The "end behavior" of the function is that it approaches this asymptote as the value of x approaches ±∞.
According to the statement
we have to find that the relation of the asymptote with the given function.
So, For this purpose, we know that the
Asymptotes are lines the function approaches, but does not reach, as the independent variable nears some value. They may be horizontal, vertical, or slanted.
From the given information:
The function f is a f(x)=3x/x-9.
Then
Now, we discuss the vertical asymptotes
If a rational function has a denominator factor of (x -a) that is not matched by the same factor in the numerator, there will be a vertical asymptote at x=a.
The given function has a denominator factor of x-9 that does not appear in the numerator, so it has a vertical asymptote at x=0.
And then
Now, we discuss the horizontal asymptotes
As the magnitude of x gets large, the value of a rational function approaches the ratio of the highest-degree terms in the numerator and denominator. Here, that ratio is (3x)/(x) = 3. That is, the given function has a horizontal asymptote at y = 3.
So, The "end behavior" of the function is that it approaches this asymptote as the value of x approaches ±∞.
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A table showing Tickets Sold, Cost, and Total. The first row shows Child, with the entries, c, 3, and 3 c. The second row shows Adult, with entries, x, 5, 5 x. The last row shows Total, with all three entries blank.
Tickets to a baseball game cost $3 for a child’s ticket and $5 for an adult ticket. At the last game, $521 was collected when 139 people attended the game. Which value could replace x in the table so that a single-variable equation can be written and solved to determine the number of child’s tickets, c, sold?
Answer:
x = 52, c = 87
Step-by-step explanation:
Set up and then solve this system of equations:
3c + 5x = 521--->3c + 5x = 521
c + x = 139 --->3c + 3x = 417
-------------------
2x = 104
x = 52, c = 87
Answer: the answer is 139-c
What’s the correct answer answer asap for brainlist
Answer: its protein channels
Step-by-step explanation:
Please help me with number 8
Answer:
jjejejkwkwkqkkqkqkqkkqkqkq
Integral of 1/(x+cosx)
The integral is ln|x + cos(x)| + C, where C represents the constant of integration.
To find the integral of the function 1/(x + cos(x)), we can employ a combination of algebraic manipulation and the use of standard integration techniques. Here's the solution:
First, let's rewrite the integral in a slightly different form to simplify the process:
∫(1/(x + cos(x))) dx
We notice that the denominator, x + cos(x), is not amenable to direct integration. To overcome this, we employ a substitution. Let's set u = x + cos(x). Now, differentiate u with respect to x: du/dx = 1 - sin(x).
Rearranging this equation, we get dx = du/(1 - sin(x)).
Substituting these values, the integral becomes:
∫(1/(u(1 - sin(x)))) du
Next, we simplify further by factoring out 1/(1 - sin(x)) from the integral:
∫(1/(u(1 - sin(x)))) du = ∫(1/u) du = ln|u| + C
Replacing u with its original expression, we have:
ln|x + cos(x)| + C
Therefore, the answer to the integral is ln|x + cos(x)| + C, where C represents the constant of integration.
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If there are 80 calories in 2/3 of an apple, How many calories are in 6 apples?
Answer:
Around 570 to 560.
What is the approximate length of side GF in triangle EFG?
Answer:
41.93 degrees
Step-by-step explanation:
Find the measure of angle 5 if the measure of angle 7 is 115 degrees
Answer:
115 degrees (vertically opposite angles are equal)
Step-by-step explanation:
Add or subtract. write fractions in simplest form.
-5/3 + 2 1/3
how do i do this problem? i will mark you brainliest. please help!
Answer:
2/3
Step-by-step explanation:
-5/3 + 2 1/3 =
= 2 1/3 - 5/3
= 2 1/3 - 1 2/3
= 1 4/3 - 1 2/3
= 2/3
Answer:
2/3
Step-by-step explanation:
First, change 2 1/3 into an improper fraction.
2 1/3 --> 7/3
Substitute that value back into the equation
-5/3 + 7/3
At this point, you can rewrite the equation into:
7/3 - 5/3
Since they have the same denominator, just subtract the numerator's values.
2/3
One shirt at H&M cost $7. what is the cost of 40 shirts
Answer:
$280
Step-by-step explanation:
7•40=$280
\(\frac{2}{3} + \frac{4}{6}\)
Answer:
\(\huge\boxed{\sf 1 \frac{1}{3}}\)
Step-by-step explanation:
Given expression:\(\displaystyle =\frac{2}{3} + \frac{4}{6} \\\\Equalize \ the \ denominator \\\\= \frac{2 \times 2}{3 \times 2} + \frac{4}{6} \\\\= \frac{4}{6} + \frac{4}{6} \\\\Add \\\\=\frac{4+4}{6} \\\\= \frac{8}{6} \\\\Simplify\\\\= \frac{4}{3} \\\\Convert \ into \ mixed \ fraction\\\\= 1 \frac{1}{3} \\\\\rule[225]{225}{2}\)
Find the unlabeled side length. If necessary, round your answer to the nearest hundredth. ( two decimal places)
Answer:
Unlabeled side length = 15.00 units
Step-by-step explanation:
Because this is a right triangle, we can find the unlabeled side length using the Pythagorean theorem, which is
a^2 + b^2 = c^2, where
a and b are the shorter sides called legs,and c is the longest side called the hypotenuse.In the triangle, we're given that the legs are 12 and 9 units and the unlabeled side is the hypotenuse, which we must find:
Step 1: Plug in 12 for a and 9 for b and simplify:
12^2 + 9^2 = c^2
144 + 81 = c^2
225 = c^2
Step 2: Take the square root of both sides to solve for c, the hypotenuse (aka the unlabeled side):
± √225 = √(c)^2
± 15 = c
15.00 units = c
Although taking the square root of a number produced both a positive and negative answer since squaring both a positive and negative answer gives us a positive answer (e..g, 15 * 15 = 225 and -15 * -15 = 225), you can't have a negative measure. Therefore, c, the unlabeled side length = 15.00 units.
6. What is the value of x in the solution to the systems of linear equations shown below?
2x - 2y+z=3
5y-z= -31
x+ 3y + 2z = -21
Step-by-step explanation:
\(1) \: \: 2x - 2y + z = 3 \\ 2x = 3 + 2y - z \\ x = \frac{3 + 2y - z}{2} \\ \\ 2) \: \: \: not \: any \: \: \: x \: \: \: available \: \: \\ \\ 3) \: \: x + 3y + 2z = - 21 \\ x = - 21 - 3y - 2z\)
Answer:
x= -5
Step-by-step explanation:
5y-z= -31, add z and 31 to both sides
5y+31 = z, substitute z in the other two given equations
2x - 2y+z=3
2x-2y +5y+31 = 3, combine like terms and subtract 31 from both sides
2x+3y = -28
x+ 3y + 2z = -21
x+3y +2(5y+31) = -21, distribute 2 over the addition parenthesis
x+3y +10y+62 = -21, combine like terms and subtract 62 from both sides
x+13y = -83
Now we have 2 equations with 2 variables x and y to solve
2x+3y = -28
x+13y = -83
Because we need to find x then from the first equation we can write that
3y = -2x-28, subtract 2x from both sides and the divide both sides by 3
y = (-2x-28)/3, substitute this in the second equation
x + [13(-2x-28)/3] = -83 , distribute 13 . over the subtraction parenthesis
(3x/3)+[(-26x - 364) /3= -83, find the common denominator
3x+[(-26x - 364) = -83*3 , cross multiply
3x -26x = -249 +364, add 364 to both sides
- 23x = 115, divide both sides by (-23)
x= -5
In Circle S, ST=9 And The Length Of Widehat TU= 3/2 Π . Find The angle TSU.
According to the properties of angles in a circle, the measure of angle TSU is 36 degrees.
We can use the properties of angles in a circle to find the measure of angle TSU.
First, we know that angle TSU and angle TU are both subtended by arc TS. Since the length of arc TS is equal to the circumference of the circle, which is 2Πr (where r is the radius of the circle), we can use the length of widehat TU to find the radius of the circle.
widehat TU = 3/2 Π = (3/2) x 180 degrees = 270 degrees
The length of arc TS = 270 degrees
2Πr = 270 degrees
r = (270 degrees) / (2Π)
r = 45
Therefore, the radius of Circle S is 45.
Next, we can use ST = 9 to find the length of arc TS. Since arc TS is subtended by angle TSU, we can use the formula for arc length:
arc length = θr
where θ is the measure of the central angle in radians
The length of arc TS is:
arc TS = (angle TSU) x r
arc TS = (angle TSU) x 45
But arc TS = ST,
9 = (angle TSU) x 45
angle TSU = 9/45
angle TSU = 1/5 radians
angle TSU = (1/5) x (180/Π)
angle TSU = 36 degrees
Therefore, the measure of angle TSU is 36 degrees.
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•Vince took out a $500 loan to buy a new
couch. He paid back the loan in 2 years and
paid a total of $570. What was the simple
interest rate for his loan?
Answer:
6.73% i'm not exactly sure
Step-by-step explanation:
Brainliest to whoever gets this correct This word problem has too much information. Which fact is not needed to solve the problem? Tanisha tried to sell all her old CDs at a garage sale. She priced them at $2 each. She put 80 CDs in the garage sale, but she sold only 35 of them. How many did she have left? A. All of the information is needed. B. Tanisha sold the CDs for $2 each. C. Tanisha put 80 CDs in the sale. D. Tanisha sold 35 of the CDs.
Answer:
B. Tanisha sold the CDs for $2 each.
Step-by-step explanation:
In the following graph, the ordered pairs from the table represent points on line \blueD mmstart color #11accd, m, end color #11accd. Complete the missing values in the table. xxx yyy 222 555 666 888
Answer:
im guessing thats on khan so 4=4 and 8 = 2:)
Step-by-step explanation:
Answer: Both
Step-by-step explanation: Both equal y intercept
What is the mode of the data set?
A. 90
B. No mode
C. 85.5
D. 49
Hurry and give a SERIOUS answer! Will give brainliest.
Answer:
mode is the number listed most often and data can have more then 1 mode
the numbers most listed in the image are: 5 and zero
Step-by-step explanation:
I hope this helped!
Answer:
90
Step-by-step explanation:
mode = A number that appears most often is the mode.
what’s the answer for this question?
A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply.
The sphere has a radius of 4 cm.
The sphere has a radius of 16 cm.
The diameter's length is twice the length of the radius.
The radius's length is twice the length of the diameter.
2048
The volume of the sphere is
3
cm.
256
The volume of the sphere is
cm?
Plzzz help
Answer:
first is true
second is false
third is true
fourth is false
the last few questions about the volume are a little choppy, but the correct volume is 268cm³.
Step-by-step explanation:
hope this helps<<3
Need ANSWER ASAP
Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1
a) Graph the five key points of Parent function on the provided grid.
b) State the following for the transformed function
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=
c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)
Answer:
See explanation below.
Step-by-step explanation:
Given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Part (a)The parent function of the given function is: y = sin(x)
The five key points for graphing the parent function are:
3 x-intercepts → (0°, 0) (180°, 0) (360°, 0)maximum point → (90°, 1)minimum point → (270°, -1)(See attachment 1)
Part (b)Standard form of a sine function:
\(\text{f}(x)=\text{A} \sin\left[\text{B}(x+\text{C})\right]+\text{D}\)
where:
A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shift (axis of symmetry: y = D)Therefore, for the given transformed function:
\(y=-2 \sin \left[2(x-45^{\circ})\right]+1\)
Amplitude = -2Period = 2π/2 = πPhase shift = 45° to the rightEquation of axis of symmetry: y = 1Part (c)See attachment 2.
Two researchers make a test concerning standardized exam performance among senior high school students in one of two local communities. Researcher A tests performance from the population in the northern community, where the standard deviation of test scores is 110 ( ); Researcher B tests performance from the population in the southern community, where the standard deviation of test scores is 60 ( ). All other things being equal, which researcher has more power to detect an effect? Explain.
Answer:
Researcher B
Step-by-step explanation:
Normally, when all other things being equal, we usually say that power is higher when the standard deviation is small than when it is large.
Now, from researcher A, standard deviation is 110 while from researcher B, standard deviation is 60.
We can see that the standard deviation for researcher B is smaller than that of researcher A.
Therefore, we can conclude that since the standard deviation for researcher B is lesser than that of researcher A, it means that Researcher B will have more power to detect an effect.
8) What is the slope of the line that passes through the points (5.-11) and (-9, 17)?
A)-2
B)
B) - 1
07
D) 2
\( \Large{\boxed{\sf Option \ A) \ Slope = -2 }} \)
\( \\ \)
Explanation:To find the value of the slope of the line that passes through the points (5 , -11) and (-9 , 17), we will have to use the slope formula.
\( \\ \)
\( \Large{\left[ \begin{array}{c c c} \underline{\tt Slope \ formula \text{:}} \\~ \\ \tt m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1}\end{array} \right] } \)
Where m is the slope of the line.
\( \\ \)
To apply the above formula, we first need to identify our values.
\( \sf (\underbrace{\sf 5}_{x_1} \ , \ \overbrace{\sf -11}^{y_1} ) \ \ and \ \ (\underbrace{\sf -9}_{x_2} \ , \ \overbrace{\sf 17}^{y_2} ) \)
\( \\ \)
Let's substitute these values into the formula:
\( \longrightarrow \sf m = \dfrac{17 - (-11)}{-9 - 5} \\ \\ \\ \longrightarrow \sf m = \dfrac{17 + 11}{-14} \\ \\ \\ \longrightarrow \sf m = \dfrac{28}{-14} \\ \\ \\ \longrightarrow \sf m = \dfrac{7 \cdot 4}{7 \cdot (-2)} \\ \\ \\ \longrightarrow \sf m = -\dfrac{4}{2} \\ \\ \\ \longrightarrow \boxed{\boxed{\sf m = - 2}} \)
\( \\ \)
\( \hrulefill \)
\( \\ \)
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Gradient (m) of a Line :
\(\underbrace{\rm{ m = \dfrac{y_2 - y_1}{x_2-x_1}}}_{m}\)
Substituting the known values ,
➱ \(\rm{m=\dfrac{17-(-11)}{-9-5}}\)
➱ \(\rm{m=\dfrac{17+11}{-14}}\)
➱ \(\rm{m=\dfrac{28}{-14}}\)
➱ \(\rm{m=-2}\)
Henceforth, Gradient = -2
Distribute first, then combine like terms:
15r - 10 +2(7r) + 5r + 3
15r - 10 + 14r + 5r + 3
6r - 7
P'(12, -3) is the image of P after a dilation
centered at the origin with a scale factor of
3. What are the coordinates of P
Draw a model to show 100 ounces of soda divided equally among 12 people. How many
ounces will each person have?
Answer:1,200
Step-by-step explanation:
Answer:
1,200
Step-by-step explanation:
help with math thanks so much:)
Answer:
4/3Step-by-step explanation:
1/2 ÷ 2/3 = 1/2 x 3/2 = 3/4 -_- so easy
Answer:
The first one is three the second is four
Step-by-step explanation:
1/2÷2/3 (do copy, dot, flop)
1/2·3/2
1·3=3
2·2=4
3/4
The two numbers in bold are the answers
Select the correct statement.
a.)
With a p-value of 0.04 and a significance level of 3%, you failed to reject the null hypothesis.
b.)
With a p-value of 0.03 and a significance level of 6%, you failed to reject the null hypothesis.
c.)
With a p-value of 0.01 and a significance level of 3%, you failed to reject the null hypothesis.
d.)
With a p-value of 0.02 and a significance level of 5%, you failed to reject the null hypothesis.
The correct statement regarding p-values and decision of the hypothesis is given by:
c.) With a p-value of 0.04 and a significance level of 3%, you failed to reject the null hypothesis.
Given that;
To find the correct statement regarding p-values and decision of the hypothesis
Since, Depends on if the p-value is less or more than the significance level:
If it is more, the null hypothesis is not rejected.
If it is less, it is rejected.
Hence the correct statement for this problem is given by:
c.) With a p-value of 0.04 and a significance level of 3%, you failed to reject the null hypothesis.
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Add these fraction
1) 2/3 + 6/3
2) 4/6+9/6
3) 6/6+6/6
The values of (2/3 + 6/3), ( 4/6 + 9/6 ) and ( 6/6 + 6/6 ) are 8/3, 13/6 and 2 respectively.
What is the value of the addition operation?Given that;
1) 2/3 + 6/3
We combine the numerators over the common denominators
= ( 2 + 6 ) / 3
= 8/3
2) 4/6 + 9/6
We combine the numerators over the common denominators
= ( 4 + 9 ) / 6
= 13/6
3) 6/6 + 6/6
We combine the numerators over the common denominators
= ( 6 + 6 ) / 6
= 12/6
= 2
The values of (2/3 + 6/3), ( 4/6 + 9/6 ) and ( 6/6 + 6/6 ) are 8/3, 13/6 and 2 respectively.
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37 degree 79 degree what is the value of n
Answer:
64
Step-by-step explanation:
The angles all add up to 180. 37 plus 79 is 116. 180-116=64.
Hope this helped! If it did, please let me know by marking it the brainliest!
Hello I remember the bike for four hours and Meg rents the scooter for three hours what is the total cost of the rentals
Answer:
Step-by-step explanation:
$9/hr(4 hr) + $10/hr(3 hr) = 36 + 30 = $66