Solve:
x2 - 6x + 58=0
O A. {2+191,2 - 19i
O B. {2+9i, 2 - 9i}
O c. {7+3i, 7 – 3i}
O D. {3+ 7i, 3 - 7i}

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer:

22.5

Step-by-step explanation:

v flight getting in intend kitchen dandruff gtg bunny

Mr. Bilo received 8 P50-bills, 5 P100-bills, and 5 P20-bills.

The number of P50, P100, and P20 bills Mr. Pilo got is calculated as follows;

Amount from P50-bills: 2/5 x P1,000 = P400

Amount from P100-bills: 1/2 x P1,000 = P500

The total amount he received from the P50-bills and P100-bills = P400 + P500

The total amount he received from the P50-bills and P100-bills = P900. The amount left to be changed into P20-bills = P1,000 - P900

The amount left to be changed into P20-bills = P100.

The number of bills will then be:

Number of P50-bills: P400 ÷ P50 = 8

Number of P100-bills: P500 ÷ P100 = 5

Number of P20-bills: P100 ÷ P20 = 5

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Complete question:

Mr Bilo has a P1,000-bill and asked someone to exchange in to 2/5 P50-bill and 1/2 P100-bill and the rest into 20-bill. How many P50,P100 and P20 bills did he get.

Step-by-step explanation:

b²-4ac

(-1)²-4(2×1)

1-8

-7

Now -7<0 therefore it has two complex roots or nonreal roots

According to the question the resulting table would have 109 rows.

Table is a piece of furniture with a flat top and one or more legs, used as a surface for working at, eating from or on which to place things. Tables come in a variety of materials, shapes, and sizes and are used in many different settings, including homes, offices, and commercial establishments.

This is because all 90 players who played for 1 day would be joined, plus the 10 players who played across 2 days. Of the 90 players who played for 1 day, 82 would have 1 row each from the join, 7 would have 2 rows from the join, and 1 would have 0 rows from the join (since it was not in Table B). Of the 10 players who played across 2 days, 9 would have 1 row each from the join, and 1 would have 2 rows from the join. This adds up to a total of 109 rows.

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Answer:

The carpet will cost $52.

Step-by-step explanation:

hope this helps!!!

Answer:

3/4 cups

Step-by-step explanation:

1/8 for 1/3 refipe

1/8 * 3 = 3/8

3/8 for 1 whole recipe

3/8 * 2 = 6/8 = 3/4

3/4 for 2 whole recipes

=======================================================

Explanation:

Start by graphing the system of equations

\(\begin{cases}x-y = 6\\2x+5y = -4\\ x = -1\end{cases}\)

This is represented as the boundary lines. The first two equations produce solid boundary lines. The last equation makes a dashed boundary line. We use solid boundary lines whenever "or equal to" is involved with the inequality sign.

Note how 7 separate regions result from the intersecting lines. Check out the diagram below to see the different regions.

--------------------------

To graph \(x-y \le 6\) which is the same as \(y \ge x-6\), we will shade in regions 1, 2, 4 and 5. All of these regions are above the boundary line y = x-6

Ignore any other region (3,6, and 7) since they don't make the first inequality true.

Of regions 1, 4, 5 and 6, only regions 4 and 5 are below the boundary line 2x+5y = -4. So we cross off regions 1 and 6.

We're now down to just two regions: 4 and 5

We cross off region 5 because it is not to the right of the vertical line x = -1

All that's left is region 4. Any point in region 4 makes all of the three original inequalities true.

So the solution will only have region 4 shaded like choice D shows.

Given statement solution is :- We cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

The given sequence is: 5 2 1 4 0 0 7 2 8 1 m m 7 m 5 m A.

To find the missing value, let's analyze the pattern in the sequence. We can observe the following pattern:

The first number, 5, is the sum of the second and third numbers (2 + 1).

The fourth number, 4, is the sum of the fifth and sixth numbers (0 + 0).

The seventh number, 7, is the sum of the eighth and ninth numbers (2 + 8).

The tenth number, 1, is the sum of the eleventh and twelfth numbers (m + m).

The thirteenth number, 7, is the sum of the fourteenth and fifteenth numbers (m + 5).

The sixteenth number, m, is the sum of the seventeenth and eighteenth numbers (m + A).

Based on this pattern, we can deduce that the missing values are 5 and A.

Now, let's calculate the missing value:

m + A = 5

To find a specific value for m and A, we need more information or equations. Without any additional information, we cannot determine the exact values of m and A. Therefore, we cannot find the missing value from the given options (3656, 2739, 1841, 5418, or 3556).

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The statement "Volume A = Volume B" is true. The cross section of rectangular prism A measures 6 units by 4 units.

To determine the relationship between the volumes of rectangular prism A and triangular prism B, we need to calculate their volumes and compare them.

For rectangular prism A:

Cross-sectional dimensions: 6 units by 4 units

Length: 7.22 units

Volume of A = Length * Width * Height

= 7.22 units * 6 units * 4 units

= 173.28 units³

For triangular prism B:

Base dimensions: 8 units by 6 units

Height: 7.22 units

Volume of B = (Base * Height) / 2

= (8 units * 6 units * 7.22 units) / 2

= 173.28 units³

Comparing the volumes of A and B, we find that the volume of rectangular prism A is equal to the volume of triangular prism B.

Therefore, the statement "Volume A = Volume B" is true.

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The Linnaean class system provides a framework for understanding the diversity of life on Earth by grouping similar organisms together based on shared characteristics.

By comparing and contrasting the definitions of each class, we can see how different groups of animals are related to each other and how they differ in terms of their biological traits.

The Linnaean class system is a way of organizing living things based on shared characteristics. Let's compare and contrast the definitions of the Linnaean classes using a Venn diagram.

First, we have the class Mammalia, which includes all animals that have hair or fur, produce milk to feed their young, and have specialized teeth. This class overlaps with the class Aves, which includes all birds, because some birds have specialized beaks and feathers that are similar to mammalian hair and teeth. However, birds do not produce milk.

Next, we have the class Reptilia, which includes animals that are cold-blooded, lay eggs, and have scales or plates on their skin. This class overlaps with both Mammalia and Aves in terms of species that lay eggs, such as monotremes (platypus and echidnas) and some birds (ostriches and emus). However, reptiles lack specialized teeth and do not produce milk.

Finally, we have the class Amphibia, which includes animals that are cold-blooded, breathe through their skin, and undergo metamorphosis from a water-dwelling larval stage to a land-dwelling adult stage. This class overlaps with Reptilia in terms of some shared characteristics, but Amphibia also lacks specialized teeth and does not lay eggs with hard shells like reptiles.

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Answer:

x = 2

Step-by-step explanation:

To solve the equation, you need to set both functions equal to each other and simplify to find the value of "x".

f(x) = 2x + 1

g(x) = -x + 7

f(x) = g(x)                                              <----- Given equation

2x + 1 = -x + 7                                      <----- Insert functions

3x + 1 = 7                                             <----- Add "x" to both sides

3x = 6                                                  <----- Subtract 1 from both sides

x = 2                                                    <----- Divide both sides by 3

Answer:

-1 ≤ x ≤ 4

-3≤ y ≤ 4

Step by Step

See the coordinate of first point and the last point

Answer: I think b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is D I got 100% on the test

Answer:

\(x+3y=8\)

Step-by-step explanation:

From inspection of the given graph, two points on the line are:

Substitute these points into the slope formula to calculate the slope of the line:

\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{3-4}{-1-(-4)}=-\dfrac{1}{3}\)

Substitute the found slope and one of the points into the point-slope formula:

\(\implies y-y_1=m(x-x_1)\)

\(\implies y-4=-\dfrac{1}{3}(x-(-4))\)

\(\implies y-4=-\dfrac{1}{3}(x+4)\)

\(\boxed{\begin{minipage}{5.5 cm}\underline{Standard form of a linear equation}\\\\$Ax+By=C$\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are constants. \\ \phantom{ww}$\bullet$ $A$ must be positive.\\\end{minipage}}\)

Multiply both sides by 3:

\(\implies 3(y-4)=3 \cdot -\dfrac{1}{3}(x+4)\)

\(\implies 3y-12=-(x+4)\)

\(\implies 3y-12=-x-4\)

Add x to both sides:

\(\implies 3y-12+x=-x-4+x\)

\(\implies 3y-12+x=-4\)

Add 12 to both sides:

\(\implies 3y-12+x+12=-4+12\)

\(\implies x+3y=8\)

Answer:

x + 3y = 8

Step-by-step explanation:

The value of the expression evaluated for x = 12 which is -26

How to simplify equations?

(5/6)( (1/2)(12) + 6) - 3(12) =

(5/6)( 6 + 6) - 3(12) =

(5/6)(12) - 3(12) =

(5/6)(12/1) - 3(12) =

60/6 - 3(12) =

10 - 36

-26

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Full question:

consider the expression 5/6(1/2x+6)-3x if x =12

Answer: 10

Step-by-step explanation:

Step 1: Subtract 7 from both sides.

1

2

x+7−7=12−7

1

2

x=5

Step 2: Multiply both sides by 2.

2*(

1

2

x)=(2)*(5)

x=10

Answer:

5

Step-by-step explanation:

The solutions of the system of equations are:

(2, -9) and (1, -8)

Here we want to solve the system of equations:

y = x² - 4x - 5

y = -x - 7

To solve this we can write:

-x - 7 = x² - 4x - 5

We can rewrite this as:

x² - 4x - 5 + x + 7 = 0

x² - 3x + 2 = 0

Using the quadratic formula we will get the solutions:

\(x = \frac{3 \pm \sqrt{(-3)^2 - 4*1*2} }{2*1}\\ \\x = \frac{3 \pm 1}{2}\)

Then the two solutions are:

x = (3 + 1)/2 = 2

x = (3 - 1)/2 = 1

Evaluating the line in these values:

when x = 2

y = -2 - 7 = -9

when x = 1

y = -1 - 7 = -8

Then the solutions are (2, -9) and (1, -8)

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After 53 hours, approximately 39.4 mg of the substance will remain.

We can use the formula for exponential decay to solve this problem. Let A be the initial amount of the substance, t be the time elapsed, k be the decay constant, and N be the amount of substance remaining after time t. Then we have:

\(N=Ae^{-kt\)

We are given that the initial amount of the substance is 120 mg, and that after 33 hours, 60 mg of the substance remains. Using this information, we can write:

\(60 = 120e^{-33k}\)

\(e^{-33k}=\frac{1}{2}\)

Taking the natural logarithm of both sides, we get:

-33k = ln(1/2)

k = ln(2)/33

Now we can use this value of k to find the amount of substance remaining after 53 hours. We have:

\(60 = 120e^{-53\frac{ln(2)}{33} }\)

= 39.4

Therefore, after 53 hours, approximately 39.4 mg of the substance will remain.

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Answer:

+3, 0

Step-by-step explanation:

y-intercept for f(x) is when x = 0, so it is +1, 0

y-intercept for g(x) is when x = 0, so it is +3, 0

y-intercept for h(x) is when x = 0, so it is -2, 0

The y-intercept of a function is the point where x = 0.

The ordered pair that represents the greatest y-intercept is (0,3)

The functions are given as:

\(\mathbf{f(x) = |x - 1| + 2}\)

\(\mathbf{g(x) = (x + 3)}\)

\(\mathbf{h(x) = (x + 1) - 3}\)

Set x = 0, and solve the functions

\(\mathbf{f(x) = |x - 1| + 2}\)

Substitute 0 for x

\(\mathbf{f(0) = |0 - 1| + 2}\)

\(\mathbf{f(0) = |- 1| + 2}\)

Remove absolute brackets

\(\mathbf{f(0) = 1 + 2}\)

\(\mathbf{f(0) = 3}\)

\(\mathbf{g(x) = (x + 3)}\)

Substitute 0 for x

\(\mathbf{g(0) = (0 + 3)}\)

\(\mathbf{g(0) = 3}\)

\(\mathbf{h(x) = (x + 1) - 3}\)

Substitute 0 for x

\(\mathbf{h(0) = (0 + 1) - 3}\)

\(\mathbf{h(0) = 1 - 3}\)

\(\mathbf{h(0) = - 2}\)

Hence, the ordered pair that represents the greatest y-intercept is (0,3)

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Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

3x(x−2)=0

Step 1: Simplify both sides of the equation.

3×2−6x=0

For this equation: a=3, b=-6, c=0

3×2+(−6x)+0=0

Step 2: Use quadratic formula with a=3, b=-6, c=0.

\(x=\frac{-b ±\sqrt{b^2-4ac} }{2a}\)

x=2 or x=0

hope it helps other wise I am sorry

The perimeter of the figure is 53.7.

Perimeter can be defined as the total distance around a object.

To calculate the perimeter of the the figure below, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the perimeter of the figure is 53.7

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The minimum score required for admission to the university is 3.6.

To find the minimum score required for admission to the university, we need to determine the GRE score that corresponds to the 40th percentile of the distribution.

First, we need to find the z-score that corresponds to the 40th percentile. We can use a standard normal distribution table or a calculator to find this value.

Using a standard normal distribution table, we can look up the z-score that corresponds to a cumulative area of 0.40, which is approximately 0.25.

The z-score corresponding to a cumulative area of 0.25 is -0.25.

Next, we can use the formula for transforming a z-score to a raw score:

z = (x - mu) / sigma

where:

z is the z-score (-0.25 in this case)

x is the raw score we want to find

mu is the mean of the distribution (3.8 in this case)

sigma is the standard deviation of the distribution (0.8 in this case)

Solving for x, we get:

\(x = z\times sigma + \mu\)

\(x = (-0.25)\times 0.8 + 3.8\)

x = 3.6.

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A. The Total cost of producing 10 units is $300.

B. The price charged by a monopolist is higher than that charged by firms in an oligopoly market. As a result, some firms will exit the market, supply will shift left, and prices will rise.

C. The MC (Marginal Cost) is $20.

D. The MC is $20.

E. The competitive firm's profit by producing and selling 30 units of output is zero (no profit or loss).

F. Some firms will exit the market, supply will shift right, and prices will fall.

G. The Total cost of producing 30 units is $300.

H. The competitive firm's profit by producing and selling 30 units of output is negative (a loss)

A. If the average total cost (ATC) of producing 10 units is $30, then the total cost of producing 10 units is calculated by multiplying the ATC by the number of units: $30 * 10 = $300.

B. In a monopolistic market, the monopolist has the ability to set higher prices compared to firms in an oligopoly market, where there is some degree of competition. As a result, in an oligopoly market, some firms may find it unprofitable to compete and exit the market. This leads to a decrease in supply, causing prices to rise.

C. and D. The marginal cost (MC) is the additional cost incurred when producing one additional unit of output. If the total cost (TC) increases from $175 to $225 when the firm increases output from 5 to 6 units, the change in TC is $225 - $175 = $50. Since the firm is producing one additional unit, the MC is calculated by dividing the change in TC by the change in output: $50 / 1 = $50.

E. In a competitive market, firms aim to maximize their profits. If the price is $10 and the average total cost (ATC) is $58, the firm's profit per unit is $10 - $58 = -$48 (a loss). By producing and selling 30 units of output, the total profit is calculated by multiplying the profit per unit by the number of units: -$48 * 30 = -$1,440. Therefore, the competitive firm's profit is zero (no profit or loss).

F. When firms in a competitive market are making losses, some firms may find it unsustainable to continue operating and choose to exit the market. As a result, the overall supply in the market decreases, leading to a leftward shift in the supply curve. This reduction in supply can eventually lead to an increase in prices.

G. The total cost of producing 30 units can be calculated by multiplying the ATC by the number of units: $10 * 30 = $300.

H. In a competitive market, if the firm's profit is negative (a loss), it means that the firm's costs exceed its revenue. Therefore, the competitive firm's profit by producing and selling 30 units of output would be negative (a loss).

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Answer:

its b

Step-by-step explanation:

Answer:it’s b

Step-by-step explanation:

Answer:

y=2x+4

Step-by-step explanation:

First find out the slope, pick out 2 points. For ex. (-2,0) & (0,4)

Slope=4-0/0-(-2)

=4/2

=2

Y-intercept is 4.

Slope-Intercept form: y=mx+b

m is slope & b is y-intercept

y=2x+4

HOPE I helped!

The given statement " chi-square tests are used for testing hypotheses of the association between two categorical values. " is true

The term chi square test defines if there is a significant relationship between two nominal variables.  

Here we have given the statement, chi-square tests are used for testing hypotheses of the association between two categorical values.

And we need to find whether the statement is true or not.

As per the definition of chi square test, we know that the frequency of each category for one nominal variable is compared across the categories of the second nominal variable.  

Here we also know that the data can be displayed in a contingency table where each row represents a category for one variable and each column represents a category for the other variable.  

Therefore, based on these facts the given statement is true.

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Answer:

\(1.612\times10^4\)

Step-by-step explanation:

In order to find the notation of a number find the total number of 0's that the number has, and realize that all whole numbers have a invisible decimal point.

\(1.612\times10^4\)

Exponent is positive to move the decimal point to the right four times

\(1.6.1.2.0.\)

\(= 16,120\)

Hope this helps.