DETERMINE WHETHER THE GRAPH SHOWN TO THE RIGHT REPRESENT A FUNTION

Hello

= 5x - 2x + x² + 3x² + 8y

= 3x + 4x² + 8y

good day ;)

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

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The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Answer:   Infinitely many solutions

Answer:

Step-by-step explanation:

Let us assume the question was asked in the year 2020, that is this year

Say that Mr. Green was born in year x

The mathematical expression for his statement is given as

\(x + 2020 - (x + 10 + x + 50) + (2020 - x) = 122\)

Solve for x

x + 2020 + 2020 - x - x - 60 - x = 122

4040- 122- 2x = 0

3918= 2x

divide both sides by 2

3918/2= x

x=1959

He was born in 1959, so now

he is (2020-1959)

=61 years old.

Answer:

2×5×7²

Step-by-step explanation:

You will start by using the factor tree.

490

^

2 245

^

5 49

^

7 7

The recursive formula for the given sequence is:

A(n) = -4*A(n - 1)

Here we have the sequence:

-4, 16, -64, 256, -1024

We can see that these are just powers of 4 such that each consecutive term the sign changes.

Then if we start at -4, we have:

-4*-4 = 16

16*-4 = -64

-64*-4 = 256

And so on, then the general formula is:

A(n) = -4*(-4)ⁿ⁻¹

And the recursive one is:

A(n) = -4*A(n - 1)

That is the n-th term of the sequence.

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The given function rand() % 50 + 5  will generate random numbers in the range of 5 to 54 inclusive.

The code snippet you provided contains a syntax error.

It seems like there is a typo between the '%' and '5' characters.

Assume that it meant to write,

rand() % 50 + 5;

Assuming that rand() function generates a random integer between 0 and RAND_MAX

Which may vary depending on the implementation.

The expression rand() % 50 will generate a random integer between 0 and 49 inclusive.

Then, adding 5 to the result will shift the range of the generated numbers up by 5.

Producing a random integer between 5 and 54 inclusive.

Therefore, the range of the random numbers generated by the code snippet rand() % 50 + 5 will be from 5 to 54 inclusive.

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Testing the hypothesis in this problem which is a two-tailed test, we can conclude that there is not sufficient evidence to conclude that the mean time of installation has changed, since the p-value of the test is 0.0364 > 0.01,

At the null hypothesis, we test if the mean is of 25 minutes, that is:

\(H_0: \mu = 25\)

At the alternative hypothesis, we test if the mean has changed, that is, if it is different than 25 minutes.

\(H_1: \mu \neq 25\)

We have the standard deviation for the sample, thus, the t-distribution is used. The value of the test statistic is:

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

In which:

In this problem:

The value of the test statistic is:

\(t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}\)

\(t = \frac{26.2 - 25}{\frac{4}{\sqrt{51}}}\)

\(t = 2.14\)

Since the p-value of the test is 0.0364 > 0.01, there is not sufficient evidence to conclude that the mean time of installation has changed.

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The input of a function is the x-value, and the ouput is the corresponding y-value.

From the given options the one that correspond to the function in the graph is:

Answer:

60=20+4x

40=4x

10=x

10 cakes plus the $20 for the week = $60

or you can just do this 20 + 4x = 60

Step-by-step explanation:

The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Given:

In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.

To find:

The correct congruency statement for the given triangles.

Solution:

In △ABC and △PQR,

\(AB=QR=5\ cm\)                    (Given)

\(BC=PQ=6\ cm\)                    (Given)

\(AC=PR=8\ cm\)                    (Given)

All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.

\(\Detla ABC\cong \Delta RQP\)               (SSS congruency postulate)

Therefore, the correct option is C.

The measure of the angle B of the triangle is 78.15 degrees

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

Answer: 20

Step-by-step explanation:

its divisible by 5 and it is not even

Answer:

Jose traveled 260 miles

Step-by-step explanation:

The equation of the linear function is y = -5x - 3

From the question, we have the following parameters that can be used in our computation:

The graph (See attachment)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

This means that

y = mx - 3

From the graph, we have

(x, y) = (-1, 2)

Substitute the known values in the above equation, so, we have the following representation

2 = -m - 3

Evaluate

m = -5

So, we have

y = -5x - 3

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Answer:

All numbers that are in the decimal places are significant.

Step-by-step explanation:

A decimal is a digit after the decimal dot.

E.g. 1 in 2.31 is a decimal. 1 in 2.13 is also a decimal.

Answer: x = -1

Step-by-step explanation:

simplify 2(x + 7) 2 / 3 = 8 to 4x + 28 = 24 and then solve it from there

The fog(x) of the function will be 6x² -2x - 5 and gof(x) of the function will be 12x² + 62x - 80.

The collection of values that can be plugged into a function's domain is called its parameters. The x values for a function like f(x) are contained in this collection (x). The collection of numbers that the operator assumes is known as its range.

As per the given information in the question,

f(x) = 2x - 5 and,

g(x) = 3x² - x

fog(x) = 2x - 5 and,

gof(x) =  2x - 5

fog(x) = f(g(x))

= f (3x² - x) = 2(3x² - x) -5

= 6x² -2x - 5

gof(x) = g(f(x))

= g (2x - 5) = 3(2x - 5)² + 2x - 5

= 12x² - 75 + 60x + 2x -5

12x² + 62x - 80.

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Answer:

21

Step-by-step explanation:

84% = 84/100

= 0.84

multiply 25 by 0.84 for result

0.84 x 25 = 21

Answer:

\(C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6<x\le 8& \end{array}\right\)

Step-by-step explanation:

Given

See attachment for question

Required

The piece-wise function

From the attachment, we have:

(1) $4/hr for first 2 hours

This is represented as:

\(C(x) = 4x\)

The domain is: \(0 \le x \le 2\)

(2) $2/hr for next 4 hours

Here, we have:

\(Rate = 2\)

The total cost in the first 2 hours is:

\(C(x) = 4x\)

\(C(2) = 4*2 = 8\)

So, this function is represented as:

\(C(x) = C(2) + Rate * (Time - 2)\) ----- 2 represents the first 2 hours

So, we have:

\(C(x) = C(2) + Rate * (Time - 2)\)

\(C(x) =8 + 2(x - 2)\)

Open brackets

\(C(x) =8 + 2x - 4\)

Collect like terms

\(C(x) =8 - 4+ 2x\)

\(C(x) =4+ 2x\)

The domain is:

\(2 < x \le 2 + 4\)

\(2 <x \le 6\)

(3) 0 charges for the last 2 hours

The maximum charge from (2) is:

\(C(x) =4+ 2x\)

\(C(6) = 4 + 2*6\)

\(C(6) = 4 + 12\)

\(C(6) = 16\)

Since there will be no additional charges, then:

\(C(x) = 16\)

And the domain is:

\(6 < x \le 8\) --- 8 represents the limit

So, we have:

\(C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6<x\le 8& \end{array}\right\)

Answer:

When the narrator directly states a characters characteristics...

examples:

Step-by-step explanation:

Answer:

x > -5, so the correct answer is C.

To verify if the relation is a function, it must be verified if from each value of x only one arrow departs.

A relation represents a function when each input value is mapped to a single output value.

In mapping notation, with the arrows, it must be verified if there is no input from which more than one arrow departs.

The problem is incomplete, hence the general procedure to verify if the relation is a function was presented.

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Answer:

c=-9

Step-by-step explanation:

Hello,

\((ax+b)(x-3)=ax(x-3)+b(x-3)=ax^2-3ax+bx-3b\\\\=ax^2+(b-3a)x+(-3b) \\\\\text{And it should be equal to } 4x^2+cx-9\)

We can identify the like terms so:

a = 4

b-3a = c

3b = 9 <=> b = 3

So c = 3 - 3*4 = 3-12 = -9

Hope this helps.

Do not hesitate if you need further explanation.

Thank you