Simplify the expression (2x-9)(x+6)

The yield of stock at yesterday's closing price is 3.43%.

Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.

Given,

Annual dividend = $1.20

Today's closing price = $34.50

Net change = -$0.50

Let x be yesterday's closing price.

Net change = Today's closing price - yesterday's closing price

⇒ -0.50 = 34.50 - x

⇒ x = 34.50 + 0.50

⇒ x = 35

Yield = \(\frac{Annual dividend}{Price}\) × 100

         = \(\frac{1.2}{35}\) × 100

         = 3.4286 % ≈ 3.43 %

Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.

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The exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

from the question:

This is the shape of the exponential function:

f(x) = a *\(b^x\)

where a represents the starting point and b represents the exponential function's base.

We must solve the system of equations to determine the values of a and b that meet the requirements:

a * \(b^(-1)\) = 2/5 (equation 1) 

a *\(b^3\)= 250 (equation 2) 

We can solve for an in equation 1 by multiplying both sides by b:

a = (2/5) * b

Substituting this expression into equation 2, we get:

(2/5) * b *\(b^3\) = 250

Simplifying, we get:

\(b^4 = 3125\)

By combining the fourth roots from both sides, we arrive at:

b = 5

When we use the expression we discovered for a and this value of b, we get:

a = (2/5) * 5 = 2

As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:

\(f(x) = 2 * 5^x\)

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When a 10% increase in income causes a 4% increase in quantity demanded of a good is income inelastic.

More specifically, the income elasticity of demand is calculated as the percentage change in quantity demanded divided by the percentage change in income. In this case, we have:

Income elasticity of demand = (% change in quantity demanded) / (% change in income)

= 4% / 10%

= 0.4

Since the income elasticity of demand is less than one, we say that the good is income inelastic. we can say that the income elasticity of demand for the good is positive and less than one. This means that the quantity demanded of the good does not increase proportionally as income increases. Instead, the increase in quantity demanded is less than the increase in income.

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A pattern of increases and decreases that repeats itself over fixed intervals in time-series data is known as a cyclical effect. Cyclical patterns are a type of time-series patterns that are common in economics and finance. This pattern is often referred to as the business cycle, which typically spans several years and includes peaks, recessions, troughs, and expansions.

Cyclical fluctuations in economic activity are the result of changes in supply and demand for goods and services over time.Cyclical movements are caused by fluctuations in aggregate demand and supply. These movements are repetitive and usually last between 2 and 10 years. Cyclical movements in economic activity can be measured by observing changes in the gross domestic product (GDP) of an economy over time.In summary, a cyclical effect is a time-series pattern that repeats itself over fixed intervals, and it is caused by changes in supply and demand for goods and services over time. Cyclical movements in economic activity can be measured by observing changes in the gross domestic product (GDP) of an economy over time.

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Answer:

Step-by-step explanation:

If Farmer Cora has a total of 128 onions and wants to place an equal number in each bags then, seeing since he has not decided on the amount of bags, he has the following options

128 onions in 1 Bag

64 onions in 2 Bag

32 onions in 4 Bag

16 onions in 8 Bag

8 onions in 16 Bag

4 onions in 32 Bag

2 onions in 64 Bag

1 onion in 128 Bag

Any of the above options will make each bag have an equal number of onions.

Answer:

2>0                5>-18

Step-by-step explanation:

The differential equation is dy/dx = 3c1x^2 + c2.

The differential equation that has y = c1x^3 + c2x as its general solution can be derived by taking the derivative of the general solution and setting it equal to the appropriate expression.

Differentiating y = c1x^3 + c2x with respect to x, we get:

dy/dx = 3c1x^2 + c2

Now, we need to find the differential equation that represents this derivative.

Since the derivative of y with respect to x is involved, the differential equation will be of the form dy/dx = f(x), where f(x) represents the function on the right-hand side.

Comparing the derived derivative with dy/dx = f(x), we can equate the corresponding terms:

3c1x^2 + c2 = f(x)

Therefore, the differential equation is dy/dx = 3c1x^2 + c2.

c1 and c2 are constants representing arbitrary parameters in the general solution.

The specific values of c1 and c2 can be determined by initial or boundary conditions provided in a specific problem scenario.

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Answer:

x = 1

y = 2

Step-by-step explanation:

substitution method:

y = x+1

2(x+1) = 5 - x

2x + 2 = 5 - x

3x = 3

x = 1

find 'y':

y = 1+1

y = 2

There are no values less than 30 or greater than 70 in the dataset, there are no outliers for the age-group 40 years to 50 years using this method.

To identify outliers for the age-group 40 years to 50 years, we need to use a statistical method called the interquartile range (IQR). The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). Any data point that is more than 1.5 times the IQR below Q1 or above Q3 is considered an outlier.
Assuming we have a dataset for the age-group 40 years to 50 years, we first need to find Q1, Q3, and the IQR. Let's say the dataset is {42, 44, 45, 47, 48, 50, 52, 55, 58, 60}. To find Q1, we need to find the median of the lower half of the dataset. In this case, the lower half is {42, 44, 45, 47, 48}. The median of this set is 45. To find Q3, we need to find the median of the upper half of the dataset. In this case, the upper half is {50, 52, 55, 58, 60}. The median of this set is 55. Therefore, Q1 = 45 and Q3 = 55. The IQR is Q3 - Q1 = 55 - 45 = 10.
Now, we can identify outliers. Any data point that is more than 1.5 times the IQR below Q1 or above Q3 is considered an outlier. In this case, any value less than 30 or greater than 70 would be considered an outlier. Since there are no values less than 30 or greater than 70 in the dataset, there are no outliers for the age-group 40 years to 50 years using this method.

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The middle term of a quadratic trinomial is positive, then the sum of the factors for the middle term must be negative.

In a quadratic trinomial in the form  \(ax^2 + bx + c\), the middle term is represented by bx. When the middle term is positive, it means that b (the coefficient of x) is positive. To factor the quadratic trinomial, to find two numbers that multiply to b and add up to the coefficient of the middle term.

Since b is positive, the two factors must have the same sign (both positive or both negative) to add up to a positive value. However, the middle term itself is positive, indicating that the two factors add up to a positive value.

Hence, both factors must be negative so that their sum is positive.

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To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.

To find a quadratic equation with the y-intercept and vertex, we can follow these steps:

For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:

3 = a(0)^2 + b(0) + c

1 = a(-2)^2 + b(-2) + c

Simplifying these equations, we get:

c = 3

4a - 2b + c = 1

By substituting c = 3 into the second equation, we can solve for a and b:

4a - 2b + 3 = 1

4a - 2b = -2

2a - b = -1

By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:

y = x^2 + x + 3

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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.

Example:

Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).

To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.

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Answer:

You can always compare to cost together but the big thing to look for is that you could be spending less for more on a product or the other way around, spending more for less product. you always want to go with the product that you are spending less money to get more product out of it.

Step-by-step explanation:

for example, say you are buying a pack of pencils, there is a pack of

10 pencils for 5 dollars

and

50 pencils for 10 dollarsthan

you would want to buy the second pack of pencils because you are getting each pencil for 50 cents rather than 2 dollars for each pencil in the first pack.

Answer:Sample Response: First find the unit price for each. Then compare the unit prices. The item that has the lesser unit cost is the better buy.

Step-by-step explanation:Pls mrk me as brainliest need award

Answer:

Do you like having a pet? - statistcal question

Step-by-step explanation:

^^^^

Answer:

The answer is x=26

Step-by-step explanation:

8x-71=5x+7 (because they are congruent you make them equal each other)

Add 71 to both sides

8x=5x+78

subtract 5x

3x=78

divide 3 from both sides

x=26

If a group of 5 adults and 8 children, went for a ride of the Ferris wheel, and if the ticket cost $1 per person, irrespective of age, then total cost of tickets for the whole group will be $13.

As per the question statement, a group of 5 adults and 8 children, went for a ride of the Ferris wheel and the ticket costed $1 per person, irrespective of age.

We are required to calculate the total cost of tickets for the whole group.

Since the ticket cost was same for persons of all ages, therefore, total members of the group who wanted to ride the Ferris wheel was

(8 + 5) = 13.

As per the Unitary method, we have to calculate the value of 13 tickets from the data on the value of a single ticket provided to us in the question statement, i.e., we simply need to multiply the number of tickets with the cost of a single ticket to obtain our desired answer.

Therefore, cost of 13 tickets with each ticket costing $1 is \((13*1)=13\) Dollars.

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Answer:

6

Step-by-step explanation:

forty-two divided by seven equals six.

Answer:

18. \( x = 8 \)

19. \( c = 9 \)

20. \( d = \sqrt{10} \)

21. 83 1/3 ft

22.

a. decay

b. growth

c. decay

Step-by-step explanation:

18.

\( \sqrt{x + 1} + 12 + 10 = 25 \)

[tex[ \sqrt{x + 1} = 3 \)

Square both sides.

\( x + 1 = 9 \)

\( x = 8 \)

19.

\( a^2 + b^2 = c^2 \)

\( (\sqrt{75})^2 + (\sqrt{6})^2 = c^2 \)

\( 75 + 6 = c^2 \)

\( 81 = c^2 \)

\( c = 9 \)

20.

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

\( d = \sqrt{(3 - 4)^2 + (-9 - (-6))^2} \)

\( d = \sqrt{(-1)^2 + (-3)^2} \)

\( d = \sqrt{1 + 9} \)

\( d = \sqrt{10} \)

21.

Max: 5 ft tall; 3 ft shadow

Building: x ft tall; 50 ft shadow

5 ft is to 3 ft as x ft is to 50 ft

5/3 = x/50

3x = 250

x = 250/3

x = 83 1/3

Answer: 83 1/3 ft

22.

Exponential function:

y = a(b)^x

b is the number in parentheses raised to exponent x.

If b > 1, it is growth.

If b is between 0 and 1, it is decay.

Look at each case.

a. 0.85 is between 0 and 1: decay

b. 1.025 > 1: growth

c. 0.682 is between 0 and 1: decay

The answer will be as follows after answering the supplied question It is equation worth noting that this equation is a cubic polynomial.

A math equation is a process that relates two statements by using the equals sign (=) to indicate equivalence. In algebra, an equation is a mathematical statement that shows the equivalence of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on opposite sides of a letter. Frequently, the logo and the software are the same. For example, 2x - 4 = 2.

The degree n Lagrange polynomial that passes through n+1 unique points (x0,y0), (x1,y1),..., (xn,yn) is given by:

[j=0 to n] L(x) [i=0 to n, ij] * yj (x - xi)/(xj - xi) (xj - xi)

We have 5 points in our situation, thus n = 4. We get the following results by plugging the provided points into the Lagrange polynomial formula:

\(L(x) = 1*(x-2)(x-3)(x-4)(x-5)/(-1123) + 2(x-1)(x-3)(x-4)(x-5)/(1123) + 4(x-1)(x-2)(x-4)(x-5)/(1123) + 4(x-1)(x-2)(x-4)(x-5)/(1123) (2123)+ 12(x-1)(x-2)(x-3)(x-4)/(432*1)\)

When we simplify this expression, we get:

\(L(x) = x^3/3 - 3x^2/2 + 11x/6 - 1\)

As a result, the equation of the curve passing through the given locations is:

\(y = x^3/3 - 3x^2/2 + 11x/6 - 1\)

It is worth noting that this equation is a cubic polynomial.

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Answer:

1:15 pm

Step-by-step explanation:

It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so

7:15 - 6 = 1:15

Answer:

a) 2

b) 199

Step-by-step explanation:

Part A:

100*2 - 100 = 100

(You'd multiply 100x2 first, which is 200, then subtract 100, and get 100.)

Part B:

There's parentheses in part B, so these get calculated first.

(200-199) = 1.

1 x 200 = 200

The angles D and F are not congruent angles.

According to the statement

We have to find that the not a pair of congruent angles.

So, For this purpose, we know that the

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles

From the given information:

In this diagram we have to given the four angles which are E,F,G,D.

And out of these angles

The angles E and G are the congruent angles and the angles D and F are not congruent because according to the definition these angles are not follow the conditions of the congruent angles.

So, The angles D and F are not congruent angles.

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Answer:

The answer is 1 9/19

Step-by-step explanation:

Answer:

y=-4x-25

Step-by-step explanation:

y-y1=m(x-x1)

y-7=-4(x-(-8))

y-7=-4(x+8)

y=-4x-32+7

y=-4x-25

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The average velocity from t = 2s to t = 4s would be - 48 ft/s.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that an object is thrown upward with initial velocity of 48 feet per second from a high of 120 feet. The height of the object t seconds after it is thrown is given by h(t) = - 16t² + 48t + 120.

Average rate of change of velocity with time is called average velocity. Mathematically -

v{avg.} = Δx/Δt                                                         .... Eq { 1 }

Δx = x(4) - x(2)

Δx = - 16(4)² + 48(4) + 120 - {- 16(2)² + 48(2) + 120}

Δx = - 96

Δt = 4 - 2 = 2

So -

v{avg.} = Δx/Δt = -96/2 = - 48 ft/s

Therefore, the average velocity from t = 2s to t = 4s would be - 48 ft/s.

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Creative Section - B

7. a) The average of daily income of a plumber from Sunday to Friday is Rs 1,300

in the last week. If he earned Rs 2,000 on Saturday, find

income of the week.

The solution of both inequalities is (-1, 2).

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the inequalities

x+ y >1.........(1)

-x+ y <3.........(2)

The graph for x+ y >1 is shown by the red shaded region.

and, the graph for -x+ y <3  is shown by the blue shaded region.

Also , the Inequality intersect at (-1, 2) which shows the solution of both inequalities.

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