If the discriminant of a quadratic equation is equal to -8, which statement describes the roots'
O There are two complex roots.
O There are two real roots.
• There is one real root.
• There iS one complex root.

Step-by-step explanation:

t=20/(r-50)t=20/r-50

Answer: 1 1 3 8

Step-by-step explanation: Hope This Helps :)

The solution of the inequality will be,

⇒ \(\left \{ {{x < 4} \atop {x \leq 12}} \right. \\\\\)

The solution on the number line is shown in image.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

5x - 2 < 18

5x - 2 ≤ 58

Now, Solve the inequality for x as;

\(\left \{ {{5x - 2 < 18} \atop {5x - 2 \leq 58}} \right. \\\\\)

Add 2 both sides;

\(\left \{ {{5x - 2 + 2 < 18 + 2} \atop {5x - 2 + 2\leq 58+ 2}} \right. \\\\\)

\(\left \{ {{5x < 20} \atop {5x \leq 60}} \right. \\\\\)

Divide by 5 both sides;

\(\left \{ {{x < 4} \atop {x \leq 12}} \right. \\\\\)

Thus, The solution of the inequality for x is;

\(\left \{ {{x < 4} \atop {x \leq 12}} \right. \\\\\)

The solution on the number line is shown in image.

Learn more about the inequality visit:

https://brainly.com/question/24372553

#SPJ5

Given points: (3,2) and (-1,-4)

\(\boxed{ \sf slope : \frac{y_2 - y_1}{x_2 - x_1} }\)    where (x1, x2), (y1, y2)

Here slope:

\(\hookrightarrow \sf \dfrac{-4-2}{-1-3}\)

\(\hookrightarrow \sf \dfrac{-6}{-4}\)

\(\hookrightarrow \sf \dfrac{3}{2}\)

Thus slope: 3/2     [in simplest fraction]

Slope:-

Answer: A

Step-by-step explanation: Translate up 1 unit, over to the right 5

Answer:

Step-by-step explanation:

Given ∆PQR with ∠P = (4x-9)°, ∠Q = (6x+2)°, and ∠R = x°, you want an equation to find x, and the measures of the angles.

The equation expresses the fact that the sum of angles in a triangle is 180°.

  ∠P +∠Q +∠R = 180°

  (4x -9)° +(6x +2)° +x° = 180°

  11x -7 = 180 . . . . . . . . . . . . divide by °, collect terms

  11x = 187 . . . . . . . . . add 7

  x = 17 . . . . . . . . divide by 11

The angle measures are found by substituting for x in the angle expressions:

  ∠P = (4·17 -9)° = 59°

  ∠Q = (6·17 +2)° = 104°

  ∠R = 17°

A.)  Both services will cost the same if it is for a 3 hours service.

B.) 16+9X=20+7X.

=>9x-7x=20-16.

=>2x=4.

=>x=4/2.

=>x= 2.

Therefore, Hans walks 24500 meters in 7 days using equation.

To convert kilometers to meters, we use the conversion factor of 1 kilometer = 1000 meters.

Hans walks 3.5 km every day.

To find how far he walks in 7 days, we multiply the distance walked in one day (3.5 km) by the number of days (7):

3.5 km * 7 = 24.5 km

Since we want the answer in meters, we can convert the result to meters by multiplying by 1000:

24.5 km * 1000 = 24500 meters

Therefore, Hans walks a total of 24500 meters in 7 days.

To know more about equation,

https://brainly.com/question/31877284

#SPJ11

In order to find the key in the array, the code above defines a recursive_linear_search function that calls a recursive_linear_search_helper function. The array to search, the key to search for, and the index to start searching are the three arguments that the recursive_linear_search_helper function requires.

Iterative linear search is a method of searching for a particular value in an array or list of values. Recursion is a technique in computer programming in which a function calls itself to solve a problem.

You can change an iterative linear search to a recursive one by using a helper function that recursively searches the array.

Here is an example of how you can change this iterative linear search into a recursive linear search:

```def recursive_linear_search(array, key):

return recursive_linear_search_helper(array, key, 0)

def recursive_linear_search_helper(array, key, index):

if index >= len(array):

return -1elif array[index] == key:

return indexelse:

return recursive_linear_search_helper(array, key, index + 1)```

The code above defines a recursive_linear_search function that calls a recursive_linear_search_helper function to search for the key in the array. The recursive_linear_search_helper function takes three arguments: the array to search, the key to search for, and the index to start searching from.

It returns the index of the key if it is found, or -1 if it is not found. If the index is greater than or equal to the length of the array, then the function returns -1, indicating that the key was not found. If the value at the current index is equal to the key, then the function returns the index. Otherwise, it recursively calls itself with the next index.

To know more about  linear search refer here :

https://brainly.com/question/13143459#

#SPJ11

Answer:

The opposite of a positive number will never be a positive number. For two nonzero numbers to be opposites, zero has to be in between both numbers, and the distance from zeroto one number has to equal the distance between zero and the other number.

Step-by-step explanation:

Step-by-step explanation:

Tanø=opp/adj

Tan30=x/7. (× b.s 7)

x=7Tan30

x= 4.04

The solution of equation is x=-3

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given

The equation;√x+3=-6

Now,

√x=-6-3

√x=-9

x=-3

Therefore the answer of the given equation will be -3

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

A type of research study that applies statistical analysis to generalize findings from a smaller sample to a larger population is considered inferential research.

A type of research study that derives meaning from statistical analysis and aims to apply or generalize knowledge from a smaller sample of subjects to a larger population is typically considered inferential research.

Inferential research involves making inferences or drawing conclusions about a population based on data collected from a sample. It uses statistical techniques to analyze the sample data and make inferences or predictions about the larger population. The goal is to generalize the findings from the sample to the broader population from which it was drawn.

Inferential research often involves hypothesis testing, where researchers formulate hypotheses about the population and collect sample data to determine whether the data supports or rejects the hypotheses. Statistical analysis plays a crucial role in inferential research by providing methods to estimate population parameters, test hypotheses, calculate confidence intervals, and assess the significance of findings.

The purpose of inferential research is to make valid and reliable inferences about the population based on the sample data, allowing researchers to draw meaningful conclusions and apply the findings to a larger context. It helps researchers gain insights into the underlying relationships, patterns, or effects within the population they are studying, even when they are unable to collect data from the entire population.

for such more question on population

https://brainly.com/question/13769205

#SPJ11

The maximum fishery biomass that can be removed yearly while still sustaining the population is known as the Maximum Sustainable Yield (MSY).

The Maximum Sustainable Yield (MSY) represents the maximum amount of fishery biomass that can be harvested from a population each year while maintaining its long-term sustainability. It is a crucial concept in fisheries management, aiming to balance resource utilization with the need for population replenishment.

By setting harvest limits below the MSY level, fish stocks can regenerate, ensuring the continuation of the fishery in the future. MSY takes into account various factors such as population growth rates, reproductive potential, and ecosystem dynamics to determine a sustainable level of extraction.

Proper adherence to MSY principles helps prevent overfishing and promotes the conservation of aquatic resources.

To know more about growth visit -

brainly.com/question/12989388

#SPJ11

We must first transform matrix A into a triangular or diagonal matrix in order to determine its determinant.

Using the row operations to change the matrix, having three rows and five columns, in a triangular matrix, having three rows and three columns.

combining the first and second rows, then the first and third rows:

(1 0 2 0 3 0 1 2 3 4 1 0 3 0 5         (1 0 0 2 4            (1 0 3 0 8        (3 0 5 2 11

  0 0 0 2 4                                +   0 0 0 2 4)    +     1 0 3 0 8)   =   0 0 0 2 4

   1 0 3 0 8)                                                                                      2 0 6 0 16)

subtracting the second and third rows from the first row

We get a triangular matrix

(3 0 5 2 11           (0 0 0 2 4        (2 0 6 0 16             (1 0 5 0 3

0 0 0 2 4      -     0 0 0 2 4)    -    2 0 6 0 16)     =     0 0 0 2 4

2 0 6 0 16)                                                                 0 0 0 0 0)

Now that the matrix is triangular, we can use the determinant formula for triangular matrices, which states that the determinant of a triangular matrix is equal to the product of the diagonal elements. The diagonal elements of matrix A are 1, 0, and 0, so the determinant of matrix A is 0.

Therefore, the determinant of matrix A is 0, and we can find it by only using the three basic properties in Treil section the determinant formula for triangular and diagonal matrices, and row or column operations.

To learn more about determinants: https://brainly.com/question/24254106

#SPJ4

Question

In triangle ABC, the bisectors of angle A, angle B, and angle C cut the opposite sides into lengths a1, and

a2, b1, and b2, and c1 and c2, respectively, labeled in order counterclockwise around triangle ABC for

a1 = 5/3, a2 = 10/3,b1 = 15/4. Find the perimeter of triangle ABC.

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplify this problem by dividing all three terms by 2:

x^2 + 20 = -4x

Rewrite this in standard form:

x^2 + 4x + 20

Take the coefficient of the x term and divide it by 2:  4/2 = 2

Square this result:  2^2 = 4

Between x^2 + 4x  and  20  add this 4, then subtract it:

x^2 + 4x + 4 - 4

Rewrite x^2 + 4x + 4 as the square of a binomial:

(x + 2)^2 - 4, or (x + 2)^2 = 4

By the fundamental theorem of calculus,

\(\displaystyle \int_1^2 \frac1x \, dx = F(2) - F(1) = \ln|2| - \ln|1| = \boxed{\ln(2)}\)

\(\dfrac{-4\tfrac13}{-\tfrac 34}\\\\\\=\dfrac{\tfrac{13}3}{\tfrac 34}\\\\\\=\dfrac{13}3 \times \dfrac 43\\\\\\=\dfrac{52}9\\\\\\=5 \dfrac 79\)

Answer:

1/324

Step-by-step explanation:

We have disproved the second implication, we can conclude that the statement "S = T if and only if S - T ⊆ T" is not true in general.

The "logical result or consequence that follows from a particular policy, idea, or action" is called a "implication" and it can be used to forecast how a particular action or decision will turn out.

To prove or disprove the statement "S = T if and only if S - T ⊆ T," we need to show two implications:

1. If S = T, then S - T ⊆ T.

2. If S - T ⊆ T, then S = T.

Let's consider each implication separately:

1. If S = T, then S - T ⊆ T:

If S = T, it means that every element in S is also in T, and every element in T is also in S. In this case, when we subtract T from S, the result will be an empty set since all elements of S are also in T. Therefore, S - T = ∅ (empty set). And since an empty set is a subset of any set, we can say that S - T ⊆ T.

2. If S - T ⊆ T, then S = T:

To disprove this implication, we need to find a counterexample. Let's consider the following example:

S = {1, 2, 3}

T = {1, 2}

In this case, S - T = {3}. And we can see that {3} is a subset of T because all elements in {3} (which is only 3) are also in T. However, S is not equal to T because S contains an element (3) that is not in T.

Therefore, we have shown a counterexample where S - T ⊆ T, but S is not equal to T. This disproves the implication.

Since we have disproved the second implication, we can conclude that the statement "S = T if and only if S - T ⊆ T" is not true in general.

Learn more about implication on:

https://brainly.com/question/30711964

#SPJ4

Answer:

I'm assuming the chessboard is square so 49cm square.

Step-by-step explanation:

Area of a square= side × side

7×7=49

Have a nice day.

The area of the chessboard is 49 square inches, and which side length is 7 inches.

To find the area of the chessboard, we need to calculate the product of its length and width.

In this case, since the chessboard is a square, the length, and width are equal.

Given that the side length of the chessboard is 7 inches, we can calculate the area as follows:

Area of the chessboard = side length x side length

Area of the chessboard = 7 inches x 7 inches

Area of the chessboard = 49 square inches

Therefore, the area of the chessboard is 49 square inches.

Learn more about the area of the square here:

brainly.com/question/1561162

#SPJ2

AnswerStep-by-step explanation:

To find out the errors made in the data plot, let's determine what the five-number summary of the data set that should be displayed by the box plot should be.

First, order the data set given:

1, 6, 26, 27, 30, 31, 33, 34, 59

The five-number summary are:

1. Min value = 1

2. Max value = 59

3. Median = 30

1, 6, 26, 27, (30),31, 33, 34, 59

4. Q1 = (26+6) ÷ 2 = 16

1, [6, 26], 27, (30), 31, 33, 34, 59

5. Q3 = (33+34) ÷ 2 = 33.5

1, 6, 26, 27, (30), 31, [33, 34], 59

The errors in the box and whisker plot are:

1. The min value was displayed as 0 instead of 1.

2. The first quartile (Q1) was displayed as 10 instead of 16

3. The third Quartile (Q3) was displayed as 35 instead of 33.5

4. The max value was displayed as 60 instead of 59.

Answer:

x=-6

Step-by-step explanation:

Move the -3 under 18 (18/-3), Then you get x=18/-3. Divide!

ANSWER: x=-6

Answer:

The x-intercept is (-5,0)

Step-by-step explanation:

Answer:

(-5,0)

X-axis coordinate number first, then y-axis.

Answer:

1.1217 x 10^10

Step-by-step explanation:

Since the question is Which number is larger than 1.1213 × 10^10 1.1217 x 10^10

is a number larger then 1.1213 × 10^10 because it has the same exponent as the problem in the question but 1.1217 has .0004 more then the problem in the question.

Answer:

10 cm

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other.

All sides are congruent.

The diagonals divide the rhombus into 4 congruent right triangles.

Applying Pythagoras' identity to 1 of the triangles with legs 6 and 8 and hypotenuse the side s of the rhombus, then

s² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

s = \(\sqrt{100}\) = 10

The list of the possible outcomes for spinning the spinner with four sectors A, B, C, D, and flipping a fair coin goes as follows,

AH, BH, CH, DH, AT, BT, CT, DT

The possible outcomes for spinning a spinner (assuming that the spinner has four sectors, A, B, C, D) are: A, B, C, D  (4 outcomes)

Now, the possible outcomes for flipping a fair coin are: Tales (T) and Heads (H) (2 outcomes)

For each possible outcome of the spinner, there can be two possible outcomes associated, because of the flipping of the fair coin. Hence, the total possible outcomes for spinning the spinner with four sectors A, B, C, D, and flipping a fair coin are 4 × 2, i.e. 8 outcomes.

These possible outcomes are AH, BH, CH, DH, AT, BT, CT, DT.

Learn more about outcomes here:

https://brainly.com/question/14906567

#SPJ1