Find the critical values and determine the intervals where f(x) is increasing and f(x) is decreasing if f(x)= 1 + (3/x) +(2/ x^2)

The average speed for the downhill section must be 20 km/hour

Let's call the average speed for the uphill section "u" and the average speed for the downhill section "d". The total average speed for the 20 km section must be 20 km/hour, so we can set up an equation:

\((10 km / u) + (10 km / d) = 20 km / 20 km/hour\)

We know that the average speed for the uphill section is 12 km/hour, so we can substitute this value into the equation:

\((10 km / 12 km/hour) + (10 km / d) = 20 km / 20 km/hour\)

Simplifying the equation:

\(5/6 + 10/d = 1\)

\(5/6 = 1 - 10/d\)

\(d = 20 km/hour\)

So the average speed for the downhill section must be 20 km/hour in order for the average speed for the entire trip to be 20 km/hour.

Learn more about average speed

brainly.com/question/12322912

#SPJ4

Answer:

First there are 4 terms. I think/believe that there are 3 factors in the first term. And the answer to the last question is 16 or term 3.

Step-by-step explanation:

I hope this helps, plz mark me as brainlyest anyways I hope you get a good score on your test!!

Answer:

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

Step-by-step explanation:

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

learn more about exterior angle theorem from

https://brainly.com/question/17307144

#SPJ1

Answer:

x=11

Step-by-step explanation:

Answer:

-3.7

Step-by-step explanation:

i think this is right if you meant to say find instead of fine

Answer:

x-intercept= 12

y-intercept=-4

Step-by-step explanation:

The solution to the system of equations graphed below is,

⇒ (0, 1)

Since, We have to given that;

Two system of equations are,

⇒ g (x) = 3x + 2

⇒ f (x) = |x - 1| + 1

Here, The graph of both system of equation are shown in graph.

We know that;

In a graph, the solution of system of equation are represented by a intersection point of both graph.

Here, In the graph of system of equation,

Intersection point is,

⇒ (0, 1)

Hence, The solution to the system of equations graphed below is,

⇒ (0, 1)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Answer:

4y

Step-by-step explanation:

every part of the equation can be evenly divided by 4 and y

so this leaves you with 4y (-4\(y^{3}\) + 3y - 1)

Answer:

4y

Step-by-step explanation:

16 12 4 ---- all could be divided by 4

4   3   1 ---- no more common factors

GCF = 4y --- there are 3 y's in the problem, find the one with the smallest power and use it and the smallest power in this case is y^1

Answer:

-4.9

Step-by-step explanation:

the dot is on -4.9

Answer:

10. 89

11. 36

12. $29.95

13. 700

14. 14.23 ( may be wrong )

15. 129

16. $22.97

Step-by-step explanation:

My single braincell worked.

The point (-7,4) is the farthest from the point and the distance is 11 units away, the correct option is (d).

We have to find that which point is the farthest from the point (4,4),

The distance(d) between two points (x₁, y₁) and (x₂, y₂) can be calculated by the distance formula : √((x₂-x₁)² + (y₂-y₁)²);

Using this formula, we can find the distance between each of the points and (4, 4):

⇒ For point (-7, 4):

d = √((4 - (-7))² + (4 - 4)²)

d = √(11²)

d = 11 units

⇒ For point (4, 4):

d = √((4 - 4)² + (4 - 4)²)

d = 0 units

⇒ For point (4, -5):

d = √((4 - 4)² + (-5 - 4)²)

d = √(9²)

d = 9 units,

Therefore, the point farthest away from (4, 4) is (d) Point (-7, 4), and the distance is 11 units.

Learn more about Distance here

https://brainly.com/question/14451972

#SPJ1

The given question is incomplete, the complete question is

A graph with the x-axis starting at -10, with tick marks every one unit up to 10. The y-axis starts at -10, with tick marks every one unit up to 10. A point is plotted at (-7, 4), at (4, 4) and at (4, -5).

Which of the points plotted is farther away from (4, 4), and what is the distance?

(a) Point (4, -5), and it is 9 units away

(b) Point (4, -5), and it is 11 units away

(c) Point (-7, 4), and it is 9 units away

(d) Point (-7, 4), and it is 11 units away

Answer:

\(x = - 15\)

Step-by-step explanation:

\( x - 6 = 5(x + 6) \\ = x - 6 = 5x + 30(open \: the \: bracket) \\ = collect \: like \: terms \\ = x - 5x = 30 + 6 \\ = - 4x = 36 \\ divide \: by \: the \: coefficient \: of \: x = - 4 \\ = - 15\)

Answer: The positive acute angle between the x-axis and the angle's terminal side, or the angle's terminal side wherever it is, measured so that the reference angle is positive and less than 90° (or 2) is known as the reference angle for a given angle in trigonometry.

This is all I know I don't have a class like this sorry hope this helps you!

Answer:

x=501

Step-by-step explanation:

so to find x we take -8016 divide by -16 which equal 501

The required value of x when dividing -8016, the value obtained is -16, is 501.

On dividing -8016 by x, the value obtained is -16. Find the value of integer

In mathematics to operate and interpret the function to make function simple or more understandable called simplification.

Here,
-16 = -8016/x
x = 8016/16
x = 501

Thus, the required value of x when dividing -8016, the value obtained is -16, is 501.  

Learn more about simplification here:
https://brainly.com/question/12501526

#SPJ2

Answer:

1. 11/2

2. -1/2

3. 17/20

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

p(x)=1/2(x-2)(x-3)(x+7)

costant term=1/2(-2)(-3)(7)=21

The function g(x) = x³ - 6√x + 2 has a local minimum at x = 1, while there are no local maximum points.

To locate any local maximum or minimum points of the function g(x) = x³ - 6√x + 2, we can use the Second Derivative Test.

First, we need to find the first and second derivatives of g(x).

The first derivative of g(x) is given by g'(x) = 3x² - 3√x.

Taking the derivative again, we find the second derivative: g''(x) = 6x - 3/(2√x).

To determine the critical points, we set g'(x) = 0 and solve for x.

Setting 3x² - 3√x = 0, we have x² - √x = 0.

Squaring both sides, we get x⁴ - x = 0. Factoring out x, we have x(x³ - 1) = 0.

This gives us two critical points: x = 0 and x = 1.

Now, we evaluate the second derivative at each critical point.

At x = 0, g''(0) = -3/(2√0), which is undefined.

At x = 1, g''(1) = 6 - 3/(2√1) = 6.

According to the Second Derivative Test, if g''(x) > 0, we have a local minimum; if g''(x) < 0, we have a local maximum.

Since g''(1) = 6 > 0, we can conclude that there is a local minimum at x = 1.

In summary, the function g(x) = x³ - 6√x + 2 has a local minimum at x = 1, while there are no local maximum points.


To learn more about function click here: brainly.com/question/30721594

#SPJ11

Answer:

CD = 20 cm

Step-by-step explanation:

Area of Δ = 1/2(Base)(Height)

Where Height = 15, Area = 150

So,

150 = 1/2(CD)(15)

CD = \(\frac{150*2}{15}\)

CD = 10*2

CD = 20 cm

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Answer: B. 2 quarts

Step-by-step explanation: 16 divided by 8 is 2 so you multiply 2 by 1 and you get 2. :)

Answer:

3/15 in the simplest form is 1/5....

when you divide by 3 it gives 1/5.

The fraction 3/15 in simplest form is 1/5.

A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.

In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.

In this case, 3 and 15 have a common factor, which is 3. Thus, 3/15 in simplest form will be:

3/15 = 1/5  (divide both numerator and denominator by 3)

Learn more about fraction on:

https://brainly.com/question/11562149

#SPJ6

Part A: The theoretical probability of drawing a red card is 0.32 or 32%.

Part B: The experimental probability of drawing a red card is 0.38 or 38%, and it is 6% greater than the theoretical probability.

Part A: The theoretical probability of drawing a red card from the hat is the number of red cards divided by the total number of cards in the hat:

\(P_{red}\) = 8 ÷ (8 + 6 + 7 + 4)

= 8 ÷ 25

= 0.32 or 32%.

Part B: The experimental probability of drawing a red card can be calculated by dividing the number of times a red card was drawn by the total number of trials:

\(P_{red}\) = 437 ÷ 1150

= 0.38 or 38%.

The difference between the experimental probability and the theoretical probability can be calculated as follows:

0.38 - 0.32

= 0.06 or 6%

To learn more about probability follow the link:

https://brainly.com/question/30231190

#SPJ1

Answer:

Work shown below!

Step-by-step explanation:

White bead = \(\frac{5}{15} =\frac{1}{3}\)

Answer:

a 33.3333333% chance

Step-by-step explanation:

we do 7+3+5= 15 (the denominator)

and so the amount of white beads in total is 5/15

5÷15+100= 33.333333333 and so on percent

Between clock skew and clock jitter, skew is preferred because it is more predictable and can sometimes increase max frequency. This makes it easier to manage in electronic systems and can provide benefits in certain scenarios.

Jitter is preferred because it is predictable. Clock jitter refers to the variability of the clock signal and can be predicted and compensated for. On the other hand, clock skew refers to the difference in arrival time of the clock signal at different points in the circuit and can sometimes increase maximum frequency. However, skew is preferred because it is more predictable and can be compensated for, while jitter is preferred because it is unpredictable and can't be compensated for. Therefore, in general, jitter is considered more preferable than skew.

Know more about frequency here:

https://brainly.com/question/5102661

#SPJ11

Answer:

Pretty sure it's 2

Step-by-step explanation:

Friend functions may directly modify or access the private data members. group of answer choices are true.

A friend function in C++ is a function that is not a member of a class but has access to its private and protected members. It is declared with the keyword "friend" inside the class. One of the advantages of using friend functions is that they can directly modify or access the private data members of a class, bypassing the normal access restrictions.

Friend functions are able to do this because they are granted special privileges by the class they are declared in. This means that they can access private data members and even modify them without using the usual public member functions of the class.

This feature can be useful in certain scenarios. For example, if we have a class that represents a complex number, we may want to provide a friend function to calculate the magnitude of the complex number directly using its private data members, instead of going through a getter function..

In conclusion, friend functions in C++ can indeed directly modify or access private data members. While this can be a powerful tool in certain cases, it should be used with caution to maintain the integrity of the class's encapsulation.

Learn more about Encapsulation

brainly.com/question/14276789

#SPJ11

Integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

Given that,

Analyze the integral to see if it is convergent or divergent. convergent integrals should be evaluated.

\(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

We have to simplify the equation.

Finding the area of the curve's undersurface is the process of integration. To do this, draw as many little rectangles as necessary, then add up their areas.

We know that,

I= \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\)

Let p = x²then xdx= dp/2

Then

I= \(\int\limits^\infty_\infty {3/2e^{-p} } \, dp\)

I= 3/2(\(e^{-p}\))infinity to minus infinity

I= 3/2 (\(e^{-x^{2} }\))infinity to minus infinity

I=0

Therefore, integral value is finite since the given integral converges when the function is \(\int\limits^\infty_\infty {3xe^{-x^{2} } } \, dx\).

To learn more about integral visit: https://brainly.com/question/18125359

#SPJ4

Answer:

5

Step-by-step explanation:

sorry if inorrect