Answers
Answer:
3(x+2)/(2(x+4))
Step-by-step explanation:
A compound fraction is simplified by rewriting it as a simple fraction, and reducing it to lowest terms by cancelling common factors from numerator and denominator. The division of one fraction by another is accomplished in the usual way: multiply the numerator by the inverse of the denominator.
__
[tex]\dfrac{\left(\dfrac{6x^2-24}{x^2+7x+12}\right)}{\left(\dfrac{4x^2-4x-8}{x^2+4x+3}\right)}=\left(\dfrac{6x^2-24}{x^2+7x+12}\right)\times\left(\dfrac{x^2+4x+3}{4x^2-4x-8}\right)\\\\=\dfrac{6(x-2)(x+2)}{(x+3)(x+4)}\times\dfrac{(x+1)(x+3)}{4(x-2)(x+1)}=\dfrac{3(x-2)(x+1)(x+2)(x+3)}{2(x-2)(x+1)(x+3)(x+4)}\\\\=\boxed{\dfrac{3(x+2)}{2(x+4)}}[/tex]
Related Questions
What is the solution to 4|x – 6| ≤ 16?
x ≤ 2 or x ≥ 10
2 ≤ x ≤ 10
–10 ≤ x ≤ 2
x ≤ –10 or x ≥ 2
Answers
Answer:
2 ≤ x ≤ 10
Step-by-step explanation:
4|x – 6| ≤ 16
|x – 6| ≤ 4
-4 ≤ x – 6 ≤ 4
2 ≤ x ≤ 10
The solution to 4|x – 6| ≤ 16 is 2 ≤ x ≤ 10
What are polynomials?
A polynomial expression is an expression that can be built from constants and symbols.
Polynomials are algebraic expressions that comprise exponents which can be added, subtracted, or multiplied. Polynomials are of different types. Monomial- Linear equations (A monomial is a polynomial with one term)Binomia l- quadratic equation (A binomial is a polynomial with two, unlike terms).
calculation:-
⇒4|x – 6| ≤ 16
⇒|x – 6| ≤ 4
⇒-4 ≤ x – 6 ≤ 4
⇒2≤ x ≤ 10
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what is the similarities and the difference between quadratic using square root and quadratic using formula?
Answers
My explanation is that a quadratic equation is a set of terms of the form (in general): ax2+bx+c=0. A quadratic function is one where the right-hand constant (call it f) is allowed to vary with x, thus giving: f(x)=ax2+bc+c.
Natasha is a regional manager for a chain of supermarkets. she has been tasked with researching the weekly sales records of two branch locations over the past month, which she must present to her board of directors. she was able to assemble the relevant information in the table below, but it is scrambled and hard to read. sales are listed in thousands of dollars. week 4 1 1 3 4 2 3 2 sales 16.3 17.8 23.1 15.2 20.2 23.4 22.9 17.6 branch north south north south south north north south in order to make the data more readable, natasha has decided to put it into a graph. which of the following graphs accurately matches the information in the table? i.a bar graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, from 15 to 23. week 1 north, 23.1; week 2 north, 23.4; week 3 north, 22.9; week 4 north, 16.3. week 1 south, 17.8; week 2 south, 17.6; week 3 south, 15.2; week 4 south, 20.2. ii. a line graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, going from 15 to 23. iii.a graph has week on the x-axis and sales (dollars times 1,000) on the y-axis, going from 15 to 23. points are plotted all over the graph. iv. a pie chart titled sales (dollars times 1,000). north 1, 16.3; north 2, 17.8; north 3, 23.1; north 4, 15.2; south 1, 20.2; south 2, 23.4; south 3, 22.9; south 4, 17.6. a. i b. ii c. iii d. iv
Answers
The graph which accurately matches Natasha's data for the chain of supermarkets is a bar graph.
How to read the data from the table?A table is a way to represent the data of two or more variables.
To read the data from the table look for the value of one variable, and get the resultant value of another variable from the corresponding block.
Natasha was able to assemble the relevant information in the table below,
Sales are listed in thousands of dollars.
Week - 4 1 1 3 4 2 3 2
Sales- 16.3 17.8 23.1 15.2 20.2 23.4 22.9 17.6
Branch- North South North South South North North South
To show the sales with respect to the time period, the best data chart is the bar graph. In a bar graph, the height of the bars is proportional to the data value it possesses.
Here, for the sales by the Natasha the bar graph should be used as, the bar graph has a week on the x-axis and sales (dollars times 1,000) on the y-axis, from 15 to 23.
Week 1 North, 23. 1; week 2 north, 23. 4; week 3 north, 22. 9; week 4 north, 16. 3. Week 1 south, 17. 8; week 2 south, 17. 6; week 3 south, 15. 2; week 4 south, 20. 2.
Hence, the graph which accurately matches Natasha's data for the chain of supermarkets is the bar graph.
Learn more about the data table here;
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Suppose a normal distribution has a mean of 98 and a standard deviation of
6. What is P(x s 110)?
A. 0.975
B. 0.84
O C. 0.025
OD. 0.16
Answers
The probability (x s 110) is 0.975, the correct option is A.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
We are given that;
Mean=98
Now,
To find the probability that x is less than or equal to 110 for a normal distribution with mean 98 and standard deviation 6, we need to use the standard normal table or a calculator.
Using the standard normal table, we first need to convert x to a z-score using the formula:
z = (x - mean) / standard deviation
Plugging in x = 110, mean = 98 and standard deviation = 6, we get:
z = (110 - 98) / 6
z = 2
This means that x = 110 is equivalent to z = 2 on the standard normal distribution.
Now we look up the value of z = 2 on the table and find that it corresponds to an area of 0.9772. This means that P(z ≤ 2) = 0.9772.
However, this is not the answer we want. We want P(x ≤ 110), which is the same as P(z ≤ 2). The table gives us the area to the left of z, but we need to subtract it from 1 to get the area to the right of z. This is because P(x ≤ 110) = P(z ≤ 2) + P(z > 2) = 1.
Therefore,
P(x ≤ 110) = P(z ≤ 2)
P(x ≤ 110) = 1 - P(z > 2)
P(x ≤ 110) = 1 - (1 - P(z ≤ 2))
P(x ≤ 110) = P(z ≤ 2)
P(x ≤ 110) ≈0.9772
Therefore, by the given mean the answer will be 0.975.
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o Watch help video
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Given that f(x) = x2 - 6x + 8 and g(x) = X – 2, find (fºg)(x) and express
the result in standard form.
Answers
Answer: [tex]x^{2} -7x+10[/tex]
Explanation:
Get the result ⇒ [tex]f(x)-g(x)=(x^{2} -6x+8)-(x-2)[/tex]
Remove the parentheses ⇒ [tex]x^{2} -6x+8-x+2[/tex]
Reorder and gather like terms ⇒ [tex]x^{2} +(-6x-x)(8+2)[/tex]
Collect the coefficients for the like terms ⇒ [tex]x^{2} +(-6-1)*x+(8+2)[/tex]
Calculate the sum or difference ⇒ [tex]x^{2} -7x+(8+2)[/tex]
Calculate the sum or difference ⇒ [tex]x^{2} -7x+10[/tex]
Convert to required form ⇒ [tex]x^{2} -7x+10[/tex]
Answer ⇒ [tex]x^{2} -7x+10[/tex]
Which situation does NOT yield variability?
Select one:
How many days are in a leap year?
How many siblings does each person in your class have?
How many miles do you travel in your car each day?
Answers
Options A and B situation does NOT yield variability that is A. How many days are in a leap year? B. How many siblings does each person in your class have?
What is statistical data?Statistics deals with the study of variability. The statement is said to be statistical if there would be variability in that data.
A. How many days are in a leap year?
This situation does NOT yield variability because the question is answered by a single value. It does not need any collecting data that vary.
B. How many siblings does each person in your class have?
This situation does NOT yield variability because the question is answered by a single value. It does not need any collecting data that vary.
C. How many miles do you travel in your car each day?
This situation yield variability because the question is answered by collecting data.
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Round 5.78575184279 to the nearest whole number.
Answers
Answer:
6
Step-by-step explanation:
5.7 is already immediately 6 because if a number after the whole number is 5 or more you round up.
6
Step-by-step explanation:
what expression is equivalent to 2x+9-x+3? show your answer is correct by substituting a value for x.
Answers
Answer:
Step-by-step explanation:
Given
2x + 9 - x + 3
What's equivalent
Solution
2x - x + 9 + 3 The terms have been rearranged. Combine
x + 12
Test.
x = 5
2(5) + 9 - 5 + 3
10 + 9 - 5 + 3
19 - 5 + 3
14 + 3
17
x + 12
5 + 12 = 17
Rectangle A'B'C'D' was created by dilation Rectangle ABCD using D as the center of dilation.
What is the scale factor of the dilation?
Based on the scale factor, how many copies of ABCD, including the original, should fit inside A'B'C'D?
Answers
In Rectangle , 16 copies of ABCD fit inside A'B'C'D'.
What is a rectangle, exactly?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
DA = 3
D'A' = 12
Scale factor DA/D'A' = 3/12 = 1/4
The scale factor = 1/4
The scale factor = 1/4
area ratio = 1/16
16 copies of ABCD fit inside A'B'C'D'.
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Please help!! Will mark brainlyest.
Answers
C
Step-by-step explanation:Line symmetry is when a shape can be folded over an imaginary axis and have both sides be a mirror of the other. This axis is called the line of symmetry.
Letter C
In this case, if you draw a horizontal line across the middle of the letter "C" and fold the letter, each half would be the same. The top half of "C" mirrors the lower half.
Other Examples
The lowercase letter "l" also has 2 lines of symmetry. You can draw both a horizontal and vertical line across the letter and each side will mirror the other.
A picture frame has an area of 48 square inches. What is the largest possible perimeter of the picture frame? HURRY PLS BRAINLIEST
A) 28 inches
B) 96 inches
C) 102 inches
D) 98 inches
Answers
Answer:
A (102 inches)
Step-by-step explanation:
C) 102 inches
============
There are endless options related to length and width of any shape with 48 square inches.========
For example: Let the length of rectangle be 0.1 and width should be 480
For this the area is 48 square inches and perimeter is 960.2 inch.
Thus we can see perimeter can be above the area→ Here since they asked for largest possible perimeter . 102 inches will be the correct option.
Question
Find the perimeter of the window to the nearest hundredth.
perimeter: about
ft
Answers
[tex]p = \frac{1}{2} \times 2 \times \pi \times radius \\ [/tex]
[tex]p = 3.14 \times \frac{3}{2} \\ [/tex]
[tex]p = 3.14 \times 1.5[/tex]
[tex]p = 4.71 \: \: ft[/tex]
Answer:
[tex]7.71ft[/tex]
Step-by-step explanation:
Formula for finding circumference
[tex]\frac{1}{2} \pi *d+d[/tex]
Diameter = [tex]3ft[/tex]
Substitue into equation:
[tex]\frac{1}{2}\pi *3+3[/tex]
Solve:
[tex]3.14*3=9.42\\\frac{1}{2} of9.42=4.71\\4.71+3=7.71[/tex]
Which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.
Answers
Answer:
1st, 2nd, and 5th one
Step-by-step explanation:
I got an 100 on the assignment! hope this help <3
Please Answer :D
Find the area of the figure
Will mark brainliest to the correct person!
Answers
Answer:
The area is 56.52 sq. in.
Step-by-step explanation:
First to find the area of a whole circle, we do r^2(pi)- 6^2(3.14)=113.04. Since the circle is cut in half or is a semicricle, we divide the whole area by 2 to get 113.04/2=56.52.
6 workers can construct 10m long
wall in 4 days in how many days 2 workers can construct 15m
long wall?
Answers
Answer:
18 daysStep-by-step explanation:
Remember :
Number of workers is inversely proportional to the amount of days requiredHere :
6 workers construct 10 m long wall in 4 daysThen, for 2 workers to construct the same length, it will take 3 times the amount of time as number of men has been divided by 32 workers to construct 10 m long wall = 4 x 3 = 12 daysFor them to construct 15 m long wall, multiply the number of days by 1.5 as 10 x 1.5 = 15No. of days for 2 workers to construct 15 m long wall :12 x 1.5 = 18 daysHelp me on this please
Answers
Answe65
Step-by-step explanationthat the anews
Need help asap!! Please Help, No links!
Answers
(10/3)/(3/10) = 10/3*10/3 = 100/9=11.11 ~~ 11
(3 9/13 * 2 1/6 -5)^3-(9-5*2)^5+0.4(29.51+90.49)
Answers
Answer:
76
Step-by-step explanation:
All steps are in the pic attached :
A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. A second person pays $14.00 for a ticket to every game but doesn't buy programs. In how many games will they have paid the same amount?
Answers
The two person will pay the same amount of money when they both watch 9 hockey games.
How to find the equation and use it to find cost?A hockey season ticket holder pays $99.00 for her tickets plus $3.00 for a program for each game. Therefore,
y = 99 + 3x
where
y = total cost
x = number of game
A second person pays $14.00 for a ticket to every game but doesn't buy programs. Therefore,
y = 14x
The number of games they will have the same amount is as follows:
99 + 3x = 14x
99 = 14x - 3x
99 = 11x
x = 99 / 11
x = 9
Therefore, they will have the same amount when they watch 9 games.
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The volume of the oblique cylinder is ___ units3. Use π ≈ 3.14. Hint: Use Cavalieri’s Principle.
Answers
Answer:
540pie OR 1695.6
Step-by-step explanation:
help me please im getting tired of getting no answers!
Answers
Answer:
The picture isnt popping up fix it and ill answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
change in time: 2
change in distance: 5.5
2:5.5
Im trying to help my sis but i cant remember :/
Answers
428.5oz (total amount she had to put out)÷ 5(amount of bowls she wanted to use) = 85.7oz
What is the Pythagorean Theorem and when can you use it?
Answers
Step-by-step explanation:
The Pythagorean Theorem is a useful tool that shows how the sum of the areas of three intersecting squares can determine the side lengths of a right triangle.
You use the Pythagorean Theorem when you know the lengths of two sides of a right triangle and you want to figure out the length of the third side.
Solve the system of equations (1 point)
y = 2x(squared) – 3
y = 3x - 1
Answers
[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]
════════════════════
1.
[tex]y = {2x}^{2} - 3[/tex]
[tex] {2x}^{2} - 3 = y[/tex]
[tex] {2x}^{2} = y + 3[/tex]
[tex]\frac{2x^{2}} {2} = \frac{y + 3}{2}[/tex]
[tex] {x}^{2} = \frac{y + 3}{2} [/tex]
[tex]x = \sqrt \frac{2y + 6}{2}[/tex]
───────────────────
2.
[tex]y = 3x - 1[/tex]
[tex]3x - 1 = y[/tex]
[tex]3x = y + 1[/tex]
[tex] \frac{3x}{3} = \frac{y+1}{3}[/tex]
[tex]x = \frac{y + 1}{3}[/tex]
═══════════════════
Explanation:
#Carry on learning
The price of an item has been reduced by 80% . The original price was $85. What is the price of the item now?
and fast pls it is due today and thx u!.
Answers
Step-by-step explanation If the original price was $85 and it is reduced by 80%, that will be 80/100 ×85= 68
80% discount is $68
The new price will be 85-68= $17
Let the price be x
x=85-80% of 85x=85-0.8(85)x=85-68x=$17Price is $17 now
URGENT!!
Find the solutions by completing the square x^2-5x+4=y
Answers
Answer:
y=x^2-5x+4 i am not sure but a im try
A store sells an 8-pound bag of flour for $18.80. If larry can buy a 2-pound bag of flour at the same rate, what would be the price of the 2-pound bag?
Answers
Answer:
$4.70
Step-by-step explanation:
First, you need to divide 18.80 by 8.
18.80/8 = 2.35
2.35 is the unit price for one (1) pound bag of flour,
Multiply by 2 to find the price of a two (2) pound bag.
2.35 * 2 = 4.7
$4.70 is the price of a two-pound bag.
hope this helps :)
help pls. been trying to find the answer!
Answers
Answer:
Option 3
Step-by-step explanation:
Divide both terms by 2
Dan surveys 10 of the 24 students in his calss about the number of people in
their families. The results of Dan's survey are given.
3, 3, 4, 3, 6, 5, 7, 3, 4, 2
Based on the results of Dan's survey, what would be the best estimate for the
mean number of people in students' families in his class?
Answers
Answer:
4
Step-by-step explanation:
The total of all numbers divided by how many surveys were done.
The letters of the word STAR are written on individual cards. If you always choose three cards and then put them back before the next set of three cards, how many different permutations will you have? List all the different permutations in the space provided.
PLEASE HURRY AND HELP
Answers
Answer:
Answer: 24
Step-by-step explanation:
There are 4 possibilities for the first card. After that, there are 3 possibilities for the second card. Finally, there are 2 possibilities for the third card. The total number of permutations is 4×3×2 = 24. Here's the list (in alphabetical order): ARS ART ASR AST ATR ATS RAS RAT RSA RST RTA RTS SAR SAT SRA SRT STA STR TAR TAS TRA TRS TSA TSR