mr chowdhary purchased a house for rs 6.1 lakh and spent 30000 on its repairs. he then sold it rs 8 lakh. find his gain percent​

a. The solutions to the system of equations f(x) = g(x) are given as follows: x = 0 and x = 1.

b. The explanation is that they have the same numeric value at these values of x.

A system of equations is composed by multiple equations.

The solution to the system of equations is the point of intersection of all these equations, which happen when all these equations have the same numeric value.

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Answer:

For parallel:

gradient is 1/5

\(y = mx + c\)

consider (5, -2):

\( - 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3\)

\({ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}\)

For perpendicular:

gradient, m1:

\(m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5\)

gradient = -5

\(y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23\)

\({ \boxed{ \bf{equation :y = - 5x + 23 }}}\)

Answer:

Parallel: \(y=\displaystyle \frac{1}{5}x-3\)

Perpendicular: \(y=-5x+23\)

Step-by-step explanation:

Hi there!

What we must know:

Finding the Parallel Line

\(y=\displaystyle \frac{1}{5} x-3\)

Given this equation, we can identify that its slope (m) is \(\displaystyle \frac{1}{5}\). Because parallel lines always have the same slope, the slope of the line we're currently solving for would be \(\displaystyle \frac{1}{5}\) as well. Plug this into \(y=mx+b\):

\(y=\displaystyle \frac{1}{5}x+b\)

Now, to find the y-intercept, plug in the given point (5,-2) and solve for b:

\(-2=\displaystyle \frac{1}{5}(5)+b\\\\-2=1+b\\-2-1=b\\-3=b\)

Therefore, the y-intercept is -3. Plug this back into \(y=\displaystyle \frac{1}{5}x+b\):

\(y=\displaystyle \frac{1}{5}x+(-3)\\\\y=\displaystyle \frac{1}{5}x-3\)

Our final equation is \(y=\displaystyle \frac{1}{5}x-3\).

Finding the Perpendicular Line

\(y=\displaystyle \frac{1}{5} x-3\)

Again, the slope of this line is \(\displaystyle \frac{1}{5}\). The slopes of perpendicular lines are negative reciprocals, so the slope of the line we're solving for would be -5. Plug this into \(y=mx+b\):

\(y=-5x+b\)

To find the y-intercept, plug in the point (5,-2) and solve for b:

\(-2=-5(5)+b\\-2=-25+b\\-2+25=b\\23=b\)

Therefore, the y-intercept is 23. Plug this back into \(y=-5x+b\):

\(y=-5x+23\)

Our final equation is \(y=-5x+23\).

I hope this helps!

Answer:

three consecutive integers that add up to 675 are 224, 225, and 226.

Step-by-step explanation:

Answer

Option C is correct.

A = 1, B = 1, C = 0, D = -8, and E = 7

Explanation

The equation of a circle with center (h, k) and a radius of r, is given as

(x - h)² + (y - k)² = r²

This can then be expanded to form the general form of the equation,

Ax² + By² + Cx + Dy + E = 0

For this question, where the center of the circle lies on the y-axis, the coordinates of the center of that circle will be (0, p)

where p is the y-coordinate of the center of the circle.

(x - h)² + (y - k)² = r²

(h, k) = (0, p)

h = 0, k = p

r = 3 units

(x - 0)² + (y - p)² = 3²

x² + y² - 2py + p² = 9

x² + y² -2py + p² - 9 = 0

Comparing this with Ax² + By² + Cx + Dy + E = 0

A = 1

B = 1

C = 0

D = -2p

E = p² - 9

We can easily see that only Option C has C = 0 and matches the equation of the circle described in the question.

Hope this Helps!!!

Answer: To differentiate a function using the first principle, we first need to know the function and it's original value. Given that the function is f(x) = 5√x .

The first principle of differentiation states that the derivative of a function f(x) at a point x is approximately equal to the change in f(x) for an infinitesimal change in x. We can use this principle to find the derivative of a function f(x) at a point x by calculating the limit of the ratio (f(x+dx)-f(x))/dx as dx approaches zero.

To differentiate f(x) = 5√x with respect to x using the first principle, we take the following steps:

Find the change in f(x) as x changes by dx, which is f(x + dx) - f(x)

Divide that change by dx to find the slope of the function at that point

Take the limit of that slope as dx approaches zero

So:

f(x + dx) = 5√(x + dx)

f(x) = 5√x

change in f(x) = f(x + dx) - f(x) = 5√(x + dx) - 5√x

slope = change in f(x) / dx

= (5√(x + dx) - 5√x) / dx

The limit as dx approaches zero is the derivative of the function,

lim (dx->0) [(5√(x + dx) - 5√x) / dx]

= lim (dx->0) [(5(x+dx)^1/2 - 5x^1/2) / dx]

= 5 * lim (dx->0) [(x+dx)^1/2 - x^1/2] / dx

= 5 * (1/2)x^(-1/2)

So the derivative of the function f(x) = 5√x is (5/2)x^(-1/2)

This is the slope of the function at a point x, which is the rate of change of the function at that point x.

Step-by-step explanation:

Answer: The exponential function to model the value of the land over time t (in years) is given by:

V(t) = 6500 * e^(-0.016t)

So, to find the value of the land in 1999 (10 years after 1989), we can plug in t = 10 into the equation:

V(10) = 6500 * e^(-0.016 * 10) = 6500 * e^(-0.16) = 6500 * 0.8499 = 5524.935

Therefore, the approximate value of the land in 1999 was approximately $5524.935.

Answer: (I'm sorry if this is not the right answer)

The width = 8 meters

Step-by-step explanation:

The length: a (m)

The width: b (m)

We cannot have a negative length and a negative width: a>b>0

Eq. I: a=2b-4

Eq. II: ab=96

Substitute the value of a from Eq. I into Eq. II: (2b-4).b=96

Solve for b:

(2b-4).b=96

2\(b^{2}\)-4b-96=0

\(b^{2}\)-2b-48=0

\(b^{2}\)+6b-8b-48=0

b.(b+6)-8.(b+6)=0

(b+6).(b-8)=0

b=8; b=-6

As mentioned above, b>0. Therefore, b=8

Conclusion: if the area of the rectangle is 96 square meters then its width is 8 meters.

The width of the given rectangle is 8 units.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's say the length of the rectangle is L and the width is W

Given that,

The length of a rectangle is four meters less than twice its width.

So,

L = 2W - 4

And,

Area = 96 square meter

LW = 96

Now by substituting

2W² - 4W = 96

W² - 2W - 48 = 0

W² -8W + 6W - 48 = 0

W(W - 8) + 6(W - 8) = 0

(W + 6)(W - 8) = 0

W = 8, -6 since distance cannot be negative so it will be 6 meters.

Hence "The width of the given rectangle is 8 units".

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The fact that multiple number of models of abnormality exist is caused by cultural and social values, cognitive bias, biological factors and limited research. Therefore, the answer is B. Cognitive bias.

The fact that multiple number of models of abnormality exist is caused by a variety of factors. Cultural and social values play a key role in influencing how mental health is viewed and understood. Biological factors, such as genetic predispositions and changes in the brain, can also contribute to psychological distress. Limited research on the subject has led to many different models of abnormality being developed, each with its own unique set of criteria for diagnosing mental health disorders. However, cognitive bias, or the tendency to think of certain behaviors and thoughts as abnormal, is not a major cause of the existence of multiple models of abnormality.

the complete question is :

according to the text, the fact that multiple models of abnormality exist is caused by all of these except:

A. Cultural and social values

B. Cognitive bias

C. Biological factors

D. Limited research

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

\(-1 \frac{3}{4}\)

Step-by-step explanation:

Using this number line, we can plot our original number - \(\frac{3}{4}\) (see picture attached)

Adding a negative is the same thing as subtracting - so we are subtracting \(2\frac{1}{2}\) from  \(\frac{3}{4}\).

To subtract this, we can break up \(2\frac{1}{2}\)  into 3 parts: 1, 1, and \(\frac{1}{2}\). We can subtract each of these from the current number and see where we land up. (again see picture)

We land up at \(-1 \frac{3}{4}\).

Hope this helped!

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

Answer:

The coordinates of the image are (2,4).

Step-by-step explanation:

The x-coordinate of X is -2

The y-coordinate of S is 4.

So the point S is given by: (-2,4)

Reflection over the y-axis:

When we reflect a point over the y-axis, it's x-coordinate changes signals, so, in this case, from -2 to 2, and the coordinates of the image are (2,4).

Answer:

I think its C

Step-by-step explanation:

All thre functions share the same y intercept

We can analyze the characteristics of the given functions based on the information provided in the table.

We cannot determine which function has the greatest maximum based on the table alone, as we do not have the complete graph of any of the functions.

We can see from the table that h(x) has an x-intercept of 0, which is the smallest among the three functions. Therefore, we can say that h(x) has the smallest x-intercept.

We can see from the table that g(x) has a minimum value of -204, which is the smallest among the three functions. Therefore, we can say that g(x) has the smallest minimum value.

We cannot determine if all three functions share the same domain based on the table alone. We can only see that all three functions have been evaluated at the same set of input values.

We can see from the table that the y-intercept of f(x) is 2, the y-intercept of g(x) is 3, and the y-intercept of h(x) is 4. Therefore, we can say that all three functions have different y-intercepts.

Therefore, the statements that can be used to compare the characteristics of the functions are:

h(x) has the smallest x-intercept.

g(x) has the smallest minimum value.

All three functions have different y-intercepts.

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Figure DEFG is congruent to figure WXYZ because rigid motions can be used to map Figure DEFG onto Figure WXYZ.

Congruence is only lost in the case of a dilation, as the equivalent side lengths will have different measures due to the multiplication.

For this problem, we have that DE = XW, hence there was no dilation and thus the figures are congruent.

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Simply ask for help.

the last option because the answer is

−6<x<0  or  x>2

Answer:

Blank 1: 50

Blank 2: 95

Blank 3: is not

Blank 4: is not

Step-by-step explanation:

A right angle is 90 degrees, and a rectangle is a plane figure that has four straight sides and four right angles.

For an average intake of 2200 calories per day, the number of acres of land owned will be 2.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, The function that models the number of calories consumed daily by a person owning x acres of land in a developing country is,

C(x)=270 ln (x+1)+1900

If an average intake of 2200 calories per day,

C(x)= 2200

2200=270 ln (x+1)+1900

2200-1900=270 ln (x+1)

270 ln (x+1)=2200-1900

270 ln (x+1)=300

ln (x+1)=300/270

ln (x+1)=1.11

(x+1)=ln⁻¹(1.11)

x+1=e¹¹¹

x=e¹¹¹-1

x=3.034-1

x=2.034≈2

Thus, for an average intake of 2200 calories per day, the number of acres of land owned will be 2.

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Step 1:

Triangle PRS is similar QRS.

PR is similar to RQ

PS is similar to QS

Step 2:

PR = 14 - x

RQ = x

PS = 6

QS = 4

Step 3:

The true equation will be f(6) = 0. Then the correct option is C.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function f(x) is given by the set of ordered pairs.

{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}

Then the function can be written as

f(abscissa) = ordinate

Then the function will be

f(0) = 6

Then the correct option is C.

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Answer:

f of 0 = 6

Step-by-step explanation:

Edge

Answer:

87998.1

Step-by-step explanation:

first you need to know how much percent  out of 100 you are taking away

100-21=79

then you need to find 79% of 111,390

                            79

                 *    111390

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

                                0

                           7110

                        23700

                         79000

                      790000

     +            7900000

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

                   8799810

\100 because it is a percentage

87998.1

Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

Gathering all the information:

            \(\hookrightarrow \text{The population of 2009 is only 79 percent of the population in 1990}\)

Let's set some variables:

Let's set up the equation:

  \(y = 0.79x \\111,390=0.79x\\x = 111390/0.79\\x=141,000\)

Thus the population of Flint, Michigan in 1990 is 141000

Answer: 141000

Hope that helps!

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B. The output of one function is used as the input for another function.

Composing of function is a process in which output of one function becomes input of other function.

If we take two functions f(x) & g(x), then composition of this two functions be like : f(g(x)) ,where g is inner & f is outer function, i.e. g(x) is the input of f(x)

Also g(f(x)) ,where f is inner & g is outer function, i.e. f(x) is the input of g(x).

So from this description, we understand that ,the output of one function is used as the input for another function.

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Answer:

1/2

Step-by-step explanation:

The 2 : 5 scaled version of the deck Sam plans to build and the dimensions of the original deck indicates;

Part A; Base length of the new deck = 7.2 feet

Height of the new deck = 2.8 feet

Part B; The area of the original deck is 63 square feet

The area of the new deck is 10.08 square feet

Part C; The ratio of the areas is the square of the scale factor

A scale factor is a number or factor that is used to enlarge or reduce the dimensions a shape or size of a figure.

The base length of the triangular deck = 18 feet

The height of the triangular deck = 7 feet

The scale factor for the scaled version Sam intends to build = 2 : 5

Part A; The dimensions of the new deck are;

Base length of the new deck using the the 2 : 5 ratio is; (2/5) × 18 = 7.2 feet

The height of the new deck = (2/5) × 7 = 2.8 feet

Part B; The area of the original deck = (1/2) × 18 × 7 = 63 square feet

Area of the new dec = (1/2) × 7.2 × 2.8 = 10.08 square feet

Part C; The ratio of the areas is; 10.08/63

Ratio of the area = 10.08/63 = 4/25 = 4 : 25

The scale factor is; 2 : 5

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Answer:

180 ft

Step-by-step explanation:

We are told that the scale model is 40:1. And that it's being used to conduct wind - tunnel tests.

This means 40 units represents 1ft.

This means that 4.5ft will be;

(4.5 × 40)/1 = 180 ft

Thus, the actual length of airplane would be 180 ft.

Answer:

15.05

Step-by-step explanation:

8.6 is 100% of 8.6.

To increase it by 75%, you'll end up with 175% of 8.6

175% of 8.6 =

= 1.75 * 8.6

= 15.05