The rule of the derivative of a function f is given. Find the location of all points of inflection of the function f. f'(x)=(x² - 9)(x-4) A. 1.33 B. 3,4 -3 C. -0.85 3.52 D.-3.4

Answer:

2

Step-by-step explanation:

4(f+2)=16

4f+8=16

4f=8

f=8/4

f=2

Check the picture below.

Step-by-step explanation:

I'm going to explain this in standard slope intercept form (y=mx+b) because it is easiest for this situation. I will also include converting it to point slope form. I will also show how to do straight into point slope form if you find that more helpful.

First thing is to identify difference in x and y in both points. From point 1 to point to, the x changes -4 and the y changes +4. We can rapresent this in rise over run fraction

\( \frac{4}{ - 4} = - 1\)

So the slope is -1 because the slope is the simplified rise over run fraction.

Our next step is to find the y-intercept. This is easy because the first point is the y-intercept, so -3 is our y-intercept.

Now we know the equation.

\(y = - x - 3\)

All we have to do now is convert it into point-slope form. So here is point slope form: y + y1 = m(x + x1). Y1 is the y-intercept and m is the slope.

\(y - 3 = - 1(x + x1)\)

So x1 is the x intercept, so to find this you find the x value when y is 0. You can do this by using the standard form I've done because it is easiest.

\(0 = - x - 3 \\ x = - 3\)

So when y is 0, then x is -3. Here is the complete point slope form of the line.

\(y - 3 = - 1(x - 3)\)

-----------------------------------------------------

To put the line directly into point slope for you need to find the slope, y-intercept, and x-intercept and place the values in accordingly. If you aren't given the y-intercept and x-intercept straight away it can be difficult for some putting it directly in point slope form. That is why I recommend putting it into standard form then point-slope form.

Answer:

y=-1x-3

Step-by-step explanation:

First, you have to find the slope using the formula I attached. Using this formula, you will subtract the second y from the first y, which is 1-(-3) for this problem. That equals 4, so that will be the numerator of the slope. Next, you have to subtract the second x from the first x, which is -4-0 for this problem. That equals -4, so that will be the denominator for this slope. the fraction now is \(\frac{4}{-4}\), which is -1. The slope is -1. The current equation looks like this: y=-1x+b. Now we can solve for b, or the y-intercept. To do this, you have to use the x and y of one of the coordinates, it doesn't matter which one, the answer will be the same. Use the first one, for example. The x is 0 and the y is -3, so the our equation to find b is -3=-1(0)+b, which is -3=0+b, which is -3=b, or b=-3. So now we know what b is. Now we have to two components we need to write the equation, the slope (-1) and the y-intercept (-3). Now we can write the equation. y=-1x+(-3), or y=-1x-3.

Using the formula of the combination and for the values of 'p' and 'q'. The statement is false.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

The formula is:

\(C(p,q) = \frac{p!}{q!(p-q)!}\)

p=4 and put q=0 to 4

C(4,2) > C(4,0),C(4,1),C(4,3),C(4,4)

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Combinations and sequences are widely used in mathematics to explain and assess situations in which the order or selection of components might influence the final result.

A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant. A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant. You can choose the components in any order in combinations. A combination is a method of picking elements from a collection when the order of selection is irrelevant. Assume we have three integers P, Q, and R. Combination defines how many possibilities we may choose two numbers from each set.

Here,

A combination is a grouping of things from a bigger set in which the order of the components is irrelevant. A sequence is a collection of elements that are ordered in a precise order. Combinations and sequences are frequently used in mathematics to describe and evaluate situations where the order or selection of components might impact the final outcome, such as in combinatorics, probability, and statistics.

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Complete question:

A combination of values that, when arranged correctly, result in a final value. true/false

The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26

Linear equations are equations that have constant average rates of change, slope or gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6 * (2/3x + 5/2y = 15)

This gives

4x + 15y = 90

Subtract the equation 4x + 15y = 90 from 4x + 15y = 12

4x - 4x + 15y - 15y = 12 - 90

Evaluate the difference

0 + 0 = -78

Evaluate the sum

0 = -78

The above equation is the same equation as option (b) 0 = 26

This is so because they both represent that the system of equations have no solution

Hence, the equation that could represent a linear combination of the system is 0 = 26

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Complete question

The system of equations below has no solution.

2/3x + 5/2y = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

Answer:

a) 3,467 gallons of water

b) 17,335 ml of insecticide = 12 bottles

c) $ 42,000

Step-by-step explanation:

1 gal. Water = 3785.412 ml

1 hectare = 10,000 m^2

2.6 hectare = 2.5 x 10.000 m^2 = 26,000 m^2

(a) 4 gal. water cover 30m^2

X gal water cover 26,000 m^2

(4 x 26,000)/30 = 3,467 gal of water

(b) 5 ml per 1 gal of water

X ml per 3,467 gal of water

(5 x 3,467) = 17,335 ml of insecticide

Bottle of insecticide = 1,500 ml of insecticide in each bottle.

17,335/1,500 = 12 bottles of insecticide

(c) 12 x $3,500 = $ 42,000

The trigonometric relations from the triangles are

a) tan A = 5/12

b) sin C = 3/5

c) cos X = 3/5

d) sin Z = 4/5

e) tan Z = 4/3

f) tan X = 12/5

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

a)

The triangle is ΔABC

tan A = opposite side / adjacent side

Substituting the values in the equation , we get

tan A = 10/24

tan A = 5/12

b)

The triangle is ΔABC

sin C = opposite side / hypotenuse

Substituting the values in the equation , we get

sin C = 24/40

sin C = 3/5

c)

The triangle is ΔXYZ

cos X = adjacent side / hypotenuse

Substituting the values in the equation , we get

cos X =21/35

cos X = 3/5

d)

The triangle is ΔXYZ

sin Z = opposite side / hypotenuse

Substituting the values in the equation , we get

sin Z = 32/40

sin Z = 4/5

e)

The triangle is ΔXYZ

tan Z = opposite side / adjacent side

Substituting the values in the equation , we get

tan Z = 28/21

tan Z = 4/3

f)

The triangle is ΔXYZ

tan X = opposite side / adjacent side

Substituting the values in the equation , we get

tan X = 12/5

Hence , the trigonometric relations are solved from the triangles

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Answer: The first three odd prime numbers are 3, 5, and 7. A number is a multiple of two but not three of these prime numbers if it is divisible by two of them, but not the third.

To find the number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers, we can count the number of multiples of each pair of prime numbers and subtract the number of multiples of all three prime numbers.

There are 200 multiples of 3 and 5 between 1000 and 2000 (200 numbers for each, for a total of 200 * 2 = 400). There are 133 multiples of 3 and 7 between 1000 and 2000 (133 numbers for each, for a total of 133 * 2 = 266). There are 80 multiples of 5 and 7 between 1000 and 2000 (80 numbers for each, for a total of 80 * 2 = 160). There are no multiples of all three prime numbers between 1000 and 2000.

Thus, the total number of numbers between 1000 and 2000 that are multiples of two but not three of the first three odd prime numbers is 400 + 266 + 160 = 826.

Step-by-step explanation:

Answer:

Please see the attached pictures.

A bar chart is a graph that shows the differences in frequencies or percentages among categories of a nominal or an ordinal variable.

A bar chart is a commonly used graphical representation to display the distribution of data in different categories. It is particularly useful when working with nominal or ordinal variables, where the categories are distinct and unordered or have a specific order.

In a bar chart, each category is represented by a rectangular bar whose length corresponds to the frequency or percentage associated with that category. The height of the bar represents the magnitude or count of the variable in each category, allowing for easy visual comparison between the categories.

The bars in a bar chart can be arranged horizontally or vertically, depending on the preference or nature of the data. The chart may also include labels or annotations to indicate the category names or additional information.

By examining the lengths or heights of the bars in a bar chart, it becomes easy to identify the categories with the highest or lowest frequencies or percentages, as well as to compare the relative magnitudes among the different categories. This graphical representation aids in visualizing and interpreting the distribution of a nominal or an ordinal variable effectively.

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Answer:

Triangle: 9 inches

Hexagon: 4.5 inches

Step-by-step explanation:

So an equilateral triangle has three sides, so the perimeter can be expressed as 3(1.4x+2).

A hexagon has 6 sides so the perimeter can be expressed as 6(0.5x+2)

Now, we know that the perimeters equal the same, so using algebra we can solve for x through the equation 3(1.4x+2)= 6(0.5x+2).

thus x equals 5.

Then all you have to do is substitute 5 in for each side length.

Triangle: 9 inches

Hexagon: 4.5 inches

We know this is correct because:

9 times 3 = 27

and 4.5 times 6 = 27

Hope this helps!!

Here we have a program written in C++ language. Each // symbol is a relative comment explaining the reason for each command line (and is not included during the program execution).

The Program:

#include <iostream>

//c++ build in library

using namespace std;

//main code body starts here

int main()

{

 //declare variable to store phone numbers,its area code, prefix and line    number.

long pnumber;   //declare long variable

int ac, prefix, lnumber;

 //declare integer variables, where ac: Area Code and lnumber is the Line Number

cout<<"Enter a 10-digit Phone Number: "<<endl;

 //cout command prints on screen the desired message

 cin>>pnumber;

 //cin command enables the user to interact with the programm and enter information manually

//main body to obtain the desired output starts below

 //each 'division' is used to allocate the correct value at the correct

 //since prefix is used to get the desired output of ( )    -

 ac = pnumber/10000000;

 prefix = (pnumber/10000)%1000;

 lnumber = pnumber%10000;

 //main body ends here

 cout<<"Based on your 10-digit number"<<endl;

 cout<<"below you have (AreaCode), Prefix, and - line number "<<endl;

 cout<<"("<<ac<<")"<<""<<prefix<<"-"<<lnumber<<endl;

 //Prints on screen the desired output of the long 10 digit Number

 return 0; //ends program

}

-------------------------------------------------------------------------------------------------------

The Output Sample:

Enter a 10-digit Phone Number:

8019004673

Based on your 10-digit number

below you have (Area Code), Prefix, and - line number

(801) 900-4673

....Programm finished with exit code 0

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Answer:

(2/3,2)

Step-by-step explanation:

3*2/3+4

simplify  2=2

Answer:

x=1 I think this is the answer

Step-by-step explanation:

\(8x - 6x = 6 - 4\)

\(2x = 2\)

\(x = 1\)

Answer:Subtract  

4 4 4

from both sides of the equation

8 + 4 − 4 = 6 + 6 − 4

8 + 4 = 6 + 6

Simplify

Subtract  

6 6x 6x

from both sides of the equation

Simplify

Divide both sides of the equation by the same term  

Simplify

Solution

= 1

Step-by-step explanation:

Your answer would be   = 1

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

Answer:

we need the image

Step-by-step explanation:

Answer: 1. 10^3

One thousand

2. 10^5

One Hundred Thousand.

3.10000  4.2000  5. 60000

6. 7

70

700

7000

70000

7.12

120

1200

12000

120000

8.  9 × 1

9 × 10

9 × 100

9 × 1000

9 × 10000

9. value= 20

Step-by-step explanation:

Answer:

12:30

Step-by-step explanation:

If the value be 5/6 then the equation be \($x \times \frac{2}{3}=\frac{5}{9}$$\).

A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.

A fraction is a piece of a whole number and a means to divide a number into pieces that are each equal. The numerator, also known as the number of equal parts being counted, is expressed as being greater than the denominator, also known as the number of parts in the entire.

Let the value be 5/6 then

simplifying the equation as

\($x \times \frac{2}{3}=\frac{5}{9}$$\)

Multiply both sides by 3

\($3 x \frac{2}{3}=\frac{5 \cdot 3}{9}$$\)

Simplifying the above equation, we get

2x = 5/3

Divide both sides by 2, we get

\($\frac{2 x}{2}=\frac{\frac{5}{3}}{2}$$\)

x = 5/6

Therefore, the correct answer is option a.

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Answer:

29+11i

Step-by-step explanation:

(7−5i)(2+3i)

Expand

(7−5i)(2+3i)

using the FOIL Method.

7⋅2+7(3i)−5i⋅2−5i(3i)

Simplify and combine like terms.

Answer:

\(y=-4x+16\).

Step-by-step explanation:

From the given graph it is clear that the y-intercept is 16.

The line passes through (-2,24) and (2,8). So, slope of line is

\(Slope=\dfrac{y_2-y_1}{x_2-x_1}\)

\(Slope=\dfrac{8-24}{2-(-2)}\)

\(Slope=\dfrac{-16}{4}\)

\(Slope=-4\)

Slope intercept form of a line is

\(y=mx+b\)

where, m is slope and b is y-intercept.

Substitute m=-4 and b=16 in the above equation.

\(y=(-4)x+(16)\)

\(y=-4x+16\)

Therefore, the required equation is \(y=-4x+16\).

Answer:

348900

Step-by-step explanation:

3489*100=348900

Answer:

\(\boxed{\textbf{348900}}\)

Step-by-step explanation:

Given that the number is 3,489.

We are looking for a new number which is 100 times greater than 3489.

Next, the number which is one hundred times greater than 3,489​ is as follows:

\(3,489 ~x~100=348900\)

Thus, the required number is 348900.

An equation system's solution is a collection of values for the variable that concurrently fulfill each equation.

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The cost of a battling token is $1.5 and the cost of a miniature golf game is $2.

The set of values for the variable that simultaneously satisfy all of the equations in an equation system is called the solution. In order to solve an equation system, all sets of variable values that could possibly exist must be found. The second equation, however, is initially without a solution (5, 4).

The set of values for the variable that simultaneously satisfy all of the equations in an equation system is called the solution.

If both variables are eliminated and you are left with a true statement, there are an infinite number of ordered pairs that satisfy both equations. In reality, the equations' lines are the same.

Let cost token be x and golf games be y, i.e.

16x + 3y = 30

22x + 5y = 43

Lets Solve by using Elimination method both the expression in equal terms

 80x + 15y = 150

- 66x + 15y = 129

14x = 21

x = 21/14

x = 1.5

Then, for y

16(1.5) + 3y = 30

y = 2

Thus, The cost of a battling token is $1.5 and the cost of a miniature golf game is $2.

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Answer:

-25/3 or mixed from -8 1/3

Step-by-step explanation:

Answer:

-25/3 or -8.3

Step-by-step explanation:

Hope this helps:)

P-value = 0.0384

As P-value < 0.05, reject the null hypothesis.

A statistic (a number obtained from the sample) used in statistical hypothesis testing is known as a test statistic. Usually, a hypothesis test is described in words.

A test statistic is a figure obtained from a statistical analysis. It explains how distant your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

The alternative and null hypotheses are listed below.

Lack of hypothesis H0: μ = 13

Ha: 13 Alternative Hypothesis

Statistical test, z = (xbar - mu)/(sigma/sqrt(n))

z = (11 - 13)/(8/sqrt(50))

z = -1.77

Region of Rejection

For α= 0.05, this is a left-tailed test.

Z has a critical value of -1.645.

Therefore, if z -1.645, reject H0 and accept the null hypothesis.

P-value Approach

P-value = 0.0384

As P-value < 0.05, reject the null hypothesis

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The correct option regarding the scale factor and the statement in this problem is given as follows:

D. The statement is false. Because there are 3 feet in one​ yard, there are 9 square feet in one square yard.

The scale factor between the length dimensions of the yard are given as follows:

3 feet = 1 yard.

(as these length dimensions are given in yards).

Then for the square units, the correct scale factor is found applying the proportion as follows:

(3 feet)² = (1 yard)².

9 feet squared = 1 square yard.

Hence the statement given in this problem, that because there are 3 feet in one​ yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.

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Answer: 9 miles

Step-by-step explanation:

The distance would be 9 because if the speed walker walked 4.5 miles in 3/4  of an hour, he would be going 6 mph (miles per hour).

If he walks twice as fast, he would be going 12 mph.

If he walks for 3/4 of an hour (45 minutes) at 12 mph, he would walk 9 miles.

9 miles he walks in 3/4 hours if he walks twice as fast.

Speed is characterized as the pace of progress of the position of an item toward any path. Speed is estimated as the balance of length to the time in which the distance was covered. Speed is a scalar amount as it has just course and no size.

4 1/2 miles will be covered by him in  3/4 hour

if the speed walker covered 4.5 miles in just over an hour 

The duration would indeed be 9 since the speed walker might be moving at a rate of six miles per hour.

He would be moving at 12 miles per hour if he walked twice as quickly.

He would cover 9 miles in 3/4 of an hour (45 minutes) of walking at a speed of 12 miles per hour.

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2/3x + 1/4y = -26 (a)

+

2/5x + 2/3y = -28 (b)

____________

Multiply (a) by -3/5 , then add

-2/5x - 3/20 = 78/5

+

2/5x + 2/3y = -28 (b)

______________

31/60y = -62/5

y = -62/5 * 60/31

y= -24

Replace y=-24 on any equation and solve for x

2/3x + 1/4 (-24) = -26

2/3x -6 = -26

2/3x = -26+6

2/3x = -20

x = -20 * 3/2

x = -30

(x,y) = (-30,-24)

Answer:

-0.9

Step-by-step explanation:

Answer:

x=-9/10 or -0.9

Step-by-step explanation:

You have to isolate the variable by dividing each side by factors that don't contain the variable. Hope this helped! :)