesZhou Dynastyterra cotta