what is the correct form of the partial fraction decomposition for: start fraction 35-27x over 4xsquared+28x endfraction
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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6-1 Area Word Problems
Pizza Palace's largest pizza box has side lengths of 18 inches. A customer wants to special order a pizza
with an area of 300 square inches. Will the pizza fit in one of Pizza Palace's pizza boxes?
Answer:
No,the pizza will not fit in the box
Step-by-step explanation:
Since the diameter of the pizza is 19.6 inches which is greater that the side length of the box, the pizza is longer than the side lengths of the box
to get the diameter of the pizza,Since the pizza is circular in shapeArea of a circle = π r²where r is the radius and the area is 300 inch²300 = 3.142 × r²[tex] {r}^{2} \: = \: \frac{300}{3.142} \\ {r}^{2} = 95.48 \\ r \: = \sqrt{95.48} \\ r \: = \: 9.8 \: inches[/tex]But diameter is two times the radius So.....diameter = 2r Diameter of the pizza = 2 × 9.8Diameter of the pizza = 19.6 inchesWhich expression is equivalent to x with the power of 2 +2x+2?
Answer:
The answer is the fourth one
Step-by-step explanation:
Consider this right triangle determine whether each equation is correct. Select yes or no for each equation
Answer:
where is the question?
Step-by-step explanation:
I don't see anything If he then " consider this right triangle determine whether each equation is correct select yes or no for each equation"
In ΔWXY, the measure of ∠Y=90°, WY = 8, YX = 15, and XW = 17. What ratio represents the tangent of ∠X?
Answer:
8/17
Step-by-step explanation:
Cual es la potencia de base 3 que corresponde al producto 3 elevado a 3,3elevao a menos 2y 9 elevado a menos
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:
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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1. A coin is tossed once, what is the probability of getting a head
Answer:
The answer is...1/2
Step-by-step explanation:
1- head
1-tail
To get head-1/2
Answer:
the answer is 1/2
Step-by-step explanation:
you have 2 sides each side a 50% chance
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
Within the gulf war did javen work at sonic?
Answer:
yes for 2 hours then died
Step-by-step explanation:
LOLLLL LOOK HERE PIC
Question 23 of 25 What is the probability of flipping a coin 85 times and getting tails 30 times or fewer? Round your answer to the nearest tenth of a percent. A. 99.8% B. 33.2% C. 0.4% D. 95.9%
Answer:
I think its B
Step-by-step explanation:
Due tonight.. *no links*
Answer:
49°
Step-by-step explanation:
106 + 135 + 70 + x = 360
311 + x = 360
x = 49°
Sixth grade is going on a field trip to Disney World. Tickets will cost each student $75.36. Parent tickets will cost $82.79 each. What will the total cost be for 36 students and 45 parents
Answer:
$ 6,438.51
Step-by-step explanation:
75.36 X 36 = 2,712.96
82.79 X 45 = 3,725.55
2,712.96 + 3,725.55 = 6,438.51
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.
Solve for the values of x and y:
y = 3x - 5 ........(i) and y = -x + 7 ........(ii)
Answer:
x= 3, y= 4
Step-by-step explanation:
y= 3x -5 -----(i)
y= -x +7 -----(ii)
Substitute (i) into (ii):
3x -5= -x +7
3x +x= 7 +5
4x= 12
x= 12 ÷4 (÷4 on both sides)
x= 3
Substitute x= 3 into (ii):
y= -3 +7
y= 4
What is the root when talking about a quadratic equation
The root is the x intercepts or the zeros of the problem
If I were to graph
(x-5)(x+4)=0
We need a number for x which makes this equation 0
The numbers are 5 or -4
These are the x intercepts of the parabola or roots
Answer:
The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.
Step-by-step explanation:
What is the missing number? 17- =8
Step-by-step explanation:
17-9=8 so your welcome byee
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]
uadrilateral JKLM is similar to quadrilateral NOPQ. Find the measure of side PQ.
Found your answer to the nearest tenth if necessary.
To keep her grades up madeline must earn more than 80 points on her science fair project. Let p represent the number of points she could earn.
Answer:
[tex]p > 80[/tex]
Step-by-step explanation:
Given
Points = More than 80
Required [Missing from the question]
Represent as an inequality
Let p represents the number of points.
More than means greater than i.e. >
Hence, more than 80 is represented as;
[tex]p > 80[/tex]
WILL GIVE BRAINLIESTTTT and 13 points
HELPPPPPPP
ONLY QUESTION B)
Answer:
2(n+1)+2
You start with two greens and two columns of two orange squares while adding two orange squares each time. So, the bolded part is the green squares that stay the same. The 2(n+1) represents the two orange columns that increase by one block on each side per image.
please helpppppppp , thank you!
Answer:
1/2 is likely but I'd rather go with 2
Choose the two right triangles.
Answer:
the first one and last one
You have tiles numbered 1-9 in a bag. What is the probability of drawing a multiple of 3,putting it aside, and then drawing the number 5
Answer:
1/18
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
Multiples of 3 between 1 - 9 = 3,6,9
Probability of picking a multiple of 9 = total multiples of 9 in the bag / total tiles in the bag
3/9
To transform to the simplest form. divide both the numerator and the denominator by 3
1/3
After picking the multiples of 3, the tiles are not replaced, tiles in the bag would now be 6
Probability of picking 5 = 1/6
1/6 x 1/3 = 1/18
plz help will mark brainlist
Answer:
1. 1/7
2. 1/4
Step-by-step explanation:
maths
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.
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)}
whats bigger a street or a track
Answer:
Most likely a street
Step-by-step explanation:
depends on how big the track is
HELP! Jameson works as a cashier in a music store. A customer wants to pay
for a CD that is on sale for 15% off the regular price of $18,00
15% off
Rock 'N' Roll
greatest HITS
The cash register is broken, and Jameson must calculate the price of the
CD using only a calculator
a. What is the sale price of the CD? Show or explain how you got your
answer
b. Jameson needs to add 6%
sales tax to the sale price of the CD. What
should Jameson charge the customer for the CD, including tax? Show
or explain how you got your answer.
c. The customer told Jameson that he could get the same answer and
save time by just taking 9% off the regular price of the CD, because
15% -6% is 9%. Is the customer right? Explain your reasoning.
LOOK AT PIC FOR HELP!
thanks
Answer:
A=15.30, b=16.22, c=no. 9% of 18 doesn’t equal 16.22
Step-by-step explanation:
