Let f(x) = 2x’Inx – 5x"". Find the open intervals on which f(x) is concave up/concave down and state the x-coordinates of the inflection point. Show your reasoning. concave up on: concave down on: inflection point at x=

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

Answer:

19-13=4

Step-by-step explanation:

subtract the smallest number but the biggest and there's your answer

Hi!

I will help you with a smile! :)

Here’s how we multiply fractions:

Multiply the numerator of one fraction by the numerator of the second fraction.

Do the same with the denominator.

Then, simplify if necessary.

1/8*1/8*1/8

Multiply 1 times 1 times 1:

1

Then, 8 times 8 times 8:

64 times 8

512

Answer: 1/512

Hope it helps.

-Nature-

Enjoy your day!

Answer:

1/512

Step-by-step explanation:

⅛ × ⅛ × ⅛

= 1 × 1 × 1 / 8 × 8 × 8

= 1³/8³

= (1/8)³

= 1/512

Hope it helps ⚜

Answer: Convert

Step-by-step explanation:

It just it, I don`t want to explain.

A distribution is a way of displaying data, consisting of three primary components: shape, center, and spread. The shape is the overall pattern of the distribution, while the center is the point where the distribution is balanced. The spread is the range of values of the data, often measured by the standard deviation or the interquartile range (IQR). The distribution can be visualized through graphs like histograms, box plots, or scatter plots.

A brief description of a distribution should include its shape, center, and spread. The spread is the term that should be included in the blank space.A distribution can be described as a way of displaying data. It gives us an idea about how the data are spread out.

The three primary components of any distribution are the shape, center, and spread. Shape refers to the overall pattern of the distribution. It tells us whether the data are symmetric or skewed. The symmetry means that the left half of the distribution is a mirror image of the right half, whereas a skewed distribution is not symmetrical. The tail of a distribution describes the spread of a skewed distribution. It refers to the parts of the distribution that extend out from the center of the graph.The center refers to the point where the distribution is balanced. In symmetric distributions, the center is the same as the mean and median. However, in a skewed distribution, the mean and median differ from each other.

The spread refers to the range of values of the data. It tells us how much the data are scattered or spread out. A small spread indicates that the data points are close to each other, while a large spread suggests that the data points are far from each other. It is often measured by the standard deviation or the interquartile range (IQR).The distribution of data can be visualized through different graphs like histograms, box plots, or scatter plots.

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In the given options, only option C has the form of a second-degree function, y = x², where a=1, b=0, and c=0.

Therefore, the correct answer is C.

What is the polynomial equation?

A polynomial equation is an equation in which the variable is raised to a power, and the coefficients are constants. A polynomial equation can have one or more terms, and the degree of the polynomial is determined by the highest power of the variable in the equation.

The function y = x² is a second-degree function because it contains a variable, x, raised to the second power.

Option A, y = x, is a first-degree function because it contains a variable, x, raised to the first power.

Option B, y = 3x - 7, is a first-degree function because it contains a variable, x, raised to the first power.

Option D, y = 3, is a constant function because it does not contain any variable raised to any power.

Therefore, the answer is option C, y = x² has the form of a second-degree function.

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The statement most effectively sets up the main idea is the they were more "realistic" than their Golden Age counterparts. Thus option D is correct option.

According to the statements

we have to find that the correct statements from the given statements.

So, For this purpose, we know that the

Since the passage is talking about a change in focus to one character compared to many in comic books, the appropriate introduction would be D because a were more "realistic" than their Golden Age counterparts. When looking at the rest of the answers, you can use the process of elimination to find the best choice. The provided introduction introduces a completely different topic, so it cannot be correct. Answer C also is introducing a new topic, and Answer D doesn't work because the passage wasn't talking about the value of these comic books.

So, from all this discussion Option D is a correct.

So, The statement most effectively sets up the main idea is the they were more "realistic" than their Golden Age counterparts. Thus option D is correct option.

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Answer:

it b

Step-by-step explanation:

To determine which statement is true, we need to calculate the percentages for each option and compare them and option c is correct.

Option A: The percentage of Seniors who ordered a large shirt is greater than the percentage of students who ordered a large shirt and are also in the Senior class. To calculate the percentage of Seniors who ordered a large shirt, we divide the number of Seniors who ordered a large shirt by the total number of Seniors:

Percentage of Seniors who ordered a large shirt =\((79 / 220) * 100 = 35.91\)% To calculate the percentage of students who ordered a large shirt and are also in the Senior class, we divide the number of Seniors who ordered a large shirt by the total number of students who ordered a large shirt: Percentage of students who ordered a large shirt and are also in the Senior class \(= (79 / 147) * 100 = 53.74\)% Since the percentage of students who ordered a large shirt and are also in the Senior class is greater than the percentage of Seniors who ordered a large shirt, statement A is false.

Similarly, we can calculate the percentages for the other options: Option B: The percentage of Seniors who ordered a small shirt is the same as the percentage of students who ordered a small shirt and are also in the Senior class. Percentage of Seniors who ordered a small shirt \(= (51 / 220) * 100 = 23.18\)% Percentage of students who ordered a small shirt and are also in the Senior class \(= (51 / 116) * 100 = 43.97\) % Since the percentages are not the same, statement B is false.

Option C: The percentage of Juniors who ordered a medium shirt is greater than the percentage of students who ordered a medium shirt and are also in the Junior class. Percentage of Juniors who ordered a medium shirt \(= (84 / 240) * 100 = 35\)% Percentage of students who ordered a medium shirt and are also in the Junior class \(= (84 / 146) * 100 = 57.53\)% Since the percentage of students who ordered a medium shirt and are also in the Junior class is greater than the percentage of Juniors who ordered a medium shirt, statement C is true.

Hence the correct option is C.

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The total number from 1 to 100 is found by addition

Combining things and counting them as one big group is done through addition.

In math, addition is the process of adding two or more integers together.

Addends are the numbers that are added, and the outcome of the operation, or the final response, is referred to as the sum.

In the problem the addends are the numbers 1 2 3 4 5 6 .......97 98 99 100

The applying the addition operation the sum is calculated to be 5050. calculator will make the operation easier

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Answer:

(-6,-3) because to get 4 to -2 that's 6 and to get 0 to 0 is -3

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

caring on learning

The vector-valued function at each given value of t  is :

a) i

b)  1/√2i+9/√2j

c)−cos(θ)i+9sin(θ)j

d)  −2sin(π/6+△t/2)sin(△t/2)i+18cos(π/6+△t/2)sin(△t/2)j

The given problem is related to trigonometric Ratios of Angle, where there are six trigonometric ratios sine, cosine, tangent, cotangent, cosecant, and secant. Since it is given that a  vector valued function:

r(t)= cos(t)i + 9 sin(t)j

r(t)=cos(t)i+9sin(t)j

so ,  r(0)=  cos(0)i+9sin(0)j = i ( sine cos0 =1 and sin0 =0)

r(π/4) =  cos(0)i+4sin(0)j = cos(π/4)i+9sin(π/4)j

           = 1/√2i+9/√2j

r(θ−π)= cos(θ−π)i+9sin(θ−π)j= −cos(θ)i+9sin(θ)j

(π/6+△t)−r(π/6)= cos(π/6+△t)i+9sin(π/6+△t)j−cos(π/6)i−9sin(π/6)j

=  cos(π/6+△t)i−cos(π/6)i+9sin(π/6+△t)j−9sin(π/6)j

= −2sin(π/6+△t/2)sin(△t/2)i+18cos(π/6+△t/2)sin(△t/2)j

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Evaluate (If possible) the vector-valued function at each given value of t. (If an answer does not exist, enter DNE.)

r(t)=cos(t)i+9sin(t)jr(t)

a)r(0)=?

b)r(π/4)=?

c)r(θ−π)=?

d)r(π/6+△t)−r(π/6)=?

Answer:

140 km

Step-by-step explanation:

according to scale on a map

1 m = 20 km

7 m = ?

7m = 20*7 km

=140 km

Answer:

92.75 cm²

Step-by-step explanation:

area of polygon = area of ∆EDA + area of ∆ADC +area of ∆ACB.

area of triangles is ½×base×height.

area of ∆EDA=½×EF×AD

=½×4.5×12

=27 cm². -------->(1)

area of ∆ADC=½×AD×DC

=½×12×5

=30 cm². --------->(2)

area of ∆ACB=½×AC×BG

=½×AC×5.5

from pythagorean theorem

(AC)²=(AD)²+(CD)²

= 25+144

= 169 cm then. AC= 13 cm

then area of ∆ACB=½×5.5×13

=35.75 cm² ---------->(3)

from equation (1), (2) and (3):

then the area of polygon = 27 + 30 + 35.75

=92.75 cm²

By assuming that 1 + 1 = 3, we will reach an absurd.

To do this, we need to reach an absurd.

Let's assume that we are working with integer numbers, and let's assume that 1 + 1 is equal to 3.

Then we can write:

1 + 1 = 3

Now, if we subtract 1 in both sides, we get:

(1 + 1) - 1 = 3 - 1

1  = 2

Now we can subtract 1 again so we get:

1 - 1 = 2 - 1

0 = 1

This is an absurd, then the statement:

1 + 1 = 3

is false.

So we conclude that:

1 + 1 isn't 3.

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The general equation of a circle is

Here, (h,k) is the center of the circle and r is the radius of the circle.

change the given equation into the general form as follows:

So, the center is (0,0) and the radius is r = 5.

The inequality that describes how many movies Parv can buy is: n ≤ 10.025

Let's denote the number of movies Parv wants to buy as n. We are given that each movie costs $3.99. To determine the inequality that describes how many movies Parv can buy, we need to consider the amount of money he has remaining after purchasing the pack of games.

Parv starts with a $50 gift card and spends $9.99 on a pack of games. The remaining amount on the gift card is $50 - $9.99 = $40.01.

Now, let's consider the cost of n movies. Each movie costs $3.99, so the total cost of n movies would be n * $3.99.

Since Parv wants to buy the movies using the remaining amount on his gift card, we can set up the inequality:

n * $3.99 ≤ $40.01

This inequality states that the total cost of n movies, represented by n * $3.99, must be less than or equal to the remaining amount on the gift card, which is $40.01.

Simplifying the inequality further, we have:

3.99n ≤ 40.01

Now, if we want to solve for n, we can divide both sides of the inequality by 3.99:

n ≤ 40.01 / 3.99

Calculating this value, we have:

n ≤ 10.02506265664

Therefore, the inequality that describes how many movies Parv can buy is:

n ≤ 10.025

This means that Parv can buy a maximum of 10 movies, as he cannot purchase a fractional part of a movie.

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To find the volume between the planes 4x + 3y + z = 8 and 5x + 5y + z = 8, and above the region defined by x + y ≤ 2, x ≥ 0, and y ≥ 0, we can set up a triple integral over the specified region.

The volume can be calculated as follows:  ∭V dV

Where V represents the volume and dV represents the differential volume element. To define the limits of integration, we need to determine the boundaries of the region in the xy-plane and the range of z values.

In the xy-plane, the boundaries are determined by the inequalities x + y ≤ 2, x ≥ 0, and y ≥ 0. These inequalities define a triangle in the first quadrant with vertices at (0, 0), (2, 0), and (0, 2). Therefore, the limits of integration for x and y are:

0 ≤ x ≤ 2

0 ≤ y ≤ 2 - x

For the z values, we need to consider the intersection of the two planes 4x + 3y + z = 8 and 5x + 5y + z = 8. By solving these equations simultaneously, we find that z = 0. Therefore, the limits of integration for z are:

0 ≤ z ≤ 8 - 4x - 3y

Putting it all together, the triple integral for the volume is:

\(\int\ \int\ \int V dV = \int\limits^2_0 \int\limits^{2-x}_0 \int\limits^{8-4x-3y}_0dz dy dx\)

This represents the volume between the planes 4x + 3y + z = 8 and 5x + 5y + z = 8, and above the region defined by x + y ≤ 2, x ≥ 0, and y ≥ 0

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Answer:

where is the figure

Step-by-step explanation:

Step-by-step explanation:

what do you need to do ?

the only thing we can do here without any further information is simplification if the expression:

-23x² + x² - 6x + 10 + 2x²

now we group ask the terms of the same variable exponents :

-23x² + x² + 2x² - 6x + 10

-20x² -6x + 10

we could do

2×(-10x² - 3x + 5)

but I personally don't find this more simplified that the previous form.

Answer:

Step-by-step explanation:

line RPN = 180 = 4y - 10 + 90 + y

180 - 90 + 10= 5y

100 = 5y

y = 100/5

y = 20

The hot or cold, and they can be served in a variety of containers, including cups, bottles, and cans.

There is no sample size or other information provided in the question, so the probability of 45 or more people in the sample having consumed alcoholic beverages cannot be calculated. More information is needed to solve this problem.What is probability?Probability is a branch of mathematics that deals with calculating the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 representing impossibility and 1 representing certainty. A probability of 0.5 represents a 50% chance of the event occurring. Probability is used in a variety of fields, including statistics, finance, and engineering.What are beverages?Beverages are drinks that are intended for human consumption. Beverages come in a variety of types, including alcoholic and non-alcoholic. Beverages can be made from a variety of ingredients, including water, fruit juice, and milk. They can be hot or cold, and they can be served in a variety of containers, including cups, bottles, and cans.

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Answer:

6. B. x + 8

7. D. ( 3x-2)(3x-2)

8. D. Perfect square trimomal

9.C. x - 2

10. A. 3x and 8x

Step-by-step explanation:

Semoga Bermanfaat

Answer:

25

Step-by-step explanation:

Factor the number 4----->2^2

=\left(2^2\right)^{\log _2\left(5\right)}

add the exponent rule-----> (a^b)^c=a^bc

=2^{2\log _2\left(5\right)}

apply log rule----->\:a^{\log _a\left(b\right)}=b

=5^2=25

hope it helps :>

The amount of refund Johnny is entitled to would depend on various factors,

Terms and conditions of rental list purchase, any guarantees or representations made by you regarding the accuracy of the list,

And the applicable consumer protection laws in your jurisdiction.

If you provided a guarantee or representation that the rental list would only include pet-friendly rentals, and it was found to be inaccurate.

Johnny may have grounds to request a refund.

In such a case, he would generally be entitled to a refund of the amount he paid for the rental list.

It's important to review terms and conditions of purchase agreement or any written guarantees provided to determine the specific refund policy.

Additionally, consulting with a legal professional or seeking advice from a consumer protection agency.

In your jurisdiction would be advisable for a more accurate assessment of the situation based on the specific circumstances.

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The statement "The normal force is equal to the perpendicular component of the object's weight, which decreases as the angle of inclination increases" is true.

As the angle of inclination increases, the object's weight can be divided into two components: one perpendicular to the inclined surface (the normal force) and one parallel to it. As the angle increases, the perpendicular component (normal force) decreases, while the parallel component increases.

So to directly answer your question, the normal force is never equal to the weight of the object on an inclined plane (unless you count the limiting case of level ground). It is equal to the weight of the object times the cosine of the angle the inclined plane makes with the horizontal.

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Answer:

Total length of the trip = 600 miles

Step-by-step explanation:

Given:

Distance travel during sleep = 65%

Distance travel during sleep = 390 miles

Find:

Total length of the trip

Computation:

Total length of the trip = Distance travel during sleep [100 / 65]

Total length of the trip = 390 [100 / 65]

Total length of the trip = 600 miles