What is the increasing and decreasing?!?!?!?!?!?!?!??!?!?!?!?!?!

The point where the two lines intersect is (3, -3), so the correct graph is the one showing two lines intersecting at (3, -3). Therefore, the answer is the third graph.

What is Equation ?

In mathematics, an equation is a statement that asserts the equality of two expressions, which are usually denoted by variables. An equation typically contains one or more variables, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation.

To solve the system of equations graphically, we can plot both lines on the same coordinate axes and find the point of intersection, which represents the solution to the system.

First, let's rewrite the equations in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept:

2x + y = 3 --> y = -2x + 3

3y = x - 12 --> y = (1/3)x - 4

Now we can plot these lines on the same graph:

The point where the two lines intersect is (3, -3), so the correct graph is the one showing two lines intersecting at (3, -3). Therefore, the answer is the third graph.

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The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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The goal of the "Requirements Gathering" phase of an SDLC is to produce a list of requirements for a new or revised information system.

What is SDLC?

SDLC stands for Software Development Life Cycle. It is a systematic approach or framework used in software development projects to guide the development process from initiation to deployment and maintenance.

During the Requirements Gathering phase of the SDLC, the primary objective is to gather and document all the necessary information regarding the desired functionalities, features, and specifications of the new or revised information system. This phase involves close collaboration between stakeholders, including business analysts, system analysts, project managers, and end-users.

The process typically begins with conducting interviews and meetings with stakeholders to understand their needs, expectations, and goals for the system. This can involve discussions with managers, users, subject matter experts, and other individuals who will be affected by the system. Various techniques such as questionnaires, surveys, and brainstorming sessions may be employed to gather comprehensive requirements.

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The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

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Based on his score last week and his score this week, we can say that Jacob increased his score by 180%

Jacob scored 25 in his test last week and then this week scored 70.

The increase can be found as:

= (New score - Old score) / Old score x 100%

Solving gives:

= (70 - 25) / 25 x 100%

= 180%

In conclusion, Jacob increased by 180%

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Step-by-step explanation:

So in order to get the area of the shaded region, we must make an expression for the large rectangle, make one for the small rectangle, subtract those, and then simplify if needed.

Since area is length x width, we can make our expressions

Big rectangle

(x + 10)(2x+5)

Small square

(x+1)(x+1) also known as (x+1)^2

Now to subtract

\((x + 10)(2x + 5) - (x + 1)(x + 1)\)

We can work out both expressions

\((2 {x}^{2} + 5x + 20x + 50) - ( {x}^{2} + 2x + 1)\)

Last but not least, subtract the terms

\( {x}^{2} - 23x + 49\)

... I think

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

Step-by-step explanation:

Perimeter formula given

Statements to confirm

A. The variable 2 is being multiplied by (l + w)

B. There are two variables in the expression l and w.

C. (l + w) represents the product of two terms: l and w.

D. The expression is the quotient of two factors: 2 and (l + w).

Answer:

B

Step-by-step explanation:

A. The variable 2 is being multiplied by (l + w).

FALSE because "2" isn't a variable.

B. There are two variables in the expression l and w.

TRUE because variables are any letters. In this case, the letters are w and l.

C. (l + w) represents the product of two terms: l and w.

FALSE because product means multiplication when we are adding.

D. The expression is the quotient of two factors: 2 and (l + w).

FALSE quotient means divide when we are multiplying.

Best of Luck!

The solution to the initial value problem is:

y(t) = -(3/16)g(t) cos(t) + (1/4)g(t) sin(t)

The given initial value problem is a second-order linear ordinary differential equation with constant coefficients. The general solution of the homogeneous equation y'' + y' + 5/4y = 0 is given by:

r^2 + r + 5/4 = 0

Using the quadratic formula, we get:

r = (-1 ± √(1 - 5))/2 = -1/2 ± i√(3)/2

Thus, the general solution of the homogeneous equation is:

y_h(t) = c1e^(-t/2)cos(√(3)t/2) + c2e^(-t/2)sin(√(3)t/2)

To find the particular solution of the nonhomogeneous equation, we need to find a particular solution of the form y_p(t) = A cos(t) + B sin(t), where A and B are constants to be determined. Taking the first and second derivatives of y_p(t), we get:

y_p'(t) = -A sin(t) + B cos(t)

y_p''(t) = -A cos(t) - B sin(t)

Substituting y_p(t), y_p'(t), and y_p''(t) into the non-homogeneous equation, we get:

(-A cos(t) - B sin(t)) + (-A sin(t) + B cos(t)) + 5/4(A cos(t) + B sin(t)) = g(t)

Simplifying and matching the coefficients of cos(t) and sin(t), we get:

(3/4)A + B = g(t)

-A + (3/4)B = 0

Solving these equations for A and B, we get:

A = -3/16 g(t)

B = 1/4 g(t)

Therefore, the particular solution of the nonhomogeneous equation is:

y_p(t) = (-3/16)g(t) cos(t) + (1/4)g(t) sin(t)

The general solution of the nonhomogeneous equation is the sum of the homogeneous and particular solutions:

y(t) = y_h(t) + y_p(t)

= c1e^(-t/2)cos(√(3)t/2) + c2e^(-t/2)sin(√(3)t/2) - (3/16)g(t) cos(t) + (1/4)g(t) sin(t)

Using the initial conditions y(0) = 0 and y'(0) = 0, we get:

c1 = 0

c2 = 0

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To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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Answer:

70 degrees total degree 540

The total charges of both companies is the same at 24 months.

We have:

Company one:

This means that:

y = 20 + 25x + 40x

y = 20 + 65x

Company two:

This means that:

y = 30 + 700 + 35x

y =  730 + 35x

See attachment

On the attached graph, the point of intersection is at

(x, y) = (24, 1558)

This means that the total charges of both companies is the same at 24 months.

On the long run, phone company two has a better deal.

On the short run, phone company one has a better deal.

Because the function have lesser values after the point of intersection.

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A relation's origin is represented as an ordered pair.

(-5, -2), (-4, -4), (-3, 4), (-2, 2), (2, -2) are all ordered pairs that reflect the same function (4, 3)

A composite of the x coordinate and the y coordinate, an ordered pair has two values that are stated in a defined order between parenthesis. In order to have a better understanding of what is being shown on the screen, it is helpful to identify a point on the Cartesian plane.

Either of the following conditions must be true for an ordered pair to constitute a function:

Every x-value has precisely one matching y-value, or "one-to-one."

This is a many-to-one relationship, meaning that several x-values map to the same set of y-values.

The ordered pair is not a function if and only if both of the following are false

A one-to-many relationship means that for every x-value, there may be many y-values.

Many x-values map to many y-values; the relationship is many-to-many.

Only the ordered pair (5, -2) meets the criteria for a function out of the possibilities (5, -4), (3, 4), (2, -2), (4, 3), and (-4, -2).

This is because no x-values in its range have more than one associated y-value.

One-to-many and many-to-many ordered pairings make up the rest of the set.

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CQ

Which graph shows a set of ordered pairs that represents a function? On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3). On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1). Mark this and return

Answer: 16.1 kilometers

Step-by-step explanation:

He drove a total of 10 miles, 1 mile=1.61 kilometers

1.61 kilometers x 10 = 16.1 kilometers

Answer:

16.1

Step-by-step explanation:

I got it correct

the largest possible δ dependent on ϵ such that lim(x→8)2x−7=9 is δ = ϵ/2.

The precise definition of a limit states that for a given ϵ > 0, there exists a δ > 0 such that if 0 < |x - 8| < δ, then |2x - 7 - 9| < ϵ.

Let's work on the inequality |2x - 7 - 9| < ϵ:

|2x - 16| < ϵ

2|x - 8| < ϵ

|x - 8| < ϵ/2

From this inequality, we can see that for any given ϵ > 0, if we choose δ = ϵ/2, then the condition |x - 8| < δ will imply |2x - 7 - 9| < ϵ.

Therefore, the largest possible δ dependent on ϵ is δ = ϵ/2.

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Answer:

17+6i

-----------

25

Step-by-step explanation:

2+3i

---------

4+3i

We want to multiply by the complex conjugate of the denominator

4+3i has a complex conjugate of 4-3i

2+3i             4-3i

--------- * --------------

4+3i           4-3i

Lets multiply the numerator

(2+3i) ( 4-3i)

2*4 +4*3i -3i*2 - 3i*3i =

8 +12i -6i - 9i^2

Remember i^2 = -1

8 +6i -9(-1)

17 +6i

Lets multiply the denominator

(4+3i) ( 4-3i)

4*4 +4*3i -3i*4 - 3i*3i =

16 +12i -12i - 9i^2

Remember i^2 = -1

16 -9(-1)

25

Putting numerator over denominator

17+6i

-----------

25

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

i is called the imaginary number.

i = √-1

The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3i (4 - 3i) - i(2 + 1)

i is called the imaginary number.

i = √-1

Remove the parenthesis.

3i x 4 - 3i x 3i - i x 2 - i x 1

12i - 9i² - 2i - i

[ i² = -1 ]

12i + 9 - 2i - i

Add like terms

12i + 9 - 3i

9i + 9

Thus,

The final expression of 3i (4 - 3i) - i(2 + 1) after simplification is 9i + 9.

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Answer:

3 x y (y + x)

Step-by-step explanation:

Factor the following:

(y + x)^3 - (y^3 + x^3)

Factor the sum of two cubes. y^3 + x^3 = (y + x) (y^2 - x y + x^2):

(y + x)^3 - ((y + x) (y^2 - x y + x^2))

Factor y + x out of (y + x)^3 - (y + x) (y^2 - x y + x^2), resulting in (y + x) ((y + x)^(3 - 1) - (y^2 - x y + x^2)):

(y + x) ((y + x)^(3 - 1) - (y^2 - x y + x^2))

3 - 1 = 2:

(y + x) ((y + x)^2 - (y^2 - x y + x^2))

(y + x) (y + x) = (x) (x) + (x) (y) + (y) (x) + (y) (y) = x^2 + x y + x y + y^2 = y^2 + 2 x y + x^2:

(y + x) ((y^2 + 2 x y + x^2) - (y^2 - x y + x^2))

-(y^2 - x y + x^2) = -y^2 + x y - x^2:

(y + x) (x^2 + 2 x y + y^2 + (-y^2 + x y - x^2))

Grouping like terms, y^2 - y^2 + 2 x y + x y + x^2 - x^2 = (2 x y + x y) + (y^2 - y^2) + (x^2 - x^2):

((2 x y + x y) + (y^2 - y^2) + (x^2 - x^2)) (y + x)

x y 2 + x y = x y×3:

(3 x y + (y^2 - y^2) + (x^2 - x^2)) (y + x)

y^2 - y^2 = 0:

(3 x y + (x^2 - x^2)) (y + x)

x^2 - x^2 = 0:

Answer: 3 x y (y + x)

The value of this stock, assuming a required return of 10.50%, is approximately $81.90. None of the given options match this value.

To compute the value of the stock, we can use the dividend discount model (DDM) formula. The DDM formula states that the value of a stock is equal to the present value of its future dividends.
Using the formula, we can calculate the present value of the dividends as follows:
PV(dividends) = D1 / (1 + r) + D2 / (1 + r)^2
where D1 is the dividend to be paid next year, D2 is the dividend to be paid in two years, r is the required return.
Given:
D1 = $6.69
D2 = $7.02
r = 10.50% or 0.105

Plugging in these values into the formula:
PV(dividends) = $6.69 / (1 + 0.105) + $7.02 / (1 + 0.105)^2
PV(dividends) = $6.05 + $6.11
PV(dividends) = $12.16
Finally, to compute the value of the stock, we add the present value of the dividends to the future target price of the stock in two years:
Value of stock = PV(dividends) + Future target price
Value of stock = $12.16 + $69.74
Value of stock = $81.90
Therefore, the value of this stock, assuming a required return of 10.50%, is approximately $81.90. None of the given options match this value.

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Answer:

w = 19 or w = -13

Step-by-step explanation:

Solve for w over the real numbers:

abs(w - 3) + 8 = 24

Hint: | Isolate terms with w to the left hand side.

Subtract 8 from both sides:

abs(w - 3) = 16

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

w - 3 = 16 or w - 3 = -16

Hint: | Look at the first equation: Solve for w.

Add 3 to both sides:

w = 19 or w - 3 = -16

Hint: | Look at the second equation: Solve for w.

Add 3 to both sides:

Answer: w = 19 or w = -13

Step-by-step explanation:

10 + 3x = 30 + 7x

collect terms that look alike on one side.

we can see that 3x & 7x have something in common which is x.

so move one of these to either of the equality's sides.

0 = 30 + 7x -10 - 3x

i changed the sign of 3x to -3x & 10 to -10 because we'll have to subtract 3x or 10 from the left side inorder for them to vanish & appear on the right hand side.

collect like terms.

0 = 30 - 10 + 7x - 3x

0 = 20 + 4x

take 20 to the left side to find x by dividing by 4.

20 = 4x

20 / 4 = x

5 = x

Answer:

-5x²y²z + 7xy - x²y²z - 5xy

Step-by-step explanation:

Answer:

(2.) V = 1,536\(\pi\) mm^3; (3.) V = 1,943.9 mm^3

Step-by-step explanation:

The formula for volume of a cylinder is V = \(\pi r^{2}h\)

For Problem 2, we have V = \(\pi * 8^{2} * 24\)

V = 1,536\(\pi\) mm^3

For Problem 3, we have V = \(\pi\) * \((\frac{15}{2})^{2}\) * 11

V = 1,943.86 = 1,943.9 mm^3

Answer:

False

Step-by-step explanation:

68% falls between the first standard deviation from the mean.

plus minus two would fall under 95%

Answer:

27,804

Step-by-step explanation:

28x993= 27,804

Answer:

4 & 5

Step-by-step explanation:

4 x 4 =16

5 x 5 =25

Answer:

12

Step-by-step explanation:

Answer:  71/7

Step-by-step explanation:

No picture is provided so I am assuming that BD is an angle bisector.

1. ∠ABD=10x-7, ∠DBC=3x+5           Given

2. ∠ABD = ∠DBC                             Definition of angle bisector

3. 10x-7 = 3x+5                                Substitution

4. 7x - 7 = 5                                      Subtraction Property of Equality

5. 7x = 12                                          Addition Property of Equality

6. x = 12/7                                         Division Property of Equality

7. ∠ABD = 10(12/7) - 7                      Substitution

8. ∠ABD = 71/7                                 Adding like terms

Answer:

-18

Step-by-step explanation:

\(\frac{2}{3}n=-12 \\ \\ \frac{3}{2} \cdot \frac{2}{3}n=\frac{3}{2}(-12) \\ \\ n=-18\)

Katie will pay $1.10 for shipping and handling.

The cost of shipping refers to the amount of money that is charged for the transportation of goods or products from one location to another.

To calculate how much Katie will pay for shipping and handling, we first need to find 10% of $11.

To do this, we multiply $11 by 0.10 (which is the decimal equivalent of 10%).

$11 x 0.10 = $1.10

Therefore, Katie will pay $1.10 for shipping and handling on top of the $11 she paid for the set of spoons.

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The insertion sort algorithm will make a total of 10 comparisons to sort the list [4, 5, 1, 2, 3] by comparing each element with the elements on its left side to find its correct position.

To sort the list [4, 5, 1, 2, 3] using insertion sort, we count the number of comparisons made during the sorting process.

In insertion sort, each element is compared with the elements on its left side to find its correct position in the sorted portion of the list.

1. Initially, the first element 4 is considered sorted.

2. The second element 5 is compared with 4. (1 comparison)

3. The third element 1 is compared with 5 and then with 4. (2 comparisons)

4. The fourth element 2 is compared with 5, 4, and 1. (3 comparisons)

5. The fifth element 3 is compared with 5, 4, 2, and 1. (4 comparisons)

Therefore, the insertion sort will make a total of 1 + 2 + 3 + 4 = 10 comparisons to sort the given list [4, 5, 1, 2, 3].

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