Answers
Part (a)
The domain is the set of allowed x inputs of a function.
The graph shows that x = 0 is not allowed because of the vertical asymptote located here. It seems like any other x value is fine though.
Domain: set of all real numbers but [tex]x \ne 0[/tex]To write this in interval notation, we can say [tex](-\infty, 0) \cup (0, \infty)[/tex] which is the result of poking a hole at 0 on the real number line.
--------------
The range deals with the y values. The graph makes it seem like it stretches on forever in both up and down directions. If this is the case, then the range is the set of all real numbers.
Range: Set of all real numbersIn interval notation, we would say [tex](-\infty, \infty)[/tex] which is almost identical to the interval notation of the domain, except this time of course we aren't poking at hole at 0.
=======================================================
Part (b)
The x intercepts are x = -4 and x = 4We can compact that to the notation [tex]x = \pm 4[/tex]
These are the locations where the blue hyperbolic curve crosses the x axis.
=======================================================
Part (c)
Answer: There aren't any horizontal asymptotes in this graph.Reason: The presence of an oblique asymptote cancels out any potential for a horizontal asymptote.
=======================================================
Part (d)
The vertical asymptote is located at x = 0, so the equation of the vertical asymptote is naturally x = 0. Every point on the vertical dashed line has an x coordinate of zero. The y coordinate can be anything you want.
Answer: x = 0 is the vertical asymptote=======================================================
Part (e)
The oblique or slant asymptote is the diagonal dashed line.
It goes through (0,0) and (2,6)
The equation of the line through those points is y = 3x
If you were to zoom out on the graph (if possible), then you should notice the branches of the hyperbola stretch forever upward but they slowly should approach the "fencing" that is y = 3x. The same goes for the vertical asymptote as well of course.
Answer: Oblique asymptote is y = 3xRelated Questions
Claire is a salesperson who sells computers at an electronics store. She makes a base pay of $80 each day and then is paid a $20 commission for every computer sale she makes. Write an equation for P,P, in terms of x,x, representing Claire's total pay on a day on which she sells xx computers.
Answers
Wrote a cpital letter the appears to have perpendicular line segments
Answers
when julia goes from home to school she can walk half-way and half-way she can go by bus. if she only walks, she will spend 45 minutes more. how much less time does it take her to go to school if she uses only the bus?
Answers
Answer:
15 minutes
Step-by-step explanation:
1 hour is =to 60 minutes
60minutes minus 45 minutes is equals to 15 minutes
45+15=60minutes which is 1hr
so my answer is 15 minutes. ..
thank you
pliz follow. .
There are t boys in class. There are 7 fewer girls in class. How many students are in class in terms of t?
Answers
Answer:
[tex]2t-7[/tex]
Step-by-step explanation:
Let "t" represent the boys in the class then the amount of girls will be:
[tex]t-7[/tex]
Total Students = Number of Boys + Number of Girls
Total Students = [tex]t+t-7[/tex]
Total Students = [tex]2t-7[/tex]
Let's use a few example numbers to see if this equation is true...
[tex]t=10[/tex]
[tex]t-7=10-7=3[/tex]
[tex]10+3=13[/tex]
This means that [tex]2t-7[/tex] must also be equivalent to 13...
[tex]2(10)-7=20-7=13\rightarrow $ Correct![/tex]
Another example...
[tex]t=15[/tex]
[tex]t-7=15-7=8[/tex]
[tex]15+8=23[/tex]
This means that [tex]2t-7[/tex] must also be equivalent to 23...
[tex]2(15)-7=30-7=23\rightarrow$ Correct![/tex]
Both examples have been proven to be true therefore there are...
[tex]2t-7[/tex] students in the class
A prism is completely filled with 72 cubes that have edge lengths of 1/2 in.
What is the volume of the prism?
Enter your answer in the box.
in
Answers
The volume of the prism that is completely filled with 72 cubes that have edge lengths of 1/2 in. is 9 in³.
What is a prism?A prism is a 3-dimensional shape, with two identical shapes facing each other.
To calculate the volume of the prism, we use the formula below.
Formula:
The volume of the prism (V) = 72×volume of one cubeV = 72L³............. Equation 1Where:
V = Volume of the prismL = Length of the cubeFrom the question,
Given:
L = 1/2 inSubstitute these values into equation 1
V = 72(1/2)³V = 72(1/8)V = 9 in³Hence, the volume of the prism is 9 in³.
Learn more about prisms here: https://brainly.com/question/23741714
Candy is paving a narrow pathway with pebbles. She needs 100 pebbles for each four feet of path. How many feet can she pave if she has 525 pebbles?
Answers
525/100=5.25
5.25 times 4 = 21
Find the range of the function in the image.
solve it asap please
no irrelevant answers.
(question in the image)
Answers
Answer:
0 < f(x) ≤ 3/4, or (0, 3/4]
Step-by-step explanation:
x² - x + 1 = x² - x + 1/4 + 3/4 = (x - 1/2)² + 3/4
It is always positive and has a minimum value of 3/4 at x = 1/2
So f(x) is always positive (not equal zero) and has a maximum value of 3/4
Then the range is 0 < f(x) ≤ 3/4, or (0, 3/4]
WHAT TIME IS TWENTY FIVE TO EIGHTT???
Answers
Answer:
7:35
Step-by-step explanation:
60 minutes in an hour, 25 minutes back from 8:00 is 7:35, 35+25=60
Can someone please explain how to do this
Answers
Answer:
A.
Step-by-step explanation:
the ratio of shaded is 8:12 simplified to 3:4
the ration of shaded but with a cross is 7: 12. simplified it least value.
the ration of shaded with a cross and just shaded is 8:12 to 7:12, subtract those and you get 1:12
sooo you're answer is 8:12 - 1:12 to see the shaded with cross
hope this helped </3
16.
.
What is the sum of the geometric series Σ2
Σ(3)
rounded to the nearest whole number?
(1 point)
χ 0
O4
Ο0
O2
O3
Answers
What is the sum of the geometric series Σ2
Σ(3)
rounded to the nearest whole number?
Answer: O2
Find the surface area of the square pyramid shown below.
17 in
-15 in
16 in
What is the surface area of the pyramid in square inches?
0 736 square inches
o 800 square inches
0 1280 square inches
O 1451 square inches
Answers
Answer:
800
The surface area of the square pyramid is 800.
S.A.= area of base+area of four triangles.
Therefore the answer is 800.
express the ratio below in its simplest form.3:12:9
Answers
Answer:
Step-by-step explanation:
Divide by 3
1 : 4 : 3
help me with his please :(
Answers
Volume =length x width x height
V=L x W x H
B=2 1/2=2.5 cm , L=2 cm , H=1 cm
V= 2.5 x 2 x 1 =5 cm3
Considering the volume of the given cube
L=H=W
For a cube the sides are the same
V = L x W x H L = 1/2 = 0.5
V= (L)3
V=(0.5)3
V=0.125 cm3
Hence number of cubes
= volume of cube / volume of fig
= 0.125/5
=0.05 cubes
help pls ill mark brainliest
Answers
Answer:
A. 2,310 sq ft
Step-by-step explanation:
Rectengle below:
A = l × bA = 74 × 15A = 1,110ftRectangle Above:
A = l × bA = 50 × 24A = 1,200ftArea of the Playground:
1,110ft + 1,200ft1,310 sq ft (A)Write an equation that states (x, y) is the same distance from (4, 1) as it is from the x-axis.
Answers
The equation that gives all the points (x, y) that are at the same distance from (4, 1) as from the x-axis is:
y = (1/2)*(x - 4)^2 + 1/2.
How we can find the point (x, y)?
First, remember that for a point (x, y), the distance to the x-axis is equal to y.
And we also know that the distance between two points (x₁, y₁) and (x₂, y₂) is:
[tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]
The distance between (x, y) and (4, 1) is:
[tex]d = \sqrt{(x - 4)^2 + (y - 1)^2}[/tex]
And this must be equal to y, so we can write:
[tex]y = \sqrt{(x - 4)^2 + (y - 1)^2}[/tex]
This is the equation we need to solve.
We will get:
[tex]y^2 = (x - 4)^2 + (y - 1)^2\\\\y^2 = (x - 4)^2 + y^2 - 2y + 1\\\\0 = (x - 4)^2 - 2y + 1\\\\2y = (x - 4)^2 + 1\\\\y = (1/2)*(x - 4)^2 + 1/2[/tex]
This equation gives all the points (x, y) that are at the same distance of (4, 1) as from the x-axis.
If you want to learn more about distances between points, you can read:
https://brainly.com/question/7243416
Rachel had 7/8 of a spool of yarn. She used 3/4 of her yarn for a project. What fraction of the spool was used for the project?
Answers
if I did the math correctly the answer should be 6/8
What is 43 percent as a decimal and a fraction?
Answers
43
%
is
43
100
, so move the decimal
2
places.
43
becomes
.43
.
Answer:
decimal: 0.44, Fraction: 43/100
Step-by-step explanation:
Simplify.
(x2+4x)−(x2+6x−3)
10x−3
2x2+10x−3
−2x+3
−2x
Answers
Solution:
Note that:
Given expression: (x² + 4x) − (x² + 6x − 3)Remove the brackets
(x² + 4x) − (x² + 6x − 3)=> x² + 4x - x² - 6x + 3Combine like terms
x²(1 - 1) + x(4 - 6) + 3=> x²(0) + x(-2) + 3=> -2x + 3If I have 53 shirts and have to get 100 shirts in 37 days, how many shirts do I have to get in less 37 day?
Answers
Answer:
if you have 53 shirts and have to get 100 shirts in 37 day's you will need to get 47 shirts
Identify the congruent corresponding parts.
Answers
Answer:
5 angles and 5 sides
Step-by-step explanation:
Hope this is the answer you are looking for.
Answer:
ABCDE is congruent to SRQPT(you can work out the sides from here)
ABC = SRQ
Please Help!
The graph shows the vertical displacement y, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a given number of seconds, x.
From its resting position, how long does it take the weight to bounce one direction, then the other, and then return to its resting position?
-3s
-6s
-16s or
-32s
Answers
It would take 6 seconds for the weight to bounce one direction, then the other, and then return to its resting position
What is a periodic function?
A periodic function is a function that repeats itself at regular intervals. The period of this function is the time taken to complete one oscillation while the amplitude is the distance from the origin to peak.
From the diagram:
Time taken for the weight to bounce one direction, then the other, and then return to its resting position = 7.5s - 1.5 s = 6 s
It would take 6 seconds for the weight to bounce one direction, then the other, and then return to its resting position
Find out more on periodic function at: https://brainly.com/question/8636691
A garden store bought a fountain at a cost of $995.66 and marked it up 100%. Later on, the store marked it down 25%. What was the discount price?
Answers
Answer:
248.91500
Step-by-step explanation:
Answer: $1493.49
Step-by-step explanation:
Mark-up formulas:
price=cost+mark-up
mark-up=mark-up percentage×cost
Discount formulas:
discount price=original price–discount
discount=discount percentage×original price
solve
First find the original price. Write 100% as the decimal 1.00 before using it in the equation.
price
= cost+mark-up
= 995.66+1.00×995.66
= 995.66+995.66
= 1,991.32
The original price was $1,991.32.
Now find the discount price. Write 25% as the decimal 0.25 before using it in the equation.
discount price
= original price–discount
= 1,991.32–0.25×1,991.32
= 1,991.32–497.83
= 1,493.49
The discount price was $1,493.49.
Mr. Carnegie will buy pencils and pens for his students
for the school year.
• He can spend no more than $30 on pencils and pens.
• Pencils cost $0.15 each, and pens cost $0.75 each.
• He needs to buy at least 3 times as many pencils as
pens.
Which of the following systems of inequalities can be
used to determine the number of pencils that Mr.
Carnegie can buy?
O A. 0.15x + 0.75y 30 and y > 3x
OB. 0.15x +0.75y < 30 and y < 3x
OC. 0.15x +0.75y > 30 and 3y > x
D. 0.15x +0.75y < 30 and 3y
Answers
The system of inequalities that can be used to determine he number of pencils that Mr.Carnegie can buy is 0.15x +0.75y < 30 and y < 3x.
What are inequality sign and what do they mean?
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
What are the system of inequalities?The total amount spent on pens and pencils cannot exceed $30. Thus, the inequality sign to be used is <. Thus, the equation is: 0.15x +0.75y < 30 and 3x > y
To learn more about inequality, please check: https://brainly.com/question/5031619
what is 12 x q greater than 12 but less than 24 Enter a positive value for q that makes this statement true.
12 x q is greater than 12 but less than 24.Immersive Reader
(3 Points)
2 3/4
2 1/2
1 6/8
1 3/4
1 1/2
5/6
5Question
(1 Point) wich one is it and i need 2 answer's
Answers
Answer:
2 1/2 and 1 1/2
Step-by-step explanation:
Open the graphing tool to see the data on a scatter plot, where the month is the independent variable and the principal balance is the dependent variable.
1. Select Relationship.
2. Select Linear.
3. Check the Best fit box.
4. Observe the best fit function calculated and provided underneath the graph.
What is the best fit function for the data?
Answers
Answer:
y = -465.4569x + 17,267.6
Step-by-step explanation:
edmentum
Help help math math math
Answers
Answer:
-2x+y=6
Step-by-step explanation:
You subtract 2x from both sides to get -2x+y=6
:)
Answer:
-2x+y = 6
Step-by-step explanation:
Standard form is ax + by = c.
So we need to move the x term to the left side.
y = 2x + 6
Subtract 2x from each side
-2x + y = 6
16. Read the bar graph and answer the following questions
(1) What is the information given by the bar graph?
(ii) How many tickets of Assam State Lottery were sold by the agent?
(ii) of which state, were the maximum number of tickets sold?
Answers
Answer:
Hope it helps!!!!!!Brainliest pls!!!!!!!pls helpp !
During a sale, a store offered a 15% discount on a bed that originally sold for
$350. After the sale, the discounted price of the bed was marked up by 15%.
To the nearest whole number, what percent of the original price was the price
after markup?
Answers
Answer:
342
Step-by-step explanation:
85% of 350 is 297.5, 115% of 297.5 is 342.125
What is the area of this trapezoid
Answers
* C is twice as close to A as it is to B (there is more than one
answer)
Answers
Answer:
Angle at the center is two times the angle at circumferance