Which equation choice could represent the graph shown below?

The system that contains periodic function and an absolute value function has two solution

In the given system there are two function, those are periodic function and absolute value function

The function is defined as the statement that shows the relationship between one dependent variable and other independent variables. The function consist of different types of variables numbers and the mathematical operators

The periodic function is a function that repeats its value at a regular interval of time

The absolute value function is a function that contains the mathematical expression with absolute value symbols

The system contains periodic and absolute value function and it will contains two solution

Therefore, the system has two solution

I have solved the question in general, as the given question is incomplete

The complete question is:

The system below shows a periodic function and an absolute value function. how many solutions does the system have?

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Answer:

d>9

Step-by-step explanation:

You need to do inverse operations to isolate the variable (d)

3d-6>21

get ride of the six by doing its inverse. The opposite of subtraction is addition so you'd add 6 to both sides. this moves the six to the other side of the inequality sign

3d>27

now that the variable is isolated the final step is to divide by the coefficient (3). 3/3 is 1, effectively giving you d, and 27/3=9

d>9

in this case you do not flip the sign as you did not divide by a negative

There are 28 males and 11 females in the class.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Let the number of males be x and the number of females be y. We know that x = y + 17 and x + y = 39.

Substituting the first equation into the second equation, we get:

y + y + 17 = 39

2y + 17 = 39

2y = 22

y = 11

The number of females is 11, and the number of males is x = y + 17 = 11 + 17 = 28.

Hence, there are 28 males and 11 females in the class.

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By using the concept of algebraic expression, it can be concluded that

The expression will be equal for all real numbers except -6

First option is correct.

What is algebraic expression?

Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.

The given rational expression in simplified form is

[tex]\frac{(x-2)(x+6)}{7(x+6)} = \frac{x-2}{7}[/tex]

For x = -6, the denominator of the left hand side is zero

So the expression on the left hand side is undefined for x = -6

So the expression will be equal for all real numbers except -6

First option is correct.

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x     f(x)
0       0
-2      -4
4       -2
You need to draw y = 2 f (x-1)
So you need to choose x so that  x-1 = 0, -2, 4 then you can use the above values.
New function
x-1 = 0,              x = 1,           y = 2 f (x-1) = 2 f(0) = 2 x 0 = 0
x-1 = -2              x = -1           y = 2 f (x-1) = 2 f(-2) = 2 x -4 = -8
x-1 = 4               x = 5            y = 2 f (x-1) = 2 f (4) = 2 x -2 = -4
So 3 points on the new graph are   (1, 0)   (-1, -8) and (5, -4)
Basically going from y = f(x) to y = f(x-a) where a is a constant positive number you translate (move)  y = f(x)  a units to the right.
y = f(x) to y = 2 f(x),  you dilate f(x) with center (0,0) factor 2,  so  (a,b) > (2a, 2b)
So basically here you are doing both things.
So if (a,b) is on y = f(x) then after the translation (a,b) > (a+1, b) then after the dilation (a+1,b) > (2a+2, 2b).

what is graph?

A diagram or pictorial depiction of facts or values that is arranged might be referred to as a graph. The relationships between two or more items are frequently represented by the points on a graph.

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The number of miles that a signal sent from Station 1 to the satellite and then to Station 2 will have to travel is; 48135 miles

Let us first find the distance from Station 1 to the satellite:

Using trigonometric ratio, we have;

tan 8.7 = length of longest leg/length of shortest leg

Thus;

tan 8.7 =  3963/length of longest leg

Length of longest leg = 3963/tan8.7°

Length of longest leg = 3963/0.15302150298

Length of longest leg = 25,898 miles

Distance from Station 2 to satellite:

Using trigonometric ratio again, we have;

sin 8.7 = length of longest leg/ length of hypotenuse

sin  8.7 =  3963/length of hypotenuse

Length of hypotenuse =3963/ sin 8.7

Length of hypotenuse =3963/0.1526082024

Length of hypotenuse = 26, 200 miles

Thus, the difference is;

26200 - 3,963 = 22237 miles

Total distance will calculated as;

25898 miles  + 22237 miles = 48135 miles

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The complete question is:

A satellite orbiting the earth uses radar to communicate with two control stations on the earth's surface. The satellite's orbit maintains a 10-degree angle of separation between the two stations, as shown in the picture below. Knowing that the earth's radius is 3,963 miles.

How many miles will a signal sent from Station 1 to the satellite and then to Station 2 have to travel?

Answer:

To find the value of log1000, you can use the logarithmic property that states that log(a^b) = b * log(a). In this case, we can rewrite 1000 as 10^3, so log1000 = log(10^3) = 3 * log(10) = 3.

George Canter showed that, for any set a, we have |a|<|p(a)|. This is a well-known theorem of canter, known as the 'Canter's Theorem'.

Proving this theorem:                                              

Proof: At the first instance, we need to show that, A bar ≤P(A) bar, we will define the injection by  f:A→P(A) by: f(a)={a}. Let g be the contradiction.

We need to prove that there is no bijection  g:A→P(A).

Now, Let: S={a∈A:a∉g(a)}⊆A.}

In the present condition, there are two possibilities,  first, x∈S  and second, x∉S.

Therefore,

1. If x∈S, then x∉g(x)=S, i.e., x∉S, a contradiction.

2. If x∉S, then x∈g(x)=S, i.e., x∈S, a contradiction.

Thus, such a bijection, is not possible.

This theorem, coined by Canter, basically implies that there is no largest cardinal number present. There are 'n' number of cardinal numbers present, i.e., there are infinite number of cardinal numbers.

Now, suppose that, A is a set of all sets, this was proved by the continuum hypothesis.  But, the continuum hypothesis can't be proved. It can't be disproved also.

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The most appropriate test to use the given situation is option (B) two sample z test

Total number of alumni were surveyed = 1046

Number of alumni attempted at least one class reunion = 653

Similarly, in public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion.

The two sample z test is used to compare the means of two samples to see if it is feasible that they come from the same population.

The difference in the sample proportion is statistically significant

Therefore, the correct test for the situation is option (B) two sample z test

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Answer:

Step-by-step explanation:

Hello...

y=x-8

2x+y=-5 -> y=-2x-5

subsitution

-2x-5=x-8

3x=3

x=1

y=x-8

y=1-8

y=-7

(1,-7)

When testing individual cofficients of a Multiple regression model, i.e y = β + β₁x₁ + β₂x₂ + ---+βₖxₖ + ε where β , β₁ , --- , βₖ are regression cofficients

the sampling distribution is tested by hypothesis testing.

Testing the Regression Coefficients:

An individual regression coefficient, if we want to test if there is a relationship between the dependent variable and the independent variable.

for the test and identify the significance level α.

The p-value is the sum of the area in the tails of the t -distribution. The t-score and degrees of freedom are t , df = n−k−1

Compare the p-value to the significance level and state the outcome of the test:

The results of the sample data are significant. There is sufficient evidence to conclude that the null hypothesis H₀ is an incorrect belief and that the alternative hypothesis. Hₐ is most likely correct.

The results of the sample data are not significant. There is not sufficient evidence to conclude that the alternative hypothesis Hₐ may be correct.

Write down a concluding sentence specific to the context of the question.

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The minimum value, Q1, Median, Q3 and maximum value of the data are 2, 5, 12, 14 and 16 respectively

Given the data: 2, 4, 4, 5, 8, 10, 12, 12, 12, 13, 14, 14, 15, 16

The minimum value of the data is 2. Thus, Min = 2

The maximum value of the data is 16. Thus, Max = 16

The median is the data value in the middle.

2, 4, 4, 5, 8, 10, 12, 12, 12, 13, 14, 14, 15, 16

So the median (Q2) of the data is (12+12)/2 = 12. Thus, Med = 12

Consider the values to the left of the median with one of the median numbers included (since we have numbers in the middle):

2, 4, 4, 5, 8, 10, 12

Find the median of this set of numbers. The median is 5.  Q1 = 5

Also, consider the values to the right of the median with one of the median numbers included: 12, 12, 13, 14, 14, 15, 16. The median is 5. Q3 = 14

To create a box and whiskers plot use Min, Max, Q1, Median(Q2) and   Q3 (Check the attached image)

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The answer for this Simplifiction 4x3−12x24x2 7x−22x2−6x5x2 11x 2 using  BODMASS rule is -19316

=4*3-12*24*27*-22*2-6*5*211*2

=-19316

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Answer:

solve for N cause that is the only variable

Step-by-step explanation:

Answer:

Step-by-step explanation:

The fourth image because when looking for liner equations if you draw a line through them and it only touches once its linear equation!

sorry if im wrong...  

Answer:

(4) (-1,6)

Step-by-step explanation:

f(x) = x² - 3x + 4

1) (0,4) ==>x=0 and f(x)=4

4 = 0² - 3(0) + 4

4 = 0 + 4

4 = 4 ==> true X

2) (1.5,1.75)==> x=1.5 and f(x)=1.75

1.75 = (1.5)² - 3(1.5) + 4

1.75 = 2.25 - 4.5 + 4

1.75 = 2.25 - 0.5

1.75 = 1.75 ==> true  X

3) (5,14)

14 = (5)² - 3(5) + 4

14 = 25 - 15 + 4

14 = 10 + 4

14 = 14  ==> true X

4) (-1,6)

6 = (-1)² - 3(-1) + 4

6 = (|-1|)² - (-3) + 4  ==> the square of a negative number is equal to the square

                              of the absolute value of that number since the square of

                             a real number is always positive

6 = (1)²+ 3 + 4  ==> subtracting a negative number is equivalent to adding

                          the positive number

6 = 1 + 3 + 4

6 = 4 + 4

6 = 8  ==> false √√

Hence, the answer is (4) (-1,6).

Answer:

Domain:  (-∞, 1) ∪ (1, ∞)

Range:  (-∞, -2) ∪ (2, ∞)

Yes, it's a function.

Step-by-step explanation:

Information

The domain of a function is the set of all possible input values (x-values).

From inspection of the given graph:

Therefore, the domain is all values of x except x = 1:

The range of a function is the set of all possible output values (y-values).

From inspection of the given graph:

Therefore, the range is all values of y except between -2 and 2:

A function is a special type of relationship where each input (x-value) is related to exactly one output (y-value).

From inspection of the graph, as the two points where x = 1 are not included, each value in the range (y-values) corresponds to exactly one value in the domain, and so it is a one-to-one function.

The variable y takes the value -7 when we have x = -3.

Here we have the linear equation:

y = x - 4

We want to find the value of x such that y = -7, to get that, we only need to replace the variable y by the number -7 in the linear equation above:

-7 = x - 4

Now we can solve the linear equation for x.

-7 = x - 4

-7 + 4 = x

-3 = x

That is the solution.

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Answer:

1/4 as a percent is 25%

25% as a decimal is .25

Step-by-step explanation:

1/4 is one quarter, .25

25%, move the decimal to the left twice

25----> 2.5------> .25

Answer: D:22,

14,040-12,500=1540.  

1540/70 = 22

As the standard deviation for Sample Values and Population are different. The sample Standard Deviation is 5.196

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

Formula for standard deviation calculation is:

[tex]\sigma = \sqrt {\sum \frac {(X - \mu) ^ {2}}{N}}[/tex] (Population Standard Deviation)

[tex]s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}}[/tex] (Sample Standard Deviation)

[tex]\bar x= 19.1[/tex]

[tex]\sum {(X - \bar x) ^ {2}} = 162[/tex]

[tex]n-1 = 6[/tex]

[tex]s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}} = \sqrt {\frac {162}{6}}[/tex]

[tex]s= \sqrt 27[/tex]

[tex]s= 5.196[/tex]

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Answer:

Answer Option A: AA Postulate

Answer: T  = 1

Step-by-step explanation:

As 6/9 is equivalent to 2/3, then 1/1.5 is similar to 10/15, which is also 2/3

Answer:

t = 1

Step-by-step explanation:

Given equation,

→ (6/9) = (t/1.5)

Now the value of t will be,

→ (6/9) = (t/1.5)

→ (t/1.5) = (6/9)

→ t = (6/9) × 1.5

→ t = (6 × 1.5)/9

→ t = 9/9

→ [ t = 1 ]

Hence, the value of t is 1.

The Coefficient of xⁿ In the Expansion 1 / (1 + x + x²) is 1

A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression.

It is typically a number, but it can also be any expression. They may also be referred to as parameters

The coefficient is usually the number in front of the variable represent by an letter.

For the given problem the given letter is x and the coefficient is 1, a coefficient of 1 is most times not written and hence we know the coefficient is 1

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The range of the graph shown is

range { y | y < 0 }

When a figure is transported from one place to another without changing its size, shape, or orientation, a translation takes place.

All of a function's x-values, or inputs, make up the domain, and all of a function's y-values, or outputs, make up the range.

The graph's entire range, from lower to upper numbers vertically, represents the range.

The translation downwards, means that the graph moved down and considering the image of the attached graph, the effect of the translation means that the range to be numbers less than zero

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Answer:

-5/4

Step-by-step explanation:

To find the slope, we have to use this formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

in this case -2 is your first x

5 would be your first y

2 would be your second x

and 0 is your second y

so:

0 - 5

-------    = -5/4

2 - (-2)

a) With 98% confidence interval, the mean height of all college students is between 173.743 centimeters and 175.257 centimeters.

b) The possible size of our error if we estimate the mean height of all college students to be 174.5 centimeters is 0.976.

a) We want to construct a 98% confidence interval for the mean height of all college students.

Number of sample, n = 450

Mean, u = 174.5 centimeters

Standard deviation, s = 6.9 centimeters

For a confidence level of 98%, the corresponding z value is 2.33. This is determined from the normal distribution table.

We will apply the formula

Confidence interval = mean ± z × standard deviation/√n

It becomes

174.5 ± 2.33 × 6.9/√450

= 174.5 ± 2.33 × 0.325

= 174.5 ± 0.757

The lower end of the confidence interval is 174.5 - 0.757 =173.743

The upper end of the confidence interval is 174.5 + 0.757 =175.257

Therefore, with 98% confidence interval, the mean height of all college students is between 173.743 centimeters and 175.257 centimeters.

(b) The possible size of our error if we estimate the mean height of all college students to be 174.5 centimeters:

Thus, Error would be:

σ /√n

= 6.9/√50

= 0.976

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The probability that Lamar and Lawrence finish their jobs within 5 minutes of each other on a randomly selected day is 0.2892

Consider the time for the Lamar to finish the job as x and the time for the Lawrence to finish the job as x

Consider the random variable x-y

x-y normal with mean = 105 - 98

= 7

Similarly the variance of the random variable x-y

= 105 + 225

= 325

The standard deviation = [tex]\sqrt{325}[/tex]

= 18.03

Here we have to find the probability that Lamar and Lawrence  finish their jobs within 5 minutes of each other on a randomly selected day

P(|x-y|<5) = P(-5<U<5)

Now we have to convert to standard normal variate Z

Then the it will be

(-5-7)/18.03 = -0.67

(5-7) / (18.03)= 0.11

The probability of the given condition will be

P(-0.67<Z<0.11) = 0.2454 + 0.0438

Add the terms

= 0.2892

Therefore, the probability is 0.2892

The complete question is:

Lamar and Lawrence run a two-person lawn-care service. they have been caring for Mr. Johnson's very large lawn for several years, and they have found that the time it takes Lamar to mow the lawn itself is approximately normally distributed with a mean of 105 minutes and a standard deviation of 10 minutes. meanwhile, the time it takes for Lawrence to use the edger and string trimmer to attend to details is also normally distributed with a mean of 98 minutes and a standard deviation of 15 minutes. they prefer to finish their jobs within 5 minutes of each other. what is the probability that this happens, assuming their finish times are independent?

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Based on the permutation concept, the allowed final result is 20

Permutation method

In statistics, permutation means a mathematical calculation of the number of ways a particular set can be arranged.

Given

Here we need to find how many bit strings of length 5 do have 3 consecutive zeros such that the remaining two bits are not not equal.

Let us consider T denote the number of bit strings of length  containing 3 consecutive 0's.

Total no. of bit strings of length = 5

And the no. of bit strings of length  not containing 3 consecutive 0's = 3

Then the possible combination of permutation is calculated as,

=> T = 5!/3!

=> T = 20

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The time required = 4 hours

The time required by the car to move at a speed of 50 mph to reach a distance of 200 miles is 4 hours

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the distance traveled by the car be = D

Now , the speed S of the car = 40 miles per hour

The time required by the car to travel D distance is T = 5 hours

So , the Distance D is calculated from the formula

Distance D = Speed S x Time T

So , substituting the values in the equation , we get

Distance D = 40 x 5

Distance D = 200 miles

Now , the distance traveled by the car remains the constant

The speed of the car is S = 50 miles per hour

And let the time taken by the car to cover 200 miles at 50 mph be = T

Now to calculate Time T ,

Time T = Distance D / Speed S

Substituting the values in the equation , we get

Time T = 200 / 50

Time T = 4 hours

Therefore , the value of T is 4 hours

Hence , The time required by the car to move at a speed of 50 mph to reach a distance of 200 miles is 4 hours

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