Which of the following statements can be expressed as an inequality? (Select all that apply.)
Ox is decreased by the product of 2 and y
7 less than the product of 2 and y
x decreased by 2 is less than 7

Answer:

(-1,4)

Step-by-step explanation:

The interval in which the function is decreasing is (-1, 4)

Answer:

The domain of a function is the set of all possible inputs for the function.

Using the table provided, the set of all possible inputs is the interval [-6 ; 4].

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.

Using the table provided, the range is estimated on the interval [-10;20]

The y-intercept is the value on the Y-axis where the function crosses the Y-axis.

Using the table provided, the function crosses the Y-axis for f(0)=18 so for the value y = 18 in the table.

The x-intercept is the value on the X-axis where the function crosses the X-axis.

It happens twice, for f(-6)=0 and f(3)=0.

We estimate the Maximum to be 20, and the Minimum -10.

The function is positive over the interval [-6, 3], and negative over (3;4]

The function is decreasing approximately at f(-1)=20 so at the estimated interval (-1;4]

Graphing, substitution, and elimination are three methods for solving systems of equations. While they all aim to find the solution(s) to a system of equations, there are some important differences in how they work and when they are most appropriate to use.

Graphing involves plotting the equations on the same coordinate system and finding the point(s) where the graphs intersect. This method is visual and can be useful for understanding the overall behavior of the equations, but it can be time-consuming and inaccurate if the graphs are not precise enough. Graphing is most appropriate when the equations are simple and have integer solutions, or when a visual representation of the problem is necessary.

Substitution involves solving one of the equations for one variable, then substituting that expression into the other equation to create an equation with only one variable. This method is straightforward and can be done by hand, but it can be time-consuming and error-prone if there are many variables or the equations are complex. Substitution is most appropriate when one of the equations is already solved for a variable, or when the equations involve simple linear or quadratic forms.

Elimination involves adding or subtracting the equations to eliminate one of the variables. This method is efficient and can be done systematically, but it can be confusing if the equations are not balanced or there are many variables. Elimination is most appropriate when the coefficients of one of the variables are equal or opposite in both equations, or when there are many equations and variables.

In general, the choice of method depends on the specific equations and the preferences of the solver. Graphing is a good method to use when the equations are simple and easy to plot, substitution is useful when one equation is already solved for a variable or the equations involve simple forms, and elimination is a good choice when the equations have balanced coefficients or there are many equations and variables to consider. It is important to keep in mind the strengths and weaknesses of each method and to choose the most appropriate method based on the specific situation.

Note - While this answer may provide helpful information for your assignment, it is important to remember that using it verbatim could be seen as plagiarism. To avoid this, it is best to use your own words and properly cite any sources used. This will ensure that you are giving credit to the original author and presenting your own unique perspective on the topic.

~~~Harsha~~~

Answer:

y= -9

Step-by-step explanation:

-3(-9)=27

27-9=18

18=18

Answer:

14

Step By Step Explanation:

7×4/2

=7×2

=14

Have a nice day! :)

-Vana

Answer:

It is the hundredth place which is underlined.

The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.

A polynomial is an expression consisting of variable and coefficient and are used to model real world situation it is an equation of degree greater than one where the exponents of the variables can be any non-negative integer for example the polynomial equation x 2 + 3x + 2 represent a parable of windcraft polynomial are used in name variety of field such as mathematics and physics.

The process of synthetic division is used to divide polynomials of the form ax^n + bx^n-1 + ... + c, where a is the coefficient of the highest power of the variable x.

To divide -3 into the polynomial 1 8 9 -18 0, the following steps should be taken:

Step 1: Line up the divisor, -3, to the left of the polynomial, as shown below:

-3 | 1 8 9 -18 0

Step 2: Bring down the first coefficient in the polynomial, which is 1, and place it directly below the -3.

-3 | 1 8 9 -18 0
  -3

Step 3: Multiply the -3 by the first coefficient and place the result in the next row, directly below the 8.

-3 | 1 8 9 -18 0
  -3
 -3

Step 4: Add the result to the 8, and place the new result in the next row.

-3 | 1 8 9 -18 0
  -3
 -3
  5

Step 5: Repeat steps 3 and 4 for each coefficient in the polynomial.

-3 | 1 8 9 -18 0
  -3
 -3
  5
 -15
-15
 18

Step 6: The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
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Complete questions as follows-
Divide Using Synthetic Division
-3|1 8 9 -18 0

The approximate amount to be deposited each month at a guaranteed APR of 6.5% that will accrue to $15,000 in 9 years is $97.57.

In order to find out how much you should deposit each month to end up with $15,000 in 9 years, we can use the future value formula for an annuity:

FV = PMT * [(1 + r)^n - 1] / r

where:

The total number of deposits, n,  is the number of months in 9 years:

n = 9 * 12 = 108

The monthly interest rate from the annual percentage rate (APR):

r = (1 + 0.065/12) - 1 = 0.0054166667

Let's substitute the values and solve for PMT:

Therefore, you should deposit approximately $97.57 each month to end up with $15,000 in 9 years, assuming a guaranteed APR of 6.5%.

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Answer:

20 percent

Step-by-step explanation:

\(\frac{400}{500}\)\(=0.8\)

\(1-0.8=0.2\)

This means that 20 percent off of 500 is 400.

Answer:

The answer should be 20%

Step-by-step explanation:

Hope this helps

Answer:

Yep  good job!!!

The total length of 9 rods will be 72 units.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The length of 6 identical iron rods is 48 unit.

Now,

Since, the length of 6 identical iron rods is 48 unit.

Hence, the length of 9 identical iron rods = 9 × 48 / 6

                                                                = 9 × 8

                                                                = 72 units

Thus, The total length of 9 rods will be 72 units.

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The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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The dimensions of the rectangle are 70.5 by 72.5 units.

What is a dimension?

A length measurement that only goes one way. Dimensions include things like width, depth, and height. One dimension is that of a line, two dimensions are found in a square, three dimensions are found in a cube, and one dimension is that of something's height, length, or width. For instance, the room is 26 feet by 15 feet in size.

Solution Explained:
Given,

Area = 143 unit^2

A/Q,

Let length be x and width be x + 2.

So, Area = l X w

      143 = x + x + 2

      143 = 2x + 2

      x = (143 - 2)/2

      x = 70.5

So width = x + 2 = 70.5 + 2 = 72.5

So, the dimensions are 70.5 by 72.5

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La ecuación cuadrática y² - 8 es una diferencia de cuadrados, cuya forma es (y + 2√2) · (y - 2√2).

Tenemos una ecuación cuadrática de la forma y² - a², donde a es un número real. Según el álgebra de los números reales, esta expresión si corresponde a una diferencia de cuadrados, definida a continuación:

y² - a² = (y + a) · (y - a)

Si tenemos a² = 8, entonces a = √8 = 2√2 y se tiene la siguiente expresión:

y² - 8 = (y + 2√2) · (y - 2√2)

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You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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Answer:

Anything known? I mean the lenght of bottle or anything like that?

Answer:

sss i think

Step-by-step explanation:

uh im not 100% sure

An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

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Answer:

Step-by-step explanation:

24-10=14 yards remaining after giving 10 to her sister

14/ 1 1/2 = 9.33333

THEREFORE SHE CAN DO 9 PROJECTS AT MAX

Yes, the additional education costing $36,000 will pay for itself in less than 2 years based on the increased earning potential.

To determine whether the additional education costing $36,000 will pay for itself, we need to consider the time it takes to recover the investment through the increased earning potential.

The additional yearly earning potential is the difference between the post-education income ($39,746) and the pre-education income ($21,484), which is $18,262.

To calculate the payback period, we divide the cost of education ($36,000) by the annual increase in earning potential ($18,262).

Payback Period = Cost of Education / Annual Increase in Earning Potential

Payback Period = $36,000 / $18,262

The payback period is approximately 1.97 years, meaning that it would take approximately 1.97 years to recover the cost of education through the increased earning potential.

If the time required to recover the cost is less than the time in which the increased earning potential will be realized, then the additional education would be considered to have paid for itself.

In this case, since the payback period is less than 2 years and the increased earning potential will continue for subsequent years, it can be concluded that the additional education costing $36,000 will pay for itself over time.

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Answer: 32

Step-by-step explanation:

48 - 16 is 32

a) P(psychology student)  = 1/3. b) P(psychology or anthropology student)  = 5/6. c) P(not sociology student)= 5/6

(a) The probability of choosing a psychology student is the number of psychology students divided by the total number of students:

P(psychology student) = 4/(6+2+4) = 4/12 = 1/3

(b) The probability of choosing a psychology student or an anthropology student is the sum of the number of psychology and anthropology students divided by the total number of students:

P(psychology or anthropology student) = (4+6)/(6+2+4) = 10/12 = 5/6

(c) The probability of not choosing a sociology student is the number of non-sociology students divided by the total number of students:

P(not sociology student) = (6+4)/(6+2+4) = 10/12 = 5/6

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Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.

By following the sequence provided on the table, let's calculate the cost for each plant:

Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.

Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910

Now, let's calculate the difference in cost:

910 - 670 = 240

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Variables are the quantities that are being measured.

Variable type

A variable whose value is in numbers, is referred to as a quantitative variable; otherwise, it is a categorical variable.

This means that duration is quantitative, while rating and voting status are categorical.

Level of measurement

Nominal variables are named variables; e.g. Yes or No.

Voting status is a nominal variable

Ordinal variables are named and ordered variables, e.g. Excellent, or Very Good or Good, or Fail.

Rating is an ordinal variable

Intervals are named, ordered and are in intervals; e.g. 1 hour to 2 hours.

Duration is an interval variable

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9514 1404 393

Answer:

  A) 1

Step-by-step explanation:

Let the distance from A to BC be represented by y, and the distance DE be represented by x. We can write some relations using the definition of the tangent of an angle, and the double-angle formula for tangent. The double-angles are complementary

Left angles

Call the smaller angle α. Then the larger angle is 2α.

  tan(α) = x/2

  tan(2α) = 2tan(α)/(1 -tan(α)²) = 2(x/2)/(1 -(x/2)²) = 4x/(4 -x²)

Right angles

  tan(β) = x/3

  tan(2β) = 2tan(β)/(1 -tan(β)²) = 2(x/3)/(1 -(x/3)²) = 6x/(9 -x²)

__

Angles 2α and 2β are complementary, so the product of their tangents is 1.

  (4x/(4 -x²))(6x/(9 -x²)) = 1

  24x² = (4 -x²)(9 -x²) . . . . multiply by the product of denominators

  x⁴ -37x² +36 = 0 . . . . . put in standard form

  (x² -36)(x² -1) = 0 . . . . . factor

Solutions to this equation are x = ±1 and x = ±6. Only positive values less than 1.25 can possibly satisfy the geometry. Hence x = DE = 1.

The length of DE is 1.