Let
f(x) = {3x - 7}/{x + 1] Find the range of f.
Give your answer as an interval.
Answers
Answer: Range = (-∞, 3) U (3, ∞)
Step-by-step explanation:
The range is the set of all y-values in a function. The easiest and most straightforward way to find the range is to graph the function and find asymptotes, or locations on the graph where the function lacks y-values.
You can plug in a few points to the equation, as shown in this table below.
After you have your points, you can draw your function following the points, as shown in the next image. Notice the line at y = 3, where the function does not cross. Although it will get infinitely close to the line, the function will never meet or cross this point at any x-value. This is what is known as a "horizontal asymptote", and is not included in the range of the function.
We can represent this asymptote in a range, which is a representation of all possible y-values in the function. The possible y-values for this function start at negative infinity and end at infinity, but do not exist at y = 3, so we represent this through this mathematical expression:
Range = (-∞, 3) U (3, ∞)
![Letf(x) = {3x - 7}/{x + 1] Find The Range Of F. Give Your Answer As An Interval.](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/FsysQOft4tnPQIFdb7fDN2hpupljKQss.png)
![Letf(x) = {3x - 7}/{x + 1] Find The Range Of F. Give Your Answer As An Interval.](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/bL35dzF3hJToCG5vOHQnDILLj2A7lGKl.png)
Related Questions
Raphael takes 15 pages of notes during 6 hours of math class. Then, he takes 35 pages of notes during 14 hours of math class. How many pages of notes would Raphael expect to take during 3 hours of math class?
Answers
Answer:
7 and 1/2 or 15/2 (they are the same number just one is 15/2 is put into fraction form)
Step-by-step explanation:
Because 3 hours is half of 6 hours so 15x1/2=7 1/2 or 15/2
Hope this helps, pls consider giving a brainliest, aand have a good day
Quiz Simplifying expressions
Question 1: 3x + 7 - 5x + 9
Answers
Answer:
8x+161
Step-by-step explanation:
3x(-5x) = -2x
7+9= 16
put it together and you get -2x+16
identify the sequence 18,13,8,3,-2 PLZ HELPPPPP
Answers
The common difference between each term is -5. The nth term of the sequence as follows: aₙ = 18 - 5(n-1)
The given sequence is 18, 13, 8, 3, -2.
To identify the pattern in the sequence, we can observe that each term is decreasing by 5. Starting from 18, we subtract 5 to get the next term, and so on. The common difference between each term is -5.
Using this pattern, we can continue the sequence as follows:
-2 - 5 = -7
-7 - 5 = -12
-12 - 5 = -17
-17 - 5 = -22
The extended sequence would be -2, -7, -12, -17, -22.
In terms of the general formula, we can represent the nth term of the sequence as follows:
aₙ = 18 - 5(n-1)
For more such questions on sequence
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A music store is receiving a shipment of Ipads. Each box comes with 12 white, 12 black and 24 grey
Ipads. They already have 23 white, 16 black and 22 grey Ipads. If the store is receiving 5 boxes, how
many of each color Ipad will they have?
Answers
Answer:
142 Grey, 83 white, 76 black
Step-by-step explanation:
If you were to take 5 boxes and put 24,12,12 in each, then multiply each number by 5 you wpuld get 120 Grey, 60 white and 76 black. Then you would add what they already have 120 Grey + 22 Grey is 142 grey, 60 white + 23 white is 83 white, and 60 black + 16 black is 76 black.
Real quick question. need help plz
Answers
All figures with 4 sides have a total of 360 inside it.
HELP ME PLEADE I NEEDDDD HELPP
Answers
Step-by-step explanation:
I hope this helps, happy learning!!
Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!
Answers
Answer:
c
Step-by-step explanation:
97 degrees. Any angle between 90 and 180 degrees is classified as obtuse
Answer:
If the angle right before cde is the actual mesuarment then your answer is 78 if thats not the measurment then your answer is 97
Step-by-step explanation:
What is the slope of a line perpendicular to Line AB given A (6,2) and B (-3,2)
Answers
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m of AB using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(6, 2) and (x₂, y₂ ) = B(- 3, 2)
m = [tex]\frac{2-2}{-3-6}[/tex] = [tex]\frac{0}{-9}[/tex] = 0
A line with a slope of zero is a horizontal line, parallel to the x- axis.
Thus a line perpendicular to AB is a vertical line parallel to the y- axis.
The slope of a vertical line is undefined
OMG FREE BRAINLIESTOMGGGG!!!AHHH
Answers
Answer:
thank yoy so much for these free points, and I hope you have the best day because you deserve to have a really good day
Step-by-step explanation:
Please mark me as brainliest!
Answer:
awwww tyyy!! that was rlly kind of you!! :3 have a nice day <3 (also sorry if I'm too late XD)
Step-by-step explanation:
tyyy again!!
Jennifer added the product 125 and 58 to the product of 357 and 42 what is the sum?
Answers
Answer:
22244
Step-by-step explanation:
(125*58)+(357*42)=22244
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes?
Answers
Answer: 100
Step-by-step explanation:
20 - 2
x - 10
Cross multiply 20 * 10.
20 * 10 = 200
Then divide 200 by 2.
200 / 2 = 100
HELP ME HELP ME HELP ME HELP ME
Answers
Answer:
i think it's A i hope it is
Answer:
D
Step-by-step explanation:
tell me some irrational numbers
Answers
Answer:
square root of 2, pi, square root of 5, square root of 10, square root of 3, square root of 15
Step-by-step explanation:
Answer:
√8 √1.6 -√11 π √2/5
Step-by-step explanation:
graph the solution to the inequality on the number line 3b + 17 _< 4b +23 + 2b
Answers
Answer:
b_>-2 so the circle is going to be on top of -2 and it is going to be closed, going to the right
X-5=20 show work pleaseeeeeee
Answers
Answer:
x-5=20
x=20+5 (When bringing -5 to the other side of the equal, it changes to +5)
x=25
A test is worth 50 points. Multiple-choice questions are worth 1 point, and
short-answer questions are worth 3 points. If the test has 20 questions, how
many multiple-choice questions are there?
A. m + s = 50
B. m + 2s = 20
C. m.s= 20
D. m + s = 20
Answers
Answer:
d) m + s = 20
m = 5
Step-by-step explanation:
m + 3s = 50
m + s = 20
m + 3(20-m) = 50
m + 60 - 3m = 50
60 - 2m = 50
60 = 50 + 2m
60 - 50 = 2m
10 = 2m
5 = m
True or False? In reference to different sampling methods, systematic sampling includes the steps: list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list starting with the one that was randomly selected.
Answers
Answer:
True
Step-by-step explanation:
In the simple random sampling every individual in the population has an equal chance to be selected in the sample. Systematic sampling is a probability sampling in which selection of elements is made from order frame. These samples are selected based on intervals of the population.
Alicia bought two slices of pizza and a bottle of juice for $4.95. The juice was $1.65. How much is one slice of pizza?
Answers
Subtract the price of the juice from the total then divide the remaining amount by 2:
4.95 - 1.65 = 3.30
3.30 /2 = 1.65 per slice.
substitute the length of the sides (8 in, 15 in m)
into the Pythagorean theorem. Then, find the length of the missing side m
(Please with step by step answer)
Answers
Answer:
17i in
Step-by-step explanation:
a² + b² = c²
8² + 15² = c²
64 + 225 = 289
c² = 289
c = [tex]\sqrt{289} \\[/tex]
c = 17
Which of the methods can you use to solve −2/3 c=16
Answers
Answer: simplify
Step-by-step explanation:
Answer:
Divide each side by -2/3
Step-by-step explanation:
-2/3 is being multiplied by c. So we have to do the inverse of multiplication which is division.
what is the area of tile 10 in.6 in.and 8 in
Answers
Answer:
480
Step-by-step explanation:
u multiply 10x6x8=480
so the area is 480 inches
someone please help!!
Answers
8x=3
X=3/8
2)3-8•0=3 g(x)=3
3)-5=3-8x
8x=3+5
8x=8
x=1
4)3-8•3=3-24=-19 g(x)=-19
Hope it helps
132 days to 110.4 days
Answers
382.4 days from 132 days t 110.4 days
x + y = -7
-x+ 4y = 17
X=
y =
Answers
Answer:
x= -9, y= 2
Step-by-step explanation:
5y=10
y=2
x+2=-7
x=-9
Answer:
x=-9y=2Step-by-step explanation:
[tex]x + y = - 7[/tex]
[tex] - x + 4y = 17[/tex]
[tex]y = - 7 - x[/tex]
[tex]x = 4y - 17[/tex]
[tex]y = - 7 - 4y + 17[/tex]
[tex]5y = 10 \\ y = 2[/tex]
[tex]x = 4y - 17 = 4 \times 2 - 17 = 8 - 17 = -9 \\ x = -9[/tex]
Convert 65.000.000 to scientific notation.
Answers
Answer:
6.5 x 10^4
Step-by-step explanation:
Answer:0*10^0
Step-by-step explanation:
Which expression is equivalent to 2(a+3) when a=3?
O 2(3)
05(3)
O 2(3)+3
O 2(3)+6
Answers
Answer:
The answer is 2(3)+6
Step-by-step explanation:
The perenthesis means multiplication so you would first do 2 times three which is 6 and then 6+6=12 and the first expresion is 2(a+3) a=3 to solve that you would do whats in the perenthesis 3+3 which equals 6 and then the 6 in the perenthesis means mulitplication. so then you would do 2 times 6 and get 12. so the 3rd one is the answer.
After making a deposit,puja had $264 in her savings account.She noticed that if she noticed that if she added $26 to the amount originally in the account and doubled the sum,she would get the new amount.How much did she originally have in the account.
Answers
Answer:
Let the original deposit be
x
Add $26 to original deposit
→
x
+
26
And doubled the sum
→
2
(
x
+
26
)
You get the new amount
→
2
(
x
+
26
)
=
264
Multiplying out the bracket
2
x
+
52
=
264
Subtract 52 from both sides
2
x
=
264
−
52
2
x
=
212
Divide throughout by 2
x
=
106
So the original amount was $106.00
Simplify:
3(8) ° . (3) -2
Answers
3 x -2 = -6
reply if you this was wrong or you needed a different answer pls >:(
Name a pair of numbers which would represent the slopes of perpendicular lines.
Answers
Complete the two column proof.
Answers
Answer:
not sure about 2 and 5 but 4 is definition of congruency
