Explain how you can determine if (x + 3) is a factor of the given polynomial through factoring and polynomial division:

(A-APR. 2) (A1. 26. A, A1. 26. B)

x3-x2-12x

fast with step by step explanation if possible please!

Given equation g = x-1/k in terms of x would be x = 1 + gk

for given question,

we have been given an equation g = x-1/k

Dyani began solving the equation g = x-1/k for x by using the addition property of equality.

We solve given equation for x.

⇒ g = x-1/k                      ..........(Given)

⇒ gk = (x - 1/k)k               .........(Multiply both the sides by k)

⇒ gk = x - 1

⇒ gk + 1 = x - 1 + 1           .........(Add 1 to each side)

⇒ gk + 1 = x

⇒ x = 1 + gk

Therefore, given equation g = x-1/k in terms of x would be x = 1 + gk

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Answer:

7) independent-tickets

dependent -money

8) independent -products

dependent-bags

9)independent -weight

dependent -price

10)independent -time preiod of the hike

dependent-snacks

11) independent -no. of mushrooms

dependent -no. of tarts

12)independent -no. of trophies

dependent - no. of shelves

The solution is: y = 30x, is the equation for total pay (y) as a function of total hours worked (x).

Here, we have,

Because we are talking about over 8 hours.

The question states that you get 30$ per hour for overtime hours.

That means if you work over 8 hours your dollars per hour increases to 30.

So because the amount of dollars increases to 30 you can infer that all you have to do is make the same equation as the 20 dollar's per hour equation.

Except you put 30 making it y = 30x.

Hence, The solution is: y = 30x, is the equation for total pay (y) as a function of total hours worked (x).

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complete question:

A company pays $20 per hour for up to 8 hours of work, and $30 per hour for overtime hours (hours beyond 8 hours). For up to 8 hours worked, the equation for total pay (y) for hours worked (x) is y = 20x. For over 8 hours worked, what is the equation for total pay (y) as a function of total hours worked (x)?

Answer:

x= 50

Step-by-step explanation:

I forgot what it's called but basically 101+x+29= 180 because it's straight line. So you can just go ahead and add 29 and 101 to get 130 and subtract that from 180 to get 50.

Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

Answer:

List B

Step-by-step explanation:

The investment is expected to provide a return of 14 percent, which is sufficient to cover the cost of the investment and provide a positive net present value.

The present value calculation is a way to evaluate the current worth of future cash flows, taking into account the time value of money. At a 14 percent required rate of return, the present value of the benefits must be equal to the initial cost in order to justify the investment.

This result suggests that the investment is a good choice for the investor, as it is expected to generate a positive return. It's important to note that this calculation is based on certain assumptions and projections, which may not always hold true in reality.

Therefore, investors should always perform a thorough analysis and consider the potential risks before making any investment decisions.

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The country with Rising Interest Rates: the local currency tends to strengthen, and  Country with Constant Interest Rates: the local currency weakens.

When interest-rates rise in one country while remaining constant in another, it can lead to an increase in lending from the country with constant interest rates to the country with higher interest rates.

The result in each currency can be described as follows:

⇒ Country with Rising Interest Rates: In the country where interest rates are rising, the local currency tends to strengthen. This occurs due to the increased demand for the currency as foreign lenders seek higher returns. As a result, the exchange rate of the local currency appreciates.

⇒ Country with Constant Interest Rates: In the country where interest rates remain constant, the local currency may weaken. This can happen due to the outflow of capital as investors seek higher returns in the country with rising interest rates. The demand for the local currency decreases, leading to a depreciation of the exchange-rate.

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Answer:

If you're being charged annually, you would end up paying $918.

Step-by-step explanation:

850 * 0.04 (or 4%) = 34

34 * 2(years) = 68

850 + 68 = 918

You would end up paying $68 in interest.

Answer:

Its $68

Step-by-step explanation:

just got it right.

Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Answer:

The value of the line is 5.83.

Hope it helps!

Answer:

d = √34 or 5.83

Step-by-step explanation:

Distance formula: \(d = \sqrt{(x2-x1)^2+(y2-y1)^2}\)

Point R (-3, 1)

Point S (2, 4)

d = √(2+3)²+(4-1)²

d = √(5²+3²)

d = √(25 + 9)

d = √34 or 5.83095

Answer:7/10

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

He got 63/72 correct.

Since he got 9 wrong (72-63).

Fraction of wrong answers = 9/72

Which is equal to 1/8.

Answer:

Step-by-step explanation:

y - 2 = -4(x - 1)

y - 2 = -4x + 4

y = -4x + 6

The probability of each outcome is 1/12 or 0.083.

The probability of each outcome in the sample space can be calculated using the formula for permutations. The formula for permutations is nPk = n!/(n-k)!. In this case n is the number of gift cards (4) and k is the number of gift cards to be selected (2).  In this example, the sample space consists of 16 possible outcomes, and each outcome is equally likely. Thus, the probability of each outcome is 1/16. To calculate this, divide 1 by the total number of outcomes (16). This results in the probability of each outcome being 1/16.Therefore, nPk = 4P2 = 4!/2! = 12. Since each outcome is equally likely, the probability of each outcome is 1/12 or 0.083. This can be written as a fraction as 1/12 or as a decimal as 0.083.

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Answer: 81

Step-by-step explanation:

Answer:

3^4

Step-by-step explanation:

You can use the rule:

\( {n}^{a} \times {n}^{b} = {n}^{a + b} \)

2+2 = 4 so that's your answer

and 3^ 4 is 81 when you put it in a calculator

The positive square root of 0.1445 by division method is approximately 0.38 (correct to two decimal places).

To find the positive square root of 0.1445 by division method, we can follow these steps:

Step 1: Add a decimal point after the first digit to make it 0.14. Step 2: Pair the digits from the decimal point in pairs starting from the decimal point and moving left. If there is an odd number of digits, pair the leftmost digit with a zero. So, we have: 0. 14 45 Step 3: Find the largest number whose square is less than or equal to 14. Write this number on top of the paired digits and subtract its square from 14. The largest number whose square is less than or equal to 14 is 3. 3 | 0.14 45 9

5 14 4 89

255

Step 4: Bring down the next pair of digits (45) and double the quotient (3) to get the dividend for the next step. So, we have: 3 | 0.14 45 9

5 14 4 89

255

249

---

  66

Step 5: Find the largest digit d such that 6d multiplied by d is less than or equal to 66. Write this digit on top of the remainder (66) to get the next digit of the square root.

The largest digit d such that 6d multiplied by d is less than or equal to 66 is 7.

So, we have:

3 | 0.14 45

9  4

5 14 66 4 89

255

249

---

  66

  63

  --

   3

Step 6: Repeat steps 4 and 5 until you have found the desired number of decimal places. In this case, we stop here since we only need to find the square root correct to two decimal places.

Therefore, the positive square root of 0.1445 by division method is approximately 0.38 (correct to two decimal places).

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Using trigonometric ratios,

The distance from the wall to the base of the ladder is 2.1 feet.

The height at which the ladder rests against the wall is 4.5 feet.

Given that a ladder is leaning against the side of a building.

The ladder, the distance from the base of the ladder to the base of the wall and the height at which the ladder rests against the wall forms a right triangle.

Length of the ladder is the hypotenuse, = 5 foot

Using trigonometric ratio,

distance from the wall to the base of the ladder = 5 cos(65°)

                                                                                = 2.1 feet

Height at which the ladder rests against the wall = 5 sin(65°)

                                                                                 = 4.5 feet

Hence the options are D and B.

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Answer:

Lesser x = -4/3

Greater x = -1

Step-by-step explanation:

By the Zero Product Property, the roots are found by setting each factor equal to 0:

x+1 = 0

x = -1

3x+4 = 0

3x = -4

x = -4/3

So, the lesser x is -4/3 and the greater x is -1.

Step-by-step explanation:

pure acid is a 100% acid solution.

x = ml of 100% solution

1×x + 0.3×400 = 0.75×(400 + x)

x + 120 = 300 + 0.75x

0.25x = 180

x = 720 ml

we must add 720 ml of pure acid to the 400 ml of 30% solution to create a 75% solution (1,120 ml in total).

Answer:

t=p(unit pf weight)

Step-by-step explanation:

t=plbs

total price is the price time the lbs of feed

(unit of weight may change) depending on question

Answer:3/4

Step-by-step explanation:

Answer:

62 is the width

3,708,000,000 in  scientific notation is \(3.708\) × \(10^9\)

Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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Answer:

y=-2

Step-by-step explanation:

y=2/3(0)-2

y=-2

Complementary means something is hard