Answer: -5 < x < -2 or (-5, -2)
Step-by-step explanation:
Graph- (-5, -2)
Inequality- -5 < x < -2
❊ Simplify :
[tex] \large{ \bf{ \frac{x - 1}{ {x}^{2} - 3x + 2} + \frac{x - 2}{ {x}^{2} - 5x + 6 } + \frac{x - 5}{ {x}^{2} - 8x + 15 } }}[/tex]
[tex] \large{ \tt{ans : \bf{ \frac{3x - 7}{(x - 2)(x - 3)} }}}[/tex]
- Show your workings *
- Irrelevant / Random answers will be reported!
[tex]\red{\frak{Given}}\Bigg\{ \sf \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } [/tex]
[tex]\rule{200}4[/tex]
[tex]\sf\longrightarrow \small \dfrac{x - 1}{ {x}^{2} - 3x + 2} + \dfrac{x - 2}{ {x}^{2} - 5x + 6 } + \dfrac{x - 5}{ {x}^{2} - 8x + 15 } \\\\\\\sf\longrightarrow \small \dfrac{ x-1}{x^2-x -2x +2} +\dfrac{ x-2}{x^2-3x-2x+6} +\dfrac{ x -5}{x^2-5x -3x + 15 } \\\\\\\sf\longrightarrow\small \dfrac{ x -1}{ x ( x - 1) -2(x-1) } +\dfrac{ x-2}{x ( x -3) -2( x -3)} +\dfrac{ x -5}{ x(x-5) -3( x -5) } \\\\\\\sf\longrightarrow \small \dfrac{ x -1}{ ( x-2) (x-1) } +\dfrac{ x-2}{( x -2)(x-3) } +\dfrac{ x -5}{ (x-3)(x-5) } \\\\\\\sf\longrightarrow\small \dfrac{ 1}{ x-2} +\dfrac{ 1}{ x -3} +\dfrac{1}{ x -3} \\\\\\\sf\longrightarrow \small \dfrac{1}{x-2} +\dfrac{2}{x-3} \\\\\\\sf\longrightarrow \small \dfrac{ x-3 +2(x-2)}{ ( x -3)(x-2) } \\\\\\\sf\longrightarrow \small \dfrac{ x - 3 +2x -4 }{ (x-3)(x-2) } \\\\\\\sf\longrightarrow \underset{\blue{\sf Required \ Answer }}{\underbrace{\boxed{\pink{\frak{ \dfrac{ 3x -7}{ ( x -2)(x-3) } }}}}}[/tex]
[tex]\rule{200}4[/tex]
Answer:
Your solution ..................
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
The two INTEGERS are :-
-3 and +4
-3 * (+4) gives us -12
-3 + (+4) gives us 1
hope it helps
have a nice day
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3.
I need help with my math!!!!!!!
Answer:
B is the answer because the graph is translated 2 down. the translation cannot be included within the radical sign, so it can't be C
Write the equation of the line perpendicular to 7y - 35x = 21 that passes through the point (10,-8).
Answer:
y = -1/5x - 6
Step-by-step explanation:
7y - 35x = 21 7y = 35x + 21 y = 5x + 3
y = -1/5x + b
-8 = -1/5(10) + b
-8 = -2 + b
-6 = b
Which best describes the vertex of the graph?
a (-3, -4)
b (-3, -4)
c (3, -4)
d (3, -4)
Answer: C
Step-by-step explanation:
Use the distributive property to write the next step in simplifying the numerical expression. Use the asterisk symbol (*) to represent multiplication. Do not multiply factors fully and do not use spaces. 4(x + 9)
Answer:
This is the expression:
4*x+4*9
Freebie!! Enjoy! Have a good day!
“Never follow anyone else’s path. Unless you’re in the woods and you’re lost and you see a path. Then by all means follow that path.”
—Ellen DeGeneres
Answer:
You as well!
Step-by-step explanation:
Work out the area of the shaded shape.
Hi there!
[tex]\large\boxed{77m^2}}[/tex]
We can divide the figure into 3 rectangles.
Area of top rectangle:
5 × 5 = 25m²
Long rectangle:
14 × 3 = 42m²
Bottom rectangle:
2 × 5 = 10m²
Add up the areas:
10 + 42 + 25 = 77m²
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Write using exponents.
5.5.5. b. b. b.b
1 2 3 4 5 6 89
F9 CDI
a|b|x
NEXT QUESTION
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Find the angle between u = (8,-3) and v = (-3,8). Round to the nearest tenth of a degree.
PLSSS help me solve this question
Answer:
(3,-5)
Step-by-step explanation:
The line y=-x is a positively sloped line that when reflected across changes all signs to their opposite counterpart. Positivee to negative, negative to positive.
How do you graph this ,helppppppppp
Given : AB = BC and BC = CD, AB = 3x - 1 and CD = 2x + 3 Prove: BC = 11 plz help me
Answer:
Given
Given
Transitive
Substitution
Subtraction
Addition
Substitution
Multiplication
Hard to see list of options. But this should help.
Given
Given
Transitive
substitution property of equality
Subtraction property of equality
Addition property of equality
multiplication property of equality
Simplify
simplify
What is substitution?Substitution means putting numbers in place of letters to calculate the value of an expression.
What is transitive property?The transitive property states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”
What is addition and subtraction property of equality?The addition and subtraction property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
What is multiplication property of equality?The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.
According to the given question.
AB = BC and BC = CD ( Given)
AB = 3x - 1 and CD = 2x + 3 ( Given)
Since,
AB = BC and BC = CD
⇒ AB = CD (transitive)
Substitute the value of AB and CD in AB = CD
⇒ [tex]3x - 1 = 2x + 3[/tex] (substitution property of equality)
⇒ [tex]x -1= 3[/tex] (subtraction property of equality)
⇒ [tex]x = 4[/tex] (Addition property of equality)
Since,
AB = BC
⇒ AB= 3x -1
⇒ [tex]AB = 3(4) - 1[/tex] ( multiplication property of equality)
⇒ [tex]AB = 11[/tex] (simplify)
Therefore,
BC = 11 (simplify)
Find out more information about substitution, addition, subtraction and transitive property of equality here:
https://brainly.com/question/27810586
#SPJ3
Which of the following is a geometric sequence
Answer:
B.
Step-by-step explanation:
A geometric sequence is where a number is multiplied or divided by same number
in option be all number ar the power of 2 so the correct answer would be B
1/f = 1/d + 1/d'
How do I find d'?
The distance traveled (in meters) by a frog is modeled by the equation d=2t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 25 minutes.
Given,
d = 2t
here, t = 25
Therefore,
d = 2*25
= 50m
-5(x+4) + -3x + -9x+-7
Answer:
x - 27
Step-by-step explanation:
Our goal here is to solve for x.
Start by performing the indicated multiplication:
-5(x+4) + -3x + -9x+-7 => -5x - 20 - 3x + 9x - 7
Combine like terms: x - 27
Answer:
[tex]-5(x+4) + -3x + -9x+-7[/tex]
[tex]\longmapsto -5\left(x+4\right)+\left(-3\right)x+\left(-9\right)x+\left(-7\right)[/tex]
[tex]\longmapsto -5\left(x+4\right)-3x-9x-7[/tex]
[tex]\longmapsto -5(x+4)=-5x-20[/tex]
[tex]\longmapsto -5x-20-3x-9x-7[/tex]
[tex]\longmapsto =-17x-27[/tex]
[tex]ANSWER:=-17x-27[/tex]
-------------------------------
hope it helps....
have a great day!!
find the missing information
Answer:
?=83 degrees
Step-by-step explanation:
74+120=194
360-194=166
166÷2=83
You divide by two because it is an inscribed angle, so it will always be half the measure of the arc it is inscribing or enclosing.
What is dummy variable? Explain interaction effects using dummy variables? Explain Autoregressive Conditional Heteroskedasticity (ARCH) and Generalized Autoregressive Conditional Heteroskedasticity (GARH) models. What to do when find problem of Autocorrelation?
Answer:
u here then today the thats yjvfh dfnrugevc5hdb
The table represents a function
Which value is an output of the function?
46
f(x)
-2
-6
8
07
7
3
4
1-5
3
-2
-5
12
Answer:
Option (2)
Step-by-step explanation:
From the table attached.
First column is representing the x-values (input values) and second column is representing the value of the function (output values).
For x = -6,
f(x) = 8
For x = 7,
f(x) = 3
For x = 4,
f(x) = -5
For x = 3,
f(x) = -2
For x = -5,
f(x) = 12
Therefore, f(x) = -2 is one of the output values.
Option (2) will be the correct option.
The value that is an output of the function among the options is -2.
What is the output of a function?A function relates an input to an output.
A function relates each element of a set with exactly one element of another set.
Therefore, the output are the dependent variable. They are also called range.
Generally, they are regarded as range, output or dependent variables.
Therefore, the output of the table is f(x) values which includes the following:
83-5-2-12Hence, the output of the function in the option is -2.
learn more on functions here: https://brainly.com/question/26608835
Translate the sentence into an equation.
Nine times the sum of a number and 4 is 3.
---------please help asap---- ---------------
Answer:
Question 1:
SAT average divided by budget per student and
SAT average divided by teachers per student
Question 2:
Yes. According to both definitions, school A has the higher SAT average relative to the resources invested per student.
The midpoint, M , of segment AB has coordinates (2,−1) . If endpoint A of the segment has coordinates (−3,5) , what are the coordinates of endpoint B ?
The coordinates of endpoint B are?
the coordinates of endpoint B are (7,7)
Answer:
Solution given:
M(x,y)=(2,-1)
A[tex](x_{1},y_{1})=(-3,5)[/tex]
Let
B[tex](x_{2},y_{2})=(a,b)[/tex]
now
by using mid point formula
x=[tex]\frac{x_{1}+x_{2}}{2}[/tex]
$ubstituting value
2*2=-3+a
a=4+3
a=7
again
y=[tex]\frac{y_{1}+y_{2}}{2}[/tex]
$ubstituting value
-1*2=5-b
b=5+2
b=7
the coordinates of endpoint B are (7,7)
can someone please help me with my math assignment??? really need the answer today. And also please don't answer this if you didn't know or for just points
Answer:
it cost 80 dollars
Step-by-step explanation:
cost per bag for X brand =25 $
cost per bag for y brand = 20$
minimize Z=(25X +20 y)
further formulate the problem
the given constraints are
2x + y equal 12
2x + 9y equal 36
2x + 3y equal 24
well on the graph given plot of the constraints
the corner points are
(0;0)
(6;0)
(0;4)
(9;2.5)
minimum z occurs at (0:4)
value of Z(minimum cost)=80$
What is the value of the median ?
1. 8
2. 4
3. 6
4. -4
What is the solution to the equation 2(4-3x)+5(2x-3) = 20-5x7 O x= -13 5. O x= O x=1 13 2 O x = 3
Answer:
Step-by-step explanation:
what is it that you don't understand about how to get this?
2(4-3x) + 5(2x-3) = 20-5x
In the description of the following experiment, determine the experimental factor. A research team is testing a paste form of a drug to alleviate inflammation. Participants are grouped into Team A and Team B. Team A receives the paste form of the drug. Team B receives a similar paste with no active ingredients.
Answer:
The experimental factor is the drug to alleviate inflammation paste form
Step-by-step explanation:
An experimental factor is an independent variable that is being controlled by the experimenter which are the input values which the experimenter sets specifically
In the given experiment, two teams, Team A and Team B are administered different treatments (inputs)
Team A is administered the paste form of the drug being experimented
Team B is administered a similar paste with no active ingredient
Therefore, the experimental factor is the drug being administered in paste form
A television screen measures 35 cm wide and 26 cm high. What is the diagonal measure of the screen?
Answer:
43.6 (approximately)
Step-by-step explanation:
Diagonal measures of the screen is,
√(35²+26²)
= √(1901)
= 43.6 (approximately)
Answered by GAUTHMATH
We calculate the dioglonal using the Pythagorean theorem
[tex]\displaystyle\ C^2=A^2+B^2=> C=\sqrt{A^2+B^2} \ then \\\\C=\sqrt{26^2+35^2} =\sqrt{1225+676} =\sqrt{1901} \approx43.6\\\\Answer : the \:diagonal \:\:length is \:\underline{43.6}[/tex]
Help please
……………………..
Answer:
b ≈ 48.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin b = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{9}{12}[/tex] , then
b = [tex]sin^{-1}[/tex] ([tex]\frac{9}{12}[/tex] ) ≈ 48.6° ( to 1 dec. place )
A main purpose of doing an experiment over an observational study is to learn whether a certain _____ causes a certain response.
Answer:
condition
Step-by-step explanation:
An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
On the other hand, an observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).
Hence, the main purpose of doing an experiment over an observational study is to learn whether a certain condition causes a certain response.
Cause and effect can be defined as the relationship between two things or events in which an occurrence of one (cause) leads to the occurrence of another (effect).
