Can anybody help plzz?? 65 points
Answer:
[tex]\frac{dy}{dx} =\frac{-8}{x^2} +2[/tex]
[tex]\frac{d^2y}{dx^2} =\frac{16}{x^3}[/tex]
Stationary Points: See below.
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesCalculus
Derivative Notation dy/dx
Derivative of a Constant equals 0.
Stationary Points are where the derivative is equal to 0.
1st Derivative Test - Tells us if the function f(x) has relative max or mins. Critical Numbers occur when f'(x) = 0 or f'(x) = undef2nd Derivative Test - Tells us the function f(x)'s concavity behavior. Possible Points of Inflection/Points of Inflection occur when f"(x) = 0 or f"(x) = undefBasic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Quotient Rule: [tex]\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]f(x)=\frac{8}{x} +2x[/tex]
Step 2: Find 1st Derivative (dy/dx)
Quotient Rule [Basic Power]: [tex]f'(x)=\frac{0(x)-1(8)}{x^2} +2x[/tex]Simplify: [tex]f'(x)=\frac{-8}{x^2} +2x[/tex]Basic Power Rule: [tex]f'(x)=\frac{-8}{x^2} +1 \cdot 2x^{1-1}[/tex]Simplify: [tex]f'(x)=\frac{-8}{x^2} +2[/tex]Step 3: 1st Derivative Test
Set 1st Derivative equal to 0: [tex]0=\frac{-8}{x^2} +2[/tex]Subtract 2 on both sides: [tex]-2=\frac{-8}{x^2}[/tex]Multiply x² on both sides: [tex]-2x^2=-8[/tex]Divide -2 on both sides: [tex]x^2=4[/tex]Square root both sides: [tex]x= \pm 2[/tex]Our Critical Points (stationary points for rel max/min) are -2 and 2.
Step 4: Find 2nd Derivative (d²y/dx²)
Define: [tex]f'(x)=\frac{-8}{x^2} +2[/tex]Quotient Rule [Basic Power]: [tex]f''(x)=\frac{0(x^2)-2x(-8)}{(x^2)^2} +2[/tex]Simplify: [tex]f''(x)=\frac{16}{x^3} +2[/tex]Basic Power Rule: [tex]f''(x)=\frac{16}{x^3}[/tex]Step 5: 2nd Derivative Test
Set 2nd Derivative equal to 0: [tex]0=\frac{16}{x^3}[/tex]Solve for x: [tex]x = 0[/tex]Our Possible Point of Inflection (stationary points for concavity) is 0.
Step 6: Find coordinates
Plug in the C.N and P.P.I into f(x) to find coordinate points.
x = -2
Substitute: [tex]f(-2)=\frac{8}{-2} +2(-2)[/tex]Divide/Multiply: [tex]f(-2)=-4-4[/tex]Subtract: [tex]f(-2)=-8[/tex]x = 2
Substitute: [tex]f(2)=\frac{8}{2} +2(2)[/tex]Divide/Multiply: [tex]f(2)=4 +4[/tex]Add: [tex]f(2)=8[/tex]x = 0
Substitute: [tex]f(0)=\frac{8}{0} +2(0)[/tex]Evaluate: [tex]f(0)=\text{unde} \text{fined}[/tex]Step 7: Identify Behavior
See Attachment.
Point (-2, -8) is a relative max because f'(x) changes signs from + to -.
Point (2, 8) is a relative min because f'(x) changes signs from - to +.
When x = 0, there is a concavity change because f"(x) changes signs from - to +.
is 0.5 or 17/34 greater
Answer:
They're equal; 17/34 as a decimal is 0.5
Step-by-step explanation:
Hope this helped, Have a Great Day!!
Answer:
17/34 is actually equal to 0.5. So since your comparing it to the decimal o.5 they are both equal to each other (:
Step-by-step explanation:
Thank you for your timeeee
On the set of axes below, triangle ABC is graphed. Triangles A'B'C'
and A"B"C", the images of triangle ABC, are graphed after a
sequence of rigid motions.
Answer:
Step-by-step explanation:
a reflection followed by a rotation
The sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. Graphs are used to map out functions of two variables on a Cartesian coordinate system, which is composed of a horizontal x-axis and a vertical y-axis.
For the given situation,
The graph shows the triangle ABC plotted in the fourth quadrant.
The triangle A'B'C' are graphed in the third quadrant as its reflection.
The triangle A''B''C'' are graphed in the second quadrant by reflecting the triangle A'B'C' and then rotating it.
Hence we can conclude that the sequence of rigid motions of the triangle is a reflection followed by a rotation, option (D) is the correct answer.
Learn more about graphs here
https://brainly.com/question/11232423
#SPJ2
john’s dog eats 4/5 tin of mince meat added in his meal every day . if dog eats 35 full tins of meat in one week(7 days) then how much does it eat every day.
Answer:
it eats five mince meat everyday
On weekdays it costs £6.50 per hour to hire a tennis court at Meadway
Tennis Club. On Saturdays the cost is 30% more. How much does it cost to
hire a court for 2 hours on a Saturday?
Answer: £16.90
Step-by-step explanation:
From the question, we are informed that it costs £6.50 per hour to hire a tennis court at Meadway Tennis Club but that on Saturdays the cost is 30% more. The cost in Saturdays per hour will then be:
= £6.50 + (30% × £6.50)
= £6.50 + ( 0.3 × £6.50)
= £6.50 + £1.95
= £8.45
The cost to hire a court for 2 hours on a Saturday will then be:
= £8.45 × 2
= £16.90
Convert 4/7 to 42nds
Answer:
24... I hoped dis helped.
if one apple cost 5 rupee orange cost 0.5 rupee and grape cost 0.25 rupee . find the number of apple orange ad grape we can buy from 20 rupee.
Answer:
3
Step-by-step explanation:
Add all the costs of the fruit.
5.75
Then divide it by 20.
= 3.4782.....
You can't have a quarter or half and apple so you round down.
Son answer is 3.
Hope this has helped!
PLS PLS PLS HELP THIS IS AN ALGEBRA 2 QUESTION
Answer:
look
Step-by-step explanation:
When she simplified her radical she put 5x*2x and 12 squared
what she should ahve done is 5x*4x^2 square 3x
The members of the Smithtown baseball team sell $5 raffle tickets and $20 raffle
tickets for a fundraiser. Emilio sells a total of 50 tickets and has collected $400.
The graph of the system of equations that represents this scenario is shown below.
Which of the following is the best interpretation of the solution to the system of
equations in context of the scenario?
A Emilio has sold 20 of the $20 raffle tickets and 50 of the $5 raffle tickets.
B Emilio has sold 50 of the $20 raffle tickets and 20 of the $5 raffle tickets.
C Emilio has sold 10 of the $5 raffle tickets and 40 of the $20 raffle tickets.
D Emilio has sold 40 of the $5 raffle tickets and 10 of the $20 raffle tickets.
Answer: d
Step-by-step explanation:
I dont understand this
Answer:
x=66
Step-by-step explanation:
180-114=66
Interior angles on the same side of transversal are supplementary (180°).
So,
x + 114° = 180°
=> x = 180° - 114°
=> x = 66°
The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. • x=0 • x= 19,800 • y= 0 • y= 19,800
Answer:
Step-by-step explanation:
Given the function y = 19800/x
Vertical asymptote occurs at when f(x) = 0 where;
f(x) is the denominator of the given function.
From the expression given: f(x) = x
Since f(x) => 0, hence x = 0
To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.
Since 0<1, hence the horizontal asymptote is 0
x = 0, y = 0
Answer:
x = 0
y = 0
second question is b
third question is b
and forth is c
Step-by-step explanation:
?/1 Movie Theater Admission Adult: $10 Children (under 13): $8 Matinee (before 6 P.M.): $5 Connor (age 13), his sister (age 7), and Connor's two parents go to a movie on Saturday night. Write an expression for the total cost. What is the total cost?
Answer 10$ + 8$+5$= answer that first.
Step-by-step explanation:
what is the slope of the line 5x +2y = -15
Answer:
-5/2
Step-by-step explanation:
5x +2y = -15
-5x -5x
2y = -5x - 15
y = -5/2x - 7.5
y = mx + b
Slope (m) = -5/2
down 5, right 2
ANSWER NEEDED ASAP!
Find the value of x. (Hint: The sum of the angles in
a triangle is 180 degrees.)
The value of x is degrees.
Answer:
look below
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
Find the perimeter of each figure.
Answer:
28 for both of them
Step-by-step explanation:
1 is 28cm and 2 is 28cm
Step-by-step explanation:
since you know 2 of the sides you know the length of half of it since they are squares so if you att the 2 sides you know then multiply it by 2 you get the perimeter of that shape
Line b passes through (3, 4) and (0, 2).
is it parallel?
Answer:
no perpendicular
Step-by-step explanation:
Julie started with 20 prices of gum
Answer:
The answer is C) 15
Step-by-step explanation:
If you replace each answer choice with the varibale, (x) then 15 would be the only choice that fits properly.
Equation: 20-x = 35-(2x)
when replacing 15 with x this is your new equation...
20-15 = 35-(2x15)
5 = 35-30
5=5
hope this helped :)
brainliest?
Write the equation of the line that has a slope of -3 and a y-intercept of 2 in slope-intercept form.
Answer:
Step-by-step explanation:
Well, the linear equation of a line is:
y=mx+b
Where
m
is the slope and
b
is your y-intercept
So, you can just plug the numbers into the equation
m = − 3
and
b = − 2
y = − 3x-2
15+10f=-12 does someone knows this one?
Answer:
f = - 2.7
Step-by-step explanation:
15 + 10f = -12
10f = -12 - 15
f = -27/10
f = - 2.7
At an online fruit dealer, it costs $39 for 75 cases of bananas. What is the unit price?
Answer:
$0.52 cents per banana. $39 divided by the 75 bananas
Step-by-step explanation:
Answer:
$0.52
Step-by-step explanation:
When finding the unit price, we use divide the certain number of units of an item by the number of units
So for this question we will divide 39/75 to get a result of $0.52
Can you guys check these :) I’ll give brainleist :)
Answer:
9. No
10. Yes
Step-by-step explanation:
The first one is not, since you have (3, 3) and (3, 9). In a function, each x maps to a single y.
The second one is since every x appears only once.
58:27
The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:
$0.50, $0.65, $0.80, $0.95, $1.10, ...
Which equation represents Marisa’s library fine as a function of a book that is n days overdue?
f(n) = 0.15n
f(n) = 0.50n
f(n) = 0.15n + 0.35
f(n) = 0.50n + 0.15
Answer:
a
Step-by-step explanation:
What is 40% of 60????
Answer: 40% of 60 = 24
A photograph of sides 35cm by 22cm is mounted onto a
frame of external dimension 45cm by 30cm. Find the area
of the border surrounding the photograph.
===================================================
Work Shown:
A = area of smaller rectangle
A = length*width
A = 35*22
A = 770
B = area of larger rectangle
B = length*width
B = 45*30
B = 1350
C = area of the border only
C = B - A
C = 1350-770
C = 580 square cm
Step-by-step explanation:
Dimension of photograph is 35cm and 22cm.
And external dimension of photo frame is 45cm and 30cm
So, the area of the border surrounding the photograph=Area of photo frame−Area of photo.
So, The area of the border surrounding the photograph=45×30−35×22
=1350−770=580cm
2
A driver receives -25 points for a rule violation. What integer represents the change in points after four rule violations?
Answer:
It would be -100
MATH MATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATHMATH
Amanda is making white oatmeal cookies with raisins and pecans for her club.The recipe makes seventeen of the big,chewy kind of oatmeal cookies with lots of raisins and nuts.It takes one-fourth of a cup of nuts and one-half of a cup of raisins just for the seventeen cookies!There are thirty-four members in Amanda's club .If she makes exactly thirty-four cookies,how many cups of nuts will she need ?
Answer:
1/2 cup of nuts
Step-by-step explanation:
If it takes 1/4 cups of nuts to make 17 cookies
Then it takes 1/4 * 1/17 = 1/68 cups of nut to make 1 cookie
So,
If 1/68 cups of nut are needed to make 1 cookie
To make 34 cookies we need;
34 * 1/68 = 1/2 cup of nuts
Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation?
Answer: 26-5
Step-by-step explanation:
literally you take 5 aways from 26
1+2=? may be 3
plz help me
Answer:
I'm pretty sure it is 3
Step-by-step explanation:
Not too sure though
Draw a street diagram based on the given information
1) Fox Boulevard and
Harty Way are parallel
2) Barbosa Avenue
intersects Harty Way
and Fox Boulevard
I
3) Hankins Salon and
Chase bank are same
side interior angles
4) Buckley Park and Town
Hall are alternate
exterior angles
5) Popeye's and
McDonalds are on
corners that are
supplementary
Answer:
See attachment.
Step-by-step explanation:
The name of the streets and places are abbreviated as follows:
✍️The Streets:
Fox Boulevard = FB
Harty Way = HW
Barbosa Avenue = BA
✍️Places:
Hankins Salon = HS
Chase bank = CB
Buckley Park = BP
Town Hall = TH
Popeye's = PP
McDonalds = MD
Based on the information given, a diagram of the streets have been drawn and attached below.