Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not exist, enter DNE.)
Answers
Answer:
The answer is "0".
Step-by-step explanation:
Please find the correct question in the attached file.
Given value:
[tex]\to f(x) =\frac{x^2}{x^2+5}\\\\[/tex]
Formula:
[tex]\bold{\frac{d}{dx} \frac{u}{v} = \frac{ v \frac{du}{dx} - u \frac{dv}{dx}}{v^2}}[/tex]
[tex]\to f'(x) =\frac{(x^2+5) 2x -2x^3 (2x)}{(x^2+5)^2}\\\\\to f'(0) =\frac{(0^2+5)2(0) -4(0)^4}{(0^2+5)^2}\\\\\to f'(0) =\frac{(0)(5) -2(0)}{(5)^2}\\\\\to f'(0) =\frac{0 - 0}{(5)^2}\\\\\to f'(0) =\frac{0}{25}\\\\\to f'(0) = 0[/tex]
Related Questions
Does anyone have the answer?
Answers
Answer:
hi to what. good bye???????
Anyone know this because I need help !!!!
Answers
Answer: 90 clockwise rotation
Step-by-step explanation:
you can take any point and replace its (x,y) to (y,-x) otherwise called the 90 clockwise conversion and it will map figure C onto figure C'
I need help please :/
Answers
Part (a)
Plug in y = 0 and solve for x. Use the zero product property
y = x(x+3)(x-2)
0 = x(x+3)(x-2)
x(x+3)(x-2) = 0
x = 0 or x+3 = 0 or x-2 = 0 .... zero product property
x = 0 or x = -3 or x = 2
The three roots or zeros are x = 0 or x = -3 or x = 2
================================================
Part (b)
The roots of the graph are: x = -2, x = 1, x = 3. Each root is where the graph crosses or touches the horizontal x axis.
Note how x = 0 is found in part (a), but not found here. This is one example where the graphs don't match. Another would be x = -3 is in part (a), but not here.
So that's why the graph does not match with the function in part (a)
Felipe has a flower bed with area 25/4 ft.squared. He expands the flower bed to have area 75/4 ft.squared. How many square ft of space does the larger flower bed have for every square foot of the smaller flower bed?
Answers
Answer: 3
Step-by-step explanation:
Given data:
Area of smaller flower bed = 25/4
Area of bigger flower bed = 75/4.
Solution:
75/4 = 25/4
Divide both sides 5
15/4 = 5/4
= 15/4 / 5/4
= 15/4 / 4/5
= 3
Answer:
The larger flower bed has 3 square ft of space for every square foot of the smaller flower bed
Step-by-step explanation:
In other words in this question, we are asked to calculate how many of the smaller flower bed is contained in the larger one.
Mathematically, that would be 25/4 squares ft divided by 75/4 squared feet
Thus will be 75/4 divided by 25/4
Hence 75/4 * 4/25 = 3
An electronic store sold 6% of the cell phones that were on sale. If only 21 cell phones were sold,
how many cell phones were not sold? Write an equation to solve.
Select the correct choice below and fill in the answer box to complete your choice.
(Type a whole number.)
O A. 21x=0.06; x = 0.06=21; x =
OB. 0.06x = 21; x = 21 -0.06; X=
OC. X=0.06 = 21; x = 21 x 0.06; X=
OD. X-(21 -0.06) = 21; x = 21+ (21 -0.06); x =
There were
cell phones not sold.
(Type a whole number.)
Answers
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of phones that were on sale, given that 6% of the cell phones that were on sale, therefore:
number of cell phones sold = 6% of x = 0.06 × x = 0.06x
21 phones were sold, hence:
0.06x = 21
x = 21/0.06
x = 350 phones
This means that 350 cell phones were on sale.
Number of cell phones not sold = total number of cell phones that were on sale - number of cell phones sold
Number of cell phones not sold = 350 - 21
Number of cell phones not sold = 329
cuál es el denominador común de las fracciones?
Answers
Answer:
?????????????????????????
Step-by-step explanation:
In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was
determined that 20% of all stock investors are retired people. In addition, 40% of all U.S. adults invest in mutual funds. Suppose a random sample of 25 stock investors is taken What is the probability that fewer than 4 are retired people
Answers
Answer:
a) 0.1108
(b) 0.0173
Step-by-step explanation:
We are given that 20% of all stock investors are retired people. A random sample of 25 stock investors is taken.
Firstly, the binomial probability is given by;
where, n = number of trails(samples) taken = 25
r = number of successes
p = probability of success and success in our question is % of
retired people i.e. 20%.
Let X = Number of people retired
(a) Probability that exactly seven are retired people = P(X = 7)
P(X = 7) =
= = 0.1108
(b) Probability that 10 or more are retired people = P(X >= 10)
P(X >= 10) = 1 - P(X <= 9)
Now, using binomial probability table, we find that P(X <= 9) is 0.98266 at n = 25, p = 0.2 and x= 9
So, P(X >= 10) = 1 - 0.98266 = 0.0173.
if you can help would that would be amazing
Answers
Answer:
yes for the first one
because if you take number one for an example and use it for y
1^7*1^7*1^7=1 and 1^7*7*7=1
they both equal one
2.) [tex]\sqrt{x}[/tex]
[tex]\sqrt[3]{x}\sqrt[6]{x}=\:x^{\frac{1}{3}}x^{\frac{1}{6}}=\:x^{\frac{1}{3}+\frac{1}{6}}[/tex]
[tex]=x^{\frac{1}{3}+\frac{1}{6}}[/tex]
join 1/3+1/6= 1/2
then you get the answer
[tex]\sqrt{x}[/tex]
Step-by-step explanation:
brainlist pls:>
How many people are in the set Cn D?
4
6
36
38
Answers
Answer: A.) 4 people
Step-by-step explanation:
In a study using 50 foreign-language vocabulary words, the learning rate L (in words per minute) was found to depend on the number of words already learned, x, according to the equation L(x) = 20 – 0.4x
Answers
Here is the complete question
1. State coordinates of x axis
2. State coordinates of y axis
3. State the slope
4. Graph the function
5. Is learning rate increasing or decreasing?
Answer:
1. (50,0)
2. (0,20)
3. Slope = -0.4
4. Check attachment for graph
5. Learning rate is decreasing
Step-by-step explanation:
1.
L(x) = 20-0.4x
20 = 0.4x
x = 20/0.4
x = 50
(50,0)
2
For y coordinate;
L(0) = 20-0.4(0)
= 20
(0,20)
3.
Slope,
Y = -0.4x+20
We compare with
Y = mx+c
m = -0.4
Intercept c = 20
4. Check attachment
5. The slope is negative at m = -0.4 therefore the rate of learning is on a decline. As number of words learnt increases, learning rate falls.
Answer:
Step-by-step explanation:
These are 2 questions on percentage ❤️
Answers
Answer:
Question 19: 45 Question 20: 130
Step-by-step explanation:
Answer:
45 and 130
Step-by-step explanation:
Convert your percentage into decimals first then multiply.
150% is the same as 1.5
40% is the same as 0.4
So you multiply 1.5 times 30 and get 45
multiply 0.4 times 325 and get 130
All lines parallel to AB
Answers
Answer:
2X-1
Step-by-step explanation:
Answer:
fg
Step-by-step explanation:
just did the test
Let S be the statement: The product of any irrational number and any nonzero rational number is irrational. (a) Write a negation for S. (b) Prove S by contradiction.
Answers
Answer:
Negation: The product of any irrational number and any nonzero rational number is not irrational.
Step-by-step explanation:
(a)
Given statement: The product of any irrational number and any nonzero rational number is irrational.
Negation: The product of any irrational number and any nonzero rational number is not irrational.
(b)
Let if possible the product of any irrational number and any nonzero rational number is not irrational that is rational.
Let [tex]x[/tex] be an irrational number and [tex]y\neq 0[/tex] be a rational number.
[tex]xy=z[/tex] where [tex]z[/tex] is rational.
So,
[tex]xy=z\\x=\frac{z}{y}[/tex]
As quotient of two rational numbers is also rational, [tex]x[/tex] must be rational which is a contradiction to the fact that [tex]x[/tex] is irrational.
A farm has 56 horses and sheep in all. There are 8 fewer sheep than horses. How many horses are there on the farm?
Answers
Answer:
32 Horses
Step-by-step explanation:
32-8=24
There are 32 horses and 24 sheep (As you can see there are 8 fewer sheep than horses)
I sort of guess and checked:
I tried to think of 2 numbers that added to 56 but one number was 8 less than the other one.I figured out that 32 and 24 fit this description :)6th grade math I mark as brainliest
Answers
Explain what the quote means please.
"In today's competitive job market, it's important to realize that finding a job is in itself a full-time job."
Answers
This quote means that finding a job is a tough task and it takes much time, due to competition.
What is a job market?The job market refers to the state of employment opportunities. It is conditions for job seekers in a particular industry, geographic region, or overall economy.
It includes factors such as the demand for labor, the number of available job openings, the qualifications required for those jobs, and the compensation and benefits offered to employees.
The job market can vary depending on economic conditions, industry trends, and government policies, among other factors. Job seekers and employers both use the job market to evaluate the availability and competitiveness of employment opportunities. Finding a job is a tough task.
Learn more about job markets, here:
https://brainly.com/question/14662793
#SPJ2
Select the correct answers.
Mila is at a flea market. She has $50 in her wallet. She decides that she will spend $15 on jewelry, $20 on a pair of jeans, $5 on a T-shirt, and $10 on something to eat. She likes a one-of-a-kind T-shirt, but the seller is not ready to sell it for less than $8. She thinks of five ways to deal with this situation. Which two choices indicate a trade-off?
She will try to find another seller selling the T-shirt for a lower price.
She will give up on the T-shirt and use the money to buy better jeans.
She will use some of the money she received from her aunt on her birthday.
She will pay the seller $5 and promise to pay the remainder on another day.
She will buy the T-shirt for $8 and not order juice at lunch.
Answers
Answer:
1and3
Step-by-step explanation:
A sinking fund is established to discharge a debt of $30,000 in 5 years. If deposits are made at the end of each 6-month period and interest is paid at the rate of 4%, compounded semiannually, what is the amount of each deposit?
Answers
Answer:
what you have to do is do 30000 * 5 and then do 6 divided by the number and then four times that number and whatever the answer you get be your answer hope this help
How do you write expanded from for 0.68 with decimals
Answers
Answer:
0.6 + 0.08
Step-by-step explanation:
The theory that it is reasonable to chose the simpler theory when choosing between two competing theories of equal explanatory value is
Answers
Answer:
Occam’s razor theory.
Step-by-step explanation:
This theory is known as Occam’s razor theory.
It's a theory based on the principle whereby we give precedence to simplicity. It states that out of two competing theories, the one with the simpler explanation of an object should be embraced over the other. The reason is that the philosopher William of Ockham said that "objects are not meant to be multiplied beyond absolute necessity.”
This definition resonates with what is explained in the question.
Thus, the theory is as explained.
Fraction Multiplication and División:Question 4
Tina has $72 to spend on new t-shirts. If each t-shirt costs $12,
how many different t-shirts can Tina buy? Set up a fraction to
determine how many t-shirts Tina can buy. Then solve.
Answers
Answer: 6 T-shirts
Step-by-step explanation:72/12=6
Given f(t) = 2x ^ 2 - 3x , what is the value of f(6) ?
Answers
Answer: 54
Step-by-step explanation:
help me answer this also please simply also no decimals and this is Dividing Radicals.
Answers
Answer:
[tex]\displaystyle \frac{\sqrt{2}}{x^2}[/tex]
Step-by-step explanation:
Dividing Radicals
Given the division of radicals:
[tex]\displaystyle \frac{\sqrt{Z}}{\sqrt{Y}}[/tex]
We can join both arguments of the radicals into one simple radical as follows:
[tex]\displaystyle \sqrt{\frac{Z}{Y}}[/tex]
We are given the expression:
[tex]\displaystyle 2\frac{\sqrt{24}}{\sqrt{48x^4}}[/tex]
Joining them in a single radical:
[tex]\displaystyle 2\frac{\sqrt{24}}{\sqrt{48x^4}}=2\sqrt{\frac{24}{48x^4}}[/tex]
Simplifying the fraction:
[tex]\displaystyle 2\sqrt{\frac{24}{48x^4}}=2\sqrt{\frac{1}{2x^4}}[/tex]
Multiplying by 2 in numerator and denominator:
[tex]\displaystyle 2\sqrt{\frac{1}{2x^4}}=2\sqrt{\frac{2}{4x^4}}[/tex]
The denominator is a perfect square:
[tex]\displaystyle 2\sqrt{\frac{2}{4x^4}}=2\frac{\sqrt{2}}{2x^2}[/tex]
Simplifying by 2:
[tex]\boxed{\displaystyle \frac{\sqrt{2}}{x^2}}[/tex]
The width of a rectangle
is 11 feet longer than the
length. The perimeter of the
rectangle is 70 feet. Find
the length and the width
Answers
Answer:
Hello! The answer to this problem is Length= 27 and Width= 8
Step-by-step explanation:
2(11+2x) +2x = 70
6x + 22 = 70
6x = 48
x = 8
A sample of n = 16 is selected from a normal population with µ = 60 and σ = 20. For each question, provide the z-score and probability/proportion for your answer. A) What is the probability that the sample mean will be greater than 50? B) What is the probability that the sample mean will be less than 56? C) What is the probability that the sample mean will be within 5 points of the population mean? That is, what is p (55 < X < 65)?
Answers
Answer:
im just here for the points sorry
Step-by-step explanation:
suppose the retail price of an automobile is $28,000 in 1998 and that it increase at 3% per year. a) write a equation exponential function y=a(1 +r) b) use the model to predict the retail of the automobile in 2016
Answers
Answer:
......................................
A bookshelf at a bookstore is 3 feet 9 inches wide. There are 18 copies of the same book on the shelf, which fit the shelf exactly. What is the width of 1 of the books?
Answers
Answer:
2.5 inches
Step-by-step explanation:
Given
Shelf Width = 3ft 9in
Copies = 18
Required
Determine the width of each book
This is calculated by dividing the shelf width by the number of copies.
Width = Shelf Width ÷ Copies
Width = (3 ft 9in) ÷ (18)
[Convert with to inches]
Width = (3 * 12 + 9) ÷ (18)
Width = (36 + 9) ÷ (18)
Width = 45 ÷ 18
Width = 2.5 inches
Hence, the width of each book is 2.5inches
Describe the similarities and differences between a bar graph and a histogram.
Answers
Answer:
Bar graphs are used with nominal or ordinal scores; histograms are used with interval or ratio scores.
Step-by-step explanation:
consider the Following equation.
[tex]4x + 3y = 7[/tex]
Determine the missing coordinate in the orderd pair (-4,?) so that it will satisfy the given equation.
Answer: (-4,______)
Answers
Answer:
23/3
Step-by-step explanation:
x=-4
plug x into equation
4(-4)+3y = 7
-16+3y = 7
3y=23
y=23/3
how do I write an equation in standard form with the points (3,3) (0,-3) (2,-3)
Answers
-3-3= -6 2-3=-1
-6/-1=6
Y=6x+b
3=6 x 3
3=18
Subtract both sides by 18
B=-15
Answer= y=6x-15
