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The entrepreneur make a profit of 200 BD .

In the question ,

it is given that ,

Amount for which the bookshop owner sells educational books to school students = 500 BD .

Amount of money paid to install new shelves = 300 BD .

So, the profit can be calculated using the formula

profit = (Amount for which the bookshop owner sells educational books to school students) - (Amount of money paid to install new shelves) .

Substituting the values from above , we get

profit = 500BD - 300 BD

= 200BD

hence , profit is 200 BD .

Therefore , the entrepreneur make a profit of 200 BD .

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The value for h(-1) is 4

The value for  h'(-1) is 1

Given the tangent line to the graph of y=h(x) at the point (-1,4) passes through (3,6), to get h(-1) and h'(-1), we should calculate the following:

Gradient of the tangent line:

Gradient=change in y axis/change in x axis=Δy/Δx

Using the x and y coordinates (-1,4) and (3,6)

Gradient=(6-4)/(3--1)

             =2/4

            =1/2

Gradient=1/2 or 0.5

Equation of the tangent line:

This should be in the form of y=mx+c, where m is the gradient of the line

We use the gradient and one of the x and y coordinates get the equation of the tangent line

Gradient=change in y axis/change in x axis=Δy/Δx, and gradient was found as 1/2

Δy/Δx=1/2

(y-4)/(x--1)=1/2

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

2y-8=x+1

y=(1/2)x+4.5

Equation of the tangent line is y=(1/2)x+4.5 or y=0.5x+4.5

And y=h(x)

So, h(x)=0.5x+4.5

Calculate h(-1), here x=-1:

h(x)=0.5x+4.5

h(-1)=(0.5*-1)+4.5

      =4

h(-1)=4

Calculate h'(-1), x=-1:

Here we get the derivative of the equation of the tangent line h(x)=0.5x+4.5,

h'(x)=0.5x^0+0

h'(-1)=1+0

h'(-1)=1

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The time taken by the ship to reach that distance will be 6 years.

Time is defined as the total duration of motion of an object in order to achieve some specific distance.

Given is an extrasolar which is observed at a distance of 4.2 x 10⁹ kilometers away. A group of scientist has designed a spaceship that can travel at speed of 7 x 10⁸ Kilometers/year.

Now, in order to calculate the time, we can use the simple formula as -

Time = distance / speed

Substituting the values -

Time [t] = (4.2 x 10⁹) / (7 x 10⁸)

Time [t] = 0.6 x 10

Time [t] = 6 years

Therefore, the time taken by the ship to reach that distance will be 6 years.

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Answer:

(a) The profit function is P(x) = 89x - 90,000.

(b) The company's profit at x=23,000 is 1,957,000.

Step-by-step explanation:

Given,

The cost function of the company is C(x)=90,000 +42x and

The revenue function is R(x) = 47x

where x is the number of radios.

(a)

The company's profit function, P, is from producing and selling x radios is

The formula for profit:

Profit (P) = Revenue (R) - Cost (C)

P = R - C

P = 47x - 90,000 + 42x

P = (47x + 42x) - 90,000

P = 89x - 90,000

For (a), The company's profit function, P, from producing and selling x radios is P = 89x - 90,000

(b)

The radios produced and sold are 23,000

So, x = 23,000

putting x value in the profit function, P

P = 89x - 90,000

P = 89 x 23,000 - 90,000

P =  2,047,000- 90,000

P = 1,957,000

For (b), the company's profit at x = 23,000 is 1,957,000.

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The system is sadly flawed ._.

Answer:6 trays

Step-by-step explanation:

36 people two cupcakes each means 36x2=72

on tray holds 12 cupcakes 72/12=6 trays

x intercept is x = -12

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

x = 4y - 12

y = 0

x intercept is

x = -12

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Answer: 179.07 this is ur answer

Step-by-step explanation:

For dilation, a figure's size and shape only change during transformation, but during translation, the size of the figure's image and preimage are congruent.

Congruent in geometry refers to being the same size and shape. Congruence can be used with figures, angles, and line segments. If any two line segments are equal in length, they are said to be congruent. If two angles have the same measure, they are said to be congruent.

Techniques for transformation: In a xy-plane, transformation involves changing the size and shape of an item.

Translation and dilation are a couple of the transformation methods used.

For dilation, a figure's size and shape only change during transformation, but during translation, the size of the figure's image and preimage are consistent.

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The solution is TRUE

What is union and intersection of sets?
The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B

The union of two sets is a new set that contains all of the elements that are in at least one of the two sets

The intersection of two sets is a new set that contains all of the elements that are in both sets

Given data ,

Let the equation be x

x = A ∩ ( B' ∪ C' )

Now , from Distributive law of set

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

And , ( A ∩ B' ) = A - B

So , substituting the formulas in the equation , we get

x = A ∩ ( B' ∪ C' )

x = ( A ∩ B' ) ∪ ( A ∩ C' )

x = ( A - B ) ∪ ( A - C )

Hence , the solution is TRUE

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Answer:

300

Step-by-step explanation:

Measure of EG is 9.5 cm.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. A triangle's third side is always equal to the sum of any two of its sides' lengths. Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon also includes a triangle. As a polygon, a triangle.

Given Data

Lengths

EH = 24, GH = 24

The third side of a triangle is always equal to the sum of the lengths of any two of its sides.

24 = 9.5 + x + 24

9.5 = x

Measure of EG is 9.5 cm.

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From the graph we get that:

The vertex of the parabola 1 has coordinates (5,4), and its equation is:

The vertex of parabola 2 has coordinates (-3,-2), and its equation is:

Shelby works for 5 hours to prepare 15 kgs of dough.

Here, we are given that Shelby prepared 9 kilograms (kgs) of dough after working 3 hours.

from this information we can calculate the amount of dough she can prepare in 1 hour.

3 hours ⇒ 9 kgs

1 hour ⇒ 9/3 kgs

9/3 = 3

Thus, she will prepare 3 kgs of dough in 1 hour.

Now, we are given that Shelby prepares 15 kgs of dough in all.

we have, 3 kgs ⇒ 1 hour

Thus, 15 kgs ⇒ 15/3 hours

15/3 = 5

Thus, Shelby works for a total of 5 hours to prepare 15 kgs of dough.

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Answer: (3,1)

Step-by-step explanation:

100$ before passengers. 25 is the price per person. 225 for 5 people to fly.

One variable can be used to solve a linear equation by moving the variables to one side of the problem and the numerical component to the other. As an example, the equation x - 1 = 5 - 2x can be solved by moving the numerical components to the equation's right side while leaving the variables on the left. Consequently, we get x + 2x = 5 + 1. 3x = 6 as a result. Consequently, x = 2. A linear equation with two variables has the formula Ax + By + C = 0, where A and B are the coefficients, C is a constant term, and the two variables, x and y, each have a degree of one. 7x + 9y + 4 = 0, for instance, is a two-variable linear equation.

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There are 120 quarters if Norman has a total of 72 dimes option (D) 120 if there are 3 dimes for every 5 quarters.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Norman has a coin collection. There are 3 dimes for every 5 quarters in his collection.

3 dimes → 5 quarters

72 dimes →  x quarters

x = (5x72)/3

x = 120 quarters

Thus, there are 120 quarters if Norman has a total of 72 dimes option (D) 120 if there are 3 dimes for every 5 quarters.

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Answer:

120

Step-by-step explanation:

Answer:

Step-by-step explanation:

We know that:

Use the given to find the missing function:

Answer:

[tex]{ \rm{f(x) = 4 - {x}^{2} }}[/tex]

[tex]{ \rm{(f - g)(x) = - {x}^{2} + x + 2}}[/tex]

- From functions;

[tex]{ \boxed{ \tt{(f - g)(x) = f(x) - g(x)}}} \\ \\ { \rm{ - {x}^{2} + x + 2 = (4 - {x}^{2} ) - g(x) }} \\ \\ { \rm{g(x) = (4 - {x}^{2}) + {x}^{2} - x - 2 }} \\ \\ { \boxed{ \rm{g(x) = 2 - x}}}[/tex]

Part a

we have the function

R=-0.1x^3+11x62-100x

using a graphing tool

Part b

we have that

The value of x cannot be a negative number

The value of R can be a negative number

therefore

part c

the answer part c is the option A and C

Answer: 34.22

Find 41% of 58 first.

[tex]58*0.41=23.78[/tex]

The problem asks to decrease it, meaning you would subtract the percentage from 58.

[tex]58-23.78=34.22[/tex]

34.22

The dilation of the geometric figure with a scale factor of 1/4 about the origin is: J' (-0.5, -0.25), K' (-0.25, 1), L' (0.75, 0.25), M' (0.75, -0.75).

Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Note: Each interval on this graph represents 1 unit.

For the given coordinates, the dilation with a scale factor of 1/4 about the origin or center of dilation (0, 0) should be calculated as follows:

Point J (-2, -1) → Point J' (-2 × 1/4, -1 × 1/4) = Point J' (-0.5, -0.25).

Point K (-1, 4) → Point K' (-1 × 1/4, 4 × 1/4) = Point K' (-0.25, 1).

Point L (3, 1) → Point L' (3 × 1/4, 1 × 1/4) = Point L' (0.75, 0.25).

Point M 3, -3) → Point M' (3 × 1/4, -3 × 1/4) = Point M' (0.75, -0.75).

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Answer:

$38.35

Step-by-step explanation:

take $180 subtract $58.35 that will leave you with $125.65 then subtract $82.80 then that will leave you with $38.35

The value of [tex]2\frac{1}{2} -1\frac{5}{6}[/tex] as an fraction is 2/3 .

In the question ,

the expression is given as

[tex]2\frac{1}{2} -1\frac{5}{6}[/tex]

To convert a mixed fraction [tex]a\frac{b}{c}[/tex] into a improper fraction , we use the  formula

[tex]a\frac{b}{c}[/tex] = (a*c+b)/c

let us first convert the given mixed fraction into improper fraction ,

using the formula of conversion , we get

[tex]2\frac{1}{2}[/tex] = (2*2+1)/2 = 5/2

and

[tex]1\frac{5}{6}[/tex] = (1*6+5)/6 = 11/6

Substituting the values , the expression becomes

= 5/2-11/6

taking the LCM as 6 and solving further , we get

= 15/6 - 11/6

= (15-11)/6

= 4/6

= 2/3

Therefore , The value of [tex]2\frac{1}{2} -1\frac{5}{6}[/tex] as an fraction is 2/3 .

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5x + 4y = -40

4y = -40 -5x

4y/4 = -40/4 -5x/4

y = -10 -5x/4

hence the y-intercept is -10

Answer:

dog

Step-by-step explanation:

An example of a graph with 4 vertices, with at least one vertex having a degree of 1 is a square graph.

There are 11 simple graphs on 4 vertices.

A graph is a set of points, known as vertices, and lines between those points are referred to as edges. there are many exclusive styles of graphs, along with linked and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.

This sort of graph with an even wide variety of vertices of diploma 4 has an even length, so our graphs must have 1, three, or 5 vertices of degree four. as much as isomorphism, there is precisely one graph of each type. A related graph G is known as a Hamiltonian graph if there's a cycle that includes each vertex of G and the cycle is referred to as a Hamiltonian cycle. Hamiltonian stroll in graph G is a walk that passes via every vertex precisely as soon as.

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We proved that [tex]\angle2\cong\angle4[/tex].

Given: [tex]\angle2[/tex] and [tex]\angle4[/tex] are vertical.

We have to prove [tex]\angle2\cong\angle4[/tex]

The [tex]\cong[/tex] means congruence which means [tex]\angle2[/tex] and [tex]\angle4[/tex] both have same size and angle. We have to show that they both have same size or angle to prove them congruence.

As we know that the value of straight line is [tex]180^{o}[/tex].

From the given figure we can see that

[tex]\angle1+\angle2=180^{o}[/tex]

[tex]\angle3+\angle4=180^{o}[/tex]

[tex]\angle1+\angle4=180^{o}[/tex]

[tex]\angle2+\angle3=180^{o}[/tex]

To prove the [tex]\angle2\cong\angle4[/tex] we subtract [tex]\angle1+\angle2=180^{o}[/tex] and [tex]\angle1+\angle4=180^{o}[/tex]

[tex]\angle1+\angle2-(\angle1+\angle4)=180^{o}-180^{o}[/tex]

We first simplify bracket. When we multiply with the subtraction sign then the sign under the bracket will changed.

[tex]\angle1+\angle2-\angle1-\angle4=0[/tex]

There have [tex]\angle1[/tex] in addition and subtraction then there only remains

[tex]\angle2-\angle4=0[/tex]

We can write that notation as

[tex]\angle2=\angle4[/tex]

Since [tex]\angle2=\angle4[/tex], that means they both have same angle.

So we proved that [tex]\angle2\cong\angle4[/tex].

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endpoint: (14, 28) coordinates of the other endpoint c.

The x-value at the midpoint lies halfway between the values at the two positions. The y-value midway between the two positions is known as the midpoint.

I start by placing the endpoint coordinate at the top and the halfway coordinate at the bottom.

(2, 10)

(6, 9)

I then calculate the difference between endpoint 1 and the midpoint.

+8 and+19

Applying that to the second coordinate's midpoint

(6 ,9)

 8 +19

endpoint: (14, 28)

you can check using the midpoint formula ( x + x / 2, y + y / 2)

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Answer:

Step-by-step explanation:

5. A n B = ∅  (the empty set)

6. A u B = {x|x is an integer, x ≠ 0}

7. B n C = {x|x<0}

8. B u C = {x|x<0 or a positive odd integer}