Answers
Answer:
Option C
Step-by-step explanation:
Given expression is [tex]\frac{-5x^3+2x^2+9x+2}{(x^2+2)^2}[/tex]
Option A
[tex]\frac{A}{x^2+2}+ \frac{Bx+C}{(x^2+2)^2}[/tex]
= [tex]\frac{A(x^2+2)}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}[/tex]
= [tex]\frac{Ax^2+2A+Bx+C}{(x^2+2)^2}[/tex]
Numerator is a quadratic polynomial, while the expression has the numerator as a cubic .
Therefore, both the expressions are not equivalent.
Option B
[tex]\frac{A}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}[/tex]
= [tex]\frac{A+Bx+C}{(x^2+2)^2}[/tex]
Here, numerator of the expression is a linear polynomial which is not equal to given expression.
Therefore, both the expressions are not equivalent.
Option C
[tex]\frac{Ax+B}{(x^2+2)}+ \frac{Cx+D}{(x^2+2)^2}[/tex]
= [tex]\frac{(Ax+B)(x^2+2)}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}[/tex]
= [tex]\frac{Ax^3+Bx^2+2Ax+2B+Cx+D}{(x^2+2)^2}[/tex]
= [tex]\frac{Ax^3+Bx^2+x(2A+C)+D}{(x^2+2)^2}[/tex]
Here, numerator is a cubic polynomial.
Therefore, both the expressions are equivalent.
Option D
[tex]\frac{Ax+B}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}[/tex]
= [tex]\frac{x(A+C)+(B+D)}{(x^2+2)^2}[/tex]
Numerator is a linear polynomial.
Therefore, sum is not equal to the given expression.
Option C will be the answer.
Related Questions
Pls help me if you can I really need help
Answers
Answer:
y = 1/10x
Step-by-step explanation:
We see that it intersects points (60,6), (120,12), and (0,0)
y = mx + b
m = 6/60 = 1/10
b = 0
y = 1/10x
Convert 8 weeks into days.
*Note: you must use these exact conversion factors to get this question right.
1 minute (min) = 60 seconds (sec) 1 week (week) = 7 days (days)
1 hour (hr) = 60 minutes (min)
1 month (month) = 30 days (days)
1 day (day) = 24 hours (hr)
1 year (year) = 365 days (days)
Answer:
days
Submit Answer
atte
Answers
Answer:
Tris-HCl (0.5M Tris Base, pH7.6):
Trizma Base ---------------------------------- 61 g
Distilled water ------------------------------- 1000 ml
Adjust pH 7.6 using concentrated HCl
Store this solution at room temperature. Dilute 1:10 with distilled water before use
and adjust pH if necessary.
20X Tris-HCl (1M Tris Base, pH7.6):
Trizma Base ---------------------------------- 122 g
Distilled water ------------------------------- 1000 ml
Adjust pH 7.6 using concentrated HCl
Store this solution at room temperature. Dilute 1:20 with distilled water before use
and adjust pH if necessary.
10X Tris-HCl-Tween 20 (0.5M Tris Base, 0.5% Tween 20, pH7.6):
Trizma Base ---------------------------------- 61 g
Distilled water ------------------------------- 1000 ml
Adjust pH 7.6 using concentrated HCl and then add 5 ml of Tween 20.
Store this solution at room temperature. Dilute 1:10 with distilled water before use
and adjust pH if necessary.
Note: Tris-HCl Buffer is used for specific cases of immunohistochemical staining.
*** OR you can use Tris Base to make Tr
PLEASE HELP!!!!⚠️
the last equation is “3/5x=12” if you can answer that as well thank you.
Answers
Answer:
x=20
Step-by-step explanation:
1. Divide 2/3 by both sides, and you get y = 30.
2. Divide 0.2 by both sides, and you get x = -80
3. Divide 0.8 by both sides, and you get n = 2.5
4. Divide 3/4 by both sides, and you get m = 16
5. Divide -0.4 by both sides, and you get k = -70
6. Divide 3/5 by both sides, and you get h = -10
7. Divide -0.5 by both sides, and you get y = 40
8. Divide 3/5 by both sides, and you get x = 20
I hope this helped! For the fractions, just divide the fraction and divide by both sides with the decimal, and you will get the answer!
Finding percents
1 is 25% of what number?
Answers
Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work
Answers
Answer:
12 ×$0.75 =$8.00
3.75 ÷ 5 = $1.33 a pound,
$1.33 × 12 = $15.96 so store A is offering the best rate.
It is found that Store B is offering the best unit rate for the bananas.
What is unit rate?There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.
Given that Grocery Store A is selling bananas 1/2 pound for $0.75 .
Grocery Store B is selling 5 pounds of bananas for $3.75.
According to the question,
Store A is selling bananas 1/2 pound for $0.75 .
Therefore,
For one pound will be;
= 0.75/0.5
= 1.5
And store B is selling 5 pounds of bananas for; $3.75
Therefore,
One pound will cost;
3.75/ 5 = 0.75
Hence, Store B is offering the best unit rate for the bananas.
To know more about the Division click the link given below.
brainly.com/question/19704059
#SPJ6
PLEASE HELP!!! Find the length of the missing side of the right triangle,
13 yd
Syd
A. 194 yd
B 13.93 yd
C. 144 ya
D. 12 yd
Answers
Answer:
12
Step-by-step explanation:
For these problems you should use the pythagorean theorem: a^2+b^2=c^2
In this case, 13=c and 5=a
so:
5^2+x^2=13^2
25+x^2=169
subtract 25 from both sides
x^2=144
√144=12
missing side=12
9 gal 1 qt - 5 gal 3 qt
Answers
- 2x – 117 = = 10x + 59
Answers
Answer:
[tex]\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}[/tex]
Step-by-step explanation:
[tex]-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}[/tex]
Can someone plz help
Answers
Answer:
Step-by-step explanation:
x = 100° ( being vertically opposite angles )
hope it helps :)
May I please have brainliest?
All the answers you need is at the top
Answers
Answer:
I don't know if you need help, but the answer to the question in the picture is indeed A. :)
If the area of a triangle is 2x2−2x−4
and it has a height of x−2
write the length of the triangle.
Answers
Answer:
Step-by-step explanation:
area = ½(base)(height) = 2x²-2x-4
½(base)(x-2) = 2x²-2x-4
½(base) = (2x²-2x-4) ÷ (x-2) = 2x+2
base = 4x+4
Are they all right? If not please tell me what the answers are. Thanks! (Math)
Answers
Answer:
yes the all are right.
Step-by-step explanation:
Pqrs is a rhombus find the value of x and y
Answers
Answer:
x = 90 degrees
y = 28 degrees
Step-by-step explanation:
x: all the angles in the middle are 90
y: 180 - 90 - 62 = 28
What is the step by step equation to solve 5 (y + 2/5) = -13
Answers
5( y + 2/5) = -13
Distribute the 5 by multiplying the 5 by each term inside the set of parentheses:
5y + 2 = -13
Subtract 2 from both sides:
5y = -15
Divide both sides by 5:
Y = 3
The answer is y = 3
Answer for 25 points
Answers
Answer:
think its 4 and 6
Step-by-step explanation:
Please open each section so i can answer
Identify at least one confounding variable that undermines the conclusion drawn in the following fictional study:
Prof. Acosta was interested in which of two popular statistics textbooks (Statistics: It Will Change Your Life and Statistics: Bigger, Better, Stronger) was better for students. Prof. Acosta compared the two texts by assigning one text to a section of statistics taught by Prof. Agnew from 10 to 11 a.m. on Monday, Wednesday, and Friday, and the other text to a section of statistics taught by Prof. Alvarez from 7 to 10 p.m. on Wednesday evenings. At the end of the term, all students took the same comprehensive test. Students to whom Statistics: Bigger, Better, Stronger was assigned performed better on the test than did students to whom Statistics: It Will Change Your Life was assigned. Therefore, Prof. Acosta concluded that the former textbook was the better one.
Answers
Answer:
Identifying at least one confounding variable that undermines the conclusion drawn in the fictional study is:
All students took the same comprehensive test.
Step-by-step explanation:
In a study, an independent variable causes an effect on the dependent variable. But a confounding variable is the variable that influences the independent variable as well as the dependent variable. If this third variable is not controlled, it might lead the researcher to make a wrong estimate of the relationship that exists between the independent variable and the dependent variable.
solve m the propotion m−15=9?
Answers
Answer:
24
Step-by-step explanation:
1st u do the inverse which is 15+9=24
24-15=9
Hello! I’m struggling with this question just if someone could help me!
Answers
Answer:
Assuming the question is about the area of the "house" it's 70.
Step-by-step explanation:
The triangle's height is 18 - 10 = 8
The area of the rectangle is 5 * 10 = 50
The area of the triangle is 5 * 8 / 2 = 20
The total area is 50 + 20 = 70
PLS HELP ASAP GIVING BRAINLIEST
PLZPLZPLZPLZPLZPL
Answers
1.5 im sorrry again if im wrong:(
Step-by-step explanation:
im sorry if i am wrong
Answer:
178.64 square cm
Step-by-step explanation:
5.8 x 8.8 x 2 = 102.08
8.8 x 8.7 = 76.56
76.56 + 102.08 =
178.64
Hope that helps!
Figure D'E'F'G'is a dilation with center (0,0) of figure DEFG. What is the scale factor? Enter your answer in the box.
Answers
The scale factor is 4.
Important information:
Figure D'E'F'G' is a dilation with center (0,0) of figure DEFG. Scale factor:From the given figure it is clear that:
DG = 2
D'G' = 8
The scale factor is:
[tex]k=\dfrac{D'G'}{DG}[/tex]
[tex]k=\dfrac{8}{2}[/tex]
[tex]k=4[/tex]
Therefore, the scale factor is 4.
Find out more about 'Scale factor' here:
https://brainly.com/question/19896181
write the fraction or mixed number as a percent.
5/6
Answers
What is the value of m?
Answers
The "M" in M-value stands for "Maximum." For a given ambient pressure, an M-value is defined as the maximum value of inert gas pressure (absolute) that a hypothetical "tissue" compartment can "tolerate" without presenting overt symptoms of decompression sickness (DCS).
Hope this helps you if it does pls mark me brainiest
Lin and Diego both ran for 10 seconds, each at their own constant speed. Lin
ran 40 meters and Diego ran 55 meters.
Han ran 100 meters in 20 seconds at a constant speed. Is this speed faster,
slower, or the same as Lin's? Diego's?
Answers
Answer:
faster then the other one
find the limit if it exists lim x→0 sqrtx+7-sqrt7 over x
Answers
Answer:
[tex] \frac{1}{ 2\sqrt{7} } [/tex]
Step-by-step explanation:
[tex] \lim_{x\to 0} \frac{ \sqrt{x + 7} - \sqrt{7} }{x} \\ \\ = \lim_{x\to 0} \frac{( \sqrt{x + 7} - \sqrt{7}) }{x} \times \frac{( \sqrt{x + 7} + \sqrt{7}) }{( \sqrt{x + 7} + \sqrt{7}) } \\ \\ = \lim_{x\to 0} \frac{( \sqrt{x + 7} )^{2} - (\sqrt{7})^{2} }{x( \sqrt{x + 7} + \sqrt{7})} \\ \\ = \lim_{x\to 0} \frac{( {x + 7} - {7}) }{x( \sqrt{x + 7} + \sqrt{7})} \\ \\ = \lim_{x\to 0} \frac{ {\cancel x}}{\cancel x( \sqrt{x + 7} + \sqrt{7})} \\ \\ = \lim_{x\to 0} \frac{ {1}}{\sqrt{x + 7} + \sqrt{7}} \\ \\ = \frac{1}{ \sqrt{0 + 7} + \sqrt{7} } \\ \\ = \frac{1}{ \sqrt{7} + \sqrt{7} } \\ \\ = \frac{1}{ 2\sqrt{7} } [/tex]
Explain how to do (2^-2/3^3)^4 i need to know how to do this.
Answers
Answer:
((2^(-2))÷(3^3))^4=
Step-by-step explanation: expand
What is the perimeter of each figure?
2x
2x
X-8
x + 2
1
Answers
Answer:
triangle: 5x-8
square: 4x+8
Step-by-step explanation:
triangle: 2x + 2x + x -8
combine like terms
= 5x-8
square: x + 2 + x + 2 + x + 2 + x +2
combine like terms
= 4x + 8
A and B are complementary angles. If m_A= (2x + 10)° and m
ZB = (3x + 15)°, then find the measure of ZB
Answers
Step-by-step explanation:
<A + < B = 90° { being complementary angles)
2x + 10° + 3x + 15° = 90°
5x = 90° - 15° - 10°
5x = 65°
x = 13°
Now
<B = 3x + 15° = 3 *13° + 15° = 54°
Hope it will help :)
In the figure below, m ADB = 268°. Find m ZACB.
Answers
Answer:
88
Step-by-step explanation:
How is Pythagorean theorem and geometric mean related?
Answers
Answer:
The two triangles formed are also similar to each other. The measure of the altitude drawn from the vertex of the right angle to the hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
Step-by-step explanation:
What is the area of composite shape
Answers
Answer:
30
Step-by-step explanation:
Answer:
you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
Step-by-step explanation:
That is your step by step and yur answer