what is the slope of y=14.25x

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Lets solve for x.

[tex]7x-12=4(x-9)-9x[/tex]

Apply the distributive property in [tex]4(x-9)[/tex].

[tex]7x-12=4x-36-9x[/tex]

Subtract [tex]9x[/tex] from [tex]4x[/tex].

[tex]7x-12=-5x-36[/tex]

Subtract [tex]7x[/tex] from both sides of the equation.

[tex]-12=-5x-36-7x[/tex]

Subtract [tex]7x[/tex] from [tex]-5x[/tex].

[tex]-12=-12x-36[/tex]

Add 36 to both sides of the equation.

[tex]24=-12x[/tex]

[tex]-12x=24[/tex]

Divide both sides of the equation by -12.

[tex]x=-2[/tex]

1,754 represents the y-intercept that the distance the plane traveled per hour

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the coefficients are given as follows: m is the slope, representing the rate of change of the output of the function relative to the input. b is the y-intercept, representing the value assumed by the function the input assumes a value of zero.

We are given that the equation for his set of data is M = 1,754 – 550h, where M represents the distance a plane is from its destination and h represents the time in hours.

Therefore, M = 1,754 – 550h

Here we can see that 1,754 represents the y-intercept meaning that the distance the plane traveled per hour

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ1

Answer:

the answer is z= 39/8 .

Nasim needs  to  invest $20203.5 for the value of the account to reach $27000.

It is the interest that a person can earn from a particular amount of deposit money. And the deposit is increased gradually over the time.

given, interest rate = r = 5.8%

final amount = A = $27000

time period elapsed, t = 5 years

number of times interest applied per time period, n= 365 times

as the interest compound daily so per year interest applied = 365 days = 365 times [ as 1 year = 365 days]

we need to determine the initial invested money, P.

From the compound interest formula, A = P (1 +r/n) ∧nt

                                                  $27000 = P (1+ 0.058/365) ∧365×5

                  initial amount P = $20203.5

Nasim needs to invest $20203.5.

To learn more about compound interest visit:

https://brainly.com/question/17185294

#SPJ1

In theory, Option D. All of these stages occurs at prisoner classification.

Prisoner classification occurs during transfer, in preparation for release, and after problems occur. All of these stages are important for assessing an inmate's risk and providing appropriate security.

Prisoner classification involves assessing an inmate's risk level and providing an appropriate security level based on the results. This assessment is conducted during various stages, such as during transfer to another institution, in preparation for release, and after the inmate encounters problems. The classification process may involve evaluating an:

Learn more about prison: https://brainly.com/question/20926169

#SPJ4

Answer: 6

Step-by-step explanation:

The area of the square ABCD will increase by a factor of 4

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.

Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Transformations can be divided into four categories: translation, rotation, reflection, and dilation.

In dilation of area of a square by a factor of 2 the effect is increment by a factor of 4

Say a square has side x, area = x²

after dilation, side = 2x, area = 4x²

comparing the two areas

= 4x²/x²

= 4

Learn more about dilation at:

https://brainly.com/question/26855848

#SPJ1

The general form of the equation of the given circle with center A is (x − h)² + (y − k)² = a².

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The circle with center A

The general form of the equation of a circle is: x2 + y2 + 2gx + 2fy + c = 0.

The equation of the circle is given by  (x−h)² + (y−k)² = a²

Here, h and k are the x and y coordinates of the circle and a is the radius of the circle.

Thus, the standard equation of a circle is  (x−h)² + (y−k)² = a².

To know more about circle:

https://brainly.com/question/266951

#SPJ1

Answer:

1

Step-by-step explanation:

(m^0)^2 Any non-zero expression raised to the power of 0 equals 1 .

m^0 = 1 Bring down the exponent ^2

1^2

The exponent 2 represents how many times the base number is going to be multiplied by itself. So, 1 is going to be multiplied twice by itself

So,

1 x 1 = 1

Solution, 1

Answer:

a₅₀ = 346

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 3 and d = a₂ - a₁ = 10 - 3 = 7 , then

a₅₀ = 3 + (49 × 7) = 3 + 343 = 346

Answer:

The 50th term of the sequence is 346.

Step-by-step explanation:

To find the 50th term of an arithmetic sequence, we need to know the common difference, which is the difference between each term, and the first term.

In this sequence, the common difference is 10 - 3 = 7. The first term is 3. To find the 50th term, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference. Plugging in the values we have, we get:

a_50 = 3 + (50 - 1)7

= 3 + 49 * 7

= 3 + 343

= 346

Answer:

0.4

Step-by-step explanation:

Using the proportional method,

We take "x" as cups of red paint needed to make a shade of pink

Using cross multiplication

7x=3

x = [tex]\frac{3}{7}[/tex]

x = 0.4

Answer:

0.00024

Step-by-step explanation:

Answer: FB= .25m + .25n

Step-by-step explanation:

So I drew a diagram of what I think it looks like, and this is my best answer. Sorry if it is incorrect.

[tex]\sqrt[3]{125 x^2 y^7}\qquad \begin{cases} 125=5\cdot 5\cdot 5\\ \qquad ~~ 5^3\\ y^7=y^{6+1}\\ \qquad y^6 y^1\\ \qquad (y^2)^3 y \end{cases}\implies \sqrt[3]{5^3 x^2 (y^2)^3 y}\implies 5y^2\sqrt[3]{x^2 y}[/tex]

A simple fraction is a fraction composed of a numerator and denominator, such as 3/4. A complex fraction is a fraction that has another fraction in either the numerator or denominator, such as 2/3 + 1/4.

A simple fraction is a fraction made up of a numerator and denominator, such as 3/4. The numerator is the number on top of the fraction, and the denominator is the number on the bottom. The fraction represents a division of the numerator by the denominator. A complex fraction, on the other hand, is a fraction that has another fraction in either the numerator or denominator. For example, 2/3 + 1/4 is a complex fraction because it has 1/4 in the numerator. Complex fractions can be used to represent more complicated divisions, such as the division of one complex fraction by another. They can also be used to represent the sum of two or more fractions. Complex fractions can be simplified by reducing the fraction’s terms to their lowest common denominator, which can make them easier to work with.

Learn more about fraction here

https://brainly.com/question/10354322

#SPJ4

A simple fraction is a fraction composed of a numerator and denominator, such as 3/4. A complex fraction is a fraction that has another fraction in either the numerator or denominator, such as 2/3 + 1/4.

complex fraction

A complex fraction is a rational expression that has a fraction in its numerator, denominator or both. In other words, there is at least one small fraction within the overall fraction.

Fraction

A fraction  represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

Learn more about fraction here :-

https://brainly.com/question/10354322

#SPJ4

The probability of tossing a cube and getting a number greater than 1 or less than 2 is given by the equation P = 0

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of getting a number greater than 1 or less than 2 be represented as P = P ( greater than 1 or less than 2 )

Now , the equation will be

The standard cube is tossed

The total number of outcomes A = { 1 , 2 , 3 , 4 , 5 , 6 }

Now , the number of outcomes where it is greater than 1 be B

B = { 2 , 3 , 4 , 5 , 6 }

The number of outcomes where it is less than 2 be C

C = { 1 }

So , the number of possible outcomes where probability P is greater than 1 or less than 2 is 0

Therefore , the value of P is 0

Hence , the probability is 0

To learn more about probability click :

https://brainly.com/question/9783756

#SPJ1

The value of the variables a, b, c, and d will be 2, 7, 5, and -6, respectively.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

If the expression, 10x² +23x - 42 is factored as (ax + b) (cx-d) where a, b, c, and d are integers.

Factorize the expression, then we have

⇒ 10x² +23x - 42

⇒ 10x² + 35x - 12x - 42

⇒ 5x(2x + 7) - 6(2x + 7)

⇒ (2x + 7)(5x - 6)

Compare the factors with (ax + b) (cx-d).

The value of the variables a, b, c, and d will be 2, 7, 5, and -6, respectively.

More about the factorization link is given below.

https://brainly.com/question/6810544

#SPJ1

The days requried for which Jason's workout would be the same in either pool is 5 days.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Here.

Consider the number of days of Jason's workout be x, the total yard he swims be y,

We have that, he swims at the rec center pool, will complete a 200-yard warm-up, and then swim laps in a lane that is 20 yards long.

y = 200 + 20x

Jason swims at the indoor pool at his gym, he will complete a 100-yard warmup, plus the main set that consists of 40 yards per lap.

y = 100 + 40x

Equating both the equation,

200 + 20x = 100 + 40x

40x - 20x = 200 - 100

20x = 100

x = 5  days

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

If the price of good x increases, the demand curve for good Y to shift to the right.

Complement goods are defined as the goods that a consumer likes to consume with a given good. Example of goods like it , peanut butter and jelly.

Substitute goods are those goods that a consumer could consume instead of a given good. For example, peanut butter and almond butter. The Market Equilibrium is used to define the intersection between the demand and supply curve. In other words, the market equilibrium occurs when price and quantity are same.o

When the price of a substitute , x increases, the demand for the second good increases. That is to say, there is a positive relationship between these two variables. In other words the price of good x increased , the demand for x will increase because it is more attractive for consumers. Therefore, the demand curve of y all shifts to the right.

To learn more about market Equilibrium, refer:

https://brainly.com/question/13984729

#SPJ4

She needs 15 minutes to complete 2 miles, thus completing 4 miles at the same rate will take her 4 hours and 15 minutes.

The average number of points received by students in one math class at the conclusion of the term, for instance, is an example of a statistic since it represents the population of all math classes, if we view that class as a sample. Because it integrates arithmetic ideas to create an analysis of a data set that may be used to comprehend an association in the data, statistics has earned a reputation for being an extremely challenging course, especially when studied in college (whoo that was a mouthful).

given

The unit rate for the ratio of 150 minutes to every 20 miles is obtained by dividing 150 by 20.

150÷20=7.5

Thus, the runner is covering one mile in 7.5 minutes. This unit rate can be multiplied by the number of miles:

6 miles in 7.5 minutes equals 45 minutes.

At this speed, she can complete 6 miles in 45 minutes.

If she runs 6 miles in 45 minutes, she will run 2 miles at the same pace in 453=15 minutes.

She needs 15 minutes to complete 2 miles, thus completing 4 miles at the same rate will take her 4 hours and 15 minutes. She is moving at a speed of 8 miles per hour since 60 minutes equal 1 hour.

To know more about statistics visit :-

https://brainly.com/question/29093686

#SPJ1

Answer:

Step-by-step explanation:

5x + 4 + 3x + 6 = 90

8x + 10 = 90

8x = 90 - 10

8x = 80

x = 80 : 8

x = 10

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

5 x 10 + 4 + 3 x 10 + 6 = 90

90 = 90

the answer is good

If a class must have a number of students ≤28 and at the same time greater than 16 then:

16≤S≤28

So the number of students may be: 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28.

Answer:

D

Step-by-step explanation:

16m-(5+8m)

this expression change like

16m-5-8m

Triangle that is congruent to triangle CBE could be any of the following, for instance:BED, ABC, or FCE.

The triangles are congruent when the respective sides between two pairs of corresponding angles are also congruent. Two triangles having a congruent side in the middle and two congruent angles on either side.

In geometry, two shapes or objects are said to be congruent if they have the same dimensions, or if one is the mirror image of the other.

1. The angles formed by the same line FA and two parallel lines running between it, FCE and CAB, are congruent angles. For the same reason, FEC and EDB are congruent angles.

2. Based on the assertion, we will write the measure of each angle.

The line AD contains the triangles ABC, CBE, and EBD. If we add all of the triangles together to form the line, which has a measure of 180 degrees, the angle CBE is 72°.

3. Congruent triangles are those with all of their angles equal. Since all of the triangles are replicas of triangle ABC, they are all congruent because they all measure the same but are positioned differently. Therefore, a triangle that is congruent to triangle CBE could be any of the following, for instance:

BED, ABC, or FCE

To learn more about congruent triangle visit the link:

https://brainly.com/question/1675117

#SPJ1

Those are all categories used in grouping data in statistics.

These categories are typically used for creating a frequency distribution, which is a way to organize and summarize a set of numerical data. By grouping the data into classes, it becomes easier to see patterns and trends in the data, such as the shape of the distribution and the presence of outliers.

Additionally, these categories are often used to create histograms, which are graphical representations of a frequency distribution. Histograms are useful for visualizing the distribution of a dataset and identifying any patterns or outliers in the data.

Learn more Data Classification Categories here:

https://brainly.com/question/30115050

#SPJ4

The percentage that is the mark-up is 152%

From the question, we have the following parameters that can be used in our computation:

Initial value = $0.25

Final value = $0.63

The percentage mark up is then calculated as

Percentage mark up = (Final value - Initial value)/Initial value * 100%

Substitute the known values in the above equation, so, we have the following representation

Percentage mark up = (0.63 - 0.25)/0.25 * 100%

Evaluate

Percentage mark up = 152%

Hence, the percentage mark up is 152%

Read more about percentage change at

https://brainly.com/question/11360390

#SPJ1

Answer:

1. second option

2. Second option

3. Less than or equal too

4. w+2.3>18

I'm good at inequalities so all of these should be right

Answer: 124.3%

318.2 is 124.3% of 256.

Hey there!

Answer:

318.2 is 124.296875% of 256.

Hope this helps!

Answer:

x = 7

Step-by-step explanation:

42 = 6x

x = 7

6(7) = 42

Answer:

6x = 42 ( being alternate angel)

x = 42/6

x = 7

Using the properties of a triangle, The answer is Yes, The measure of an exterior angle of triangle is sum of the opposite interior angles of the triangle.

An angle is a measure of the amount of rotation between two lines or planes. It is typically measured in degrees or radians. An angle can be defined as the amount of rotation needed to bring one line or plane into coincidence with another. Angles are often represented graphically as a central point, called the vertex, and two rays that extend from the vertex in different directions. The angle is the amount of rotation needed to rotate one ray so that it coincides with the other ray.

A triangle is a three-sided polygon that has three angles and three sides. The sum of the three angles in a triangle is always 180 degrees. Triangles can be classified based on their side lengths and angles, such as right triangles, acute triangles, and obtuse triangles. A right triangle has one angle that measures exactly 90 degrees, while an acute triangle has all angles that measure less than 90 degrees, and an obtuse triangle has one angle that measures greater than 90 degrees. Triangles can also be classified by the length of their sides as equilateral, isosceles and scalene triangle. An equilateral triangle has all sides of equal length, an isosceles triangle has two sides of equal length, and a scalene triangle has no sides of equal length.

z = exterior angle

x, y = opposite interior angles to z.

z= x + y

To learn more about triangles visit:

https://brainly.com/question/2773823

#SPJ1