Tyler needs at least $205 for a new video game system. He has already saved $30. He earns $7 an hour at his job. Write and solve an inequality to find how many hours he will need to work to buy the system. Interpret the solution

Answer:

Step-by-step explanation:

10 ÷ 5 = 2 x6 = 12

Answer:20

Step-by-step explanation:the answer is 20

trust

Answer:

Zeroes: (-1.45, 0) and (3.45, 0)

Step-by-step explanation:

I plugged the equation into a graphing calc and located the x-values when graphing.

Given:

Total number of hours = 70 hours

Amount he charges (base fee) = $75

Amount he charges per hour =

Answer:

-1 / x, 1 - x,  x - 1,  x

Step-by-step explanation:

Since x is 1, plugin 1 into x. It's very easy from there.

x = 1.

1 - x = 0.

x - 1 = 0.

-1 / x = -1

From least to greatest, it goes from -1/x to x backward and no, it doesn't matter if you put 1 - x or x - 1 as the second least.

To represent the linear function in order for the data the value of a=18.

In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

It is given that for a linear function the value is changing at the rate of 5 so we can see in the table as the function independent value is changing then the value of the dependent linear function increases by 5.

So the value of a will be equal to 18.To represent the linear function in order for the data the value of a=18.

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Answer:

on a graph will (-5, -7) be found Quadrant III.

Answer:

True

Step-by-step explanation:

Office resources can be defined as all those means, facilities or equipments, including manpower that are utilized in the operation of various office procedures on a daily basis. Thus, office resources comprises means of communication, means of transportation, manpower (workers or employees), furniture, computer, etc.

Basically, the proper and efficient utilization of office resources determine the level of success that would be achieved in any office.

In Business management, office resources are generally grouped into five (5) main categories and these include;

I. Communication.

II. Transportation.

III. Material and office supplies.

IV. Sources of income (finance).

V. Manpower (human resources).

Manpower is also referred to as human resources or office personnels and it can be defined as the total number of people working from the lower hierarchy to top hierarchy of an organization, engaged in various jobs or tasks at different levels.

Basically, manpower is considered to be the most important type of office resources because it is vital for achieving the organizational goal.

This ultimately implies that, the most valuable assets of an organization is its qualitative manpower because it comprises human competence, skills and knowledge.

A 3x3 matrix, the rank can be 0, 1, 2, or 3, depending on the values of the entries in the matrix.

The rank of a matrix is the number of linearly independent rows or columns in the matrix.  The rank of a 3x3 matrix can be found by performing row reduction to obtain an echelon form, and then counting the number of non-zero rows.

For example, let's consider the following 3x3 matrix:

a11 a12 a13

a21 a22 a23

a31 a32 a33

Performing row reduction, we can obtain an echelon form:

a11 a12 a13

0   a22' a23'

0   0    a33'

Here, a22' and a33' represent the pivots of the matrix, and the number of non-zero rows in the echelon form is equal to the rank of the matrix.

Therefore, for a 3x3 matrix, the rank can be 0, 1, 2, or 3, depending on the values of the entries in the matrix.

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Answer:

Lol

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Use synthetic division

-5 | 1 -4  3   7

____-5 45 -240

     1 -9 48 | -233

Since the remainder is not 0, then x+5 is not a factor of the polynomial

Answer:

8/15

Step-by-step explanation:

1 hour = 60 minutes

32 minutes / 60 minutes

Divide top and bottom by 4

8/15

Answer:

mean is 3 median is 3 and mode is also 3

Step-by-step explanation:

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Performing discrete trials is a teaching technique used in behavior analysis to teach new skills or behaviors.

It involves breaking down a complex task or behavior into smaller, more manageable steps and teaching each step through repeated trials. Each trial consists of a discriminative stimulus, a response by the learner, and a consequence (either positive reinforcement or correction) based on the accuracy of the response.

To demonstrate performing discrete trials on an initial competency assessment, the assessor would typically design a task or behavior to be learned and break it down into smaller steps. They would then present the first discriminative stimulus and prompt the learner to respond. Based on the accuracy of the response, the assessor would provide either positive reinforcement or correction.

The assessor would then repeat the process with the next discriminative stimulus and continue until all steps of the task or behavior have been completed. The number of trials required for the learner to achieve competency would depend on the complexity of the task or behavior and the learner's individual learning pace.

By demonstrating performing discrete trials on an initial competency assessment, the assessor can assess the learner's ability to learn new skills or behaviors using this technique and determine if additional training or support is needed. It also provides a standardized and objective way to measure learning outcomes and track progress over time.

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a. MRS = √(W/B)
b. Optimal bundle and total utility.
c. Adjusted income for constant utility.

a. The marginal rate of substitution (MRS) of walnuts for bananas is the rate at which you are willing to give up walnuts in exchange for one additional pound of bananas while keeping the utility constant. In this case, the MRS is equal to the ratio of the marginal utility of walnuts to the marginal utility of bananas. Since the utility function is U = √(W * B), the MRS can be calculated as MRS = √(W/B).

b. Using the Lagrangian approach, we can set up the following optimization problem: maximize U = √(W * B) subject to the constraint 2W + B = I, where W represents the pounds of walnuts, B represents the pounds of bananas, and I represents income. By solving the Lagrangian equation and the constraint, we can find the optimal consumption bundle and income level.

c. If the price of bananas doubles to $2 per pound, we need to determine the income required to maintain the same level of utility. With the new price, the constraint becomes 2W + 2B = I. By solving the Lagrangian equation again and substituting the new constraint, we can find the income level required to maintain the same level of utility.

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Answer:

  £422.63

Step-by-step explanation:

You want the amount of simple interest earned by an investment of £1050 for 23 years at 1.75%.

The interest formula is ...

  I = Prt

  I = £1050·0.0175·23 ≈ £422.63

Alice will get £422.63 in interest for that period.

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The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

From the question, we have the following parameters that can be used in our computation:

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

The domain of the step function f(x) = [2x] - 1, where [2x] represents the greatest integer less than or equal to 2x, can be determined by considering the restrictions on the input values.

In this case, the step function is defined for all real numbers. However, the greatest integer function imposes a restriction. Since the greatest integer function only outputs integers, the input values (2x) must be such that they produce integer outputs.

For any real number x, the greatest integer less than or equal to 2x will always be an integer. Therefore, the domain of the function f(x) = [2x] - 1 is:

Domain: {x | x is a real number}

Option D, "{x | x is a real number}" accurately represents the domain of the function.

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Step-by-step explanation:

на я был в bbs я был в душе

Answer: Infinitely many solutions

Explanation:

Let's say we had this system

y = x+5

x-y = -5

Let's replace y with x+5 in the second equation

x-y = -5

x-(y) = -5

x-(x+5) = -5

x-x-5 = -5

0x-5 = -5

0-5 = -5

-5 = -5

We end up with a true statement since we get the same number on both sides. This system has infinitely many solutions. The two equations produce the same straight line graph. Effectively, the two lines overlap perfectly to intersect infinitely many times.

Notice how solving x-y = -5 for y leads to y = x+5. This is more evidence that both original equations are identical (just in different forms).

Kyle’s monthly payments for the next two months will remain $1,200 is a false statement.

What is a loan contract?

A loan contract is an agreement between a lender and a borrower. It is one of the processes required to formalise a loan. It contains information such as covenants, duration of the repayments and guarantees.

What happens when there is delinquency?

A delinquency occurs when a payment is not made on the first day of the month. In this case, the buyer would divide the payment not received into a maximum of three instalments to be paid in the next consecutive monthly payments. As a result, in the event of a delinquency, Kyle's payment would be greater than $1200.

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Answer: 81 socks

Step-by-step explanation: $35 + .75s > $55 + .50s

s > 80

It will take the painter more than 40 hours to paint all 20 rooms in stately wayne manor .

Time taken for the first 3 rooms =9hrs

Learning curve rate = 85%

Time taken for the next 20 rooms =?

Time taken for 1 room = 9hrs / 3 rooms = 3 hrs

If it takes 3 hrs to paint 1 room

Therefore, it will take x hrs to paint 20 rooms would take;

Hence, 20 rooms multiplied 3 hrs = 60 hours

It may take 60 hours to complete painting the 20 rooms.

At a learning curve rate of 85%, 15% will be the progress rate

Therefore, it will take additional 15% of 60 hours to paint the 20 room.

60+9(15% of 60) =69 hours

The painter would take more than 40 hours to paint the 20 rooms given his efficiency and learning curve rate.  The answer is derived by relating the data provided in the question to the desired answer.

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The width in figure b) is 12 m and the length in figure c) is 16.5 cm.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Given the figure ;

b) ⇒

Area = 180 m² , length = 15m

Area = length × width

width = 180/15 = 12 m.

c) ⇒

Area = 231 cm² , width = 14 cm

Area = length × width

231 = Length × 14

Length = 231/14 = 16.5 cm

Hence "The width in figure b) is 12 m and the length in figure c) is 16.5 cm"

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Answer:

x=\(\frac{8}{23}\)

Step-by-step explanation:

you have to  divide 23 into both sides and that gives you \(\frac{8}{23}\)