Answers
The domain of the function graphed in this problem is given as follows:
(-∞, -1) U (-1, ∞).
How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The vertical asymptote of the rational function graphed in this problem is given as follows:
x = -1.
Hence the function is defined for all real values except x = -1, meaning that the domain is given as follows:
(-∞, -1) U (-1, ∞).
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Related Questions
A rectangle that has a side length of 9 centimeters and 6 centimeters. What is the area of the rectangle?
Answers
One side = length, other = width
9 cm * 6 cm = 54 cm^2
The area of 54 cm^2
What is -4^2 equal to?
Answers
Answer:
-16
Step-by-step explanation:
Negative four to the second power is equal to -4 x -4 which is -16
My sis got stuck on these can you tell me the answer.
Answers
Answer:
you are supposed to guess how many inches the objects are after. that you need you to ACTUALLY measure them and round to the nearest inch. half of an inch and a forth of an inch
Step-by-step explanation:
here is an example so if it measures 2.25 inches it would be
nearest inch:2 inches
nearest 1/2 inch: 2 inches
nearest 1/4 inch: 2. 25 inches
3x-4 3x-8 solve for x
Answers
Answer:
32
Step-by-step explanation:
(3x-4)+(3x-8)=180
6x-12=180
6x=192
X=32
Applying the concept of supplementary angles the value of x we get is 32.
Use the concept of supplementary angles defined as:
The pair of angles known as supplementary angles always add up to 180 degrees. The definition of the term "supplementary" is "something supplied to complete a thing." These two perspectives are therefore referred to be complements of one another.
The given angles are:
Exterior angle = 3x - 4
Interior angle = 3x-8
From the figure, we can see that,
These angles are supplementary angles.
And since we know two angles are supplementary angles then,
Their sum = 180 degrees.
Therefore,
3x - 4 + 3x-8 = 180
6x - 12 = 180
Add 12 both sides are,
6x = 192
Divide by 6 on both sides,
x = 32
Hence,
The value of x is 32.
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the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3
Answers
The question is incomplete. The complete question is :
The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)
Solution :
Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]
Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]
V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]
∴ r = 1
[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]
[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]
[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex] cm/s
Surface area, [tex]$A = 4 \pi r^2$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]
[tex]$=14 \ cm^2/s $[/tex]
40 pts!
Find the area of the purple sector of the circle with a given radius of 5 units.
Use pi = 3.14 and round to the nearest hundredth.
Answers
Answer:
13.08
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = 3.14 * 5^2
A =3.14 *25
A =78.5
The angle of the purple sector is 60 degrees
A full circle is 360 degrees
The fraction of the circle that is purple is 60/360 = 1/6
Multiply the area of the circle by 1/6
1/6* 78.5 =13.0833333
Rounding to the nearest hundredth
13.08
Answer:
given
radius [r]=5units
area of purple sector :=60/360×πr²=1/6×π×5²=13.08unit squared
What property does the following expression demonstrate? 9(3x) = (9x3)x
Answers
Answer: x=0,\root(3)(3)
Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Brainliest or a thank you please? :))
9514 1404 393
Answer:
associative property of multiplication
Step-by-step explanation:
We assume your equation is ...
9(3x) = (9·3)x
The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.
_____
Additional comment
It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).
PLEASE HELP A BROTHER OUT
Charlie's business makes $1,051.75 on average each day. What should Charlie expect the business
to make in three weeks?
Answers
Answer:
$22,086.75 if he works 7 days a week! BUT in case of the scenerio where he works 5 days a week: $15776.25.
Step-by-step explanation:
Ok bro.
Depending on what kind of buisness he has here are the answers:
If he works 7 days a week, that means he works 21 days. 21 * $1,051.75 =
$22,086.75
If he works 5 days a week, that means he works 15 days. 15 * $1,051.75 =
$15776.25
What is the radius of a hemisphere with a volume of 81449 ft, to the nearest tenth
of a foot?
Answers
Answer:
44
Step-by-step explanation:
f(x) = x²+1
What is f(f(x))?
Answers
Answer:
f(f(x)) = x⁴ + 2x² + 2
Step-by-step explanation:
if f(x) = x² + 1, then f(f(x)) is equal to:
f(x)² + 1
= (x² + 1)² + 1
= x⁴ + 2x² + 1 + 1
= x⁴ + 2x² + 2
Which of the following is NOT a unit of volume?
A. square meter
B. cubic meter
C. pint
D. milliliter
Answers
Answer:
C. pint
Step-by-step explanation:
(Quick plz!!)
The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by this set?
[-8,1, 23. 11. 49)
A)
Irrational Numbers
B)
Integers
C
Natural Numbers
D
Rational Numbers
Answers
Answer:
the answer is d
Step-by-step explanation:
I just took the test
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
Answers
Answer: 166 2/3m
Step-by-step explanation:
Area of a rectangle = length times width
Length: 16 2/3
To find the width, multiply it by 3/5.
w = 16 2/3 · 3/5
w = 10
Then, multiply the length by the width.
a = l · w
a = 16 2/3 · 10
a = 166 2/3m
3. If your weekly salary is $415.00, how much do you take home each week after deductions are made for federal income tax of $82.13, state tax of $9.74, social security and Medicare tax of $31.75, and retirement plan deduction of $41.50.
Answers
Answer:
retirement plan deduction of $41.50. 19.725 divided by 2.5. 6.8 x 78.9. 593.84 divided by 1.3.
Step-by-step explanation:
Nigel has 1 cups of butter in his refrigerator. He wants to make cookies and cupcakes. The equation y = 0.5x represents the amount of
butter, in cups, y needed per dozen cookies, X. The table below shows the number of cups of butter needed based on the number of
cupcakes made
Answers
Answer:
37
Step-by-step explanation:
If the matrix of coefficients of a homogeneous system of n linear equations in n unknowns does not have an inverse, then the system has infinitely many solutions. (a) Always true (b) Sometimes true (c) Never true, i.e., false (d) None of the above
Answers
Answer:
(a) Always true
Step-by-step explanation:
In the case when there is a matrix of coefficient for a homogeneous system for n linear equations so it does not have an opposite and then the system would be have the infinite various solutions
So this is always true as in this it can be unique test or infinite.
So according to the given situation, the option a is correct
A box of 3 picture hangers sells for $2.22. What is the unit rate
Answers
Answer:
0.74 cents each unit piece
Step-by-step explanation:
2.22 ÷ 3 = 0.74
Which expression has a value located to the right of 1 on the number line?
a) -1 - 7
b ) 1 - 7
c) - 7 - 1
d) 7 + 1
Answers
Find the measure of <4.
{
44
158°
{
44 = [?]
Answers
Answer:
<4 = 22
Step-by-step explanation:
<4 = x
x + 158 = 180
x = 22
Same side interior angles are supplementary
<4+158=180<4=180-158<4=22°HELP PLS WHOEVER ANSWERS ILL GIVE BRAINLIEST
Answers
slope intercept form: y=30x+b
Answer:
A: 30
B: y=30x+14
Step-by-step explanation:
A
The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).
Let's use the points (0,14) and (2.2,80):
slope = (y2-y1)/(x2-x1)
= (80-14)/(2.2-0)
= 66/2.2
= 30
B
The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:
y=mx+c
14=(30)(0)+c
14=0+c
c=14
Therefore our equation is y=30x+14
dsfdewasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqewwasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqew
Answers
Answer:
???
Step-by-step explanation:
help me please!!!
solve a quadratic equation by factoring
solve for g.
g^2-24g+144=0
Answers
9514 1404 393
Answer:
g = 12
Step-by-step explanation:
You recognize that 144 is 12², so you check to see if the x-coefficient is 2·12. It is. The quadratic is a square:
(g -12)² = 0
The only solution is the one that makes the squared term equal to zero:
g -12 = 0
g = 12
_____
The square of a binomial is ...
(a +b)² = a² +2ab +b²
Here, we have a=x, b=-12.
PLEASE HELP ME!!!!!.........
Answers
Answer:
C.
Step-by-step explanation:
Trust me.
What is the solution of 4x + 10 = 30?
X =
If 2 people answer then I’ll mark one of them brain list(that give me the correct answer)
Answers
so first you have to add the like terms so move 10 to the other side and if move numbers over the equal sign it changes
So it will become
4x= 30 - 10
Then subtract
It’s 4x=20
Then u have to remove the 4 so u divide both sides by 4
4x/4 = 20/4
4/4 is 1 but u don’t put the 1 if there is a X so it’s just x
X=20/4
Now u divide the 20 with 4
It’s 5
So
X=5
Hope it helps!
Mrs. Shaw writes this equation on the board. She asks the students to find
the solution.
-40 -2(3m + 1/2)= 7m -2
Keith’s work is shown below. What mistake did Keith make?
-40 - 6m + 1 = 7m - 2
-39 - 6m = 7m -2
-39 = 13m - 2
-37 = 13m
-2 11/13 = m
Answers
Suppose to be:
-40 - 6m - 1 = 7m - 2
PLS HELP IVE BEEN ASKING FOR 3 1/2 DAYS IM ABOUT TO FAIL 7th GRADE ITS OVERDUE WILL GIVE BRAINLIEST IF YOU ANSWER THIS TYSM
Answers
Answer:18 days
Step-by-step explanation:
Answer:
18 days to consume the apple
Step-by-step explanation: 18 because it takes 3 days for a half so six days equals 1 whole apple multiply that by 3 an you'll get 18
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]
DK
X 148°
AR
>C
>C
B
Angles are not drawn to scale.
Enter
Answers
Answer:
Solution given:
x+148=180°[linear pair]
x=180°-148=32°
x=32° is your answer
Step-by-step explanation:
solution :
Given,
X+48 °= 180° [ being linear pair ]
X=180°-48°
X=32°
so,
X=32° answer.
hope it is helpful to you ☺️
Help me to find the surface area pls :( :(
Answers
Answer:
154.521
Step-by-step explanation:
Have a good day!
Answer:
154.521
Step-by-step explanation:
Which table shows proportional relationship between x and y?
Answers
Answer:
C
Step-by-step explanation:
For a relationship to be proportional, x/y needs to be the same for all rows.
5/8 is not 12/15
5/3 is not 15/11
3/8 is not 5/12.
The table C checks out with a ratio of 3:5
Select the function that's represented in the graph
Answers
Answer: y = x^2 - 3
y-intercept = -3