The difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Given the expression:
[tex]\frac{x+5}{x+2}-\frac{x+1}{x^2+2x} \\[/tex]Take the LCM of the fraction to have:
[tex]=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}[/tex]
Hence the difference of the given fraction is expressed as [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Learn more on fractions here; https://brainly.com/question/78672
Answer:
its B. x^2+4x+1 / x(x+2)
Step-by-step explanation:
did it on edge
Is there a proportional relationship between category 1 and Category 2 in the table below
Answer: Please upload the image or PDF.
what is equivalent to
−−(2+5)−(3−7)?
Answer: [tex]\frac{-6}{2}, \frac{-9}{3} , \frac{-12}{4}[/tex]etc
Step-by-step explanation: -(2 + 5) - (3 - 7) = -3 To turn -3 to a fraction put 1 as it's denominator so it's [tex]\frac{-3}{1\\}[/tex]. [tex]\frac{-3}{1}[/tex] 's equivalent frations are [tex]\frac{-6}{2}, \frac{-9}{3} , \frac{-12}{4}[/tex] and etc.
Only the a) part please!!!!
[tex](i)\\\\2A = \begin{pmatrix}3x \times 2 & 1 \times 2 & 5 \times 2\\0\times 2 & 2x \times 2 & -3 \times 2\end{pmatrix} = \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix}\\\\\\(ii)\\\\2A + B = C\\\\\implies \begin{pmatrix}6x & 2 & 10\\0 & 4x & -6\end{pmatrix} + \begin{pmatrix}y & 0 & -4\\1 & -3y & 2\end{pmatrix} = \begin{pmatrix}31& 2 & 6\\1 & 17& -4\end{pmatrix}[/tex]
[tex]\implies \begin{pmatrix}6x+y & 2+0 & 10-4\\0+1 & 4x-3y & -6+2\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\\\implies \begin{pmatrix}6x+y & 2 & 6\\1 & 4x-3y & -4\end{pmatrix} = \begin{pmatrix}31 & 2 & 6\\1 & 17& -4 \end{pmatrix}\\\\\text{System of equations},\\\\6x +y =31,~~ 4x -3y = 17\\\\\\(iii)\\\\6x +y-31 =0 \\\\4x-3y -17=0\\\\\text{Solving by cross multiplication method}\\\\\\\dfrac x{1(-17) - (-31)(-3)} = \dfrac y{4(-31) - 6(-17)} = \dfrac 1{6(-3) - 4(1)}[/tex]
[tex]\implies \dfrac{x}{-17 -93} = \dfrac{y}{-124 +102} = \dfrac 1{-18-4}\\\\\\\implies -\dfrac{x}{110} = -\dfrac{y}{22} = -\dfrac 1{22}\\\\ \implies \dfrac{x}{110} = \dfrac{y}{22} = \dfrac 1{22}\\\ \\\text{Hence,}\\\\\\x=\dfrac{110}{22}=5,~~~~ y= \dfrac{22}{22} =1[/tex]
Answer:
(i)
[tex]2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right][/tex]
(ii) 6x+y=31; 4x-3y=17
(iii) (x, y) = (5, 1)
Step-by-step explanation:
(i)The matrix 2A is written by multiplying each element of A by 2.
[tex]2A=\left[\begin{array}{ccc}6x&2&10\\0&4x&-6\end{array}\right][/tex]
__
(ii)Variables are seen in elements (1, 1) and (2, 2) of the matrices A and B, so the simultaneous equations can be chosen from those elements of the equation 2A+B=C.
6x+y=314x-3y=17__
(iii)A graphing calculator shows the solution to be (x, y) = (5, 1).
a local company uses 13 1/2 tons of paper in one week. It recycles about 1/3 of its waste. how many tons of paper does the company recycle in one week?
Answer:
4 1/2 tons of recycled paper
Step-by-step explanation:
13.5/3 = 4.5 or 4 1/2
how many drinks are contained in a 60 ounce pitcher
Answer:
fill three pint glasses, five 12-ounce glasses or six 10-ounce glasses.
Step-by-step explanation:
The base of a pyramid has n sides.
Write an expression for the number of vertices of the pyramid.
The answer to the question is n+1
13.
A?
B?
C?
D?
I’ll check back in whoever is correct here brainlest <3 ignore the stuff at the bottom
Answer:
A
Step-by-step explanation:
[tex]\huge \sf༆ Answer ༄[/tex]
Let's solve ~
[tex] \sf {x}^{2} - 10xy + 21 {y}^{2} [/tex][tex] \sf {x}^{2} - 7xy - 3xy + 21 {y}^{2} [/tex][tex] \sf x(x - 7y) - 3y(x - 7y)[/tex][tex] \sf( x - 7y)(x - 3y)[/tex]Hence, the correct choice is ~ A
At a basketball game, a vender sold a combined total of 161 sodas and hot dogs. The number of sodas sold was 31 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.
Answer:
65 hot dogs, 96 sodas
Step-by-step explanation:
x + (x + 31) = 161
2x + 31 = 161
2x = 130
x = 65
65 hotdogs
65 + 31 = 96
96 sodas
could someone explain this to me?
================================================
Explanation:
Let's focus on the root x = 2i. Square both sides to get rid of the imaginary component and then get everything to one side.
x = 2i
x^2 = (2i)^2
x^2 = 4i^2
x^2 = -4
x^2+4 = 0
You should find that the root x = -2i leads to x^2+4 = 0 as well.
So the equation x^2+4 = 0 produces the complex roots x = 2i and x = -2i. This tells us that x^2+4 is a factor of the answer. The other factor is x-5 due to the real number root x = 5.
We'll multiply those two factors mentioned:
(x-5)(x^2+4)
w(x^2+4) ..... let w = x-5
wx^2 + 4w
x^2(w) + 4(w)
x^2(x-5) + 4(x-5) .... plug in w = x-5
x^3 - 5x^2 + 4x - 20
----------
The last step is to triple each term so that we go from the leading term of x^3 to 3x^3. This will give us a lead coefficient of 3.
So we go from this
x^3 - 5x^2 + 4x - 20
to this
3x^3 - 15x^2 + 12x - 60
after tripling everything. This expression has the same roots as the previous one. Scaling the function only stretches it vertically, but the roots aren't changed.
1943 divided by 67.Show steps please.
Answer: Long Division Calculator with Decimals
look this up see if it helps
Step-by-step explanation:
Negative 12 - negative 50
Answer:
38
Step-by-step explanation:
if you're asking what (-12)-(-50) is the answer is 38 simple method to remember is KCF or KFC same thing just worded differently but it means keep change flip! hope that helped have a great day!!
Which of the following is a function equivalent to f(x) = 3(1. 7)4x? f(x) = 25. 06x f(x) = 3(8. 35)x f(x) = 3(8. 25x) f(x) = 487. 97x.
The correct equivalent function can be found by using exponent rule.
The correct option is [tex]f(x)=3(8.35^x)[/tex].
Given:
The given expression is as follows,
[tex]f(x)=3(1.7)^{4x}[/tex]
Write the exponent rule.
[tex]a^{mn}=(a^m)^n[/tex]
To simplify the given expression apply the exponent rule.
[tex]f(x)=3(1.7)^{4x}\\f(x)=3(1.7^4)^x[/tex]
Using calculator find the value of [tex]1.7^4[/tex].
[tex]f(x)=3(1.7^4)^x\\f(x)=3(8.35)^x\\f(x)=3(8.35^x)[/tex]
Thus, the correct option is [tex]f(x)=3(8.35^x)[/tex].
Learn more about exponent rule here:
https://brainly.com/question/2254060
I promise y’all this is the last question I need to be answered
Answer:
sorry there's no results
Step-by-step explanation:
just skip it
Find the surface area of a cylinder with radius 8m and height 5 m
Answer:
A≈653.45
Step-by-step explanation:
Solution
A=2πrh+2πr2=2·π·8·5+2·π·82≈653.45127
picture. simplify. easy math.
Answer:
3/2
Step-by-step explanation:
can someone plz help with math?!
Answer:
1. L = 3D +59
2. 158 miles
Step-by-step explanation:
For the second part:
Since each day 3 miles of the road is being added, we can simply multiply the number 33 by 3, getting 99. If the road started with 59 miles, we need to add 59 to 99, getting 158 miles.
help me asap!!!!!!!!!!!!!
Answer: yes
Step-by-step explanation:
It is because for every x value there is a y and the x value does not repeat to any y values.
Answer:
No because the slope isnt constant, the y changes higher and higher while the x stays constant
Step-by-step explanation:
Hope this helps!:)
After a series discount of 18/10, a GPS had a net cost of $252.45. What is the list price?
..EE
The list price of the GPS is $
(Round to the nearest cent as needed.)
Answer:
$237.50
Step-by-step explanation:
5/100=.05
250•.05=12.5
250-12.5=237.50
blueberries cost 4.00 per pound. how many of blueberries can you buy for 1.00
Answer:
1/4 or .25
Step-by-step explanation:
You cross multiply which would give you 4x=1.
Help me please please
Answer:
a.11
b.20
c.44
d.5
e.60
f.12
g.4
h.40
i.900
j.6
Step-by-step explanation:
hope this helps
Please Help ill give brainliest!!!! Help ASAP
Question: Whose puppy gained weight the slowest? How much did it gain per week?
Answer:
Camille's puppy becuase it gains about half a pound per week
Step-by-step explanation:
Answer:
Camille's puppy because it gains about half a pound per week
Step-by-step explanation:
brainliest please?
The conditional relative frequency table was calculated by row using data from a survey of one station’s television programming. The survey compared the target audience with the type of show, either live or recorded, over a 24-hour time period. A 4-column table with 3 rows titled television programming. The first column has no label with entries adult, children, total. The second column is labeled live with entries 0. 625, 0. 5, nearly equal to 0. 583. The third column is labeled recorded with entries 0. 375, 0. 5, nearly equal to 0. 417. The fourth column is labeled total with entries 1. 0, 1. 0, 1. 0. Which is the best description of the value 0. 375 in the table? Given that the program was targeted at adults, there is a 37. 5% chance that it was recorded. Given that the program was recorded, there is a 37. 5% chance that it was targeted at adults. 37. 5% of the programs are targeted at adults. 37. 5% of the programs are recorded.
The conditional relative frequency presents the result of the survey that conveys information about the programming and the audience.
The best description of the value 0.357 in the table is; Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.Reasons:
The table is presented as follows;
[tex]\begin{tabular}{|c|c|c|c|}&Live&Recorded&Total\\Adult&0.625&0.375&1.0\\Children&0.5&0.5&1.0\\Total&\approx 0.583&\approx 0.417&1.0\end{array}\right][/tex]
Based on the given table, we have that the programs are categorized based on the intended audience.
Therefore, the 0.375, indicates that 37.5% of the program targeted at adults are recorded.
Therefore, the correct option is;
Given that the program was targeted at adults, there is a 37.5% chance that it was recorded.
Learn more about relative frequency table here:
https://brainly.com/question/8470699
https://brainly.com/question/3712144
Answer:
A
Step-by-step explanation:
its a
Find the domain of function F defined by
F(x) =1/√|x-1|
Answer:
Therefore, |x-1|>0
=> (x-1)>0 or - (x-1)>0
=> x > 1 or x < 1
=> (- infinity, 1) U (1, infinity)
Shapes. I will give brainless answer correctly and tell me the top number and bottom.
Answer:
2 lines are used fro their respected two centers one Is vertical or one is horizontal it's dice into 4 squares
Can someone Please help me on this easy math problem
Answer:
114
x_shun
jdebh
jejeu
About what percentage of the data lies within 2 standard deviations of the mean in a normal distribution? 47. 5% 68% 95% 99. 7%.
The percentage of data that lies within 2 standard deviations of the mean in a normal distribution is 95%.
A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.
For a normal distribution:
About 68% of the data lie within one standard deviation of the mean. About 95% of the data lie within two standard deviations of the mean. About 99.7% of the data lie within three standard deviations of the mean.Please find attached an image of a normal distribution. A similar question was answered here: https://brainly.com/question/17101164
Answer:
I believe it is 95%
Step-by-step explanation:
Write an algebraic equation to represent the situation.
A bacon cheeseburger cost $1 more than a regular cheeseburger. If 5 cheese burgers cost the same as 3 bacon cheeseburgers, how much does a regular cheeseburger cost.
I don't know if I'm just tired or what but I do not understand how I can make an equation out of this.
3(x+1) = regular cheese burger
Please help meeee! Need the answer for the first box, no phony answers please! Thanks for your help, and happy holidays!
Answer:
y=2(x+5)^2-4.
Step-by-step explanation:
By solving a little bit, we get the vertex to be (-5, -4). Plugging the info given and the vertex into the vertex form, we get y=2(x+5)^2-4. You have a happy holiday season, too!
Find the value of x.
Answer:
X=24
Step-by-step explanation:
(X+16)°+6x=180°(being co-interior angle)
7x=180-16
X=164÷7
X=23.428
X=23
or,
(3x-1)+5x=180(being co-interior angle)
8x=181
X=181÷8
X=22.625=23
Please help me :)
ty ty
Answer:
the slope is stepper and the line is shifted up
