The graph of y = |x +4|-8 is reflected across the y-axis and then translated down 2 units. What is an equation of the transformed graph?
O A. y = -|x +4|-10
O B. y= |4 - x|-6
O C. y = -|x + 4|-6
D. y= |4 - x|-10

The coordinates of the point B of vector is B ( -5 , -3 )

Given data ,

To find the coordinates of the terminal point B, we can start with the initial point of vector AB and add its components.

Initial point of AB: (-9, 8)

x-component of AB: 4

y-component of AB: -11

To find the coordinates of the terminal point B, we add the x-component and y-component to the corresponding coordinates of the initial point.

x-coordinate of B = x-coordinate of initial point + x-component of AB

x = -9 + 4

x = -5

y-coordinate of B = y-coordinate of initial point + y-component of AB

y = 8 + (-11)

y = -3

Hence , the coordinates of the terminal point B are (-5, -3)

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The matrices A and B that were defined are the integer matrices:

A = [1 0 0; 0 1 0]

B = [1 1 0; 0 0 0]

Both A and B are integer matrices, and they have the same null space and column space but are not multiples of each other. Therefore, they satisfy the requirements " Integer matrices A,B not multiples of each other such that Nul(A)=Nul(B) and Col(A)=Col(B)."

Let A and B be 3x3 matrices given by:

A = [1 0 0; 0 1 0]

B = [1 1 0; 0 0 0]

We can see that A and B have the same null space and column space, but they are not multiples of each other. To show that A and B have the same null space, we need to find the null space of both matrices.

For A, we need to solve the equation Ax = 0:

[1 0 0; 0 1 0] [x1; x2; x3] = [0; 0]

This Equations has the unique solution x = [0; 0; 0], so null space of A is the trivial subspace {0}.

For B, first solve the equation Bx = 0:

[1 1 0; 0 0 0] [x1; x2; x3] = [0; 0]

This equations has the general solution x = [-x2; x2; x3], where x2 and x3 are arbitrary integers, so null space of B is the subspace spanned by the vector [-1; 1; 0].

Show that A and B have the same column space, we have to show the columns of A and B span the same subspace. The columns of A are [1; 0] and [0; 1], which span the entire 2-dimensional space. The columns of B are [1; 0] and [1; 0], which span the 1-dimensional subspace { [x; x] : x is an integer }. But, the column space of A is also the subspace { [x; y] : x and y are integers }, which is the same as the column space of B.

Therefore, A and B have the same column space.

Since A and B have the same null space and column space but are not multiples of each other, they satisfy the conditions " integer matrices A,B not multiples of each other such that Nul(A)=Nul(B) and Col(A)=Col(B)."

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Answer:

Your answer is : (4x-1)^2

Answer:

please the question is wrong since it must be expressed in this way according to factorization ax²+bx+c so if only the -8x becomes +8x, it can no solved

Step-by-step explanation:

The question is wrong

Thanks for understanding

Answer:

$110

Step-by-step explanation:

We are looking for the decrease in money per desk purchased. Because the x-axis is the number of desks purchased, what we have to find is the (opposite) of the slope. The formula to represent slope can be written as:

\(\frac{y_{2} -y_{1} }{x_{2}- x_{1} }\)

We can substitute the points given, (2, 480) and (5, 150) and simplify:

\(\frac{150-480}{5-2} =\frac{-330}{3} = -110\)

We would multiply by -1 because we are asking for the decrease, and negative increase is decrease. -1 * -110, gives us $110

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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Answer:

3y=1-2x

y=(1-2x)/3

m=-2/3x

c=1/3

Step-by-step explanation:

SOLUTIONS

The On- time departure are represented with 4 , 5 , 6 , 7 , 8 , 9

while the late departure are represented with 0 , 1, 2, 3

Correct answer = Option D

The probability of not getting 6 at all is 11/36

The term "probability" is most commonly used to refer to the likelihood that a specific event (or set of events) will occur, expressed as a linear scale from 0 (impossibility) to 1 (certainty), or as a percentage between 0 and 100%. Statistics is the study of events subject to probability.

Given,

A die is rolled 2 times  

6 was on the first roll, but there was no 6 on the second,

6 came up on the second roll but not the first.

2 sixes

A) It is evident that 1/6 of the time you will roll a six.

B) There is a 5/6 chance of not getting a six on a single roll.

1/6x5/6 + 5/6x1/6 + 1/6x1/6

= 5/36 + 5/36 + 1/36

= 11/36

The probability of not getting 6 at all is 11/36

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Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

The points are given as:

(3,6.5) and (4,17.55)

Calculate the rate of change using:

r = y4/y3

This means that:

r = 17.55/6.5

r = 2.7

So, the next point on the graph is:

Next point = 2.7 * y4

Substitute 17.55 for y4

Next point = 2.7 * 17.55

Evaluate

Next point = 47.39

This means that the next point on the graph is (5,47.99)

Hence, Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

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I HOPE IT HELPED

Answer:

3p(p - 4) = 0

p = 0 or p = 4

Step-by-step explanation:

Given expression:

         3p² - 12p = 0

Now, let us factor;

  The common terms in the expression is 3p;

          3p(p - 4) = 0

Solution:

        3p = 0 or p - 4  = 0

           p = 0 or p = 4

Answer:

60

Step-by-step explanation:

100%/5%=20

20*3=60

A function assigns the value of each element of one set to the other specific element of another set. The value of the function f(-2) when the value of x is -2 is -8.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

First, we'll try to form the function based on the given statements

F(x) = {Part 1 : \(x^{3}\) x< -3 , Part 2 : 2\(x^{2}\) - 9 -3\(\leq\)x<4 , Part 3 : 5x+4 x\(\geq\)4 }

As the value of the function is needed to be found when the value of f(x) when x is -2, therefore, we can write the function as,

So from the piecewise function we'll use the Part 1 function to find the value of f(-2)

f(x) = \(x^{3}\)

f(-2) = \((-2)^{3}\)

f(-2) = -8

Hence, the value of the function f(-2) when the value of x is -2 is -8.

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Answer:

its -1

Step-by-step explanation:

I got it right on the test

77 is the sum of their integers  squares .

What in math is an integer?

Let the numbers be ( n - 1 ), n , ( n + 1 )

according to question

  ( n - 1 ) (n) ( n + 1 ) = 8( n + n - 1 + n + 1 )

  n( n² - 1 ) = 8(3n)

   ( n² - 1 ) = 24

    n²= 25

    n = 5

since n is positive integer n = 5

thus required numbers are 4,5,6

4² + 5² + 6² = 77

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Answer:

A. 0.2, 0.25, 0.2

B. the scores are a quarter of the whole

Answer:

so the three numbers can be turned into fractions.

1/5, 1/4, and 4/20.

fractions can be turned into decimals by dividing the denominator into the numerator.

now we have 0.2 , 0.25 , and 0.2

greatest to least, the numbers are 0.25 , 0.2 , and 0.2

(both 0.2s are equal, so order of those doesn't matter)

Step-by-step explanation:

⅕ of shots

Dwayne 25%

4 out 20

Write each score as decimal

Compare the three score.

The cumulative distribution function of x is 0.60.

Here X has discrete probability distribution.

\($$\begin{aligned}&\mathrm{P}(\mathrm{X}=1)=0.30 \\&P(X=3)=F(3)-F(1)=0.40-0.30=0.10 \\&P(X=4)=F(4)-F(3)=0.45-0.40=0.05 \\&P(X=6)=F(6)-F(4)=0.60-0.45=0.15 \\&P(X=12)=F(12)-F(6)=1-0.60=0.40\end{aligned}$$\)

Following table shows the pmf:

X P(X=x)

1 0.3

3 0.1

4 0.05

6 0.15

12 0.4

Following is the graph of CDF is [SEE in attachement]

\($P(3 \leq X \leq 6)=F(6)-F(1)=0.60-0.30=0.30$$P(X \geq 4)=1-F(3)=1-0.40=0.60$\)

The probability function that X will have a value less than or equal to x is known as the Cumulative Distribution Function (CDF) of a real-valued random variable X, evaluated at x. It is employed to describe a table's random variables' probability distribution.

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Answer:

20 dollars

Step-by-step explanation:

i am smart

Answer:

20$

Step-by-step explanation:

12÷3=4

1 watermelon=4$

5x4= 20$

Answer:

Area of the triangle = 19.8 = 20 sq. Units (approx.)

35/864 is the probability that the same color is recorded both times .

How does probability explain work?

7/12*1/2 = 7/24

red marbles =  5/12*1/3 ⇒ 5/36

the probability =  7/24*5/36 ⇒ 35/864

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The first six terms sequence the limit is 1.

To find the first six terms of the sequence defined by the formula aₙ = (3n - 1) / (2n + 1),substitute the values of n from 1 to 6 into the formula. calculate the values:

For n = 1:

a₁ = (3(1) - 1) / (2(1) + 1) = 2 / 3

For n = 2:

a₂ = (3(2) - 1) / (2(2) + 1) = 5 / 5 = 1

For n = 3:

a₃ = (3(3) - 1) / (2(3) + 1) = 8 / 7

For n = 4:

a₄ = (3(4) - 1) / (2(4) + 1) = 11 / 9

For n = 5:

a₅ = (3(5) - 1) / (2(5) + 1) = 14 / 11

For n = 6:

a₆ = (3(6) - 1) / (2(6) + 1) = 17 / 13

If the sequence appears to have a limit by observing the pattern of the terms.

The first six terms of the sequence are:

a₁ = 2/3,a₂ = 1,a₃ = 8/7,a₄ = 11/9,a₅ = 14/11,a₆ = 17/13.

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Answer:

1w+4o=5

Step-by-step explanation:

w=water o=orange juice there is 4 liters of orange juice

Answer:

80% juice : 20% water

x  : 1 liter

80 ÷ 20 = 4

1 liter x 4 = 4 liter

x = 4

Part a = x÷4 or x/4

Part b = 4 liter

Step-by-step explanation:

For all the angles, you will have to solve for x

A: 162 = 3x

162/3 = x

54 = x

M: 120 + 2x = 180

2x = 180 - 120

2x = 60

x = 60/2

x = 30

W: 150 = 30x

150/30 = x

5 = x

S: 20 + 2x = 90

2x = 90 - 20

x = 70/2

x = 35

Q : 45 + 5x = 90

5x = 90 - 45

x = 45/5

x = 9

P: not too sure if its 150,

150 + (x+5) = 180

x+5 = 180- 150

x = 30 - 5

x = 25

now you will put all the x values in order. ( i think thats what you supposed to do)

it will be: 5, 9, 25, 30, 35, 54

hope this helps♡♡♡

Answer:

Step-by-step explanation:

The highest power of v is the fourth, so this polynomial is of the 4th degree.

The coefficient of the leading coefficient is -18.

Answer:

Degree: 4

Leading coefficient: -18

Step-by-step explanation:

Answer:

The answer is x + 160 = 459

Step-by-step explanation:

You can find this answer by understanding what the variable is. Once you find that the rest is easy. You know that the cost of the peak II is $459. You also know that the peak II is $160 more than rider/variable so, 459 - 160 = 299

The answer is quite simply x=4

Dr. Hellsing is in the process of establishing a norm-referenced assessment.

Norm-referenced assessment is a method that evaluates an individual's aptitude in comparison with the outputs of a larger, representative sample of test takers from the corresponding population. This technique ranks persons on a scale relative to each other instead of objectively evaluating their actual abilities.

Therefore, by giving the exam to a significant group of high school graduates, Dr. Hellsing will be able to generate standards to interpret separate test scores and equate them to the outcome of others in the same demographic.

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Answer:

\(x_1=5,\\x_2=2\)

Step-by-step explanation:

Problem 1:

The angles \(\angle 3\) and \(\angle 7\) are corresponding, and thus are equal to each other. We can then set up the following equation:

\(5x+2=27,\\5x=25,\\x=\fbox{$5$}\).

Problem 2:

The angles \(\angle 6\) and \(\angle 4\) are supplementary, meaning they add up to \(180^{\circ}\). Therefore, we have the following equation:

\(18x+144=180,\\18x+36,\\x=\fbox{$2$}\).

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))

The population mean is not equal to 72 at a 10% significance level.

a) The standard error of the mean is given by the formula:

SE = σ/√n

where σ is the population standard deviation, n is the sample size. Since the population standard deviation is not known, we use the sample standard deviation as an estimate. Therefore,

SE = s/√n = 1.3/√76 ≈ 0.149

b) We need to find the critical value of t* with 75 degrees of freedom (df = n-1) and a 90% confidence level. Using a t-table or calculator, we find that the critical value is approximately t* = ±1.663.

c) To construct the 90% confidence interval, we use the formula:

CI = X ± t*(SE)

where X is the sample mean, t* is the critical value, and SE is the standard error of the mean. Substituting the values, we get:

CI = 77 ± 1.663(0.149) = (76.739, 77.261)

Therefore, we are 90% confident that the true population mean μ lies within the interval (76.739, 77.261).

d) To test the hypothesis at α=0.100, we compare the confidence interval with the null hypothesis. If the null hypothesis falls outside the confidence interval, we reject it at the given level of significance.

Since 72 is not within the confidence interval of (76.739, 77.261), we can reject the null hypothesis at α=0.100. This means we have sufficient evidence to conclude that the population mean is not equal to 72 at a 10% significance level.

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Answer:

Step-by-step explanation:

29,484

4, Does not round

the second 4, rounds to 5 because of the 8,

then The 9 would round and be 30

if its a decimal then it would be 30.0

if not then i think it would be 30,500 or 29,500 if we were to stop at the 9 and not round it