3x^(2) +4x-4 solve (find the x-intercepts, which are the solutions); show answer in set notation.

The coordinates of the midpoint of line segment PQ after rotating it 90 degrees clockwise around the origin are (5/2, -3/2).

To find the coordinates of the midpoint of the line segment PQ after rotating it 90 degrees clockwise around the origin, we can follow these steps:

Determine the original midpoint of PQ:

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are given by:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

For PQ with endpoints P(1,5) and Q(-4,0), the original midpoint is:

Midpoint = ((1 + (-4))/2, (5 + 0)/2)

= (-3/2, 5/2)

Rotate the original midpoint 90 degrees clockwise:

To rotate a point (x, y) 90 degrees clockwise around the origin, we swap the x and y coordinates and negate the new x coordinate. So, for the original midpoint (-3/2, 5/2), after rotating 90 degrees clockwise, the new coordinates of the midpoint are:

Rotated Midpoint = (5/2, -3/2)

Therefore, the coordinates of the midpoint of line segment PQ after rotating it 90 degrees clockwise around the origin are (5/2, -3/2).

This means that the midpoint, which was initially in the second quadrant (negative x and positive y), is now in the fourth quadrant (positive x and negative y) after the rotation.

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Answer:

(7,4)

Step-by-step explanation:

Midpoint Formula = \((x_{1} + x_{2}/2)=\) x coordinate of midpoint

same for y coordinate of midpoint

so

2=-3+x/2

4=-3+x

x=7

for y

5=6+y/2

10=6+y

y=4

therefore B(7,4)

Answer:

13

Step-by-step explanation:

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The correct answer is D. All of the above. The distribution of scores has no mode.

A. The mean score can be calculated by summing up all the scores and dividing by the number of scores. In this case, (15 + 28 + 25 + 24 + 26 + 29 + 30) / 7 = 24.9. So, the mean score is 24.9.

B. The median score is the middle value when the scores are arranged in ascending order. In this case, when we arrange the scores in ascending order, we have: 15, 24, 25, 26, 28, 29, 30. The middle value is 26, which is an actual score in the test. Therefore, the statement "the median score is not an actual score in the test" is false.

C. The mode is the value(s) that appear most frequently in the distribution. In this case, there is no score that appears more than once, so the distribution of scores has no mode.

Since all the statements A, B, and C are true, the correct answer is D. All of the above.

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Answer:

m<S = 68 degrees.

m<D = 112 degrees

Step-by-step explanation:

Opposite angles of a parallelogram are equal so:

4x - 4 = 3x + 14      

4x - 3x = 14 + 4

x = 18.

So m < S = 4(18) - 4

= 72-4

= 68 degrees.

Angles on the same side of a parallelogram are supplementary, so

m < D = 180 - 68

= 112 degrees.

The coefficient of variation is a better measure of stand-alone risk than standard deviation because it is a standardized measure of risk per unit.

The coefficient of variation is a measure of relative risk that compares the standard deviation of a dataset to its mean. It is calculated as the ratio of the standard deviation to the mean, multiplied by 100 to express it as a percentage. The formula for the coefficient of variation (CV) is as follows:

CV = (Standard Deviation / Mean) * 100

The coefficient of variation provides a standardized measure of risk per unit of mean. It is particularly useful when comparing the risk of different datasets or investments that have different scales or units of measurement. By dividing the standard deviation by the mean, the coefficient of variation allows for a comparison of the relative variability or riskiness of different datasets or investments.

In this sense, the coefficient of variation is considered a better measure of stand-alone risk than the standard deviation alone because it takes into account the magnitude of the mean. It provides a way to assess and compare the risk of different datasets or investments in a standardized manner, regardless of their scales or units of measurement.

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In light of this, the only ordered pair that can solve the system of equations y=2x-2 is (1,0).

In mathematics, a value or combination of values is referred to as a solution if they fulfil a certain equation, condition, or system involving equations or inequalities. For instance, x = 2 is the answer to the problem 2x + 3 = 7 since substituting x = 2 into the equation results in the equation being true. Depending on the kind of equation or problem, there are different ways to find the solutions. While some equations can be solved algebraically by manipulating them according to algebraic rules, others might need to be solved numerically by iteration or approximation.

given

C. (0,2) y = 2x - 2 , y = 2(0) - 2 , y = -2

Thus, the ordered pair (0,2) cannot be used as the system of equations' solution.

D. (0,0) , y = 2x - 2 , y = 2(0) - 2

y = -2

In light of this, the ordered pair (0, 0) cannot be a solution to the system of equations.

E. (0,-2) y = 2x - 2 , y = 2(0) - 2 , y = -2

Thus, the ordered pair (0,-2) is not a solution to the equation system.

F. (1,1) y = 2x - 2 , y = 2(1) - 2 , y = 0

The ordered pair (1,1) is not the system of equations' solution, thus.

In light of this, the only ordered pair that can solve the system of equations y=2x-2 is (1,0).

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Answer:

-12m - 9

Step-by-step explanation:

-3(4m+3)

-12m - 9

So, the answer is -12m - 9

Step-by-step explanation:

4x + 2y = 10 --------(1)

2x + 3y = 33 -----------(2)

Multiply 2 with eq. (1) and 4 with eq. (2)

8x + 4y = 20 ____________(3)

8x + 12y = 132 ______(4)

Subtracting (3) from (4),

8x + 4y = 20

- 8x -12y = -132

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

0 -8y = -112

y = 112/8

y = 4 is the answer.

Putting the vakue of y in eq. (2),

2x + 12 = 33

2x = 33-12

2x = 21

x = 21/2 is the answer.

Answer: (x,y) = (175/29, 22/29)

Step-by-step explanation:

solve the equation

y = 8 - 6/5x

3y - 8x = -46

substitute the value of y

3(8 - 6/5x) - 8x = -46

solve the equation

x = 175 / 29

substitute the value of x

y = 8 - 6/5(175/29)

solve the equation

y = 22/29

answer: (x,y) = (175/29, 22/29)

Answer:

An engaging digital escape room for students learning to find slope given graphs, tables and coordinate pairs. Students must unlock 5 locks by answering 20 slope questions. Questions are grouped 4 per puzzle, resulting in five 4-letter codes that will unlock all 5 locks.

It's also known as the room of escape, for the Learners who lean digitally can find slopes given graphs, tables, and coordinate pairs. Learners will open 5 locks/questions by solving the 20 slope questions.

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(a) The probability tree diagram summarizes the possible outcomes of Spinner A and Spinner B. Spinner A can land on either 2 or 3, and Spinner B can also land on 2 or 3. The outcomes are represented by (A, B) pairs.

(b) Probability of A=2, B≠2: 1/2. Favorable outcomes: (2,3), (2,2). Total outcomes: 4.

(a) The probability tree diagram for the given scenario can be completed as follows:

```

                   Spinner A

               /             \

             2                3

      Spinner B         Spinner B

       /     \          /      \

     2        2        2        3

   (2, 2)  (2, 3)  (3, 2)  (3, 3)

```

In the probability tree diagram, the branches represent the possible outcomes of each spinner, and the numbers in parentheses denote the outcome of each spin (Spinner A, Spinner B).

(b) To calculate the probability that Spinner A lands on 2 and Spinner B does not land on 2, we need to find the probability of the outcome (2, not 2) from the probability tree diagram.

From the diagram, we can see that there are two favorable outcomes: (2, 3) and (2, 2), where Spinner A lands on 2, but Spinner B does not land on 2.

The total number of possible outcomes is four, as there are four possible combinations of Spinner A and Spinner B outcomes: (2, 2), (2, 3), (3, 2), (3, 3).

Therefore, the probability of Spinner A landing on 2 and Spinner B not landing on 2 is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 2 / 4 = 1/2

Hence, the probability that Spinner A lands on 2 and Spinner B does not land on 2 is 1/2.

In summary, the probability that Spinner A lands on 2 and Spinner B does not land on 2 is 1/2, which can be obtained by analyzing the probability tree diagram and calculating the ratio of favorable outcomes to the total number of possible outcomes.

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Answer:

Just watch the video

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

because if you add three to 8 you would get 21.

Answer:

2/5

Step-by-step explanation:

Add up everything which would be 15, then put the number of ovens their was as the numerator. Then you'd have 6/15 so then just simplify!

The coordinates of point A are (-1/2,-2). It is the point where both lines intersect at point A.

The intersection (x,y)  of two lines in a plane could be found by solving a linear system of two unknowns (x and y) and two equations (one for each line.)

In this question, the equation of the two lines is y= 4x and y= -2, respectively. The corresponding system of equations would be:

y=4x

y= -2

Solve this system for:

x= (-1/2)

Therefore:

x= -1/2

y= -2

Thus, the coordinates of this intersection (x,y)  would be (-1/2, -2).

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A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.

the solution to be eliminated is -0.2s this is because time do not have negative values

ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.

It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.

Considering the given function, the answer is both real one is negative the other is positive.

The solution in this case represents time, and time of negative value do not apply in real life

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Answer:

1.7y

2.-14s

3.-2f

4.23d

5.19r

6.-2s

7.-9q

8.24h

9.10q

10.23d

Step-by-step explanation:

I TRY MY BEST TO SOLVE IT

HOPE IT HELPS

CORRECT ME IF I AM WRONG

1. 7y

2. 28 + 14s

3. -2f - 4

4. 16 + 8d

5. 10 + 9r

6. -18+ 16s

7. -8q

8. 6h - 18

9. 12q - 2

10. 10d -27

Answer:

28(27)(26) assuming that nobody can get multiple designations.

Step-by-step explanation:

Answer:

y=-2/3*x-1

Step-by-step explanation:

3x-2y+5=0

Solving for y

-2y=-3x-5

y=3/2*x+5/2

-2/3 is perpendicular to 3/2, so the slope must be -2/3

y=-2/3*x+b

Substituting x=0 and y=-1,

-1=b

Therefore, the equation of the line is y=-2/3*x-1

Answer:

y = -2/3x - 1

Step-by-step explanation:

Step 1: The first thing that we need to do is to find the slope of a given line

The explicit equation of a given line is: y = 3/2x + 5/2

So the slope is m = 3/2:

Step 2: The perpendicular slope (m1) is negative reciprocal of the slope m.

m1 = -2/3

So the perpendicular line will have a slope of m1 = -2/3

Step 3: Now we have a point and the slope so we can use point-slope form, which is: y - y0 = m1(x - x0)

In this example we have: m1 = -2/3, x0 = 0 and y0 = -1. After substitution we have:

y - y0 = m1(x - x0)

y - (-1) = -2/3(x - 0)

y + 1 = -2/3x + 0

y = -2/3x + 0 - 1

y = -2/3x - 1

Answer:

28

Step-by-step explanation:

1.54 divided by 0.055 = 28

Answer:

Part A: 100

Part B: 625

Step-by-step explanation:

Part A equation: 25 x 4 = 100

Part B equation: 25 x 25 = 625

Answer: The highest degree of expression is 3.

The yearly cost of insurance of home is $1475.

What is cost?

Cost is an amount to be spent to buy something or obtain something.

Given that,

The selling price of home  is $118,000,

The cost of insurance on home is 0.0125 times of price of home,

The cost of insurance = 118,000× 0.0125

                                     =    1475

The cost of insurance is $1475.                                

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Answer:

Yes, they do.

Step-by-step explanation:

They both pass through the same points of -2 on the x and y axis.

The theme of each epic poem is sublime, elegant, and has universal significance. It may not be an insignificant theme, which is only limited to the personality or the locality of the poet. It deals with the entire humanity.

Epic poem

An epic poem, or simply an epic, is a lengthy narrative poem typically about the extraordinary deeds of extraordinary characters who, in dealings with gods or other superhuman forces, gave shape to the verse mortal universe their descendants.

'epic' could refer to all poetry in dactylic hexameter , which included not only Homer but also the wisdom poetry of Hesiod, the utterances of the Delphic oracle.

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If the cost of one paperback book is less than $1, he would receive even more change.

To solve this problem, we need to know the cost of one paperback book. Unfortunately, that information is missing from the question. Without it, we cannot determine the total cost of the 5 paperback books and therefore cannot calculate Prakash's change.

However, we can make an educated guess based on the fact that the question mentions both paperback and hardcover books. Typically, hardcover books are more expensive than paperbacks, so we can assume that the cost of one paperback book is less than the cost of one hardcover book.

Assuming that each hardcover book costs $10, the total cost of 3 hardcover books would be $30. If Prakash gives the clerk $20 bills, he would pay $60 in total. If we subtract the cost of the 3 hardcover books ($30) from the total amount paid ($60), we are left with $30.

This is the maximum amount of change Prakash could receive if each paperback book costs $1.

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Answer:

n= - 1

Step-by-step explanation:

3n - 5 = -8(6+5n)

3n-5 = -48 - 40n

3n+40n = -48 + 5

43n = -43

n=-1

Answer:

y=2x^2−16x+30

Step-by-step explanation:

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