PLEASE HELP NO ONE WILL HELP ME! I NEED PROS! TYSM! For f(x) = 3 x 5 − 5 x 3 + 3 . Determine the interval(s) on which f(x) is concave up and on which f(x) is concave down AND indicate where f(x) has inflection point(s). (If there are none, please tell me). Also, indicate where f(x) has local maximum and local minimum points. Also, can you please help me determine the interval(s) on which f(x) is increasing and on which f(x) is decreasing.

Answers

Answer 1

[tex]\bf f(x)=3x^5-5x^3+3 \\\\\\ \cfrac{dy}{dx}=15x^4-15x^2\qquad \textit{critical points}\implies 0=15x^4-15x^2 \\\\\\ 0=x^4-x^2\implies 0=x^2(x^2-1)\implies x= \begin{cases} 0\\ -1\\ +1 \end{cases} \\\\\\ \cfrac{dy^2}{dx^2}= 60x^3-30x\qquad \textit{inflection points}\implies 0=60x^3-30x \\\\\\ 0=2x^3-x\implies 0=x(2x^2-1)\quad \begin{cases} 0=x\\ ----------\\ 0=2x^2-1\\ 1=2x^2\\ \frac{1}{2}=x^2\\ \pm\sqrt{\frac{1}{2}}=x\\\\ \pm\frac{\sqrt{2}}{2}=x \end{cases}[/tex]

now, if you do a first-derivative test on those critical points, check the regions next to them, for example I checked x = 0.5 and x = -0.5, and both gave -2.8125, the value doesn't matter for the test, what matters is the sign, is negative, meaning on that region, the graph has a negative slope and thus is going downwards.

and then I checked x = 2 and x = -2, and both gave 180, which is positive, meaning the original graph is going up there, slope is increasing once you go passed the 1 or -1.

now, checking the inflection points when doing the second-derivative test, x = -1 gives -30, negative, concave down
x = -0.5 gives 7.5, positive, concave up
x = 0.5 gives -7.5, negative, concave down
x = 1 gives 30, positive, concave up

check the picture below, the arrows show the direction the slope going, and therefore how the original function is moving.

notice, before -1 is going up, reaches -1, then it goes down, meaning that's a peak, or maximum.

before 1 is going down, reaches 1 it dives, then goes back up, that's a minimum.

PLEASE HELP NO ONE WILL HELP ME! I NEED PROS! TYSM! For F(x) = 3 X 5 5 X 3 + 3 . Determine The Interval(s)

Related Questions

Listed below are four different cases in which a comparison of means was conducted. match the case to the appropriate set of equations needed to compare the means.

Answers

Impossible to answer without diagram, please repost with diagram so we can help.

Final answer:

The cases can be categorized by comparing the means as follows: 'B. Two proportions' apply to situations like income bracket and voter likelihood comparison, 'C. Matched pairs, dependent groups' apply to dependent groups like a math test given to third graders, 'D. exclusive groups' represent separate unaffected and experimental groups, and 'A. Two independent means, normal distribution' refers to situations where two separate groups are compared.

Explanation:

From the details given, we can classify the cases by comparing the means as follows:

B. Two proportions: This would apply to the question of politicians comparing the proportion of individuals from different income brackets who might vote for them. It implies two independent groups and hence a comparison of two population proportions. C. Matched pairs, dependent groups: This could describe a scenario like a math exam given to the third-grade children attending ABC school. Two random samples of scores were taken. This represents a dependent groups design in which two means are compared, for instance before and after a treatment. D. exclusive groups: These likely represent two independent means involving separate unaffected (control) groups and experimental groups. An example of this is studies that compare various diet and exercise programs. A. Two independent means, normal distribution: This refers to a situation where two separate groups are compared, such as studies involving independent samples where the sample values selected from one population are not related in any way to the sample values selected from the other population.

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convert 0.045 to a fraction

Answers

The correct answer would be 45/1000

Hope this helps!!:)

It will be converted to be 45/1000 because the last number is in the THOUSANDTH place

if x -6 is one factor of x^2 - 10x +24, which is the other factor?

Answers

To get the other factor of the expression x² - 10x + 24, we can use long or synthetic division. We are given that the other factor is x - 6, so we can use that as our divisor. Our setup should look something like this:
x² - 10x + 24 ÷ x - 6
Here is the work using polynomial long division:
x -4
x - 6 | x² - 10x + 24
x² - 6x
0 - 4x + 24
-4x - 24
0
We can see that our quotient is x - 4, which would be the other factor of x - 6 to get x² - 10x + 24. The answer to your query is x - 4. Hope this helps and have a phenomenal day!

Find the critical numbers of the function. (Enter your answers as a comma-separated list.)
f(θ) = 8sec θ + 4tan θ, 0 < θ < 2π

Answers

Critical numbers of the functionF(o) = 8 sec θ + 4 tan θ, 0 < θ <2 π.F(o) = 0 for critical numbersF(o) = 8 sec θ tan θ + 4 sec^2 θ = 0 = 4 sec θ [2 tan θ + 4 sec θ] = 0Sec θ = 0 or 2 tan θ + sec θ = 0Sec θ = 0 is no solution.2 tan θ + sec θ = 0 => (2 sin θ / cos θ) + (1 / cos θ) = 0  (2 sin θ + 1 / cos θ) = 0 => 2 sin θ + 1 = 0 Sin θ = -1/2 Θ = 7π/6 , 11π/6  Therefore, critical number are 7π/6 , 11π/6

Final answer:

The critical numbers of the function f(θ) = 8sec(θ) + 4tan(θ) are where the derivative is undefined, specifically at θ = π/2 and θ = 3π/2.

Explanation:

To find the critical numbers of the function f(θ) = 8sec(θ) + 4tan(θ), we need to take its derivative and set it equal to zero or find where the derivative does not exist. First, we compute the derivative of the function. Recall that the derivative of sec(θ) is sec(θ)tan(θ) and the derivative of tan(θ) is sec2(θ).

Thus, the derivative f'(θ) is 8sec(θ)tan(θ) + 4sec2(θ). We look for where this derivative is undefined or equal to zero. The derivative is undefined when sec(θ) is undefined, which occurs at θ = π/2 and θ = 3π/2. To find where the derivative is zero, we can factor out 4sec(θ):

4sec(θ)(2tan(θ) + sec(θ)) = 0

The second factor will never be zero because sec(θ) and tan(θ) will not be zero for the same θ in the interval given. Therefore, the critical numbers are where the derivative is undefined, which is θ = π/2 and θ = 3π/2.

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28 is 32% of what number?

Answers

divide:

28 / 0.32 = 87.5

28 is 32% of 87.5:
Set up a proportion: 28/x = 32/100
Now, the 28 over x signifies the part of the whole, as 28 is NOT the whole number; it is 32% of a number (x)

Find 3/7⋅9/10 . Write your answer as a fraction in simplest form.

Answers

To do this multiply the numerators together (the tops together) and the denominators together (the bottoms together)

[tex] \frac{3}{7} * \frac{9}{10} [/tex]

= [tex] \frac{27}{70}[/tex]

27/70 is your answer in simplest form because you can't take the same thing out of the top or bottom anymore.

I hope this helps!

The value of the multiplication of the fractions will be equal to 27 / 70.

What is multiplication?

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the fractions are 3/7 and 9/10. The multiplication of the number will be calculated as,

M = 3 / 7 x 9 / 10

M = 27 / 70

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Solve the equation.

-3(y - 5) = 24

y = ______?

Answers

[tex]-3(y-5)=24\\\\\frac{-3(y-5)}{-3}=\frac{24}{-3}\\\\(y-5)=-8\\\\y-5+5=-8+5\\\\\\y=-3[/tex]

The value of Equation is y = -3.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have Equation,

-3(y-5) = 24

Now, solving for y

Divide both side by (-3) we get

-3(y-5) / (-30= 24/ (-3)

y-5 = -8

Add 5 to both side

y- 5 +5 = -8 + 5

y = -3

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Which equation correctly applies the distributive property?

A. 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)
B. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
C. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67
D. (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)

Answers

distributive property
B. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)

Answer:

Step-by-step explanation:

Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____..

Answers

About $12.30

($12.27)

81.79 is approximately 80.
10% of 80 is 8
20% of 80 is 16
15% is right in between 10% and 20%, so the tip should be $12 which right in between $8 and $16.

Write a number sentence to show the distributive property. 7x6=

Answers

7×6
3+3= 7 (3+3)
7×3+7×3
21 +21=42

Answer:

According to the distributive property of multiplication,

a . (b + c ) = (a . b) + (a . c)

Given: 7 × 6

which can be rewritten as: a) 7 . (4 + 2), b) 7 . (3 + 3), c) 7 . (1 + 5)

Rewriting the given expression using the distributive property of multiplication:

a) 7 . (4 + 2) = (7 . 4) + (7 . 2)

7 . (6) = 28 + 14

42 = 42

b) 7 . (3 + 3) = (7 . 3) + (7 . 3)

7 . (6) = 21 + 21

42 = 42

c) 7 . (1 + 5) = (7 . 1) + (7 . 5)

7 . (6) = 7 + 35

42 = 42

As the left hand side is equal to the right hand side in each case, therefore, it proves the distributive property.

Photography World has a portrait special. A three-pose portrait package has a sitting fee of $35, and a six-pose package has a sitting fee of $60. On a Saturday, $690 was collected in sitting fees. Which equation can be used to represent x, the number of three-pose portrait packages and y, the number of six-pose portrait packages?

Answers

We know that a three-pose portrait package has a sitting fee of $35 and a six-pose package has a sitting fee of $60. The total amount they collect is $690.

[tex]\text{Therefore, the equation can be}[/tex] [tex]35x + 60y = 690[/tex]

The equation that can be used to represent the number of three-pose and six-pose portrait packages is: 35x + 60y = 690

What are word problems?

Word problems in mathematics are methods and approaches applied in solving real-life scenarios. Data can be modeled from the certain information given.

From the parameters given, Let us assume that:

x represents a three-pose portrait package that has a sitting fee of $35y represents a six-pose package that has a sitting fee of $60

Now, on Saturday a total amount of 690 was collected. This data can be modeled as:

35x + 60y = 690

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Yolanda's club has 50 members. It's rules require that 60% of them must be present for any vote. At least how many members must be present to vote?

Answers

If you do 60% then you put the percent two times over the the left so 0.60 then you would do 0.60 times 50 so that would be 30. 30 of the members must vote. Hopefully that helped?

In isosceles ∆ABC the segment BD (with D ∈ AC ) is the median to the base AC . Find BD, if the perimeter of ∆ABC is 50m, and the perimeter of ∆ABD is 40m.

Answers

Given:

(Isosceles Trianlge) ----∆ABC Perimeter = 50 meters
(Right Triangle) ---------∆ABD Perimeter = 40 meters
Segment BD bisects segment AC into two equal lenghts

Required: BD

Solution:

We know that isosceles triangle has two equal legs and a base. Therefore,
For ∆ABC,
AB & BC are the two equal legs.
AC is the base.

For right triangle ∆ABD,
AB is the hypotenuse
AD is the base leg
BD is the other leg

Let us represent segments AB & BC as a
segment AC as b
segment BD as h
segment AD as b/2

In equation we have,
∆ABC Perimeter = a + a + b
50 = 2a + b eq. (1)

∆ABD Perimeter = a + b/2 + h
40 = a + b/2 + h eq. (2)

Dividing eq. (1) by 2, we get
25 = a + b/2 eq. (3)

Substitute eq. (3) in eq. (2),
40 = (25) + h
h = 15 meters

ANSWER: BD = 15 meters

The length of the height triangle ABC is BD i.e., [tex]15\;units[/tex].

According to the question, In isosceles [tex]∆ABC[/tex] the segment BD is the median to the base AC . Also, the perimeter of ∆ABC is 50m, and the perimeter of the triangle [tex]ABD[/tex] is 40m.

Let the length of the equal sides of the isosceles triangle be [tex]x \;meters[/tex] and the length of the base of the isosceles triangle is [tex]2y\;meters[/tex].

[tex]Perimeter_{ABC}=x+x+2y\\2x+2y=50\\x+y=25\\x=25-y----(i)[/tex]

Also,

[tex]Perimeter_{ABD}=x+y+BD\\x+y+\sqrt{x^2-y^2}=40\\x+y+\sqrt{(25-y)^2-y^2}=40\\25+\sqrt{625-50y}=40\\\sqrt{625-50y}=15\\625-50y=225\\y=8\;units[/tex]

So,

[tex]x=25-8\\x=17\;units[/tex]

Now,

[tex]BD=40-x-y\\BD=40-17-8\\BD=15\;units[/tex]

Hence, the length of the height triangle ABC is BD i.e., [tex]15\;units[/tex].

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six people share 3/5 pound of peanuts equally. What fraction of a pound of peanuts does each person recieve?

Answers

Each person would receive 1/10 because you would divide 3 divided by 5 which equals= .6 and then .6/6= 1/10

The librarian, Ms. Barrett, wants to buy new books for the school library. She posts a sign in the library to raise money, and 75 students donate $0.50 each for the book drive. If she splits the money donated evenly between two genres (fiction and non-fiction), how much money does she have to spend on each genre? A) $18.75 B) $187.50 C) $28.50 D) $37.50

Answers

she has $37.50 for both genre, multiply 75 by .50 you get 37.5, then divide by 2, THE ANSWER IS A $18.75

Answer:

Step-by-step explanation:

Suppose that in a particular sample, the mean is 70.07 and the standard deviation is 10.27. what is the z score that corresponds to a raw score of 80?

Answers

To find the z score, we need to use the following formula: (raw score - Mean)/ standard deviation. We know that the raw score is 80, the standard deviation is 10.27, and the mean is 70.27, so plugging in those values gives us: (80 - 70.27)/10.27 = 0.9474

Question 26(multiple choice worth 1 points) (02.02) simplify . −4 4

Answers

cant help you sorry bro this is sad because I usually can help but sorry

What is five times two

Answers

five times two is equal to 10

10 is the answer. 5 * 2 = is 10 !!!!

Whats the unit rate of $3.60

Answers

the unit rate would be for every 1 ounce it would be 30¢

write an expression that represents the product the of q and 5 divided by 2

Answers

The expression will be (5q)/2

The point (2, -3) lies in quadrant I II III IV

Answers

The point (2, -3) lies in the IV quadrant since its x value is positive, but its y value is negative.

*If possible, please give me brainliest*

It lies in the IV quadrant ....
1st quadrant (+ , +)
2nd ( - , + )
3rd ( - , - )
4th ( + , -)
....
just think u are in the centre and if u go right thats + and if u go up that is also + ... if u go downward and left thats - ....
We go first in x-axis so
For the 1st quadrant to obtain u should go right and up from centre so (+ , + )
And for 4th quadrant u should go right ( 1st x-axis) and then down so (+ and -)

Twice the sum of a number and 3 is the same as 5 subtracted from the number. find the number.

Answers

Translating this sentence into symbols: 2(x+3) = x - 5

So 2x + 6 = x - 5 and x = -11

Check: Is 2(-11+3) = -11 -5? Is -16 = -16? YES. x =-11 is right.

Twice the sum of a number and 3 is the same as 5 subtracted from the number. Then the number will be -11.

Sum refers to the addition of terms, while subtraction means removal.

Let the number be x

Following the given information:

sum of a number and 3 = x+3

Expression 1

Twice the sum of a number and 3 =2(x+3)

Expression 2

5 subtracted from the number=x-5

On equating both the expressions as follows:

2(x+3)=x-5

Solving the equation to get the value of x:

2x+6=x-5

2x-x=-5-6

x=-11

Thus, the number is -11.

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ax+3x=bx+5 what is the answer for x

Answers

Hi. I am attaching a step by step explanation, if you have any questions, please don't hesitate to ask.

Take care,
Diana

Given quadrilateral XYWZ determine whether WX and YZ are parallel, perpendicular, or niether. W(0,-3), X(-1,5), Y(2,5), Z(-1,2)

Answers

The slope of both sides is needed in order to determine whether they are parallel, perpendicular or neither.

The slope of a line connecting two points is just the change in y over change in x.

WX
m = (-3 - 5)/(0 - -1)
m = -8/1
m = -8

YZ
m = (5 - 2)/(2- -1)
m = 3/3
m = 1

The sides are neither parallel or perpendicular.

4 1/2 + 8 3/4

A. 12 2/3
B. 12 1/3
C. 13 1/4
D. 13 2/3

Answers

4 1/2 + 8 3/4

4+8 = 12

1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4

12 + 1 1/4 = 13 1/4

Answer is C

Dakota runs a half-marathon every 6 weeks, and Madison runs a half-marathon every 15 weeks. If they start now, in how many weeks will they again be running a half marathon at the same time?

Answers

30 weeks. You continue to find the factors of each number and find one that’s the same.

6, 12, 18, 24, 30
15, 30

Both lines have the 30 in common. So it’ll take 30 weeks until they run a half- marathon together

Answer:

30 weeks

Step-by-step explanation:

Given : Dakota runs a half-marathon every 6 weeks,

Madison runs a half-marathon every 15 weeks

To Find : . If they start now, in how many weeks will they again be running a half marathon at the same time?

Solution :

Since Dakota runs a half-marathon every 6 weeks, Madison runs a half-marathon every 15 weeks

So, to calculate If they start now, in how many weeks will they again be running a half marathon at the same time

We will take the LCM (lowest common factor) of 6 and 15

3 | 6,15

2 | 2,5

5 | 1,5

| 1,1

LCM = 3*2*5 =30

The LCM of 6 and 15 is 30

So, If they start now, in 30 weeks they will again be running a half marathon at the same time

Convert 95 pints to gallons. Round to one decimal point. Please show your work

Answers

There is 8 pint in 1 gallon, therefore:

95/8 = x gallon

95/8 = 11.875
x = 11.875

There is ~11.875 gallons

hope this helps

You divide pints by 8 to get gallons

Therefore,

95/8 = 11.875

A vector a has a magnitude of 60m and directed as shown. find the x and y components of this vector

Answers

Final answer:

To find the x and y components of a vector, use the cosine and sine functions, respectively, with the given angle. For a vector of 60m at 38°, the components are approximately 47.28m (x) and 36.96m (y).

Explanation:

To find the x and y components of a vector given its magnitude and a direction, you can use trigonometric functions. Assuming the vector Δr is the one you're referring to, with a magnitude of 60m and an angle of 38° (from the x-axis, presumed direction), you can apply the cosine function for the x-component and the sine function for the y-component of the vector.

For the x-component: x = magnitude × cos(angle) = 60m × cos(38°) = 60m × 0.788 = 47.28m

For the y-component: y = magnitude × sin(angle) = 60m × sin(38°) = 60m × 0.616 = 36.96m

Therefore, the x and y components of the vector are approximately 47.28m and 36.96m, respectively.

There are 691 students at Palmer Elementary School and 1,293 students at Palmer Middle School. About how many students are there in all at both school?

Answers

you would have to add 1,293 and 691 to get the total which would be 1,984.

Final answer:

There are 1,984 students in total at Palmer Elementary School and Palmer Middle School combined, showing an example of increasing school enrollments. This is calculated by simply adding the number of students from both schools.

Explanation:

Calculating the Total Number of Students

To find out how many students are in all at both Palmer Elementary School and Palmer Middle School, we add the number of students at each school together. Palmer Elementary School has 691 students, and Palmer Middle School has 1,293 students.

To determine the total, we perform the following addition:

691 (Palmer Elementary School students)+ 1,293 (Palmer Middle School students)= 1,984 students in total

Therefore, there are approximately 1,984 students in total at both schools combined. This calculation helps us understand the scale of student populations within a small section of the education system, reflecting broader national trends where school enrollments are increasing.

5/8 divided by 5 3/4

Answers

5/46 5/8 divided by 5 3/4 is 5/46
hope this helps!!

Hello!
So your question is asking what 5/8 / 5 3/4 is.
The first step in this equation is to simplify 5 3/4 so that it is no longer a mixed fraction.
5 3/4 = 23/4
Now, you have 5/8 / 23/4
Your next step is to use cross multiplication. In this case, you would take the numerator of 5/8 (5) and multiply it by the denominator of 23/4 (4).
Now, you multiply.
5 x 4 = 20.
This means that the numerator of your answer is 20. {20/x}
Then, you need to reverse the progress. This means you multiply the denominator of 5/8 (8) by the numerator of 23/4 (23).
Multiply.
8 x 23 = 184.
Your new fraction is 20/184.
We can simplify this by finding the common dividend.
The common dividend is 4.
20/4 is 5.
184/4 is 46.

This means your answer is 5/46.

Hope this helped!
Regards,
KayEmQue

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