What are the solutions of the quadratic equation 3x² 14x 5 0?.

Answer:

Area = 28

Area of cutout = 1/2 * 2 * 4 = 4

Area of entire rectangle without cutout = 32

(Also 4 * 4 + 2 * 4 + 1 * 4 = 28)

Regular dodecagons have internal angles that are the same size and have equal length sides and the interior angles of the dodecagon total 1800 degrees.

A regular dodecagon is a shape with equal-length sides and equal-sized internal angles.

It features rotational symmetry of order 12 and twelve reflected symmetry lines.

The Schläfli symbol for a regular dodecagon is 12, and it can be formed from a truncated hexagon (t6) or twice-truncated triangle (tt3).

In a regular dodecagon, the internal angle at each vertex is 150°.

The dodecagon's internal angles add up to 1800 degrees.

A 12-sided polygon is called a dodecagon.

The illustrations above show several unique varieties of dodecagons.

A regular polygon known as a regular dodecagon is a dodecagon with vertices evenly placed around a circle and all sides having the same length.

Therefore, the interior angles of the dodecagon total 1800 degrees.

Know more about a dodecagon here:

https://brainly.com/question/29269894

#SPJ4

Answer: 24.2

Step-by-step explanation: Use the Pythagorean Theorem:

10^2 + 22^2 = x^2

100 + 484 = x^2

x^2 = 584

x = 24.16609..

which is close to 24.2

Answer: 24.2

Step-by-step explanation:

Use the Pythagorean Theorem.

[tex]a^2 + b^2 = c^2[/tex]

We already know a and b.

We can plug it in into the theorem.

[tex]10^2 + 22^2 = c^2[/tex]

[tex]584 = c^2[/tex]

Then, take the square root of 584.

[tex]\sqrt{584}[/tex] ≈ 24.2 (24.16 rounded up is 24.2)

The lower limit of a modal can be calculated by determining the lowest frequency interval having a smallest value.

In mathematics, limits are the points at which a function approaches the output for the specified input values. Calculus and mathematical analysis depend heavily on limits, which are required to determine integrals, derivatives, and continuity. It is applied during the analysis process and always focuses on the function's behavior at a certain time.

Let the least term 'h' of a sequence be a term which is smaller than all but a finite number of the terms which are equal to 'h'. Then 'h' is called the lower limit of the sequence.

A lower limit of a series,

lower[tex]\lim_{n \to \infty} S_n = \lim_{n \to \infty} S_n = h[/tex]

Learn more about Lower limit:

https://brainly.com/question/1999705

#SPJ4

The answers to each part is mentioned above.

Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

Equation for tank {1} -

y = 175 - 25x

Equation for tank {2} -

y = 200 - 30x

For the solution we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5

and

y = 200 - 150

y = 50

For the same amount of water we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5 hours

In tank (1), there is : 175 - 25 x 5 = 50 gallons

In tank (2), there is : 200 - 30 x 5 = 50 gallons

Therefore, the answers to each part is mentioned above.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ1

The slope of the given equation is -3/2.

The equation of a line in the form 3x + 2y = 8 is not in the standard form of a linear equation, also known as slope-intercept form. In order to find the slope of the line, we need to express the equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To do this, we can start by isolating y on one side of the equation. We can subtract 8 from both sides, resulting in 3x + 2y -8 = 0.

Next, we can divide both sides by 2, which gives us (3/2)x + y - 4 = 0. This is the equation in the slope-intercept form.

The slope of the line is represented by the coefficient of x, which in this case is (-3/2). It tells us that for every 1 unit increase in x, the value of y will decrease by 3/2 units.

Read more about Slope-intercept form:

https://brainly.com/question/16180119

#SPJ4

Answer: 62.5%.

hope this helped

a = 14, b = 3.5

XZ = XY , then

2a + 3b = 11b ( subtract 3b from both sides )

2a = 8b ( divide both sides by 2 )

a = 4b

The perimeter is 91 , so

11b +2a + 3b + a = 91

14b + 3a = 91 ← substitute a = 4b

14b + 3(4b) = 91

14b + 12b = 91

26b = 91 ( divide both sides by 26 )

b = 3.5

and a = 4b = 4 × 3.5 = 14

To learn more about length refers to;

https://brainly.com/question/24431146

#SPJ1

After it has been dilated with a scale factor of 2  the side lengths of AX'Y'Z is: a = 14, b = 3.5

XZ = XY , then

2a + 3b = 11b ( subtract 3b from both sides )

2a = 8b ( divide both sides by 2 )

a = 4b

The perimeter is 91 , so

11b +2a + 3b + a = 91

14b + 3a = 91 ← substitute a = 4b

14b + 3(4b) = 91

14b + 12b = 91

26b = 91 ( divide both sides by 26 )

b = 3.5

and a = 4b = 4 × 3.5 = 14

To learn more about perimeter refers to;

https://brainly.com/question/6465134

#SPJ1

Answer:

cost of football = 7.49

cost of tennis = 2.25

Step-by-step explanation:

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Learn more about arithmetic progression here: https://brainly.com/question/20334860

#SPJ1

The sample space would be ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}.

Option (C) is correct.

What is the sample space?

The sample space is the set of all possible outcomes of a random experiment.

In this case, the experiment is ordering a sandwich from the shop, and the possible outcomes are the different combinations of sandwich type and bread type. Choice C represents all the possible outcomes of the experiment and it is the correct answer.

C) ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}

Hence, the sample space would be ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}.

Option (C) is correct.

To learn more about the sample space, visit:

https://brainly.com/question/10558496

#SPJ1

Multiply the number in the one's place. Multiply the number in the ten's place. And then add them up.

Multiply 2-Digit Numbers Without Regrouping:

Follow along with example 43 × 32:

Place one number above the other so that the ones' place digits and tens' place digits are lined up. Draw a line beneath the bottom number.

 4 3

×3 2

_______

Multiply the ones' place digits (2 × 3 = 6) and one's place of the second number by the ten's place of the first number (2 × 4 = 8). Place the 6 below the line in the ones' place column and 8 below the line in the tens' place column.

4 3

×3 2

_________

8 6

Multiply the digit in the tens' place column (3) by the digit in the ones' place of the first number (3). The result is 3 × 3 = 9 and Multiply the digit in the tens' place column (3) by the digit in the tens' place of the first number (4). The outcome is 3 × 4 = 12. Now add the numbers and place the answer below the line.

4 3

×3 2

__________

  8 6

12 9×

__________

13 76

To know more about one's place, here

https://brainly.com/question/6246273

#SPJ4

An example of a linear inequality:  5m > 7 + 3p

We know that the linear inequality in two variables represents the inequalities between two algebraic expressions with two variables .

It is an unequal relation between two algebraic expressions.

The symbols used between the expression: less than ‘<’,

greater than ‘>’,

less than or equal to ‘≤’

greater than equal to ‘≥’,

consider an example of a linear inequality:

3x < 2y + 5

5m > 7 + 3p

We can say that a linear inequality is like a linear equation (ax + by = c) but it has an inequality (like <, >, ≤, or ≥) instead of an =

Learn more about a linear inequality here:

https://brainly.com/question/11897796

#SPJ4

The simplified expression of the given expression is 6x + (-21).

What is simplified expression?

Simplified expression is that expression which does not contains any like terms. When in an expression, all the like terms are combined and all of the specified brackets are solved, then only unlike terms are left in the simplified expression which cannot be further reduced.

We are given  expression as 6 + 2(x-8) + 3x -11 + x

Now, on simplifying the expression, we get

⇒ 6 + 2x - 16 + 3x - 11 + x

⇒ 6x - 21

⇒ 6x + (-21)

Hence, the simplified expression of the given expression is 6x + (-21).

Learn more about simplified expression from the given link

https://brainly.com/question/13742517

#SPJ1

Since, there are multiple questions so the question I answered is attached below.

The range of a negative function are those which lies in the intervals where the function is below the x-axis.

The range function can be positive or negative because the range formula substracts the lowest number from the highest number. A negative function has all negative values. The negative function has values that are all negative. The domain of the function can be positive. Every output must be less than zero. A negative function has values that are negative for all arguments of its domain. The function values can be positive or negative. They can increase or decrease as the input increases.

To learn more about Range values please visit:

https://brainly.com/question/30043736

#SPJ4

Answer:

13.124 ft

Step-by-step explanation:

1 m = 3.281 ft

4 m = 4 × 3.281 ft = 13.124 ft

The equivalence class of a is [a] = {x ∈ A: (a, x) ∈ R}. This includes all elements of A that are related to 'a'.

An equivalence class is the name we give to the subset S that includes all elements that are equivalent to each other. If there is an equivalence relation between any two elements, they are called equivalent.

Equivalence class properties : The relation ~ is an equivalence relation if and only if:

When our relation ~ satisfies the above three properties, we can write the definition of an element equivalence class as follows [a] = { x ∈ X | and ~ x}. Consider an example, If X were the set of all polygons and the equivalence relation ~ was defined as "having the same number of sides", the set of all triangles, the set of all quadrilaterals, the set of all pentagons, etc., are represents the equivalence classes.

To learn more about Equivalence Relation, refer:

https://brainly.com/question/13814464

#SPJ4

Complete question:

What is equivalence class ?

An

I have been working 1004 days at the job as a student

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the days from 08/21/2019 to 08/21/2022, we get:

Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)

Days 1 = 3 years * (365 days/1 year)

Days 1 = 1095 days

Calculating the days from 05/21/2019 to 08/21/2019, we get:

Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)

Days 2 = 3 month * (30 days / 1 month)

Days 2 = 90 days

Calculating the days from 05/20/2019 to 05/21/2019, we get:

Days 3 = 05/21/2019 - 05/20/2019

Days 3 = 1 day

Calculating the total days from 08/21/2019 to 05/20/2022, we get:

Total days = Days 1 - days 2 - days 3

Total days = 1095 days - 90 days - 1 day

Total days = 1004 days

Learn more about algebraic operations at: brainly.com/question/3927786

#SPJ4

The complete factor 3x² 6x or 3x² - 6x are 3x and (x-2) and the factor form can be written as 3x( x - 2).

Polynomial factorization represents a polynomial with coefficients in a given field, or an integer as a product of irreducible factors with coefficients in the same domain. Full factoring is a three step process :

2. Factor a Trinomial, if possible.

Example: x² – 2x – 3 factored into

(x + 1)(x – 3).

3. Factor a difference between two

Squares as many times as possible.

Example: y²– 9 factored into

(y + 3)(y – 3).

We have, a polynomial (binomial) say, p(x) = 3x² - 6x , and we have to complete factorize it. Follows the steps,

=> 3x( x - 2 ) , (irreducible factors). Therefore, the 3x is a common factor that we can be factored out and keeping the x minus sign 2 .

To learn more about Polynomial Factorization , refer:

https://brainly.com/question/25829061

#SPJ4

The equation 6x + 7 = 2(3x + 5) + 9 has no solution.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Let's solve the equation for variable x.

A variable is a number represented with letter in an equation. Therefore,

6x + 7 = 2(3x + 5) + 9

6x + 7  = 6x + 10 + 9

6x + 7 = 6x + 19

6x - 6x = 19 - 7

0x = 12

Therefore, the equation cannot be solved.

learn more on equation here: https://brainly.com/question/29171341

#SPJ1

The horizontal asymptote of the graph is the horizontal line y = b and the graph approaches a straight line as the input approaches ∞ or −∞.

Horizontal Asymptote: As x moves towards infinity or -infinity, the curve approaches a constant value b, called a horizontal asymptote with equal numerator and denominator. The following are used to determine the horizontal asymptotes:

For example, function f(x) = 2x / (x - 3) and we have to determine the horizontal asymptotes. As we see the degree of polynomials both in numerator and denominator is equal. So, horizontal asymptotes is equal to number which is obtained by dividing the hightest degree coefficients i.e., 2/1 = 2. Thus, the function has only one horizontal asymptote which is y = 2. Here is the graphical verification.

To learn more about horizontal asymptotes, refer:

https://brainly.com/question/4138300

#SPJ4

The equation in the said case is 10x + 5 = 35

Tickets bought = 10

Parking fee paid = $5

Money spent on seeing the show = $35

Determining the equation in the given case -

10x + 5 = 35

Where x is the cost of each ticket, and 10x represents the total cost of the tickets.

The equation states that the total cost of the tickets which is 10x plus the cost of the parking fee which is $5 is equal to the total amount spent by Kate which will be 35$.

This equation can be further used to find the cost of each ticket by isolating x:

10x + 5 = 35

10x = 30

x = 3

Therefore, each ticket cost $3.

Complete Question:

kate buys 10 tickets to the show. She also pays a 5$ parking fee. she spent $35 to see the show. What equation is this

Read more about equations on:

https://brainly.com/question/26310043

#SPJ4

The highest power of this function is 5 , so the degree of this polynomial is 5 .

The degree of polynomial is  highest power of variable in a polynomial expression. The polynomial’s degree is the greatest power of a variable in a polynomial equation. The degree of polynomial indicates the highest exponential power in polynomial (the coefficients are ignored).

the polynomial function is ⇒  f(x) = 2x³ + 7x⁵ + 4x + 12 ;

we see that the second term  "7x⁵" has the greatest power  ,

So , we can conclude that the degree of the polynomial function is 5 .

The given question is incomplete , the complete question is

What is the degree of the polynomial function f(x) = 2x³ + 7x⁵ + 4x + 12 ?

Learn more about Degree Of Polynomial here

https://brainly.com/question/2036908

#SPJ4

Answer:

10.35

Step-by-step explanation:

Add 10.25+14.35+15.45+9.60= 49.60

60-49.65=10.35

A line is a one-dimensional shape that is straight. The equation of the line that describes the shark's length is [tex]y = \frac{13}{3}x + 20\\[/tex].

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by:

[tex]y = mx + c[/tex]

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is constant.

Given when the shark was born the length of the shark was 20 inches, therefore, the coordinates can be written as (0,20).

Similarly, the length of the shark is 46 inches, while the age of the shark is 6 months. Therefore, the coordinates can be written as (6,46).

Now, the slope of the line can be written as,

m = (46-20)/(6-0) = 13/3

Now, the equation of the line can be written as  [tex]y = \frac{13}{3}x + c[/tex], further, substitute the value of any point in the equation of the line, therefore,

20=13/3(0)+c

c=20

Hence, the equation of the line that describes the shark's length is :

[tex]y = \frac{13}{3}x + 20\\[/tex].

To learn more about Equation of Line, visit :

brainly.com/question/21511618

#SPJ4

The expressions that could be equivalent to x^2+bx-36 where b is negative is option 1: (x + 3)(x - 12) and option 5: (x - 9)(x + 4).

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is - x² + bx - 36

The first expression is - (x + 3)(x - 12)

Solve using the multiplication property -

= (x + 3)(x – 12)

= x(x - 12) + 3(x - 12)

= x² - 12x + 3x - 36

= x² - 9x - 36

The second expression is - (x - 2)(x + 18)

Solve using the multiplication property -

= (x - 2)(x + 18)

= x(x + 18) - 2(x + 18)

= x² + 18x - 2x - 36

= x² + 16x - 36

The third expression is - (x - 13)(x - 3)

Solve using the multiplication property -

= (x - 13)(x - 3)

= x(x - 3) - 13(x - 3)

= x² - 3x - 13x + 39

= x² - 16x + 39

The fourth expression is - (x + 4)(x + 9)

Solve using the multiplication property -

= (x + 4)(x + 9)

= x(x + 9) + 4(x + 9)

= x² + 9x + 4x + 36

= x² + 13x + 36

The fifth expression is - (x - 9)(x + 4)

Solve using the multiplication property -

= (x - 9)(x + 4)

= x(x + 4) - 9(x + 4)

= x² + 4x - 9x - 36

= x² - 5x - 36

Therefore, the choices for b being negative is x² - 5x - 36, and x² - 9x - 36.

To learn more about expression from the given link

https://brainly.com/question/24734894

#SPJ1

Select all expressions that could be equivalent to x^2+bx-36 where b is negative.

(x + 3)(x - 12)

(x - 2)(x + 18)

(x - 13)(x - 3)

(x + 4)(x + 9)

(x - 9)(x + 4)

The earthquakes with the greatest magnitude do not always cause the highest number of death because other factors like area ( ground, water , sand etc.), soil structure, buliding constutor material etc. also affect the earthquake intensity.

The biggest earthquakes are not necessarily the most devastating ones. But other factors are also involved here. In areas of water-saturated sand, shaking loosens the sand particles from each other, causing them to "float" on the water and turn into quicksand. Sand at rest is still and hard, but when shaken it forms liquid mud. Buildings and other structures built on such sand simply sink and collapse. Other types of soil structures and terrain can amplify and resonate seismic waves, potentially causing more damage. Of course, if an earthquake occurs at sea, it can create a devastating tsunami. Also, certain structures and buildings are less susceptible to vibration than others due to how they are constructed and the materials used. For example, a large magnitude 9.0 earthquake might cause minor damage due to its remote location. But if 6.0 occurs in an underdeveloped and densely populated area, it could kill thousands.

The more people there are, the more people die. For example, the 2001 earthquake in India occurred in a densely populated area.

To learn more about Earthquake, refer :

https://brainly.com/question/248561

#SPJ4

Answer:

1 1/2

Step-by-step explanation: