what is the correct form of the partial fraction decomposition for: start fraction 35-27x over 4xsquared+28x endfraction
Answers
Answer: The answer is A
Step-by-step explanation:
A/4x+B/x+7
The correct form of the partial fraction decomposition for the given expression is Option A
What is Partial Fraction Decomposition ?Partial Fraction Decomposition is the method of simplifying rational expressions.
The expression given is
[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]
Applying Partial Decomposition
[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]
It can be written as
[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]
Therefore Option A is the answer.
To know more about Partial Factor Decomposition
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Related Questions
what is 1/3 divided by 1/6
Answers
Answer:
its 2
Step-by-step explanation:
If a sweater originally costs $50 and there is a 30% off sale on sweaters, what is the sale price?
Answers
There are two vendors at the fair sleeping snow cones for the same price. If the containers are completely filled and then leveled off across their tops, what is the difference in the amount of snow cone each will hold
Answers
Answer:
[tex]d = 787.81cm^3[/tex]
Step-by-step explanation:
Given
See attachment for the containers
Required
The difference in the amount of snow cone they hold
The amount they hold is determined by calculating the volume of the containers.
The traditional snow cone has the following dimension
Shape: Cone
[tex]r=4cm[/tex] --- radius
[tex]h = 13cm[/tex] --- height
The volume is calculated as:
[tex]Volume = \frac{1}{3} \pi r^2h[/tex]
So, we have:
[tex]V_1 = \frac{1}{3} \pi * 4^2 * 13[/tex]
[tex]V_1 = \frac{208}{3} \pi[/tex]
The snow cone in a cup has the following dimension
Shape: Cylinder
[tex]r=8cm[/tex] --- radius
[tex]h = 5cm[/tex] --- height
The volume is calculated as:
[tex]Volume = \pi r^2h[/tex]
So, we have:
[tex]V_2 = \pi *8^2 * 5[/tex]
[tex]V_2 = \pi *320[/tex]
[tex]V_2 = 320\pi[/tex]
The difference (d) in the amount they hold is:
[tex]d = V_2 - V_1[/tex]
[tex]d = 320\pi - \frac{208\pi}{3}[/tex]
Take LCM
[tex]d = \frac{3*320\pi -208\pi}{3}[/tex]
[tex]d = \frac{960\pi -208\pi}{3}[/tex]
[tex]d = \frac{752\pi}{3}[/tex]
Take [tex]\pi = 22/7[/tex]
[tex]d = \frac{752}{3} * \frac{22}{7}[/tex]
[tex]d = \frac{752 * 22}{3*7}[/tex]
[tex]d = \frac{16544}{21}[/tex]
[tex]d = 787.81cm^3[/tex]
Simplify the expression. Write your answer as a power.
Answers
Answer:
b^36
Step-by-step explanation:
Please help as soon as someone can, I need help on these questions.
Answers
Answer:
BELOW ↓Step-by-step explanation:
1.Given Information :
Distance (d) = 1/4 miles
Time (t) = 36 seconds
Speed = ?
[tex]Speed = \frac{Distance (d)}{Time (t)}\\\\Speed= \frac{\frac{1}{4} mile }{36 seconds} \\\\Speed =\frac{1}{44}m/hr[/tex]
2.The unit rates are equal
I need help with B please
Answers
Answer:
Area = 0.785 yrd
Circumference = 12.56 yrd
Step-by-step explanation:
Diameter = 1 yrd
Area of a circle = pi times the radius squared
A = 3.14 (1/2)^2
A = 0.785
Circumference of a circle = 2 times pi times the radius
C = 2(3.14)(1/2)
C = 12.56
A sandbox in the shape of a rectangular prism is
7 feet long, 5 feet wide, and 1 foot tall. If six
inches is added to the height, how much more
sand can it hold?
HELP PLASSS!!!
A. 12 ft
B. 15Ft
C: 17.5 ft
D. 21 ft
Answers
Answer:
C. 17.5
Step-by-step explanation:
The current volume of the sandbox is 7×5×1 = 35 feet³
If six inches is added to the height, the new volume will be 7×5×1.5=52.5
To find the difference in how much the snadbox can hold, you can subtract. 52.5-35= 17.5
Thank you for taking the time to look at my question
Answers
Answer:
I think it's B but im not sure
hope this helps
have a good day :)
Step-by-step explanation:
Answer and Step-by-step explanation:
The functions f(x) is being put into the function of g(x).
[tex]\frac{2x + 3}{4}[/tex]
[tex]\frac{1}{2} x + \frac{3}{4}[/tex]
Our answer is Answer choice 2.
#teamtrees #PAW (Plant And Water)
Your salary is $105,000 per year
Each month, 16% of your income is deducted for taxes?
7. What is your after-tax monthly income?
Answers
9514 1404 393
Answer:
$7350
Step-by-step explanation:
The tax deduction multiplies your income by 1 -16% = 84%. The expression of it as a monthly amount multiplies it by 1/12. So, your monthly take-home income is ...
$105,000(0.84)(1/12) = $105,000(0.07) = $7,350
Your after-tax monthly income is $7350.
Can someone help with this please!
Answers
Answer:
96/100, if they said simplify then its 24/25
Step-by-step explanation:
Answer please no links or files
Answers
Answer:
120
Step-by-step explanation:
Find the measurement of Dae need help fast
Answers
Answer:
D = 80 degrees or (76+4) C And F are 70 i think
Step-by-step explanation:
Solve by taking square roots. plz find answer
Answers
Answer:
Step-by-step explanation:
4[tex]x^{2}[/tex] - 6 = 394
4[tex]x^{2}[/tex] = 400
[tex]x^{2}[/tex] = 100
x = 10
Explanation: 394 plus 6 is 400. Divided by 4 is 100. 10 squared is 10
Solve the system by substitution.
-2x - 3y = -8
-y = x
Answers
Answer:
x=−8 and y=8
Step-by-step explanation:
Answer:
(-8,8)
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
can someone help me please
Answers
Hope it helps!
What is (x-7)(x-4) ????????
Answers
Answer:
x^2 -11x+28
Step-by-step explanation:
See Image below. I hoped this helped :)
Due tonight *no links*
Answers
Answer:
x=50°
Step-by-step explanation:
Add all the number. 110+99+101=310
Then, 360-310=answer(x)
An online furniture store sells chairs for $100
each and tables for $500 each. The store must
sell a minimum of $8300 worth of chairs and
tables each day. Write an inequality that could
represent the possible values for the number of
tables sold, t, and the number of chairs sold, c,
that would satisfy the constraint.
Answers
Answer:
13 3/4
Step-by-step explanation:
-6x+3y=-39 -6x-3y=-21 solve the system of equations
Answers
Answer:
x=5,y=-3
Step-by-step explanation:
[tex]\left \{ {{-6x+3y=-39} \atop {-6x-3y=-21}} \right. \\-12x=-60\\12x=60\\x=\frac{60}{12} \\x=5[/tex]
[tex]-6(5)+3y=-39\\-30+3y=-39\\3y=-39+30\\3y=-9\\y=-\frac{9}{3} \\y=-3[/tex]
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️If the area of a circle is 113.04 sq ft, what is the diameter of that circle?
Answers
Answer:
12ft
Step-by-step explanation:
A=π r^2
113.04 = π r^2
113.04/ π = π r^2/ π
35.98=r^2
√35.98 =√r^2
r= 5.998
d=r*2
d=5.998*2
d=11.9969 rounded to 12 i guess
Everythings in the picture!
Answers
Answer:
See below
Step-by-step explanation:
Year Starting balance,$ prt, $ Interest,$
1 1400 1400(1+0.06) = 1484.00 84
2 1484 1484(1+0.06) = 1573.04 89.04
3 1573.04 1573.04(1+0.06) = 1667.42 94.38
Find the range of the data.
67, 63, 72, 62, 64, 79, 74, 66
Answers
Answer:
The range is 17
Step-by-step explanation:
67, 63, 72, 62, 64, 79, 74, 66
To find the range of the data, take the largest number and subtract the smallest number.
The largest number is 79
The smallest number is 62
79-62 = 17
The range is 17
A new car sells for $34,500. If the car depreciates at a rate of seven and a half percent each year, how much will the car be worth in five years?
Answers
Answer:
$23356.5
Step-by-step explanation:
Given data
Cost = $34,500
rate= 7.5%
Time= 5 years
The expression for the depreciation is
A= P(1-r)^t
substitute
A= 34500(1-0.075)^5
A= 34500(0.925)^5
A= 34500*0.677
A=$23356.5
Hence the worth will be $23356.5
For the equation 3(7 + x) = 3x + k, what value of k will create an equation with no solutions?
Answers
Enter a positive value for b that makes this statement true: 16 x b is greater than 16 but less than 32.
Answers
Answer:
24
Step-by-step explanation:
24
Answer:
1.5
Step-by-step explanation:
16 x 1.5 =24
24 is greater than 16 and less than 32
Yesterday, 20 bakery customers bought muffins and 11 of those customers bought banana muffins. If 100 customers buy muffins tomorrow, how many would you expect to buy a banana muffin?
Answers
Answer:
55
Step-by-step explanation:
Make a proportion.
11/20=x/100
20*5=100, 11*5=55
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!
Answers
The tallest is 2 7/8
The shortest is 1 3/4
Difference = 2 7/8 - 1 3/4 = 1 1/8
Isaac owes \$8,100$8,100 on his credit card. The bank charges an annual interest rate of 21.9%, compounded monthly. If Isaac wants to pay off his credit card using equal monthly payments over the next 16 months, what would the monthly payment be, to the nearest dollar?
Answers
Answer:
[tex]M=\$605.58[/tex]
Step-by-step explanation:
From the question we are told that:
Issac's Debit [tex]P=\$8100[/tex]
Annual interest rate [tex]r=21.9\%[/tex]
Number of payments [tex]n=16[/tex]
Generally the equation for Monthly payment is mathematically given by
[tex]M=\frac{Pr}{1-(1+r)^-^n}[/tex]
[tex]M=\frac{1800*0.0219}{1-(1+0.0219)^-^{16}}[/tex]
[tex]M=\$605.58[/tex]
Therefore Payment for each month is given as
[tex]M=\$605.58[/tex]
Identify the measures of exterior angle below. Let x = 15
Answers
If the surface area of a cube is 294 in² and the surface area increased by a scale factor of 3, what is the area of the enlarged cube?
Answers
Answer: [tex]882\ in.^2[/tex]
Step-by-step explanation:
Given
The surface area of the cube is [tex]294\ in.^2[/tex]
Surface area is increased by a scale factor of 3
Enlarged surface area is
[tex]\Rightarrow 294\times 3=882\ in.^2[/tex]