what is the slope of the line tangent to the curve (y−1)x2=y 1 at the point (0,−1)
Answers
Therefore, the slope of the line tangent to the curve at the point (0,-1) is 0.
To find the slope of the tangent line, we need to take the derivative of the curve and evaluate it at the given point.
Taking the derivative of the curve with respect to x, we get:
2x(y - 1) + x^2(dy/dx) = dy/dx
Simplifying and solving for dy/dx, we get:
dy/dx = (2x(y - 1))/(x^2 - 1)
To find the slope of the tangent line at the point (0,-1), we substitute x=0 and y=-1 into the above equation:
dy/dx = (2(0)(-1))/(0^2 - 1) = 0
To know more about tangent,
https://brainly.com/question/15032050
#SPJ11
Related Questions
If you invest $900 in a bank where it will earn 8 percent compounded annually, how much will it be worth at the end of seven years? Complete the steps below using cell references to given data or previous calculations. In some cases, a simple cell reference is all you need. To copy/paste a formula across a row or down a column, an absolute cell reference or a mixed cell reference may be preferred. If a specific Excel function is to be used, the directions will specify the use of that function. Do not type in numerical data into a cell or function. Instead, make a reference to the cell in which the data is found. Make your computations only in the green cells highlighted below. In all cases, unless otherwise directed, use the earliest appearance of the data in your formulas, usually the Given Data section. Given Data: Annual Interest Rate 8% Number of years 7 Money available for investing S900.00 Value of investment after 7 years
Answers
The investment will be worth approximately $1,546.45 at the end of 7 years. To calculate the value of the investment after 7 years, we can use the formula for compound interest:
Value = Principal * (1 + interest rate)^time
Given Data:
Principal (P) = $900
Annual Interest Rate (r) = 8% or 0.08
Number of years (t) = 7
Substituting the values into the formula, we have:
Value = $900 * (1 + 0.08)^7
Calculating the exponent:
(1 + 0.08)^7 = 1.08^7 ≈ 1.718279
Now we can calculate the value of the investment:
Value = $900 * 1.718279 ≈ $1,546.45
Therefore, the investment will be worth approximately $1,546.45 at the end of 7 years.
In this calculation, we used the compound interest formula, which takes into account the initial principal, the annual interest rate, and the number of compounding periods (in this case, 7 years). The interest is compounded annually, meaning that at the end of each year, the interest earned is added to the principal for the next year's calculation.
Learn more about interest here:
brainly.com/question/7571656
#SPJ11
What is the most specific category this shape can be sorted into?
A Venn diagram titled Triangles. Inside the diagram are circles, there is one labeled Scalene and one labeled Isosceles. Inside the Isosceles circle is another circle labeled Equilateral. Below the diagram is a triangle with a single tick mark on each side.
Equilateral
Isosceles
Scalene
Triangle
Answers
The most specific category that this shape can be sorted into is "Triangle."
What is the triangle?
A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
The Venn diagram shows the relationships between different types of triangles.
The Scalene circle represents all the triangles that have no equal sides.
The Isosceles circle represents all the triangles that have two equal sides.
The Equilateral circle represents all the triangles that have three equal sides.
The triangle with a tick mark on each side does not provide enough information to determine whether it is a scalene, isosceles, or equilateral triangle.
Therefore, the most specific category that this shape can be sorted into is "Triangle."
To learn more about triangles visit:
https://brainly.com/question/1058720
#SPJ1
plzzzzz help ill mark you plzzzzzzz
Answers
Answer:
Step-by-step explanation:
a. 5 3/6 - 1 2/6 = 4 1/6
b. 8 9/12 - 5 10/12
7 21/12 - 5 10/12= 2 11/12
A: 5 1/2 - 1 1/3.
Answer: 25/6.
in mix fraction ot would be, 4 1/6
and in decimal from it will be, 4.166667.
B: 8 3/4 - 5 5/6.
Answer: 35/12.
In mix fraction it will be, 2 11/12.
and in decimal from it would be, 2.916667.
evaluate the following using identity ( part 2 )
4. (0.4a + 1/4 b) (0.4a - 1/4b)
5. (x + 1/y) ( x-1/y)
6. (2/3x + 3/11y) (2/3x - 3/11y)
Answers
Answer:
refer the attachment pls
I dont know how to do it sooo
Answers
Answer:
C
Step-by-step explanation:
Well it would be C/3Thrd because you are repeating 3(x-1) aren't you?
Brianna’s pet lizard measures 15 centimeters long. Her goldfish measures 127 millimeters long. How many centimeters longer is Brianna’s lizard than her goldfish?
Answers
Answer: 2.3
Step-by-step explanation: you have to simplify 127 millimeters to centimeters which is 12.7 centimeters then subtract by 15 which is 2.3.
You pick a card at random. Without putting the first card back, you pick a second card at random. 5 6 7 8 What is the probability of picking a 5 and then picking a number less than 7? Write your answer as a fraction or whole number.
Answers
The probability of the event {E} - "picking a 5 and then picking a number less than 7 is P{E} = 0.58.
What is probability?Probability of an event indicates how likely that event is going to happen. It is in range between 0 and 1.
Given is that You pick a card at random. Without putting the first card back, you pick a second card at random.
We can write the probability of the event {E} - "picking a 5 and then picking a number less than 7" as -
P{E} = 1/4 + 1/3
P{E} = 0.25 + 0.33
P{E} = 0.58
Therefore, the probability of the event {E} - "picking a 5 and then picking a number less than 7 is P{E} = 0.58.
To solve more questions on probability, visit the link below
https://brainly.com/question/29769471
#SPJ1
convert the ff.
please help me it's I'm gonna be late huhuhuh!
Answers
Answer:
1. 122
2. 41
3. 80.6
4. 55
5. 60
6. 90
Siri can calculate this for future reference
Answer:
122
41
80.6
55
60
90
Taylor multiplied 8.25 x 104 and 0.4 x 104 and got 8.65 x 104
Explain Taylor's mistake and give the correct answer. (1 pt. for the explanation and 1 pt. for the correct answer.)
Answers
Answer:
Taylor added. The correct answer is 3.3*10^8
Step-by-step explanation:
Taylor haven't consider the exponents properties and multiplication was also incorrect.
What are exponents?Exponent refers to how many times a number multiplied by itself.
Given:
8.25 x \(10^{4}\) and 0.4 x \(10^{4}\)
Now, multiplying by considering exponents as
a^m * a^n = a^( m+ n)
So,
=8.25 * 0.4 * \((10) ^{4+4}\)
= 3.3 * \(10^8\)
Hence, Taylor haven't consider the exponents properties and multiplication was also incorrect.
Learn more about exponents here:
https://brainly.com/question/5497425
#SPJ2
Need answer quick. WILL MARK BRAINLIEST FOR CORRECT ANSWER!!
Charlotte works in a calling center making appointments for a local lawn care service. She earns $40 each full workday plus an additional $2 for each appointment that she schedules. Today, Charlotte needs to earn at least $75
_______Write an inequality to describe this situation. In two or more complete sentences, describe the solution set of this inequality and what it means for Charlotte.
Answers
Answer:
40 + 2x ≥ 75
Step-by-step explanation:
X equals 18 or above. This means that in order to meet her goal of $75 dollars, Charlotte needs to schedule at least 18 appointments.
Answer:
A=
2x+40=75
B=
Charlotte would have to schedule 18 appointments.
First you have to subtract 40 from 75 which equals 35
Second you divide 35 by 2 which equals 17.5
Since Charlotte can't schedule 17 1/2 appointments so you round up to 18
Step-by-step explanation:
Let n be a positive integer that is not divisible by 3 and let G
be a group of order 3n. Prove that if x, y ∈ G are elements of
order 3, then y is conjugate to either x or x^(-1).
Answers
In a group G of order 3n, where n is a positive integer not divisible by 3, if x and y are elements of order 3, it can be proven that y is conjugate to either x or x⁻¹. This result highlights the relationship between elements of order 3 in such groups.
To prove that y is conjugate to either x or x⁻¹, we need to consider the properties of groups of order 3n and elements of order 3.
First, since the order of G is 3n, by Lagrange's theorem, the order of any element in G must divide the order of the group. Therefore, the orders of x and y must be divisors of 3.
Since x has an order of 3, it means that x generates a cyclic subgroup of order 3. Similarly, y also has an order of 3 and generates another cyclic subgroup of order 3 in G.
Now, if x and y are elements of the same cyclic subgroup, then they are conjugate to each other. This is because within a cyclic subgroup, every element is conjugate to any other element. Therefore, if x and y are in the same cyclic subgroup, y is conjugate to x.
On the other hand, if x and y are in different cyclic subgroups, we can consider the cosets formed by these subgroups. Since the order of G is 3n and each subgroup has an order of 3, there are exactly n cosets. This means that each element in one subgroup is conjugate to exactly one element in the other subgroup. Therefore, if x and y are in different cyclic subgroups, y is conjugate to x⁻¹.
Hence, we have shown that in a group G of order 3n, if x and y are elements of order 3, y is conjugate to either x or x⁻¹.
Learn more about: Group theory and Conjugacy
brainly.com/question/32559990
#SPJ11
true/false: the this pointer is automatically passed to static member functions of a class.
Answers
The given statement "The this pointer is not automatically passed to static member functions of a class." is false as static member functions can be called without creating an object of the class, and the "this" pointer is used to refer to the current instance of the class. Since no instance is required for static member functions, the "this" pointer is not applicable in this case.
In object-oriented programming, a class is a blueprint for creating objects, and member functions are functions defined within a class that can be called on objects of that class.
Static member functions, also known as class methods, are special member functions that are associated with the class itself rather than any specific object or instance of the class. They are declared using the "static" keyword.
Since static member functions do not operate on specific instances of the class, they do not have access to the "this" pointer. The "this" pointer is a hidden pointer that points to the current object instance, allowing non-static member functions to access the data members and other member functions of the object. However, static member functions do not have this pointer because they are not tied to any specific object.
Static member functions can only access static members of the class, which include static variables and other static member functions. They can be called using the class name itself, without creating an instance of the class. This is because they are not associated with any particular object but rather with the class as a whole.
To learn more about static member function: https://brainly.com/question/31563511
#SPJ11
x(5 – 2) = 4x - x
infinite solutions
no solution
unique solution
Answers
Answer:
Infinite solutions
Step-by-step explanation:
Any value of x makes the equation true
( − ∞ , ∞ )
Fill in the blank by performing the indicated elementary row operation(s)
[2 0 -1|-7]
[1 -4 0| 3]
[-2 8 0|-0]
- 2R_{2} + R_{1}, R_{2} + R_{1}
?
Answers
The resulting matrix after performing the given elementary row operations is:
[2 0 -1|-7]
[0 4 -1|-1]
[0 8 -1|-0]
Performing the indicated elementary row operation(s), the given matrix can be transformed as follows:
[2 0 -1|-7]
[1 -4 0| 3]
[-2 8 0|-0]
2R₂ + R₁:
[2 0 -1|-7]
[0 4 -1|-1]
[-2 8 0|-0]
R₂ + R₁:
[2 0 -1|-7]
[0 4 -1|-1]
[0 8 -1|-0]
So, the resulting matrix after performing the given elementary row operations is:
[2 0 -1|-7]
[0 4 -1|-1]
[0 8 -1|-0]
Learn more about Indicated elementary row operation(s) here
https://brainly.com/question/29156042
#SPJ11
this is linear algebraIf A is an n X n diagonalizable matrix, then each vector in Rn can be written as a linear combination of eigenvectors of A.true or false
Answers
This is linear algebra If A is an n X n diagonalizable matrix, then each vector in Rn can be written as a linear combination of eigenvectors.
It is the TRUE statement.
If A is diagonalizable, then A has n linearly independent eigenvectors in \(R^n\) By the Basis Theorem, the set of these eigenvectors spans \(R^n\).
We have to check the given statement is true or false.
Now, According to the question:
It is True statement. If A is diagonalizable, then A has n linearly independent eigenvectors in \(R^n\). By the Basis Theorem, the set of these eigenvectors spans \(R^n\). This means that each vector in \(R^n\) can be written as a linear combination of the eigenvectors of A.
Learn more about linear combination at:
https://brainly.com/question/30341410
#SPJ4
8x + 3 = 14
find what x is to get to 14
Answers
Step-by-step explanation:
To find the value of x, we need to isolate it on one side of the equation.
First, we can subtract 3 from both sides:
8x + 3 - 3 = 14 - 3
This simplifies to:
8x = 11
Next, we can divide both sides by 8:
8x/8 = 11/8
This gives us:
x = 11/8
So the value of x that will get us to 14 is 11/8.
Hope this helps
So 8x=11
11/8=1.375
In a skiing competition. Jen finishes in 13.524 seconds, Ali finishes in 13.51
seconds and Sofia finishes in 13.5 seconds. Who finished first?
Answers
Answer:
Sofia at 13.5 seconds
Step-by-step explanation:
These numbers aren't easily compared since they don't have the same number of digits. Sofia's time of 13.5 seconds is less than that of the other two times, 13.524 and 13.51 seconds, but the lack of a zero after the 5 in Sofia's time is concerning. If the other times were measured toi within a hundredth of a second, why not Sofia's time also? Perhps her true time was 13.56 seconds, but the 0.05 was dropped. She would be slower than the other two. But, in the absence of helpful information, the only thing that can be said is that Sofia's time is reported to be less than either Jen and Ali.
Inscribed angles, I’m being asked for a, and b but I don’t understand this question
Answers
Given the figure of a circle.
There are 3 arcs with the following measures: a, 100, and 136
the sum of the measures of the arcs = 360
So, we can write the following equation:
\(a+100+136=360\)Solve the equation to find (a):
\(\begin{gathered} a+236=360 \\ a=360-236=124 \end{gathered}\)The angle (b) is the Inscribed angle opposite the arc (a)
\(b=\frac{1}{2}a=\frac{1}{2}*124=62\)So, the answer will be:
\(\begin{gathered} a=124 \\ b=62 \end{gathered}\)Detemine which equation has the same solutions as the equation below.
4X² + 32X - 28 = 0
A. (X+4)²=23
B. 4(X+4)²=36
C. (X+8)²=57
D. 4(X+8)²=28
Answers
The answer is B i hopes this helps
-38=-2(n+6)+6(3n+1) Can you please solve marking branlest show work
Answers
Answer:
n = -2
Step-by-step explanation:
-38 = -2n -12 +18n +6
-38 =16n -6
-38 +6 =16n
-32= 16n
n=-2
7. What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes
from
(a) 6 to 12
(b) 5 to 8
hi there if you are there
please reply it is a very urgent assignment that I have to send it by today .
Answers
(b) 1/4 of a rev
State the explicit formula for the sequence below and find the 8th term.
-4, 16, -64, 256,...
O an = -4(4)n-1; n = 8 is-262,144
O an = -4(-4)-1; n = 8 is 65,536
O an = 4(4)n-1; n = 8 is 65,536
O a = 4(-4)n-1; n = 8 is 261,144
6.25 pts
< Previous
Next >
Answers
The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
The given sequence is -4, 16, -64, 256,...
If we observe the sequence it is a geometric sequence
aₙ=a.rⁿ⁻¹
a is the first term and r is the common ratio
From the sequence the first term is -4 and common ratio is -4
aₙ=(-4).(-4)ⁿ⁻¹
Plug in the value n as 8
a₈=(-4).(-4)⁷
The value of minus four power seven is minus sixteen thousand three hundred eighty four
a₈=(-4)(-16384)
When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six
a₈= 65536
Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
To learn more on Sequence click:
https://brainly.com/question/21961097
#SPJ1
In the figure there are 5 equal rectangles and each of its sides is marked with a number as indicated in the drawing. Rectangles are placed without rotating or flipping in positions I, II, III, IV, and V in such a way that the sides that stick together in two rectangles have the same number. Which of the rectangles should go in position I?
Answers
The rectangle which should go in position I is rectangle A.
We are given that;
The rectangles A,B,C and D with numbers
Now,
To take the same the number of side
If we take A on 1 place
F will be on second place
And B will be on 4th place
Therefore, by algebra the answer will be rectangle A.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ1
The a oranial price of a skate broad was reduced by 15 dollars .the new price is 49 dollars if p=the stakebroads oranail price in dollars what mathematical sentence expresses the information
a.49-p=15
b.15-p=49
c.15+p=49
d.p-15=49
Answers
Answer:
d. p - 15 = 49
Step-by-step explanation:
p = original price
The price was reduced by 15 dollars.
The new price is p - 15.
The new price is 49.
p - 15 = 49
Answer: d. p - 15 = 49
Laura spent 78.5% of her paycheck on her mortgage payment. If her paycheck was $1562 how much was her mortgage?
Answers
Answer:
$337.12
Step-by-step explanation:
Multiply $1562 by 78.5% (or 0.785) =1230.88
Then subtract the percent of her paycheck spent (1230.88) from the total of her paycheck(1562) to find out how much is missing(the mortgage payment)
1562-1230.88=337.12
what number is 75% of 32?
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
24
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(\text{Converting 75 percent to a decimal: } 75\%\rightarrow \frac{75}{100}\rightarrow 0.75\\\\\rightarrow 0.75 * 32 = \boxed{24}\\\\\\\rightarrow \text{75 percent of 32 is \textbf{24}.}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
a jazz concert brought in $157,437 on the sale of 8,856 tickets. if the tickets are sold for $10 and $20 dollars, how many of the $10 dollar ticket were sold?
Answers
1968 of the $10 dollar ticket were sold by jazz & 6873 of the $20 dollar ticket were sold by jazz.
Jazz total amount received = $157,437
Total tickets sold = 8,856
Let the $10 tickets sold = x
The $20 tickets sold = 8,856 - x
Here the solution below :
$10(x) + 8,856 - x($20) = $157,437
$10x + $177120 - $20x = $157,437
-$10x = $157,437 - $177120
-$10x = - $19683
x = 1968.3
1968 of the $10 dollar ticket were sold by jazz & 6873 of the $20 dollar ticket were sold by jazz.
Learn more about Tickets sold:
https://brainly.com/question/29591359
#SPJ4
Michael is purchasing back to school supplies. He gets a math workbook for $19.88, a calculator for $35.97, and 3 packs of pencils for $3.24 each. How much did he spend on school supplies?
Answers
What is the least common multiple of 5 and 20? Please I need this!!!!!
Answers
Answer: 20
Step-by-step explanation:
where do 5 and 20 meet at the first time, 5, 10, 15, 20, so 20 would be the lcm
Answer: 20
Step-by-step explanation:
The least common multiple (LCM) for 5 and 20 will be 20. This is because if you times 5 by 4, you will get 20. Your other number is already 20 so you don't have to touch that number.
Simplify, using the distributive property and then combining like terms.
4m−3(2m+1)
Answers
Answer:
4m−3(2m + 1)
= 4m - 3*2m - 3*1
= 4m - 6m - 3
= -2m - 3
Hope this helps!
:)
Answer:
-2m - 3
Step-by-step explanation:
Remember to follow PEMDAS. First, distribute -3 to all terms within the parenthesis:
-3(2m + 1) = (-3 * 2m) + (-3 * 1) = -6m + (-3)
4m - 6m - 3
Simplify. Combine like terms:
(4m - 6m) - 3
(-2m) - 3
-2m - 3 is your answer.
~