the slant asymptote of f(x)=(x^2-4x+1)/(2x-3)
Answers
Answer:
y=1/2x-5/4
I hope this helps you and I hope you do well on whatever you are working on.
Answer:
True
Step-by-step explanation:
Related Questions
somebody start a conversation w me and ill mark brainliest
Answers
Answer:
wanna be friends
Step-by-step explanation:
How do you interpret the estimated value of coefficient of EDU in the following equation:
ln(SALARY)= 1 + 0.02ln(EDU)
where SALARY is annual salary (in thousands) and EDU is years of education?
a.
we predict that 1 year increase in years of education leads to $2000 increase in salary
b.
we predict that 1% increase in years of education leads to 2% increase in salary
c.
we predict that 1 year increase in years of education leads to 2% increase in salary
d.
we predict that 1% increase in years of education leads to 0.02% increase in salary
Answers
Answer:
The correct option is d
Step-by-step explanation:
From the question we are told that
The equation is \(ln (SALARY) = 1 + 0.02 ln(EDU)\)
generally
\(ln (e) = 1\)
=> \(ln (SALARY) = ln (e) + 0.02 ln(EDU)\)
Apply log rules
=> \(ln (SALARY) = ln[ e(EDU)^{0.02} ]\)
=> \(SALARY = e(EDU)^{0.02}\)
When EDU is increase by 1% we have that
\(\frac{1}{100} * EDU + EDU\)
=> \(1.01 EDU\)
So the new SALARY will now be
\(SALARY'' = e(1.01EDU)^{0.02}\)
The ratio by which the new SALARY will increase is obtain by dividing the value of new SALARY (SALARY'' ) with that of the former SALARY (SALARY) and this mathematically represented as
\( \frac{SALARY'' }{SALARY} = \frac{e*1.01 (EDU)^{0.02}}{e (EDU)^{0.02}}\)
=> \(\frac{SALARY ''}{SALARY} = 1.0002\)
Generally the percentage increase of salary is mathematically evaluated as
\(k= (\frac{SALARY''}{SALARY} - 1 ) * 100\)
=> \(k= (1.0002 - 1 ) * 100\)
=> \(k= 0.02 \%\)
cuadrado de binomio
(x-2)(-2+x)
Answers
Answer:
x^2-4x+4
Step-by-step explanation:
See image below:)
What is the most specific name of the quadrilateral shown below?
quadrilateral
parallelogram
rectangle
square
Answers
Answer:
rectangle
Step-by-step explanation:
Answer:
Rectangle
Step-by-step explanation:
this is the answer
Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answers
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
According to the GSS 2018, 51% of 218 college graduates reported being interested in environ- mental issues compared with 43% of 167 high school graduates. a. What is the research hypothesis? Should you conduct a one-or a two-tailed test? Why? b. Present the five-step model, testing your hypothesis at the .05 level. What do you conclude?
Answers
Based on the populations involved, the research Hypothesis would be:
\(H_{O} :P_{1} =P_{2}\)\(H_{A} :P_{1} \neq P_{2}\)Should conduct a two-tailed test.What do you mean by the hypothesis?
The Null hypothesis should be that the number of college graduates interested in environmental issues is the same as high school graduates while the Alternate hypotheis says otherwise.
According to the given question,
We have the given information:
According to the GSS 2018, 51% of 218 college graduates reported being interested in environ- mental issues compared with 43% of 167 high school graduates.
What test should be used?
To populations will need to be compared which are high school graduates and college graduates so a two tail test would be best.
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Determine the value of real parameters p in such a way that the equation 3x2−24x+p=0 has one root equal to triple of the second root
has one root equal to triple of the second root.
Answers
The value of the parameter p that satisfies the given conditions is 36.
Let the roots of the quadratic equation \(3x^2 - 24x + p = 0\) be denoted by α and β, where α is the root that is triple the value of β.
Then we have:
α = 3β
The sum and product of the roots of the quadratic equation are given by:
α + β = 8 (from the coefficient of x in the linear term)
αβ = p/3 (from the constant term)
Substituting α = 3β in the first equation gives:
3β + β = 8
4β = 8
β = 2
Therefore, α = 6.
So the roots of the quadratic equation are α = 6 and β = 2.
The product of the roots is:
αβ = 6 × 2 = 12
From the equation αβ = p/3, we have:
p/3 = 12
p = 36
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Alexa is hooked on a new book series, The Galaxy. Each book in the series is the same length and chronicles a different year in the Waka Waka Galaxy. Alexa has cleared off the top shelf of her bookcase to leave room for each of the books as they come out. There is a proportional relationship between the number of books on the shelf, x, and how much shelf space the books take up (in inches), y.
The equation that models this relationship is y=2x.
How many books will take up 16 inches of shelf space? Write your answer as a whole number or decimal.
Answers
Answer: 8 books
Step-by-step explanation:
y= how much shelf space take up (inches)
x= # of books
y=2x
in this situation 16=y
16=2x
divide both sides by 2
8=x
A large company event was held in a park on a hot day. Afterward, many of the employees got sick. Some blamed the potato salad. To investigate, a random sample of 20 sick employees and a random sample of 20 non-sick employees are selected. Each selected individual is asked if they ate the potato salad. The results are displayed in the table.
Management would like to know if there is convincing evidence that the distribution of responses about eating the potato salad differs for all employees who are sick versus those who are not sick. What are the appropriate hypotheses for this test?
H0: There is no difference in the distribution of responses among those who are and are not sick.
Ha: There is a difference in the distribution of responses among those who are and are not sick.
H0: There is a difference in the distribution of responses among those who are and are not sick.
Ha: There is no difference in the distribution of responses among those who are and are not sick.
H0: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
H0: There is a difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Ha: There is no difference in the distribution of responses for the 20 employees who are sick and the 20 employees who are not sick.
Answers
The appropriate hypotheses for this test are: H0: There is no difference in the distribution of responses. Ha: There is a difference in the distribution of responses.
The chosen hypotheses are based on the objective of the investigation, which is to determine if there is convincing evidence that the distribution of responses about eating the potato salad differs between employees who are sick and those who are not sick.
The null hypothesis (H0) assumes that there is no difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This means that the proportion of employees who ate the potato salad would be the same in both groups, and any observed difference in the distribution of responses is due to random chance or factors unrelated to being sick or not sick.
On the other hand, the alternative hypothesis (Ha) proposes that there is a difference in the distribution of responses about eating the potato salad between the sick and non-sick employees. This suggests that the proportion of employees who ate the potato salad would be significantly different in the two groups, indicating a possible association between consuming the potato salad and getting sick.
By formulating these hypotheses, the investigation aims to evaluate whether the data provides convincing evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating a meaningful relationship between eating the potato salad and falling sick.
Therefore, the correct answer is:
H0: There is no difference in the distribution of responses about eating the potato salad among those who are and are not sick.
Ha: There is a difference in the distribution of responses about eating the potato salad among those who are and are not sick.
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solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Answers
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
Answers
he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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Re-solve please.
2 5/6 + (-1 4/12) =
Answers
Answer:
1.5 as decimal, 1 1/2 as a fraction
Step-by-step explanation:
1. convert 2 5/6 & (-1 4/12) to a improper fraction.
17/6 and -16/12
2. multiply 17/6 by 2 to match -16/12's denominator
17/6 * 2 = 34/12
We now have
34/12 + -16/12
A positive number plus a negative number is the same thing as subtraction so we remove the negative sign and replace the plus with a minus sign.
We have:
\(\frac{34}{12}-\frac{16}{12}\)
Now solve. 34-16 = 18
our answer is 18/12
WILL GIVE BRAINLIEST FOR RIGHT ANSWERS!!
Answers
Answer:
h(0) = -2
x = 3
Step-by-step explanation:
Line is intersecting x and y axes at points (1, 0) & (0, -2)
Slope of line (m) = (-2 - 0)/(0 - 1) = -2/(-1) = 2
y - intercept (b) = -2
Equation of line in slope-intercept form is given as:
y = mx + b
plugging the values of m and b in the above equation, we find:
y = 2x + (-2)
y = 2x - 2
Replacing y by h(x), we find:
h(x) = 2x - 2 (This is the required function)
Plug x = 0 in the function, this gives:
h(0) = 2(0) - 2
h(0) = 0 - 2
h(0) = -2
Plug h(x) = 4
4 = 2x - 2
4 + 2 = 2x
6 = 2x
x = 6/2
x = 3
On Monday it was 70 degrees. On Tuesday it dropped to 45 degrees. What was the percent of change?
Answers
Answer:
The answer is 64.29% hope it helps
Answer:
35.71 percent
Step-by-step explanation:
Percentage change= \(\frac{Old value-New value}{Old value}\)x100
= \(\frac{70-45}{70}\)x100
= \(\frac{25}{70}\)x100 = 35.71 percent (rounded to 2 decimal places)
What is the area of this figure in square meters?
Answers
Answer:
the answer is 76 ........
The point P is on the unit circle. If the y-coordinate of P is -3/7and P is in quadrant IV, thenT=Question Help: VideoSubmit Question
Answers
Answer:
\(x=\frac{\sqrt{40}}{7}\)Explanation: Provided a point on a unit circle, that has a y-coordinate of y=(-3/7) and lies in the fourth quardrand, we have to find the x-coordinate of the point, the visulization of the problem is as follows:
Using the Pythagorean theorem, the following equation can be constructed:
\(\begin{gathered} x^2+(-\frac{3}{7})^2=1^2 \\ x^2+(-\frac{3}{7})^2=1^\text{ }\Rightarrow(1) \end{gathered}\)Simplifying the equation (1) gives the following answer:
\(\begin{gathered} x^2+(-\frac{3}{7})^2=1^ \\ x^2=1-(-\frac{3}{7})^2 \\ x=\frac{\sqrt{40}}{7} \end{gathered}\)In conclusion, the answer is:
\(x=\frac{\sqrt{40}}{7}\)
I NEED HELP ASAP PLEASE!!!
Answers
Answer:
-3x+1y=-1
or
3x-1y=1
or
by multiplying with 1/3 the first equation we get
-1x+1/3y=-1/3
or from second equation
1x-1/3y=1/3
Step-by-step explanation:
y-y1=m(x-x1)
y1=-7
x1=-2
m=3
so
y-(-7)=3(x-(-2))
y+7=3(x+2)
y+7=3x+6
-3x+y=6-7
-3x+ 1y= -1
simplify the expression -1.1 + (-3.9). On the test, when tom simplified the expression he got -2.8. What mistake did tom likely make when he simplified the expression?
Answers
Answer:
the answer is -5.0
Step-by-step explanation:
Tom subtracted -1.1 from -3.9 instead of adding them together
Mr Rosario is ordering the yearbook for branch middle school
Answers
Hope he's got a satisfying teaching career.
Please I really need help with this
Answers
Answer:
(-20x -25)/(x^2-x-30)
Step-by-step explanation:
You want to simplify the rational expression (3x²)/(x²-x-30) -(3x+5)/(x-6).
Use a common denominatorUsually these problems are constructed so that the higher-degree polynomial denominator has the lower degree denominator as a factor. That is the case here.
\(\dfrac{3x^2}{x^2-x-30}-\dfrac{3x+5}{x-6}=\dfrac{3x^2}{(x+5)(x-6)}-\dfrac{(x+5)(3x+5)}{(x+5)(x-6)}\\\\=\dfrac{3x^2-(3x^2+20x+25)}{x^2-x-30}\)
Simplify\(=\boxed{\dfrac{-20x-25}{x^2-x-30}}\)
Terry paid $4.50 for 3 cans of corn.What is the unit price?
Answers
Answer:
1.50
Step-by-step explanation:
4.50÷3= 1.50 to check you could do 1.50 x 3
Write the equation of the graph below in vertex form.10- 10.51051015-10Oy=2(2 + 3)? – 5Oy= {(2 – 3)? - 5Oy= {(x + 3) - 5Oy=2(x - 3) - 5
Answers
The vertex form of a quadratic equation is given by the following expression:
\(y=a(x-h)_{}^2_{}+k\)Where "a" is the constant multiplying the term of second order for the quadratic equation and (h,k) are the coordinates of the vertex. Looking on the graph we can determine the vertex to be on the coordinates (-3, -5), therefore:
\(\begin{gathered} y=a\lbrack x-(-3)\rbrack^2-5 \\ y=\frac{1}{2}(x+3)^2-5 \end{gathered}\)The correct answer is the third option.
Describe and correct the error a student made in graph in the function y= 5/x
Answers
Answer: The function y = 5/x is a reciprocal function, which means the graph of the function will be a hyperbola.
The error the student made could be in the following ways:
The student might have plotted the graph as a straight line instead of a hyperbola
The student might have neglected to reflect the graph across the y-axis, since the function is not defined for x = 0
The student might have not plotted the asymptotes of the graph. The graph will have vertical asymptotes at x = 0 and x = infinity.
To correct the error, the student should plot the graph as a hyperbola with vertical asymptotes at x = 0 and x = infinity. And also reflect the graph across the y-axis.
In case of any further doubts student should check with their teacher or a math reference book.
Step-by-step explanation:
a drawer contains 8 blue socks and 8 black socks. it is dark and you cannot tell the difference between colors
Answers
Answer:
yes
Step-by-step explanation:
i will trun on the light and see what color the socks are
please write complete question
PLEASE HELP!!!!!!!!!!!!!
Answers
Hope this helps!
Kay enters a cooking contest. As part of the contest, Kay must cook a dish using a randomly assigned meat and vegetable.
The table shows the sample space for the possible meat and vegetable combination she could be assigned.
steak, yams lamb, yams pork, yams tuna, yams salmon, yams
steak, corn lamb, corn pork, corn tuna, corn salmon, corn
steak, beets lamb, beets pork, beets tuna, beets salmon, beets
steak, peas lamb, peas pork, peas tuna, peas salmon, peas
The probability of Kay being assigned either steak or pork as the meat and corn as the vegetable is .
Answers
Answer:
2/20 or 1/10
Step-by-step explanation:
this is because there are only 2 options that have steak/pork with corn
Answer:it is 1/10
Step-by-step explanation:
don't ask how im not gonna give an explanation
Why do banks charge a fee when clients transact on their accounts?
Answers
Answer:
Banks charge fees to help make a profit.
Step-by-step explanation:
Bank fees allow financial institutions to recoup operating expenses. Banks also make money on loans, via interest and other fees.
Please help. A rectangle has an area of 18cm
The lengths of the sides are whole numbers
How long could the sides of the rectangle be?
Answers
Hey mate!!!!
We know that area =
lxb
Here we should find the factors of 18.
Factors of 18 are
1, 2, 3, 6, 9, 18
Now the sides could be long as 18 itself.
Examples:
1 x b
1) 1 x 18
2) 2 × 9
3) 3 x 6
4) 9× 2
5) 18 x 1
6) 6 x 3
Hope it helps dear friend
6=sqrt x^2+3-x
steps included please
Answers
Answer:
-3/2
Step-by-step explanation:
6=|x|+3-x
move the terms
-|x|+x=3-6
-|x|+x=-3
-x+x=-3 , x > 0 (put a line under >)
-(-x)+x=-3 , x < 0
-3/2 , x < 0 find the intersection
x= -3/2
if you dont want it as a fraction you can do -1.5 in decimal form
From the top of a building, 30.15m high, the angle of depression of a point on the ground level 25.88'm from the base is B° find B
Answers
Answer:
49.36 degrees to the nearest hundredth.
Step-by-step explanation:
In the right angled triangle formed the adjacent side is 25.88 m and the opposite = 30.15 m.
So tan B = 30.15 / 25.88 = 1.16499
So m < B = 49.36 degrees.