Simplify fully
x² – 9/3x²+8x-3 divided by x-3/x+2
Answer:
-(x(2x squared-8x+3))/(x-1)(x+3)
Step-by-step explanation:
This can't be simplified very far, but the answer is above. Hope it helps!
The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
What is Simplification?Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,
WE need to simplify the given;
[tex]\dfrac{x^{2}-9 }{3x^{2} +8x-3}+\dfrac{x-3}{x+2}[/tex]
3x² + 8x - 3 = (3x - 1)(x + 3)
x² - 9 = (x - 3)(x + 3)
Then;
[tex]\dfrac{(x-3)(x+3)}{(3x-1)(x+3)} +\dfrac{x-3}{x+2} =\dfrac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}[/tex]
Therefore,
[tex]\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}[/tex]
[tex]\dfrac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}[/tex]
[tex]\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}[/tex]
[tex]\dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\dfrac{(x-3)(4x+1)}{(3x-1)(x+2)}[/tex]
Hence, The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
Learn more about simplification;
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What is 50x50x1x0 =?
What is 0x0 =?
What is 0/0 =?
What is 50x50x1x0 = 0
What is 0x0 = 0
What is 0/0 = it is called undefined and the expression is 00
Answer:
1. 0 2.0 3. impossible
Step-by-step explanation:
1. PEMDAS
50*50=2500
2500*1=2500 idnetification property
2500*0=0 zero property
2. 0*0 =0 zero property
3. 0 can not be a divisor. This leads to the answer being an error
AYUDAAAAAAAAA PORFA NO LE ENTIENDO
lines A and B are parallel,lines x and y are transversals. if angle 2 is 57 degrees and angle 3 is 85 degrees,find the measure of angle 5 will mark brainest
Answer:
38Step-by-step explanation:
see attached
Two angles are complementary. One angle is twice as large as the other angle. What is the measure of each angle?
Laura had 192 dollars to begin with. She just spent b dollars. Using b, write an expression for the number of dollars she has left
Answer:
uh idkbjbss codificación
long division help :)
I’m confused
Answer:
the answer is 27
i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0
this is my statement and i did this on paper and got this right!
Answer:
27
Step-by-step explanation:
See photo below
Solve 6 < x + 5 < 11
Answer:
I think it should be 1 < x ≤ 6
Step-by-step explanation:
What is (2n-9)-5(-2.4n+4)?
It has been observed that a large percentage of professional hockey players have birthdays in the first part of the year. It has been suggested that this is due to the cut-off dates for participation in the youth leagues - those born in the earlier months are older than their peers and this advantage is amplified over the years via more opportunities to train and be coached. Of the 511 professional hockey players in a season, 159 of them were born in January, February, or March.
Requried:
a. Assume that 25% of birthdays from the general population occur in January, February, or March (these actually contain 24.7% of the days of the year). In random samples of 508 people, what is the mean number of those with a birthday in January, February, or March?
b. What is the standard deviation?
c. Now, 158 of the 508 professional hockey players were born in the first three months of the year. With respect to the mean and standard deviation found in parts (a) and (b) what is the z-score for 158?
d. If the men in the professional hockey league were randomly selected from the general population, would 158players out of 508 be an unusual number of men born in the first 3 months of the year?
e. Which of the following is an acceptable sentence to explain this situation?
1. If the men in the professional hockey league were selected randomly from the general population, this would be an unusual collection of birth dates.
2. There is good reason to believe that a significantly larger than expected proportion of professional hockey league players are born in the first three months of the year.
3.This could be a result of the random variation of birth dates within a sample. However, it would be pretty unlikely to happen by chance.
4. All of these are valid statements.
Answer:
a
[tex]\mu = 127[/tex]
b
[tex]\sigma = 9.76[/tex]
c
[tex]z-score = 3.18 [/tex]
d
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
e
The correct option is option 3
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.25
The sample size is n = 508
Generally the mean is mathematically represented as
[tex]\mu = np[/tex]
=> [tex]\mu = 508 * 0.25[/tex]
=> [tex]\mu = 127[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ np (1-p)}[/tex]
=> [tex]\sigma = \sqrt{ 508 * 0.25 (1-0.25)}[/tex]
=> [tex]\sigma = 9.76[/tex]
Generally the z-score of 158 is mathematically represented as
[tex]z-score = \frac{158 - 127}{9.76}[/tex]
=> [tex]z-score = \frac{158 - 127}{9.76}[/tex]
=> [tex]z-score = 3.18 [/tex]
Yes, 158 players out of 508 is an unusual number of men born in the first 3 months of the year because the z score of 158 is greater than 3( Note :the probability of z-score = 3 is 97%)
What this means is that the almost the whole professional hockey league player are born in the first month which is unusual
There are eight wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested.
Answer: 40320 sequence to test.
Step-by-step explanation:
we have given the following data:
No of wires which need to be attached to a circuit board = 8
What We need to find is the number of possible sequences of assembly that must be tested.
Using our multiplication rule of counting we arrive at,
Number of possible sequences of assembly is given by
8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 40320
i.e. there are 8 choices for the first wire, 7 choices for the second wire, 6 choices for the third wire, 5 choice for the fourth wire same till the 8th wire.
Hence, there are 40320 possible sequences of assembly.
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α=α= .05.
Method 1 Method 2
Roller Coaster41434951
Type of RideScreaming Demon 52445046
Log Flume50464844
Method 1 Method 2
Roller Coaster
41
43
49
51
Type of Ride
Screaming Demon
52
44
50
46
Log Flume
50
46
48
44
Answer:
hello your question has some missing part and the table as it relates better to the question
set up the ANOVA table ( to 1 decimal if necessary )
Step-by-step explanation:
attached below is the image of the Analysis of variance using Minitab software
Attached below as well is the Require Anova table
While shopping for clothes, Curtis spent $17 less that 2 times what Daniel spent. Curtis spent $15 dollars
What equation that can be used to determine how much Daniel spent is
Blank• - blank= blank
Answer:
$13
Step-by-step explanation:
15 x 2 =30 - 17 = 13
find the mean of the data 5,5,8 set
Answer:
the mean is 6
Step-by-step explanation:
5+5+8= 18
then divide 18 by 3 bc there is 3 numbers and u get 6
hope this helps
four students measure their height their heights measure 184cm, 192cm, 164cm, 200cm what is the mean height of the students
Answer:
add them all up and divide by four to get the mean is to get the average if there were two numbers you add and divide by 2 but since there are for u divide by four once you have added them all up
A package of 5 pairs of insulated socks costs $37.95. What is the unit price of the pairs of socks?
Answer:
$7.59.
Step-by-step explanation:
Divide $37.95 dollars (converting it into 37.95), by 5, and you get 7.59 ($7.59).
Answer:
$7.59
Step-by-step explanation:
you dived $37.95 by 5 and you get your answer of $7.59
6.333 x 10^2
HHHEEEEELLLLLLLPPPPP!
Answer:
See Below
Step-by-step explanation:
6.333 x 10^2
10^2 = 100
since there is 2 zeros, move the decimal to the right twice.
633.3
18 ft = 6 yd
O True
O False
Help
Step-by-step explanation:
there is 3 feet in a yard
divide by 3
18 ÷ 3 = 6
true
A number is equal to the difference of four times the number and 18
Answer:
X = 4x-18
Step-by-step explanation:
X = “a number”^^
4. I am a multiple of 3, 4, 5, and 6. I am a factor of 120. Divided by 7, l leave a remainder of 4. Who am I?
Answer:
60
Step-by-step explanation:
Taking the LCM of 3, 4, 5 and 6 leaves us with;
LCM = 1 * 2 * 3 * 2 * 5
= 60
Since Dividing 60 by 7 leaves quotient 8 and remainder 4,
We know that we've found the number we're looking for.
What is the solution set of the equation |2x-9| = -9
Answer:
tbh i don't kno either lol
Step-by-step explanation:
hehehe
Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression.
Y=3^x;3^1.2
A. 1;3.7
B. 1;2.9
C. 0;3.9
D. 0;3.5
Answer: Its A) 1 ; 3.7
Step-by-step explanation:i just took the practice on edge 2020
choose 1 item to purchase. what is the greatest number of that item you can buy with a $10 and still receive change? how much change will you receive?
Answer:
Step-by-step explanation:
Find the sum: 2.234 + 0.01
Answer:
The sum of 2.234 and 0.01 is 2.244.
Step-by-step explanation:
The 0.01 is in the hundredths place, so just add 1 to the number in the hundredths place of 2.234, to make it 2.244.
FIRST RIGHT GETS BRAINLIEST
Answer:
Red is sus
Step-by-step explanation:
Answer: naah i think brown is sus he faked electrical vote him out
Step-by-step explanation:
If I had 50 magmortars and I got one shiny magmortar, how much would i have now???
Answer:
51 Magmortars!!!
Step-by-step explanation:
Hope this helps!!!
Answer:
you have 51
Step-by-step explanation:
if you have 50 and you get 1 more then your adding so you would do this
50+1=51
Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.
Answer:y = mx + b
(–6) = (4)(–1) + b
–6 = –4 + b
–2 = b
Step-by-step explanation:
PLEASE HELP!! Which equations represent a proportional relationship? If yes, give the constant of Proportionality.
Answer:
The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
Step-by-step explanation:
How do you do this question?
Answer:
(-11 + √165) / 22
Step-by-step explanation:
∑₂°° (1 + c)⁻ⁿ
= ∑₂°° (1 / (1 + c))ⁿ
= ∑₁°° (1 / (1 + c))ⁿ⁺¹
This is a geometric series with a₁ = 1/(1+c)² and r = 1/(1+c).
The sum of an infinite geometric series is:
S = a₁ / (1 − r)
Therefore:
11 = 1/(1+c)² / (1 − 1/(1+c))
11 = 1 / ((1+c)² − (1+c))
11 ((1+c)² − (1+c)) = 1
11 (1 + 2c + c² − 1 − c) = 1
11 (c + c²) = 1
11c² + 11c − 1 = 0
c = [ -11 ± √(11² − 4(11)(-1)) ] / 22
c = (-11 ± √165) / 22
c cannot be between -2 and 0, so c = (-11 + √165) / 22.
For the function h(x) = x2- 2, find the range:
If the domain is {-1, 0, 3}
Answer:
-4, -2, 4
Step-by-step explanation:
-1(2)-2
0(2)-2
3(2)-2
I hope this helped.