Which expression is equivalent to 2x-2(20-3x)+12

Answer:

One solution

Step-by-step explanation:

Seperate the like terms.

3x-8x=-9-4

-5x=-9-4

-5x=-13

x=13/5

The expression 3x + 4 = 8x - 9 has one solution.

Option A is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

3x + 4 = 8x - 9

4 + 9 = 8x - 3x

13 = 5x

x = 13/5

This means,

It has one solution.

Thus,

The expression has one solution x = 13/5.

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Answer:

x=5/2 or  2.5

Step-by-step explanation:

1 Divide both sides by 22.

x=5/2

decimail form 2.5

​​  

Answer:

-5-(-7)

=-5+7

=7-5

=+2

Answer:

d

Step-by-step explanation:

Supplementary angles sum to 180°

Sum the angles A and B and equate to 180m that is

16x - 7 + 21x + 2 = 180

37x - 5 = 180 ( add 5 to both sides )

37x = 185 ( divide both sides by 37 )

x = 5

Thus

∠ A = 16x - 7 = 16(5) - 7 = 80 - 7 = 73° → d

Step-by-step explanation:

60lb? koejdhrojrjrrjbrur

Answer:

Step-by-step explanation:

Given

Solving for H

The probabilities for all six possible scenarios based on the given information. The likelihood of each scenario and its respective outcome have been determined by multiplying the probabilities of the relevant events.

To analyze the given scenario and calculate the probabilities for all six possible scenarios, let's create a decision tree and timeline to visualize the information provided.

Timeline:

Year 1: Initial investment of $12 million in new technology.

Year 2: Results evaluated by shareholders.

Year 3: Final decision made by shareholders.

Decision Tree:

```                 ┌─── Continue (95%)

                │

       15% ─────┼─── Continue (75%)

                │

$12 million ─────┼─── Continue (40%)

investment       │

                │

       10% ─────┼─── Abandon ($5 million cost)

                │

                │

        5% ─────┼─── Abandon ($5 million cost)

                │

                └─── Abandon ($5 million cost)

```

Now, let's calculate the probabilities for each scenario:

1. New equipment reduces expenses by 15% (40% probability):

  Probability = 40% * 95% = 0.4 * 0.95 = 0.38 (38%)

  Outcome: The shareholders vote to continue for another 3 years.

2. New equipment reduces expenses by 10% (30% probability):

  Probability = 30% * 75% = 0.3 * 0.75 = 0.225 (22.5%)

  Outcome: The shareholders vote to continue for another 3 years.

3. New equipment reduces expenses by 5% (30% probability):

  Probability = 30% * 40% = 0.3 * 0.4 = 0.12 (12%)

  Outcome: The shareholders vote to continue for another 3 years.

4. New equipment does not reduce expenses (10% probability):

  Probability = 10%

  Outcome: The shareholders vote to abandon the project, incurring a $5 million cost.

5. New equipment reduces expenses by 15%, but shareholders vote to abandon (5% probability):

  Probability = 15% * (1 - 95%) = 0.15 * 0.05 = 0.0075 (0.75%)

  Outcome: The shareholders vote to abandon the project, incurring a $5 million cost.

6. New equipment reduces expenses by 10%, but shareholders vote to abandon (5% probability):

  Probability = 10% * (1 - 75%) = 0.1 * 0.25 = 0.025 (2.5%)

  Outcome: The shareholders vote to abandon the project, incurring a $5 million cost.

To summarize, we have calculated the probabilities for all six possible scenarios based on the given information. The likelihood of each scenario and its respective outcome have been determined by multiplying the probabilities of the relevant events.

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Answer:

X=3

Step-by-step explanation:

Answer:

prime number is 17 and the square number is 16 if you subtract them you get 1 .

Answer:

D the last one

Step-by-step explanation:

Answer:

∠VUR and ∠QRU

Step-by-step explanation:

Answer:

-2x-4

Step-by-step explanation:

We have to combine like terms in this expression. So, only -3 and -1 can be combined, and the same thing applies to 2x and -4x. If we add -3 and -1 as it says in the expression, that is -4. If we add 2x and -4x which is also in the expression, it is -2x. We can combine these two resulting terms to simplify the expression. The answer is -2x-4.

Answer:

10.2

Good Luck!!!

Answer:

240

Step-by-step explanation:

Answer:

X<-3

Step-by-step explanation:

4 ( x - 1 ) > (1/2) ( 4 + 12x )

4x - 4 > 2 + 6x

-2 -4 > 6x - 4x

-6 > 2x

x < -3

Answer:

I did with geogebra ,it might help you with other questions as well!

Answer:

26.25 cm

Step-by-step explanation:

Take the width and multiply by the scale factor

15 * 7/4

105/4 cm

26.25 cm

Answer:

1.99·10^-2

Step-by-step explanation:

you go over 2 places to the right, (2) then, since its right, its negative.

We need to evaluate the given expression, √3x + 7 - x, for two different values of x: (a) x = -2 and (b) x = 3.

For x = -2:

Plugging in the value of x, we have √3(-2) + 7 - (-2).

Simplifying this expression, we get √(-6) + 7 + 2.

Since the square root of a negative number is not defined in the real number system, the expression is undefined for x = -2.

For x = 3:

Plugging in the value of x, we have √3(3) + 7 - 3.

Simplifying this expression, we get √9 + 7 - 3.

The square root of 9 is 3, so we have 3 + 7 - 3.

Further simplification yields 7.

Therefore, for x = -2, the expression is undefined, and for x = 3, the expression evaluates to 7.

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Answer:

y+2=5×

Step-by-step explanation:

because it is unlike term

Answer:

Hi there! I just answered this question and the situation represents a geometric sequence because the successive y-values have a common ratio of 0.7.

Step-by-step explanation:

Every year, the value of the computer decreases by 30%.

The value of the computer is originally $2,100. Determine the value of the computer after one year by subtracting 30% of the original value.

2,100 - 0.30(2,100) = 2,100 - 360 = 1,470

The cost of the computer after one year will be $1,470 and the original cost was $2,100. Find the ratio of these two values.

1,470/2,100 = 0.7!

Therefore, after one year, the value of the computer is 0.7 times the value of the computer the previous year. Since the value is decreasing 30% annually, this trend will continue each year.

So, the situation represents a geometric sequence because the successive y-values have a common ratio of 0.7.!

Hope this helps I was confused too!

Answer:

0.7

got it right.

The distribution is positively skewed or right-skewed.

From the given information, we can infer that the distribution of the dollar amounts for wedding gifts is skewed to the right or positively skewed.

The mean ($174) is smaller than the median ($205), indicating that the distribution is not symmetric. In a symmetric distribution, the mean and median would be approximately equal.

Since most of the dollar amounts were on the larger side and only a few dollar amounts were on the smaller side, this suggests that the majority of respondents were willing to spend higher amounts on wedding gifts. As a result, the tail of the distribution extends towards the larger values, causing the distribution to be skewed to the right.

Therefore, the distribution is positively skewed or right-skewed.

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Answer:

46 degrees

Step-by-step explanation:

Answer: 1/2

Just cube root both sides.

Answer:

[tex]x=0.5[/tex]

Step-by-step explanation:

[tex]x^3=\frac{1}{8}[/tex]

Take the cube root out.

[tex]x=(\frac{1}{8})^{(\frac{1}{3}) }[/tex]

Answer:

[tex]\boxed{x=0.5}[/tex]

The number of monthly payments that need to be made for a 2 ½ -year loan is 30. This is because there are 12 months in a year and 2 ½ years are equal to 30 months.

It's important to know the number of payments needed to be made when taking out a loan to ensure that the loan can be repaid in a timely manner. The number of monthly payments that need to be made for a 2 ½ -year loan is 30. This is because there are 12 months in a year and 2 ½ years are equal to 30 months. This information is important to know because it will allow you to budget your finances and ensure that you can make the necessary payments on time. It is important to note that some lenders may offer more flexible repayment schedules, so it's important to research the terms and conditions of the loan before signing the agreement. If you are unsure about the terms of a loan, it's always a good idea to seek the advice of a financial advisor. With the right information and planning, taking out a loan can be a responsible financial decision.

In conclusion, for a 2 ½ -year loan, 30 monthly payments need to be made. It is important to know this information to budget finances and make payments on time. It's important to research loan terms and seek the advice of a financial advisor to make informed financial decisions.

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Answer:

C

Step-by-step explanation:

A prime polynomial is simply an irreducible polynomial.

[tex]\mathbf{x + 9y^2}[/tex] is a prime polynomial

First, we test the options.

[tex]\mathbf{x + 9y^2}[/tex]

The above function cannot be reduced further.

Hence, [tex]\mathbf{x + 9y^2}[/tex] is a prime polynomial

[tex]\mathbf{3m + 9n}[/tex]

Factor out 3

[tex]\mathbf{3(m + 3n)}[/tex]

[tex]\mathbf{3m + 9n}[/tex] is not a prime because it can be factored as [tex]\mathbf{3(m + 3n)}[/tex]

[tex]\mathbf{8x^7 - 9x + 12x^2}[/tex]

Factor out x

[tex]\mathbf{x(8x^6 - 9 + 12x)}[/tex]

[tex]\mathbf{8x^7 - 9x + 12x^2}[/tex] is not a prime because it can be factored as [tex]\mathbf{x(8x^6 - 9 + 12x)}[/tex]

Hence, [tex]\mathbf{x + 9y^2}[/tex] is a prime polynomial

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Answer:

A. a // b

Step-by-step explanation:

There is no Nash equilibrium in pure strategies because neither player has a strategy that maximizes their expected payoff.

(A) The modified payoff matrix for the matching pennies game with the updated losing payoffs is as follows:

         Player 2

         Heads (H)     Tails (T)

Player 1  +1, -1        -6, +6

Heads (H)

Tails (T) -10, +10      +1, -1

(B) The diagrams showing each player's pair of expected payoff lines and the other player's equilibrium decision probability are as follows:

Player 1's Expected Payoff Line:

H      T

Probability:  p1     1-p1

Expected Payoff:  p1(-6) + (1-p1)(+1)

Player 2's Expected Payoff Line:

H      T

Probability:  p2     1-p2

Expected Payoff:  p2(-10) + (1-p2)(+1)

The equilibrium decision probability for each player will be the value that maximizes their expected payoff. In this case, player 1 will choose heads (H) with probability p1* and player 2 will choose tails (T) with probability p2*.

(C) To calculate the numerical values of the Nash equilibrium probabilities (p1*, p2*), we need to find the values that maximize each player's expected payoff.

For player 1:

Expected Payoff = p1(-6) + (1-p1)(+1)

= -6p1 + 1 - p1 + p1

= -5p1 + 1

To maximize this expected payoff, we set the derivative equal to zero:

d/dp1 (-5p1 + 1) = -5 = 0

-5 = 0 (No solution)

For player 2:

Expected Payoff = p2(-10) + (1-p2)(+1)

= -10p2 + 1 + p2 - p2

= -9p2 + 1

To maximize this expected payoff, we set the derivative equal to zero:

d/dp2 (-9p2 + 1) = -9 = 0

-9 = 0 (No solution)

There is no Nash equilibrium in pure strategies because neither player has a strategy that maximizes their expected payoff.

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