Which expression represents the correct form for the quotient and remainder, written as partial fractions, of
Answers
Answer:
[tex]C)~A+ \frac{B}{x-3} +\frac{c}{(x-3)^2}[/tex]Step-by-step explanation:
→ [tex]\frac{(7x^2-40x+52)}{(x^2-6x+9)}[/tex]
→ [tex]\frac{7x^2-40x+52}{x^2-2.3x+(3)^2}[/tex]
→ [tex]\frac{7x^2-40x+52}{(x-3)^2}[/tex]
So, your answer is C
[tex]----------[/tex]
hope it helps...
have a great day!!
The partial fractions is to start with the simplified, and "decompose" the expression into initial polynomial fractions, and the calculation is as follows:
Partial fractions:The degree of the fraction must be strictly less than the degree of the denominator required to conduct partial fractions. It's critical to keep that in mind. So, once we've established that partial fractions are possible, we factor the denominator to the greatest extent possible.[tex]\to \frac{7x^2-40x+52}{x^2-6x+9}\\\\\to \frac{7x^2-40x+52}{x^2-(3x-3x)+9}\\\\\to \frac{7x^2-40x+52}{x^2-3x+3x+9}\\\\\to \frac{7x^2-40x+52}{x(x-3)+3(x+3)}\\\\\to \frac{7x^2-40x+52}{(x-3)^2}\\\\\to \frac{7x^2-40x+52}{(x-3)^2}\\\\\to A+ \frac{B}{(x-3)}+\frac{C}{(x-3)^2}\\\\[/tex]
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Related Questions
Solve for c.
c2−9 = b2
Answers
Can someone help me with this?
Answers
Answer:11 weekends
Step-by-step explanation:
it will take 11 weekends
Solve for x: 0.4x - 3 = 1.4
Answers
Answer: x = 11
Step-by-step explanation:
First, add 3 to both sides
0.4x - 3 = 1.4
+3 +3
0.4x = 4.4
Then, divide each side by 0.4 to isolate x
x = 11
Someone please help with this! I’ll give brainliest.
With full working
Answers
Answer:
k = -2
Step-by-step explanation:
The value of k is -2
cuz the point D is marked at (1,-2)
hola me pueden ayudar es para hoy pliss doy coronita ✨
Answers
Answer:
Step-by-step explanation:
A. 62
B. 58
C. -19
Write 1 and 6/7 as an improper fraction.
Answers
Answer:
13/7
Step-by-step explanation: YW :)
Answer:
[tex] \frac{13}{7} [/tex]
Step-by-step explanation:
7×1+6/7
13/7
plz mark as brainliest
WAT IS GOOGOLPLEX PLZ HLP
Answers
Answer:
number
equivalent to ten raised to the power of a googol.
Step-by-step explanation:
A googolplex is the number 10, or equivalently, 10. Written out in ordinary decimal notation, it is 1 followed by 10¹⁰⁰ zeroes; that is, a 1 followed by a googol zeroes
⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ a(1)=20 a(n)=a(n−1)−17 third term
Answers
The third term of the arithmetic sequence will be negative 14.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term is 20 and the common difference is calculated as,
aₙ = aₙ₋₁ - 17
aₙ - aₙ₋₁ = - 17
d = - 17
Then the third term is calculated as,
a₃ = 20 + (3 - 1) (-17)
a₃ = 20 + 2 (-17)
a₃ = 20 - 34
a₃ = - 14
The third term of the arithmetic sequence will be negative 14.
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what is the area of 3 2/3 X 2
Answers
Answer:
7.33333333333
Step-by-step explanation:
this was easy i did it in my head
What are the 4 names of an angle?
Answers
The four names of an angle are acute angle, right angle, obtuse angle, and reflex angle.
An acute angle measures less than 90 degrees.
A right angle measures exactly 90 degrees.
An obtuse angle measures greater than 90 degrees but less than 180 degrees.
A reflex angle measures greater than 180 degrees but less than 360 degrees.
It's worth noting that these names are based on the measure of the angle, an acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a reflex angle is greater than 180 degrees but less than 360 degrees.
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Find the nearest tenth
Answers
Answer:
8.6
Step-by-step explanation:
Mean = Sum of numbers/amount of numbers
= (11+13+8+9+4+8+7)/7
= 60/7
= 8.6
Please help if you can ik it is Pythagorean theorem
Answers
Step-by-step explanation:
A = (1/2)bh ---> h = 2A/b = 2(12 cm^2)/(5 cm) = 4.80 cm
---> x^2 = h^2 + (b/2)^2
= (4.8 cm)^2 + (2.5)^2
= 23.04 cm^2 + 6.25 cm^2
or x = 5.41 cm
Therefore, the perimeter P is
P = 2x + b = 2(5.41 cm) + 5 cm = 15.8 cm
please no links or anything but the correct answer!
Answers
Answer:
sinD ≈ 0.44
Step-by-step explanation:
sinD = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{CE}{CD}[/tex] = [tex]\frac{39}{89}[/tex] ≈ 0.44 ( to the nearest hundredth )
HELP ASAP!!!!
A person is standing 19 feet from the base of a tree and there is a bird's nest in the tree 10 feet above the groundWhat is the angle off elevation from the person to the bird's nest? Round to the nearest tenth of a degree
Answers
Answer:
do your own work don't ask any question
is it positive, negative or is it zero
Answers
Answer:
What do you mean?
Step-by-step explanation:
the cost per box!! please help (will mark first answer as brainliest!)
Answers
Answer:
$1.20
Step-by-step explanation:
Just divide $3.60 by 3. If that's the price of 3 boxes, dividing it by 3 will estimate it to how much 1 box will cost.
Answer:
$1.20 per box
Step-by-step explanation:
Hope this helps :)
What is the area of the figure, pls hurry 100 points
Answers
Answer:
25 1/6 square yardsStep-by-step explanation:
I am assuming you mean the area of the shaded figure.
So, let's do it this way.
Let's subtract the total area from the unshaded area:
7 1/4 x 6 = 43 1/2
Area of non-shaded = 18 1/3
Area of shaded = 43 1/2 - 18 1/3 = 25 1/6
Hope that helps! :)
-Aphrodite
ILL BRAINLIEST YOU PLEASE HELP ME
Answers
Answer:
B
Step-by-step explanation:
Theorem: If a quadrilateral has 2 sets of opposite sides congruent, 2 sets of opposite angles congruent, and has consecutive angles which are supplementary, then it is a parallelogram.
Hope this helps!
Which function is shown on the graph?
of(x) = 1/2cos x
of(x) = -1/2cos x
Of(x) = -1/2sin x
Of(x) = 1/2sin x
Answers
The reasons and responses to the graphs in the question are as follows:
Graph 1.
The amplitude of the first graph is (1/2) which is the height from the midline to the peak
The value of the function at x = 0 is -(1/2), where sin(0) = 0, therefore, the function is a cosine function
The period of the graph is 2·π, which is the period of the parent cosine function
Therefore, the correct option is
Graph 2: Please find attached the graph of the function g(x) = 2×cos(x)
Graph 3: The frequency of a sinusoidal function is given as follows;
The period of the graph = π
Therefore;
The frequency of the sinusoidal graph is 2
Graph 4. Required:
To find the equation that represents the function of the graph
Solution;
The period of the function, T = π
The graph of the function has a maximum at x = 0, therefore, the graph is similar to a cosine function, y = cos(B·x)
Where;
B = 2·π/T
Therefore;
B = 2·π/π = 2
Therefore;
The equation that represent the function in the graph is f(x) = cos(2·x)
Question 5. The given function is f(x) = cos(2·x)
The frequency factor in the given function, B = 2
The period, T = 2·π/B
Therefore, T = 2·π/2 = π
The period of the function, f(x) = cos(2·x), is 2
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13yd 2ft 6in x 15 =
i need to know the answer to this problem
Answers
Using the unit conversion and converting all the distance units to inches, The final answer is 7575 inches.
What do you mean by unit conversion?Divide the smaller unit's value by the quantity of smaller units required to create the larger unit. Multiply to change from a larger to a smaller unit. Divide to change from a smaller unit to a larger one. We need to convert between units in order to ensure accuracy and prevent measurement misinterpretation. For example, we do not measure a pencil's length in kilometers. In this situation, one must convert from kilometers (km) to centimeters (cm).
What do you mean by equations?An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics.
13 yard = 468inches
2ft = 24 inches
total 268+24+13 = 505inches
505*15 = 7575 inches
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"Jose wants to put wall-to-wall carpeting in a rectangular room that measures 11 feet by 12 feet. The carpet costs $4.12 per square foot. How much will it cost for Jose to buy the carpet for the room? Write your answer in the box. you may use the sketch area to draw a diagram or show where, if you would like!"
links will be reported
Answers
Answer:
$543.84
Step-by-step explanation:
Find the area of the room:
11*12 = 132ft^2
Multiply the area by the cost per square foot:
132*4.12 = 543.84 dollars
A retailer is offering 5% off your total order, if you sign up for their email list. If your total is $254.20, how much will you save by signing up?
Answers
Answer:
$254.20 - 5%= 241.49 US$
so you will save up to 14
What is the nth term rule of the linear sequence below?
6, 13, 20, 27, 34, . . .
Answers
Answer:
7n - 1
Step-by-step explanation:
notice that the difference between adjacent terms is 7.
so nth term is given by:
nth term = first term + (n-1)×difference (n is any number)
= 6 + (n-1)7
= 6+ 7n -7
= 7n - 1
hope this helps :-))
The point N(-2,-3) is rotated 270° clockwise about the origin. What are the coordinates of N'?
A. (-3,-2)
B. (-3,2)
C. (3,-2)
Answers
The coordinate of N' is (2, -3)
Now, According to the question:
We have the point n (-2, -3) and we need to rotate it 270 degrees clockwise about the origin.
When rotating 270 clockwise about the origin you switch the x and y coordinate and use the opposite sign of the original y coordinate.
A(x, y) becomes A' (-y, x)
This means that point N becomes:
N (-2, -3) => N'(-(-2), (-3))
=> N'(2,- 3)
Hence, The coordinate of N' is (2, -3)
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Identifying Characteristics of an Exponential Function
Consider the function f(x) = (6). What is the value of the growth factor of the function?
02
06
O 18
Answers
The function be f(x) = (6) then growth factor for the given equation (b) = 6.
What is meant by exponential growth function?Quantity grows exponentially over time. It happens when a quantity's instantaneous rate of change with regard to time is proportional to the quantity itself.
A function called exponential growth illustrates an expansion within a population that happens at the same pace across time. When a population's per capita growth rate remains constant across time, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
The general exponential growth function is given by :-
[tex]$f(t)=A b^t$[/tex] , where A is the initial amount , b is the growth factor and t is the time period.
The given function : [tex]$f(x)=(6)^x$[/tex]
When we compare it to the general exponential equation , we get
The growth factor for the given equation (b) = 6.
The complete question is:
Consider the function f(x) = (6)x. What is the value of the growth factor of the function?
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The function be f(x) = (6) then growth factor for the given equation (b) = 6.
What is meant by exponential growth function?Quantity grows exponentially over time. It happens when a quantity's instantaneous rate of change with regard to time is proportional to the quantity itself.
A function called exponential growth illustrates an expansion within a population that happens at the same pace across time. When a population's per capita growth rate remains constant across time, regardless of population size, exponential growth occurs, causing the population to grow exponentially as the population increases.
The general exponential growth function is given by :-
F(t) = AB^t, where A is the initial amount , b is the growth factor and t is the time period.
The given function : f(t) = (6)^x
When we compare it to the general exponential equation , we get
The growth factor for the given equation (b) = 6.
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The complete question is:
Consider the function f(x) = (6)x. What is the value of the growth factor of the function?
Solve for x. Assume that lines which appear tangent
Answers
Answer:
Step-by-step explanation:
Join line EG with a straight edge.
Put a point in the middle of the circle.
Call it O.
GO and EO form a central angle.
GOE = 120 degrees
Any point on the circumference of a circle that is on the same side of EG as the peak of the central angle = 1/2 the central angle. It's much easier to do this with an example
Arc EOG = 120 degrees. The Central angle = the arc.
EFG = 1/2 EOG
EFG = 1/2 120
EFG = 60
11x + 5 = 60 Given
-5 -5 Subtract 5 from both sides.
11x = 55 Divide by 11
x = 55/11
x = 5
Please help will give brainliest
Answers
Estimate how many times larger 1.9 • 10^-8 is than 4.2 • 10^-13
Answers
Answer:
Step-by-step explanation:
a.[tex]1.9[/tex]·[tex]10^{-8}[/tex]=190000·[tex]10^{-13}[/tex]
b.so 190000÷4.2=4523
c.finally, about 4523 times
The first number, 1.9 • 10^-8, can be written as 0.00000019.
The second number, 4.2 • 10^-13, can be written as 0.000000000000042.
We can see that 1.9 • 10^-8 is much larger than 4.2 • 10^-13, as it has more trailing zeros. We can estimate that 1.9 • 10^-8 is about 45 times larger than 4.2 • 10^-13.
We can confirm this by counting the difference in the number of trailing zeros in both numbers. 1.910^-8 has 8 trailing zeroes and 4.210^-13 has 13 trailing zeroes, meaning 1.910^-8 is 8-13= -5 orders of magnitude larger than 4.210^-13
99 Divided by 2=48 r1 is that true or faulse
Answers
Answer:
Yes, the answer is 'True'
Find the equation of the line that passes through (1,3) and is perpendicular to y=1−2x. Leave your answer in the form y=mx+c
Answers
Answer:
The equation of the line that passes through (1,3) and is perpendicular to y=1−2x is y=1/2x+5/2
Step-by-step explanation:
We can rewrite the original equation as y=-2x+1
To find an equation's perpendicular slope, you take the reciprocal of it and negate it, therefore the perpendicular slope is -2 -> 1/-2 -> 1/2
So far, we have y=1/2x+b, but to find the y-intercept, b, we would need to plug in (1,3) and solve for b:
y=1/2x+b
3=1/2(1)+b
3=1/2+b
5/2=b
Therefore, your final equation is y=1/2x+5/2