What is the complete factorization of the polynomial below?
x3 + x2 + 4x + 4
Answers
x = -1
x = 2
x = -2
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
Step by step solution :
Step 1 :
Checking for a perfect cube :
1.1 x3+x2-4x-4 is not a perfect cube
Trying to factor by pulling out :
1.2 Factoring: x3+x2-4x-4
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x3+x2
Group 2: -4x-4
Pull out from each group separately :
Group 1: (x+1) • (x2)
Group 2: (x+1) • (-4)
-------------------
Add up the two groups :
(x+1) • (x2-4)
Related Questions
Use the given diagram to answer the question.
Which line is the intersection of wo of the planes
shown
Which line intersects one of the planets
Tatou
Which line has points on three of the planes shown?
Answers
Answer:
Step-by-step explanation:
1)
Lines X and W intersect 2 planes, while line Y intersects 3 and linen Z and V intersect one plane,
So, answer is lines X and W (don't know about Y, since it intersects more than two planes)
2) Lines Z and V intersect only one of the planes (the other lines intersect more than one, so don't know about them)
3) Line Y has points in all three planes (the rest have in either 2 or one planes)
The line which is the intersection of wo of the planes shown is.
1) Lines X and W intersect 2 planes, while line Y intersects 3, and lines Z and V intersect one plane,
So, the answer is lines X and W (don't know about Y, since it intersects more than two planes)
The line which intersects one of the planets Tatou is.
2) Lines Z and V intersect only one of the planes (the other lines intersect more than once, so don't know about them)
The line which has points on three of the planes shown is.
3) Line Y has points in all three planes (the rest have in either 2 or one plane)
What are the basics of geometry?Basic geometric concepts are based on three basic concepts. They are a point, a line, and a plane. We cannot specify the terms. However, it does refer to a position mark and has a precise location.
Learn more about Geometry at https://brainly.com/question/20303542
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A physics test is normally distributed. The class average was 79.3, and the standard deviation was 7.5. What percent of students scored between a 68 and 86.8?
Answers
Answer:97.275% or 97.5%
Step-by-step explanation:
furniture maker used 1/2 of a can of paint to paint some chairs. She used 1/6 of a can of paint for each chair. How many chairs did she paint?
Answers
Answer:
3 chairs
Step-by-step explanation:
1/2 is the same as 3/6
There are three 1/6 in 3/6.
(3/6) ÷ (1/6) = 3
The requried, she painted 3 chairs as of the given proportion.
What is proportionality?Proportionality is the relationship between two or more sets of values, and it describes how these values are related to each other.
Here,
Let's assume that the number of chairs she painted is represented by the variable 'c'.
We know that she used 1/6 of a can of paint for each chair. So, the total amount of paint used for all the chairs can be expressed as:
1/6 x c = c/6
We also know that she used 1/2 of a can of paint in total. So we can set up the equation:
c/6 = 1/2
To solve for 'c', we can multiply both sides of the equation by 6:
c = 3
Therefore, she painted 3 chairs.
Learn more about proportionality here: https://brainly.com/question/22620356
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Rewrite using a negative exponent.
1/a ^4
Answers
Answer: a^-4
Step-by-step explanation:
[tex]\frac{1-4}{a^4-4}[/tex] = a^-4
Leah drives her truck 270KM in the same time Deborah drives her car 250KM. If Leah drives 4km/h faster than Deborah. What is each of their driving speeds?
Answers
Answer:
Leah: 54km/h
Deborah: 50 km/h
Step-by-step explanation:
250+4x=270
4x=20
x=5
both drove 5 hours
Deborah:
250/5=50km/h
Leah:
270/5=54km/h
If it is on sale for 20% OFF and the sale price is $68; what was the original price?
Answers
Answer:
85
Step-by-step explanation:
The discount is original price times the percent off
The sale price is the original price minus the discount
original price - original price * 20 % = 68
Factor out the original price and change the percent to a decimal
original price ( 1 - .20) = 68
original price ( .80) = 68
Divide each side by .80
original price = 68/.80
original price = 85
Answer:
$13.60
Step-by-step explanation:
($68 x 20%) / 100
1360 / 100 = 13.6
3. If f(x)=2x+3 then what is f(x+1)? Plzzz answer ASAP
Answers
Answer:
=2x+5
Step-by-step explanation:
f(x)=2x+3
Replace x with x+1
f(x+1)=2(x+1)+3
=2x+2+3
Combine like terms
=2x+5
find four rational numbers between 2/3 and 3/4
Answers
Answer:
17/24
Step-by-step explanation:
(a+b)÷2
a= 2÷3
b= 3÷4
=(2/3 + 3/4)÷2
=(8+9/12)÷2
=17/24
- Mrs. Ward found 80-ounce packages of hamburger on sale. If she needs to make
2 of each size hamburger, how many packages of meat will she need to buy?
Answers
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The Whispering Lakes Neighborhood Association is having a hamburger cookout. Each family can choose whether to order the hamburgers or bring their own. Use the information in the table to solve the number stories. Use drawings, tables, or equations to show what you did.
Mrs. Ward found 80-ounce packages of hamburger on sale. If she needs to make 2 of each size hamburger, how many packages of meat will she need to buy?
Answer:
The number of meat packages is
100/80 = 1.25 = 5/4
Assuming that the number of packages cannot be in fraction, then she would need at least 2 packages of meat.
Number of meat packages = 2
Step-by-step explanation:
Please refer to the attached table where we are given size of hamburgers and the weight of corresponding hamburger patty in pounds.
small = 1/8 lb
medium = 1/4 lb
large = 1/2 lb
jumbo = 3/4 lb
king of burgers = 1 1/2 lb = 3/2 lb
To make 1 of each hamburger we need
Total weight of patty = 1/8 + 1/4 + 1/2 + 3/4 + 3/2
Total weight of patty = 25/8 = 3.125 lb
But she needs to make 2 of each size hamburger so,
Total weight of patty = (25/8)×2 = 25/4 = 6.25 lb
Mrs. Ward found 80-ounce packages of hamburger on sale
first we have to convert pounds into ounces
We know that 1 pound has 16 ounces
6.25×16 = 100 ounces
So the number of meat packages required is
100/80 = 1.25 = 5/4
Assuming that the number of packages cannot be in fraction, then she would need at least 2 packages of meat.
Number of meat packages = 2
A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities. [4×5 marks] A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities.
a) Exactly 2 are defectives.
b) None is defective.
c) All are defective.
d) At least 1 is defective.
Answers
Answer:
a) 10.73%
b) 45.60%
c) 0.0094%
d) 54.4%
Step-by-step explanation:
The probability of one transistor being defective is equal the number of defective transistors over the total number of transistors
a)
The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. The probability of the third one being not defective is 20/22, and the fourth one not being defective is 19/21. We also multiply the final probability by a combination of 4 choose 2, because the defective transistors can be any 2 of the group of 4:
C(4,2) = 4! / (2! * 2!) = 6
P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%
b)
Similar to the letter a), we have:
First one not defective: P = 20/24
Second one not defective: P = 19/23
Third one not defective: P = 18/22
Fourth one not defective: P = 17/21
P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%
c)
First one defective: P = 4/24
Second one defective: P = 3/23
Third one defective: P = 2/22
Fourth one defective: P = 1/21
P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%
d)
If we want at least 1 defective, we just need to subtract 100% from the case where all 4 are not defective:
P = 1 - 0.4560 = 0.5440 = 54.4%
In this exercise we have to use the knowledge of probability to calculate each of the requested probabilities, so we can say that:
a) [tex]10.73\%[/tex]
b) [tex]45.60\%[/tex]
c) [tex]0.0094\%[/tex]
d) [tex]54.4\%[/tex]
a)The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. So the combination will be:
[tex]C(4,2) = 4! / (2! * 2!) = 6\\P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%[/tex]
b)So find the not defective, we have:
First one: P = 20/24 Second one: P = 19/23 Third one: P = 18/22 Fourth one: P = 17/21
[tex]P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%[/tex]
c)So find the defective, we have:
First one: P = 4/24 Second one: P = 3/23 Third one: P = 2/22 Fourth one: P = 1/21
[tex]P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%[/tex]
d)We just need to subtract 100% from the case where all 4 are not defective:
[tex]P = 1 - 0.4560 = 0.5440 = 54.4%[/tex]
See more about probability at brainly.com/question/743546
what is the square root of 345 to the 9th power
Answers
Answer:
[tex](\sqrt[2]{32})^{9}[/tex]=5931641.60152
Step-by-step explanation:
:)
can anyone help me plz and I need the person to explain it for me
Answers
Answer:
1 cm = 100 mi
28.9/1=28.9
28.9 x 100 = 2890 miles distance
2890 / 65 miles per hour = 44.4615 hours to drive
44.461/24 hours in a day = 1.85 rounded up is 2 days
About two days
If you have any questions you can ask
Step-by-step explanation:
Answer:
a) 2900
b) about 44 hours
2 days
Step-by-step explanation:
Eva can type 320 words in 4 minutes. How many words per minute can Eva type?
words per minute
Answers
Answer:
80 words per minute
Step-by-step explanation:
320/4
80 wpm
Answer:80 wpm
Step-by-step explanation:
Divide 320 by 4.
That should give you 80.
Hope i helped :)))
At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which word in the problem indicates that a negative integer should be used? change each decreased drastically
Answers
Answer:
Decreased.
Step-by-step explanation:
Decrease means to go down or take away, therefore in a mathematical equation, it would be represented by a negative integer.
Change could be positive or negative
each is a singular description word
and drastically is just describing how fast.
have a good day!
Answer:
decreased :^)
Step-by-step explanation:
A sprinter travels a distance of 300 m in a time of 28.22 seconds. What is the sprinter's average speed rounded to 4 sf?
Answers
Answer:
[tex]10.6 \: m/s[/tex]
Step-by-step explanation:
Average speed = distance covered divided by the time taken.
[tex]S=\frac{d}{t}[/tex]
[tex]\frac{300}{28.22}[/tex]
[tex]=10.63075[/tex]
Answer:
10.63m/s
Step-by-step explanation:
distance traveled=s=300m
time taken=t=28.22s
average speed=v=?
average speed=[tex]\frac{distance covered}{time taken}[/tex]
average speed=[tex]\frac{300m}{28.22s}[/tex]
average speed=10.63075m/s
now in the question it is said that round to 4 significant figures so will write only first four digits
average speed=10.63m/s
The Figure below shows a rectangular prism and a cube:
How many such cubes are required to completely pack the prism without any gap or overlap?
A. 288
B. 576
C. 1,152
D. 1,636
Answers
What is the median of the data displayed in the box and whisker plot?
Answers
Answer:
The median is the middle number in a you box/whisker plot. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values
Step-by-step explanation:
The median is "the middle number" in short...
ex: 1,5,8,9,8648
the middle number would be 8
Brainliest plz
Answer:
median is where the middle line in the box is
Step-by-step explanation:
A red bus and a yellow bus are both driving on the same road, in the same direction They start driving from the same place and are traveling at a constant speed. The red bust started driving 0.5 hours after the yellow bus started driving. If the red bus drives 50 miles per hour and the yellow bus drives 40 miles per hour, how many miles will each bus have to traveled when the red bus catches up to the yellow bus?
Answers
Answer:
100 miles
Step-by-step explanation:
lets find out how much the yellow bus drove before red bus started
40*0.5=20
20 miles
50x=40x+20
10x=20
x=2
they traveled for two hours until red bus caught up with yellow bus
yellow:
2*40+20=80+20=100 miles
red:
2*50=100 miles
determine the value of x in the diagram with explanation plz
Answers
You’ve got x and 2x so if you add them all up, you’ll get 6x
You do 360 divide by 6.
Which will get you 60
X = 60
if F(x)=2x^2-5 and g(x)=3x+3, find (f-g)(x)
A.2x^2-3x-8
B.-x^2-8
C.3x-2x^2-2
D.2x^2-3x-2
Answers
Answer:
work is pictured and shown
Evaluate 5 ÷ 4/6 Give your answer as a mixed number in its simplest form.
Answers
Answer:
15/2
Step-by-step explanation:
5*6/4=30/4=15/2
Answer: 7 1/2
Step-by-step explanation:
5 ÷ 4/6 = 7.5
7.5 as a mixed number is 7 1/2
7 1/2 simplified is 7 1/2
I NEED HELP PLEASE 30 points
Select the correct paint
One linear equation is defined by the points (2, 4) and (1, 1), while the other is defined by the points (2.-2) and (-5). Which point represents
the solution to this system of equations?
Answers
Hope this helps
x-y+z for x= 1,y=6,z=1
Answers
Answer:
-4
Step-by-step explanation:
1-6+1=-4
Answer:
The answer is (2, -1, 3)
Step-by-step explanation:
Hope this helped.
Solve the following equations using algebraic operations ( 4x-1=2x+11)
Answers
Answer:
x = 6
Step-by-step explanation:
4x-1=2x+11
Subtract 2x from each side
4x-2x-1=2x-2x+11
2x-1 =11
Add 1 to each side
2x-1+1 = 11+1
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
Based on the graphic, which three-dimensional figure has the greatest volume?
A) the cylinder
B) the rectangular prism
C) the oblique rectangular prism
D) all three have the same volume
Answers
What is the answer to this 8-(-8)=
Answers
Answer:
16
Step-by-step explanation:
the two negatives cancel out so if you are subtracting -8 from 8 you would actually end up adding them.
hope it helps!
Answer:
16
Step-by-step explanation:
personally I learned that when I see " -(- " in a equation it just means addition.
Which transformation does not match blue figure to the red flag
Answers
Answer:
the second one trust me
Step-by-step explanation:
Describe the cross section.
Answers
Answer: D. Square
The cross section is shown as the shaded region. There are four sides to the shaded figure, so the cross section is a quadrilateral. This rules out choice C. We can also cross choice B off the list because cross sections of 3D figures are 2 dimensional.
Choice A is ruled out as well because we have both pairs of opposite sides that are parallel. The only thing left is choice D. This is true assuming we have a square prism. Any cube is a square prism that has its height equal to the width and length.
Help me please !!!!!!!!!
Answers
Answer:
756.5 =x
Step-by-step explanation:
To find the perimeter of a rectangle
P = 2 (l+w)
4533 = 2 ( x+3 + 2x-6)
Combine like terms
4533 = 2 ( 3x -3)
Distribute
4533 = 6x -6
Add 6 to each side
4533+6 = 6x
4539 = 6x
Divide by 6
4539/6 =x
756.5 =x
Which algebraic expression represents the phrase "four times a number"?
4 + c
C-4
4-0
4c
Answers
Answer:
4c
Step-by-step explanation:
it pretty much means 4*c
Answer:
= 4c
Step-by-step explanation:
4×(c) . I hope it helps
