Systems of equations with different slopes and different y-intercepts have one solution?​

The range of |f(x)| is [0, 9].

We are given that the range of the function f is [−2, 9]. We are required to find the range of |f(x)|.

Range of a function is defined as the set of all output values (y-values) that a function can produce. It is also called the codomain of the function.

The absolute value of a number is always positive or zero. Therefore, if the function has any negative values in the range, the absolute value of those negative values will be positive and their range will be the same as the positive range.

Therefore, the range of |f(x)| will be [0, 9]. This means that the range of |f(x)| is [0, 9] and is expressed in the interval notation as follows: [0,9].

Therefore, the range of |f(x)| is [0, 9].

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Answer:

vertex is (6, -11)

Step-by-step explanation:

Given equation
f(x) = x² - 12x + 25

is that of an upward-facing parabola(since the coefficient of x² is positive).

The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x

f'(x) = d/dx(x² - 12x + 25)

= 2x - 12

f'(x) = 0 ==> 2x - 12 = 0

2x = 12

x = 6

Substitute x = 6 in f(x) to get

f(6) = 6² - 12(6) + 25

= 36 - 72 + 25

= -11

So the vertex is at (6, -11)

The choice of method to the solution of the \pair of equations is substitution method.

In a pair of equations, we can use substitution method or any other method to solve the equations.

The given pair of equations is

y=-x+5 and

y=-x+3

The first thing is to write the two equations where the constant stays at the right hand side and the two variables stay at the left hand side tyo give

y+x = 5 and

y+x=3

Then we use substitution method to solve for x and y

In this case, make x the subject of the relation in equation 1

x=5-y

Then substitute x=5-y in equation 2

That is 2y = 5

then y = 2.2

Sibstitute y=2.2 in equation  to get x=5-2.2

Therefore the value of x=2.8

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Interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

Higher Placement The College Board's Advanced Placement Program makes a college-level course and exam in United States Government and Politics available to high school students.

By organizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues, interest groups enable citizen participation in governance.

a group of individuals united by a shared interest or objective and working to sway public policy. group leaders. As adolescents gain knowledge, they frequently form their own groups. government.

Therefore, interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

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Answer:

Step-by-step explanation:

Remark

This might be easier if you put this into your calculator this way.

40/0.5 + 15

When you do, you get 80 + 15 = 95

The measure of  each exterior angle of a regular 67-gon is 5.73

Given that,

Based on the above information, the calculation is as follows:

\(= 360\div 67\)

= 5.73

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Answer:

A. (8,14)

Step-by-step explanation:

When looking at the chart pairs there is no other matching option than (8,14).

You have to look in at each column to see the pairs (ex. 8,16 and 4,10).

Answer:

24

Step-by-step explanation:

multiply 8 by 3

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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Answer: V≈116.19

Click the link and it will show you how you find your answer

So the reason for the discrepancy between the calculated result and the result obtained by hand is due to how the remainder is being handled.

By hand, the remainder is kept as a separate value, whereas a calculator may display the result as a decimal instead of showing the remainder.

When dividing 587 by 187 by hand, the result would indeed be 0 with a remainder of 16:

3 | 5 8 7

  - 5 6 1

  -------

    2 7 6

    2 8 1

    -----

      9 6

Therefore, the quotient is 0 with a remainder of 16, which can also be written as 0.085 by dividing the remainder (16) by the divisor (187).

However, when using a calculator, it may display the result as a decimal instead of showing the remainder. In this case, the calculator would compute 587 divided by 187 as 3.136, which can be rounded to 0.357 if the result is being displayed to three decimal places.

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The value of F(3) -F(0). d) In which area is the probability of entering F (3) -F (0) is "0 ≤ X < 3".

a) The function of distribution by regions is:

For x < -4: F(x) = 0

For -4 ≤ x < -2: F(x) = 0.2

For -2 ≤ x < 0: F(x) = 0.2 + 0.1 = 0.3

For 0 ≤ x < 1: F(x) = 0.3 + 0.25 = 0.55

For 1 ≤ x < 3: F(x) = 0.55 + 0.2 = 0.75

For 3 ≤ x < 5: F(x) = 0.75 + 0.2 = 0.95

For x ≥ 5: F(x) = 1

b) Expressing the result obtained as  F(x) =:

F(x) = {0, x < -4

0.2, -4 ≤ x < -2

0.3, -2 ≤ x < 0

0.55, 0 ≤ x < 1

0.75, 1 ≤ x < 3

0.95, 3 ≤ x < 5

1, x ≥ 5

c) F(3) - F(0) = 0.95 - 0.55 = 0.4

d) The probability of entering F(3) - F(0) is the probability of the random variable falling between 0 and 3. This can be expressed as:

P(0 ≤ X < 3) = F(3) - F(0) = 0.4

Therefore, the answer is "0 ≤ X < 3".

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Answer:

21 cm

Step-by-step explanation:

To find the radius, half the diameter (42cm)

hope this helps :)

Answer:

.

Step-by-step explanation:

Answer:

I'm pretty sure it's c.

Step-by-step explanation:

40 times 5.5 is 220. +5 would be 225.

50 times 5.5 is 275. +5 iss 280

a]Cannot occur due to violation of baryon number conservation, b] Can occur,  c] Can occur, d] Can occur but violates lepton number conservation, e] Can occur and f] Cannot o cur due to violation of charge and baryon number conservations.

The answer are as follows-  a) This reaction can occur as it conserves charge, baryon number, and lepton number.

b) This reaction cannot occur as it violates conservation of charge. The right side has one more positive charge than the left side.

c) This reaction cannot occur as it violates conservation of charge. The left side has zero charge while the right side has one positive charge.

d) This reaction can occur as it conserves charge and lepton number. However, it violates conservation of baryon number as the left side has a baryon number of one while the right side has a baryon number of zero.

e) This reaction can occur as it conserves charge, lepton number, and baryon number.

f) This reaction cannot occur as it violates conservation of charge. The left side has a positive charge while the right side has a neutral charge.

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Answer: (8,10)

Step-by-step explanation:

To go from A to C, we go right 2 units and up 6 units.

So, if we let the fourth vertex be D, then to go from B to D, we must also go right 2 units and up 6 units from B.

Therefore, the answer is (8, 10).

According to the question The equilibrium constant \((K_{eq})\) relates the concentrations of reactants and products \(K_{eq} \ for\ 2AB \rightleftharpoons 2A + 2B \ is\ 49.\)This indicates that the equilibrium position favors formation of products.

The equilibrium constant \((K_{eq})\) relates the concentrations of reactants and products in a chemical reaction at equilibrium. In the given reaction,

\(A + B \rightleftharpoons AB, the\ K_{eq}\ is\ 7\).

When considering the reaction \(2AB \rightleftharpoons 2A + 2B\), the stoichiometric coefficients are doubled on both sides. According to the principles of equilibrium, the equilibrium constant for the modified reaction can be obtained by squaring the original \(K_{eq}\).

Therefore, the \(K_{eq}\) for \(2AB \rightleftharpoons 2A + 2B is (K_{eq})^2 = (7)^2 = 49\). This indicates that the equilibrium position favors the formation of products in the double reaction compared to the original reaction.

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Answer:

130 m

Step-by-step explanation:

See the attached, pleasantly presented, worksheet.

Answer:

  7

Step-by-step explanation:

You want the common difference of the arithmetic sequence that starts ...

  15, 22, 29, ...

The common difference is the difference between a term and the one before. It is "common" because the difference is the same for all successive term pairs.

  22 -15 = 7

  29 -22 = 7

The common difference is 7.

<95141404393>

Answer:

24 is gonna be the awnser

The surface area of the sphere is 5538.96 mm²

Given that a sphere has a dimeter of 42 mm, we need to find the surface area of the sphere,

You can use the following formula to determine a sphere's surface area:

Area of Surface = 4πr²

We can find the radius (r) by dividing the diameter by 2:

r = diameter / 2

r = 42 mm / 2

r = 21 mm

Now, we may change the radius value in the calculation to determine the surface area:

Area of Surface = 4π(21 mm)²

Surface Area = 4 × 3.14159 × (21 mm)²

Surface Area ≈ 4 × 3.14159 × 441 mm²

Surface Area ≈ 5,538.60394 mm²

Hence the surface area of the sphere is 5538.96 mm²

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Answer:

The first job pays more

Step-by-step explanation:

950 x 3 = One month pay = 2,850

2,859 x 12 = One year = 34,308 Per Year

Comparing them both

$45,000 One Year, First Job

$34,308 One Year, Second Job

Answer:

D. 2

Step-by-step explanation:

5(2x-6) + 20 = 10

10x - 30 + 20 = 10

10x - 10 = 10

10x = 20

x = 2

By applying the the FOIL method, which stands for First, Outer, Inner, Last  we obtained the result -84 + 80i for (4 + 10i)^2.

To calculate (4 + 10i)^2, we can:

First, we multiply the first terms of each binomial:

(4 + 10i) * (4 + 10i) = 16 + 40i

Next, we multiply the outer terms of each binomial:

(4 + 10i) * (4 + 10i) = 16 + 40i

Then, we multiply the inner terms of each binomial:

(4 + 10i) * (4 + 10i) = 16 + 40i

Finally, we multiply the last terms of each binomial:

(4 + 10i) * (4 + 10i) = 100i^2

We know that i^2 is equal to -1, so we can substitute that in:

100(-1) = -100

Putting it all together, we get:

(4 + 10i)^2 = 16 + 40i + 40i + (-100)

= -84+80i

Therefore, by applying this method for squaring a complex number, we obtained the result -84 + 80i for (4 + 10i)^2.

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Answer:

-4(y - 2) = 12

Standard form:

−4y − 4 = 0

Factorization:

−4(y + 1) = 0

Solutions:

y = −4

4

= −1

Step-by-step explanation:

Data mining methods grew out of three fields: statistics, machine learning, and artificial intelligence. We partition data into training and validation data sets randomly to ensure that the resulting models are unbiased and generalize well to new data.

If we were to partition the data in some other manner, we may introduce bias into the model and not have a true representation of its performance.

The essential steps for building a data mining model in the correct order are:

1. Data preparation: Collect and prepare the data for analysis, including cleaning, transforming, and selecting relevant variables.
2. Model selection: Choose the appropriate data mining technique and model to analyze the data.
3. Model building: Develop the model using the selected technique and algorithm.
4. Model evaluation: Test the model's performance on a validation data set and refine as necessary.
5. Deployment: Implement the model in a production environment for real-world use.

Other terms used for:
(a) Input variable: Predictor variable, independent variable, feature
(b) Target variable: Response variable, dependent variable, outcome variable
(c) Attribute: Feature, variable, column
(d) Row: Instance, observation, record

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Answer:

The profit that Jamal made was $61.50

Step-by-step explanation:

125.00-63.50= 61.50

Answer:

67−−√2

=8.18535277

divide by 2 until you get a number that ends. It may take a while but you will get the right answer. I'm not sure what your teachers standards are. My math teacher will have us write 2 numbers behind the decimal unless its repeated

Step-by-step explanation: