PLEASE HELPP!!!!! Write an equation for the translation of y=2/x that has asymptotes x=8 and y=3
Answers
Answer:
We must write an equationcthat is a translation of
\(y = \frac{2}{x} \)
An that has asymptote of y=3 and x=8.
First, let convert y=2/x into its parent function.
which is
\( y = \frac{1}{x} \)
If we multiply the fraction by 2, we get 2/x so our transformed equation is
\(y = 2( \frac{1}{x} )\)
Right now, we have a asymptoe at x=0 a y=0.
I'll provide you a graph of y=2/x or 2(1/x)
That is the first graph shown,
we have asymptote at x=0 and y=0,
we need a asymptote at x=8, to do that. we just subtract 8 from x.
\(y = \frac{2}{x - 8} \)
Now, we I'll give you a graph of 2(1/x-8) or 2/x-8.
Here we have a asymptote at x=8 but we still have a y=0 asymptote. In order for us to a asymptote of y=3,
The numerator and denomiator must be the same degree
So instead of
\( \frac{2}{x - 8} \)
We have
\( \frac{2x}{x - 8} \)
Now, the leading coeefricent must equal 3 sk we shift 2x to the left x units.
\( \frac{3x}{x - 8} \)
Because 3/1=3 so our equation is
\( \frac{3x}{x - 8} \)
Related Questions
Please help!
How are 3(3x+5) and -9x-15 equivalent to 9x+15?
Answers
-16(x - 6) -4
B. x > 8
C. x < -4
D. x < 8
s t u p i d study island :') uωu`
Answers
Answer:
i think it is c but i am probably super wrong
Step-by-step explanation:
A plastic pool gets filled up with 10L of water per hour.
a) After 2 hours how much water is in the pool? Write an equation.
b) After how many hours will the pool be 80L?
c) Is part b) linear or nonlinear?
Answers
a) The amount of water in the pool after 2 hours can be calculated using the equation.
Water in pool = 10L/hour × 2 hours = 20L.
b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.
Solving for Time, we find Time = 8 hours.
c) Part b) is linear.
a) To calculate the amount of water in the pool after 2 hours, we can use the equation:
Water in pool = Water filling rate × Time
Since the pool gets filled up with 10L of water per hour, we can substitute the values:
Water in pool = 10 L/hour × 2 hours = 20L
Therefore, after 2 hours, there will be 20 liters of water in the pool.
b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:
Water in pool = Water filling rate × Time
We want the water in the pool to be 80 liters, so the equation becomes:
80L = 10 L/hour × Time
Dividing both sides by 10 L/hour, we get:
Time = 80L / 10 L/hour = 8 hours
Therefore, it will take 8 hours for the pool to contain 80 liters of water.
c) Part b) is linear.
The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.
Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.
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Question
Under ideal conditions, the population of a certain species doubles every nine years. If the population starts
with 100 individuals, which of the following expressions would give the population of the species t years
after the start, assuming that the population is living under ideal conditions?
A. 2 x 100⁹t
B. 2 × 100
O 100 x 2⁹t
100 × 27
11
4
Answers
The exponential function that would give the population after t years is given by:
\(P(t) = 100 \times 2^{\frac{t}{9}}\)
What is an exponential function?An exponential function is modeled by:
\(y = ab^{\frac{x}{n}}\)
In which:
a is the initial value.b is the rate of change.n is the period for the change.Considering that the population starts with 100 individuals and doubles every 9 years, the parameters are given as follows:
a = 100, b = 2, n = 9.
Hence the function is given by:
\(P(t) = 100 \times 2^{\frac{t}{9}}\)
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Answer:100 x 2 t/9
Step-by-step explanation:
possible
An unusually wet spring has caused the size of a mosquito population in some city to increase by 6% each
day. If an estimated 230,000 mosquitoes are in the city on May 12, find how many mosquitoes will inhabit the
city on May 26. Use y = 230,000(1.06)* where x is number of days since May 12.
Answers
Answer:
about 520,000
Step-by-step explanation:
Following directions, we evaluate the equation by putting the value where the variable is and doing the arithmetic.
__
The value of x will be the number of days between May 26 and May 12. That value is ...
x = 26 -12 = 14
Then the number of mosquitos is estimated to be ...
y = 230,000(1.06^14) ≈ 520,008
About 520,000 mosquitos will inhabit the city on May 26.
_____
Additional comment
Typically, an "estimate" is one or two significant figures. So, 520,000 is a reasonable estimate. 520,008 has more precsision than can be justified.
A mathematician used 963 milliliters of liquid for an experiment. How many liters of liquid were used?
Answers
Answer:0.963 liters
Step-by-step explanation:
PLS HELLLLP!!!!!!!! I need 10 people to answer within the next 20 minutes what their favorite shoe brand. It is for an Algebra Project due Monday.
Answers
Answer:
Keen
Step-by-step explanation:
Favorite shoe brand = Keen
Answer:
Nike
Step-by-step explanation:
Nike shoes are great and comfy
what is f(-1) for the function given?
f(x)=x^2-3x+8
Answers
Answer: 12
Work is provided in the image I attached
what are the solutions of the quadratic equation below 4x^2-30x+45=0
Answers
Answer:
D
Step-by-step explanation:
Factor completely x3 − 2x2 − 8x + 16.
(x + 2)(x2 + 8)
(x − 2)(x2 + 8)
(x + 2)(x2 − 8)
(x − 2)(x2 − 8)
Answers
The expression x^3 - 2x^2 - 8x + 16 can be factored as (x - 2)(x^2 - 8).
To factor the given expression x^3 - 2x^2 - 8x + 16, we can look for common factors or factor it using grouping. In this case, we can observe that the expression can be factored by grouping.
First, we can factor out a common factor of (x - 2) from the first two terms:
x^3 - 2x^2 - 8x + 16 = (x - 2)(x^2 - 8x - 8)
Now, we can further factor the quadratic expression (x^2 - 8x - 8) by factoring out a common factor of 8:
(x^2 - 8x - 8) = (x - 2)(x - 8)
Therefore, the complete factorization of the expression x^3 - 2x^2 - 8x + 16 is:
(x - 2)(x - 2)(x - 8) which can also be written as (x - 2)(x^2 - 8).
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Complete the equation of the line through (- 10, 3) and (-8, -8). Use exact numbers.
Answers
Answer: To find the equation of a line passing through two points, we can use the point-slope form of the equation:
y - y1 = m(x - x1)
where (x1, y1) are the coordinates of one of the points, and m is the slope of the line.
To find the slope, we can use the formula:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
So, let's plug in the values we have:
m = (-8 - 3)/(-8 - (-10)) = (-8 - 3)/2 = -11/2
Now we can use either point to find the equation. Let's use (-10, 3):
y - 3 = (-11/2)(x - (-10))
y - 3 = (-11/2)x - 55/2
y = (-11/2)x - 49/2
So the equation of the line through (-10, 3) and (-8, -8) is:
y = (-11/2)x - 49/2.
I’m not sure I need help
Answers
Answer:
D) \(1 < x\leq 4\)
Step-by-step explanation:
1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)
Which values are in the solution set of the inequality -23x+13>-1
(> this symbol has a line underneath meaning equal to)
Answers
please be more specific
Answer:
x ≤ 14/23orx = ( -oo, 14/23]Step-by-step explanation:
Solving is steps
-23x + 13 ≥ -1 ⇒ add -13 to both sides-23x ≥ - 1 - 13-23x ≥ - 14 ⇒ divide both sides by - 23, inequality sign reversesx ≤ 14/23 ⇒ answeror
x = ( -oo, 14/23] ⇒ answer as setPlease help it says split the problem into two equations
Answers
Answer:
0
Step-by-step explanation:
(-:+9:+9-79-9-97-79:97-)7-+/
If a white birch tree and a pin oak tree each now have a diameter of 1 foot, which of the following will be closest to the difference, in inches, of their diameters 10 years from now? ( 1 foot )=(12 inches ) A
Answers
We cannot select any of the options provided as the closest value to the difference in diameters.
To determine the difference in diameters between the white birch tree and the pin oak tree 10 years from now, we need to consider their growth rates.
The problem does not provide information about the growth rates of the white birch tree and the pin oak tree. Without this information, we cannot accurately determine the difference in their diameters 10 years from now.
Therefore, we cannot select any of the options provided as the closest value to the difference in diameters.
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What is the answer to the.
-2(x - 5) = 6(2- 1/5x) and show me how you solved it
Answers
Answer:
x = -2.5
Step-by-step explanation:
How many cubic meters of material are there in a conical pile of dirt that has radius 9 meters and height 6 meters? Use 3.14 for π
Answers
Answer:
556
Step-by-step explanation:
I hope this helps
Help me solve this!!
Answers
Answer:
3.3 x 10^-4
Step-by-step explanation:
It's 3.3 x 10^-4 because 3.3 x 10^-4 would be 0.00033 and 8.0 x 10^0 would be 1 so 0.00033 x 1 = 0.00033. Then when we plug 0.00033 into scientific notation we will get 3.3 x 10^-4
select the points that are solutions to the system of inequalities. Select all that apply.
Answers
The solution to the graph of the linear inequality is the point of intersection which is (-5, 3)
Graph of System of Linear InequalityA system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system
In this problem, to find the solution to the system of linear inequality, we have to find the point of intersection. This gives the exact solution to the graph.
Looking at this graph, the point of intersection is (-5, 3)
The solution to the graph is (-5, 3)
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A type of fish for your aquarium costs $9 each. You can spend at most $63.
Write an inequality to model the problem.
Answers
Answer:
9x>63$
Step-by-step explanation:
nine $ aquarium , at most > 63$
What number is one thousand more than 3,368
Answers
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
Answers
you do 3-2 which is 1
then you do 3- -1 which is 4
m=3-2/3- -1= 1/4
m=1/4
A square has side length 82‾‾‾√ cm. What is the area of the square?
A: 9.052
B: 822
C: 1642
D: 67242
Answers
Answer:
Is "82‾‾‾√" meant to be the square root of 82? If so, the side length is 9.055 and the area of the square would be (9.055)^2 or 82 cm^2. Since that uis not an answer option, I don't have the correct interpretation of 82‾‾‾√. The answer would be (82‾‾‾√)^2, so just square 82‾‾‾√, whatever it it.
Step-by-step explanation:
The area of the square whose side is √(82) cm will be 82 square centimeters.
What is an expression? What is the area of a square?A mathematical expression is a combination of terms separated by mathematical operators. For example : 2x + 3y + 6. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The area of a square is given by : A{Square} = a².
We have a square of side √(82) cm.
The area of a square of side √(82) cm will be -
A{S} = (√(82))² = 82 square centimeters
Therefore, the area of the square whose side is √(82) cm will be 82 square centimeters.
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Solve for the surface area for the following figure
Answers
The surface area of the given figure is 215 square centimeters.
We know that the Area of a Rectangle with Length 'L and Width 'W' will be -
Area = L*W
For Rectangle II and IV, length is 5 cm and 3.5 cm.
Area of each II and IV = 5*3.5 = 17.5 square cm.
For Rectangle I and III, length is 3.5 cm and width is 15 cm.
Area of each I and III = 3.5*15 = 52.5 square cm.
Length and Width of Rectangle V are 15 cm and 5 cm respectively.
Area of Rectangle V = 15*5 = 75 square cm.
So total surface area of the figure is = (2*17.5) + (2*52.5) + 75 = 215 square cm.
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The question is incomplete. The complete question will be -
Riding your bike is good exercise. If your goal is to ride your bike a total of 140 laps around the block over the next 20 days, how many laps must you ride each day
Answers
Answer:
7
Step-by-step explanation:
140 / 20 = 7
so, you need to ride 7 laps per day :)
Heyo! ;D
In order to solve this problem, we simply need to follow the rule of division.
140 ÷ 20 = 7
Hence, if your goal is to ride your bike 140 laps around your block over a 20 day period, you must ride your bike 7 total laps a day to do so.
Hope this helped! If so, please lmk! Tysm and good luck!
Can someone please help me?
Answers
Answer:=Sin=6.1/9.9
sin^-1(6.1/9.9)=38.03637396
Step-by-step explanation:
Find the gradient of the tangent to the curve y = 5x³ + 3x² - x + 4
Answers
The gradient of the tangent to the curve y = 5x³ + 3x² - x + 4 is 15x²+6x-1.
What is the gradient?A differential operator is used for a function having a vector value in three dimensions to produce a vector whose three components are the partial derivatives of the function with respect to its three variables.
The given equation for the curve is;
y = 5x³ + 3x² - x + 4
The gradient of the tangent to the curve is;
\(\rm y'=\frac{dy}{dx} \\\\ y'= 5x^3 + 3x^2- x + 4 \\\\\ y'=15x^2+6x-1\)
Hence,the gradient of the tangent to the curve y = 5x³ + 3x² - x + 4 is 15x²+6x-1.
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SOMEONE HELP ASAP!!!!!
Answers
Answer:
A. y=\(\frac{3}{2}\)x-3
B.y=\(\frac{-3}{4}\)x-3
Step-by-step explanation:
Okay so essentially, the first thing you need to do is find the slope and y intercept for each equation. To find the slope, I like to look at the two points and divide the rise (How much it goes up or down) by the run (How much it moves left or right). For A the rise is 6 and the run is 4, so the slope is 6/4 or 3/2. To find the equation for A, you also need the y-intercept which is just the y value (how high up or down) it is when it crosses the y axis. In graph a, this is at -3. Because the equation of a line is y=mx+b (m being slope and b being y intercept), we know the equation for a is y=\(\frac{3}{2}\)x-3. We can do the same thing for B. The rise is -3 and the run is 4, so the slope is -3/4. The y value when x is equal to zero is 2, so that is the y intercept. The equation is y=\(\frac{-3}{4}\)x-3
Lakita wants to go to trade school and study electronics for a two-year program. Her tuition and books will cost about $5,500 per year. She will also spend about $100 a month commuting from her parents' house to school. How much will her education cost her in total?
Answers
Answer:
$13,400
Step-by-step explanation:
We will first have to take account of the commuting cost, years at school, and total cost of tuition and books
It would cost $5,500 per year, she is studying at the school for 2 years, we will multiply 5,500 by 2
$5,500 * 2
= $11,000
The cost of commuting per month will be multiplied by 12 to represent a year and another 2 for two years
$100 * 12 * 2
= $2400
We all these together for the total cost of her education
$11,000 + $2,400
= $13,400
NEED HELP ASAP!!!!!!!!
PLEASE
For which set of data are the median and mode the same number?
(A) 4, 5, 7, 8, 9, 9
(B) 4, 5, 7, 7, 8, 10
(C) 3, 5, 6, 8, 8, 9
(D) 5, 5, 6, 8, 9, 10
Answers
Answer:
b
Step-by-step explanation: