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.
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19 1/2 is 3/4 of what number?
Answer:
19.5 = 0.75x
x = 26
I hope this finds you well and have a great day.
please help! ASAP!!!!
Answer:
Part A) 2(n/6) - 9
Part B) the expression would change to 2(n/6) + 9 if it said 'more than'
Step-by-step explanation:
Find the area!
- please help!
Answer:
25 x 20 = 500
half of 25 = 12.5
12.5^2
156.25 x 3.14 = 490.625
490.625 divided by 2 = 245.3125
245.3125 + 500 = 745.3125 cm2 is your answer.
find the coordinates of the point where y-4x=1 crosses the y-axis
Answer:
(0, 1)
Step-by-step explanation:
y - 4x = 1 crosses the y-axis at (0, 1)
Answer:
(0,1)
Step-by-step explanation:
I need an answer! NO LINKS! PLS ill give brainlist!
The sum of two numbers is 52 and the difference is 16. What are the numbers?
Answer:
18
Step-by-step explanatio:a 52 le quitas la diferencia de 16 y da 36 que lo divides entre 2 y es 18 por lo que 18+18=36+16=52
Step-by-step explanation:
[tex]here \: is \: your \: solution \\ \\ let \: the \: first \: number \: be \: x \\ \\ let \: the \: second \: number \: be \: y \\ \\ now \: according \: to \: question \\ \\ x + y = 52 \\ \\ and \: x - y = 16 \\ \\ now \: add \: both \: equation \\ \\ we \: will \: get \: \\ \\ 2x = 68 \\ \\ x = 68 \div 2 \\ \\ x = 34 \\ \\ now \: put \: the \: value \: of \: x \: in \: equation \\ \\ 34 + y = 52 \\ \\ y = 52 - 34 \\ \\ y = 18 \\ \\ x = 34 \: and \: y = 18 \\ \\ hope \: it \: helps[/tex]
Represent 0.533 (only the last 3 is bar number) into a rational number
Answer:
[tex]\frac{8}{15}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating 3 placed after the decimal point.
let x = 0.5333.. ( multiply both sides by 10 and 100 )
10x = 5.333... → (1)
100x = 53.333... → (2)
Subtract (1) from (2) tus eliminating the repeating 3
90x = 48 ( divide both sides by 90 )
x = [tex]\frac{48}{90}[/tex] = [tex]\frac{8}{15}[/tex]
Answer:
IT IS 8/15
Step-by-step explanation: Divide and multiply the fraction from 100 to tens
Which expression is equivalent to x with the power of 2 +2x+2?
Answer:
The answer is the fourth one
Step-by-step explanation:
Ill mark brainliest, question is attached
Answer:
-15u^2
Step-by-step explanation:
How do you do this pls I need help
Answer:
416 cm2
Step-by-step explanation:
The formula for surface area of prism.
2Ab+ Pb*h
2(1/2)(12)(8)+ 32*10
= 96+320
= 416 cm2
if my answer helps please mark as brainliest.
solve for x. The segments labeled in the picture are the tangets.
Within the gulf war did javen work at sonic?
Answer:
yes for 2 hours then died
Step-by-step explanation:
LOLLLL LOOK HERE PIC
Due tonight.. *no links*
Answer:
49°
Step-by-step explanation:
106 + 135 + 70 + x = 360
311 + x = 360
x = 49°
A graph shows time (weeks) labeled 2 to 8 on the horizontal axis and height (inches) on the vertical axis. A line of orange dots increases from 0 to 9 weeks starting at 2 on the vertical axis. The graph shows the recorded heights of a plant in a soil experiment. Which statements describe the plant height function? Check all that apply. The function is linear. The function is quadratic. The height increases at a constant rate of change. The ratio of height and number of weeks is constant. There is no relationship between height and number of weeks.
Answer:
A.) The function is linear.
C.) The height increases at a constant rate of change.E
Step-by-step explanation:
Edge 2022
The function is linear and the height increases at a constant rate of change are the correct statements of the given graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Based on the description, it seems that the function is linear because the graph shows a line of dots that increases at a constant rate from 0 to 9 weeks.
Therefore, the following statements apply:
The function is linear.
The height increases at a constant rate of change.
Linear functions are those functions whose graph goes in a straight line. This function has one independent variable and one dependent variable.
The height increases at a constant rate of change. We can see as the time is increasing the height is increasing. We can determine this by slope of graph.
Hence, the function is linear and the height increases at a constant rate of change are the correct statements of the given graph.
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Cómo trazar Polígonos regulares utilizando material geométrico como la regla, compas y el graduador porfa ayuda
Answer:
En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.
Ferdinand is playing golf. He hits a shot off the tee box that
has a height modeled by the function h(t) = –16t2 + 80t,
where h(t) is the height of the ball, in feet, and t is the time
in seconds it has been in the air. The graph that models
the golf ball's height over time is shown below.
When does the ball reach its maximum height?
What is the maximum height of the ball?
Answer:
Maximum height of the ball = 100 m
Time to reach the maximum height = 2.5 seconds
Step-by-step explanation:
Function that models the height h(t) of the ball and time 't',
h(t) = -16t² + 80t
Convert this equation into vertex form,
h(t) = -16(t²- 5t)
= -16[t² - 2(2.5t) + (2.5)² - (2.5)²]
= -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²
= -16(t - 2.5)² + 16(6.25)
= -16(t - 2.5)² + 100
By comparing this equation with,
g(t) = a(x - h)² + k
Here, (h, k) is the vertex of the parabola.
Vertex of the given parabola will be → (2.5, 100)
Therefore, maximum height of the ball = 100 m
Time taken by the ball to reach the maximum height = 2.5 seconds
determine the domain of the following graph
Answer:
[-5, 10) or you can write [tex]-5\le x < 10[/tex]
Step-by-step explanation:
The domain is the set of all values of x used in the function. Scan across the graph from left to right (much as you do when reading). The first point you find on the graph has an x-coordinate 5 (see the solid dot?). Then, as you continue reading across the graph, there are values of x used until you get to 10. The dot at x = 10 is open, not filled in. That indicates that the number x = 10 is NOT used by the function.
So the domain is all real numbers greater than or equal to -5 and less than 10.
[-5, 10) is called interval notation; a square bracket means the value next to it IS used by the function, a parenthesis means the value next to it is NOT used.
Solve for x.
One side = 10
Another side = 9
One side = x
(It's a right triangle.)
Answer:
x = 4.3588989435406
I hope it's helps you
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Ms.Boyers is baking a cake for the holiday. She needs 3 cups of milk and 1 cup of corn syrup. How many ounces of milk and corn syrup does she need in all
Answer:
she will need 24 ounces of milk and 8 ounces of corn syrup
Step-by-step explanation:
let me know if im right good luck!
Answer:
[tex]48[/tex] oz of milk
[tex]16[/tex] oz of corn syrup
Step-by-step explanation:
[tex]3\times16=48\\1\times16=16[/tex]
plz help will mark brainlist
Answer:
1. 1/7
2. 1/4
Step-by-step explanation:
maths
There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?
Answer:
120
Step-by-step explanation:
10 x 20 = 200
thus 6 x 20 is 120
The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21
The possible functions are
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
How to determine the possible equations?The zeros are given as:
x = -7 and x = 3
Rewrite as:
x +7 = 0 and x - 3 = 0
Multiply both zeros
(x + 7) * (x - 3) = 0 * 0
Evaluate the product
x^2 + 7x - 3x - 21 = 0
Evaluate the like terms
x^2 + 4x - 21 = 0
Express as a function
f(x) = a(x^2 + 4x - 21)
Where a is a constant
Let a = 1, 2 and 5 (according to the values in the options)
f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)
f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)
f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)
Hence, the possible functions are (a), (b) and (c)
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Find the measure of arc FV
Answer:
FV = 60
Step-by-step explanation:
VG => 65 × 2 = 130
FH major arc=> 119 × 2 = 238
FH major arc - GH = FG
FG => 238 - 168 = 70
VG - FG major arc = FV
FV => 130 - 70 = 60
Answer:
60 degrees
Step-by-step explanation:
The measure of an inscirbed angle is half the measure of the intercepted arc.
(The measure of the arc is twice the measure of the angle!)
The inscribed angle at V intercepts an arc of 2 x 119 = 238 degrees, so the measure of arc FGH is 238. Subtract arc GH from that, 238 - 168 = 70, so that is the measure of arc FG.
The angle at H intercepts an arc with measure 2 x 65 = 130. The measure of arc VFG is 130. But arc FG is part of that, so subtract its measure from 130. 130 - 70 = 60.
The measure of arc FV is 60 degrees.
2. Antonio dispone de un capital de $9,000.00
en una cuenta al 4% de interés anual y o
sabiendo que el capital acumulado al cab
one de un capital de $9,000.00 dólares, del que una parte la deposita
enta al 4% de interés anual y otra al 5% anual. Calcula ambas partes
que el capital acumulado al cabo de un año es de $9,400.00 dólares.
Answer:
La respuesta al ejercicio es:
$4,000.00 al 5% anual.$5,000.00 al 4% anual.Step-by-step explanation:
Teniendo en cuenta que el capital inicial es de $9,000.00 y el capital tras un año es de $9,400.00, se identifica en primera instancia que la ganancia gracias al interés anual fue de $400, por lo cual se pueden tener en cuenta las siguientes variables:
x = monto de dinero al 5% anual.y = monto de dinero al 4% anual.Y el siguiente sistema de ecuaciones:
x + y = 9000x * 5% + y * 4% = 400En la segunda ecuación, cambiaremos los porcentajes para facilitar los cálculos posteriores:
2. x * 0.05 + y * 0.04 = 400
Lo cual también se puede representar como:
2. 0.05x + 0.04y = 400
Procedemos a despejar una variable, en este caso despejaré la variable y de la primera ecuación:
x + y = 9000y = 9000 - xY la reemplazaré en la segunda ecuación:
0.05x + 0.04y = 4000.05x + 0.04 (9000 - x) = 400Ahora operamos:
0.05x + 360 - 0.04x = 400Restamos las variables x:
0.01x + 360 = 400Y despejamos el valor real de x:
0.01x = 400 - 360x = 40 / 0.01x = 4000Ya que x es el monto de dinero puesto al 5% anual, ahora sabemos que dicho monto fue $4,000.00, por último, reemplazamos este valor en la primera ecuación para identificar el valor de y:
x + y = 90004000 + y = 9000y = 9000 - 4000y = 5000Por último, sabemos que el monto de dinero puesto al 4% fue $5,000.00.
Which is a reasonable estimate for 7473 - 2875
Answer: the answer is 4,598.
A relation R={(4,3)(5,4)(6,5)}then write its inverse
Answer:
R'={(3,4)(4,5)(5,6)}
Step-by-step explanation:
R={(4,3)(5,4)(6,5)}
R'={(3,4)(4,5)(5,6)}
uadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side PQ.
Found your answer to the nearest tenth if necessary.
Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars?
Answer:
average temperatures on mars, then you get the hottest temperatures...
Step-by-step explanation:
Which of the following relations is a function?
A. (0,4), (-3, 2), (5, 1), (-7, 2)
B. (0,0), (-3, 3), (5, 1), (-3, 5)
C. (5, 1), (-3, 4), (0, 1), (5,2)
D. (0,4), (-3, 6), (0, 3), (-7, 2)
Answer:
c is the one with function