Answers
Answer:
[tex] \frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )} [/tex]
Step-by-step explanation:
[tex] \frac{5}{6 {x}^{2} + 9x} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5}{3x(2 {x} + 3)} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5(2x - 3) + 1 \times 3x(2x + 3)}{3x(2 {x} + 3)(2x - 3)} - \frac{2}{3x} \\ \\ = \frac{10x - 15 + 6 {x}^{2} + 9x}{3x((2 {x} ) ^{2} - {3}^{2} )} - \frac{2}{3x} \\ \\ = \frac{6 {x}^{2} + 19x - 15}{3x(4x^{2} - 9 )} - \frac{2}{3x} \\ \\ = \frac{3x(6 {x}^{2} + 19x - 15) - 2 \times 3x(4x^{2} - 9 )}{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{18{x}^{3} + 57 {x}^{2} - 45x - 24x^{3} + 54x }{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{ - 6 {x}^{3} + 57 {x}^{2} + 9x }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ = \frac{ 3x(- 2 {x}^{2} + 19x + 3) }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ \huge \orange{ \boxed{= \frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )} }}[/tex]
Related Questions
In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5. What is the weight of silver in the alloy if there are 18g of gold?
Answers
Answer:
45
Step-by-step explanation:
equate the two equations
2/5=18/x
Answer:
45grams
Step-by-step explanation:
Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.
Answers
Step-by-step explanation:
Describe how the values of a and k affect the graphical and tabular representations of the functions y=ax^2, y=x^2+k, and y=ax^2+k.
Anya purchased $124.35 worth of home improvement items at the hardware store. If the sales tax rate in her city is 6.75%, what is the total cost of her purchase!
Answers
Answer:
124.35 X 6.75
Step-by-step explanation:
The total cost of Anya's purchase of home improvement hardware is 132.74 dollars.
What is percentage?
The percentage is the value per hundredth.
It is given that, the sales tax is 6.75% which is not there in the home improvement hardware which cost 124.35 dollars to Anya.
The total cost of purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,
= (106.75/100)×124.35 dollars.
= 1.0675×124.35 dollars.
= 132.74 dollars.
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Hom many TOTAL atoms are presented in H4Mg3Si2O9?
Answers
Answer:
I'm pretty sure it would be 18 total atoms.
Step-by-step explanation:
4+3+2+9=18
Please help guys this has to be do in 10:00 please help
Answers
Answer:
1)14oz
2)28oz
Step-by-step explanation:
1) To find the amount of water is left in the bottle you want to substract 1/3 so the first thing you want to do is find what 1/3 of 42 is. So do this: (This is also 42/3)
42*1/3=14
So we now know that 14 is 1/3 of 45 which is the first answer. To find the second answer you want to substract 14 from 42 which is 28.
So that means she has 28 oz of water left when she gets there.
What is the standard form of 3.457
Answers
Answer:
3.457 is already in standard form.
Step-by-step explanation:
What is the value of p?
p+2−4=14
Drag and drop the correct answer in the box.
p = Response area
Answers
p= 16
Subtract 4 from 2 to get −2
p−2=14
Add 2 to both sides
p=14+2
Add 14 and 2 to get 16
p= 16
Hope this helps :)
Answer: p=16
Step-by-step explanation:
What is the value of x in this equatain x/2 - x = x/4 + 6
Answers
Answer:
x=-8
Step-by-step explanation:
Simplify the given expressions.
(7−2)2−(2+1)(2−5)
Answers
The answer is 19. ( i think)
Find the midpoint M of the line segment joining the points S=(-2,8) and T=(6,-2)
Answers
Step-by-step explanation:
[tex] \frac{6 + ( -2)}{2} = 2[/tex]
this is for x
[tex] \frac{ - 2 + 8}{2} = 3[/tex]
this is for y
so it will become (2,3)
The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid
ounces of volume. Express this density in ounces per liter. Round your answer to the
nearest whole number.
Answers
Answer:
701 ounces per liter
Step-by-step explanation:
it's from delta math
The required density in ounces per liter is 140 onces per liter.
The density of a certain material is such that it weighs 5 kilograms for every 8.5 fluid ounces of volume.
To determine density in ounces per liter.
Volume is defined as the ratio of the mass of an object to its density.
As given that, t weighs 5 kilograms for every 8.5 fluid ounces of volume.
1 KG = 7.0474 ounces
5kg = 35.247
8.5 fluid of ounces = 0.251 liter
Density is given as,
= mass / volume
= 35.274 / 0.251
= 140 ounces per liter.
Thus, the required density in ounces per liter is s140 ounces per liter.
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Evaluate the expression x+2y when x=2 and y=−2.5.
Answers
Answer: -3
Step-by-step explanation:
If you plug in the numbers, the equation would look like: 2+2(-2.5)
Multiply 2 by -2.5 and you'll get -5 as your product. Add 2 and -5 together to get the sum of -3.
Answer:
‒3
Step-by-step explanation:
x+2y=2+2(‒2.5)
=2+(‒5)
=2‒5
=‒3
i hope it helps you
A contractor bought 8?2 ft2 9f sheets of metal. she has used 3.5ft2 so far has 84.60 worth of sheets metal remaining. the equation 8.2x-3.5x=84.6 represents how much sheet is remening and the cost of the remaining. how much does the sheet metal cost per square foot?
Answers
Answer:
The ratio 19/25 is the same as 76/100, or 0.76.
Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.
Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.
Step-by-step explanation:
74,626,831.08 ROUNDED TO THE TENTH.
Answers
Answer:
74,626,831.1
Step-by-step explanation:
You'd notice that in the 0.8 part that the number 8 is greater than 5, and with rounding, if the number if 5 or over, then you round the decimal place before it to a number higher.
Write the slope-intercept form of the equation for
each graph described.
Line passing through (-2,-8) and (9,-8)
Answers
Answer:
y=-8
Step-by-step explanation:
First find the slope which is rise over run which equals (y2-y1)/(x2-x1)
(-8-(-8))/(9-(-2))
(-8+8)/(9+2)
0/11
slope = 0
Now you have the slope of 0. You can plug in one of the given point (x,y) to find b
-8=0(9)+b
-8=b
Combine everything
y=0x-8
y=-8
The sixth-graders at Scott's school got to choose between a field trip to a museum and a field trip to a factory. 57 sixth-graders picked the museum. If there are 100 sixth-graders in all at Scott's school, what percentage of the sixth-graders picked the museum?
Answers
Answer:
57%
Step-by-step explanation:
because percentages go up to a hundred so 57 would be 57%.
Answer:
57%
Step-by-step explanation:
The answer is 57%. The reason is because when we are talking about percentage, it always out of 100. 57 out of 100, you would make that into a fraction so it would be 57/100. You would then divide 57/100 to get 0.57. Move the decimal two places to the right to get 57%.
Choosing from 8 car models, 5 exterior paint colors, and 2 interior
colors
Answers
y=3x+22
x is equal to 225
Answers
9514 1404 393
Answer:
y = 697
Step-by-step explanation:
Put the value of x into the equation and do the arithmetic.
y = 3·225 +22 = 675 +22
y = 697
What decimal is equivalent to StartFraction 8 over 100 EndFraction
Answers
Answer:
8/100 is equivalent to 0.08
Typically, your car gets 32 mpg on the highway, how many gallons of gas did you use if you
traveled 1760 miles?
Answers
Answer:
13 gallons
Step-by-step explanation:
where does 17 lies between
Answers
Answer:
it lies between 16 and 18
Step-by-step explanation:
Answer:
16 and 18
Step-by-step explanation:
Which of the following options have the same value as
5% of 352
Choose 2 answers:
Answers
Write each phrase as an expression.
Double the sum of x and 4.
Answers
your answer should be 2(x+4)
How is the results?
Answers
Answer:
[tex]26^9[/tex]
Step-by-step explanation:
When you multiply powers with the same bases, you just add up the powers. In this case, it would be:
[tex]26\cdot28^8\\=26^1\cdot28^8\\=26^9[/tex]
Evaluate each expression if f= -6,9=7, and h=9. 10. g -7 11.-h-(-9) 12. f-g
Answers
Answer: 10
Step-by-step explanation:
if u take -6 and add it to 9 and 7 u get 10
Make a table for the function. You will be using your table to graph on the next pro y - 2x + 3 Domain:{-3, -1, 0, 2} х y - 1 0 2
Answers
[tex]For \: x = -1 , y = 2(-1) + 3 = 1 [/tex]
[tex]For \: x = 0, y = 2(0) + 3 = 3[/tex]
[tex]For \: x = -3, y = 2(-3) + 3 = -3[/tex]
[tex]For \: x = 2, y = 2(2) + 3 = 7 [/tex]
How would you graph y = -4/9x + 6
Answers
9514 1404 393
Answer:
graph the y-interceptfind another point (down 4, right 9)draw the line through the 2 pointsStep-by-step explanation:
When the equation of a line is given in slope-intercept form, as this one is, it is usually convenient to make use of those values (intercept and slope).
Here, the y-intercept is 6. The slope is -4/9, which means the line goes down 4 units for each 9 units to the right.
The y-intercept is graphed at (0, 6). An additional point can be graphed at (9, 2). Then the line can be drawn through these points.
f(x) = x2. What is g(x)?
Answers
PLZ HELP ill make brainleist to the correct awnser −2 1/2÷6
−2 1/6
−5 1/2
5 1/2
2 1/6
Answers
Answer: -7/4
Step-by-step explanation: u juss simplify -21/2/6 and get -7/4
Answer:A
Step-by-step explanation: The answer above me is wrong, it’s not even an answer choice, but I got my answer by using a calculator
What is 4/5 divided 1/3