I need help quick plssss I’ll give brainliest

Understanding a set’s nature or properties is made easier by its closure property

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

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Answer:

for the question x is 2 and y is 4

Step by step:

Answer:

2:1

Step-by-step explanation:

We know

To get from F to G, we have to go from -2 to 2, for which the length is 4.

To get from F' to G', we have to go from -2 to 0, for which the length is 2.

What is the ratio of the sides from the big to the small rectangle?

The ratio is 4:2 = 2:1

Moving along a circle that is encircled by a square is point p. The bottom-left corner of the square is fixed at point q. Drag the point p around the circle in the applet below to investigate this issue.

As Point P moves from A to \($B \rightarrow$\)

(d) Distance, increases then decreases.

As point P moves from B to \($C \rightarrow$\)

(a) Distance Decreases

As point P moves from C to \($D \rightarrow$\)

(b) Distance tier eases then increases.

a As Point P moves from D to\($A \rightarrow$\)

(c) Distance increases.

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Answer:

C

Step-by-step explanation:

There are 90 million different sequences of nine digits possible for a telephone number in the given format.

To determine the number of different sequences of nine digits for a telephone number in the given format, we need to consider the number of choices for each digit position.

Since each of the two letters can be selected from three choices (associated with each number from 2 to 9), there are 3 choices for each of the first two positions.

For the remaining seven positions (the digits), there are 10 choices (0-9) for each position.

Therefore, the total number of different sequences of nine digits for a telephone number is calculated by multiplying the number of choices for each position:

Total number of sequences = 3 choices (for the first letter) * 3 choices (for the second letter) * 10 choices (for each of the remaining seven digits)

                        = 3 * 3 * 10^7

                        = 90,000,000

Hence, there are 90 million different sequences of nine digits possible for a telephone number in the given format.

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Therefore , solving the provided question we cans say that

quadratic equation - x^2-5x-4 = 0 and x = 1 , 3

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.

Here,

Given :

we have

quadratic equation -

x^2-5x-4 = 0

x(x-1) -3(x-3) =

(x-1)(x-3) = 0

x = 1 , 3

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Answer:

In the real world, a consumer may purchase more then one commodity. Let us assume that a consumer purchases two goods X and Y. How does a consumer spend his fixed money income in purchasing two goods so as to maximize his total utility? The law of equi­-marginal utility tells us the way how a consumer maximizes his total utilit

To find the equation of the line, we will use the formula below;

x₁=-6 y₁=6 x₂=4 y₂=6

substitute the values into the formula

y - 6 = 0

y = 6

the answer for X is A) 5m.

There are numerous ways to grade a class of ten students. There are seven possible grades that could be given (A, B, C, D, F, I, or NC), depending on the grading scheme employed.

This indicates that there are mathematically 7 to the power of 10 (710) distinct methods to give the kids grades. There are approximately 8.3 billion ways to grade the ten pupils, or 8,300,000,000 ways in total.

Because there are seven different grades for each student, this number is extremely high. The number of possible options increases exponentially because there are 10 pupils. As a result, there are countless alternatives for how to assess the 10 kids.

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Answer:

If one ream is 500 sheets, then that would mean that two reams combined are 1,000 sheets, and the fact that there are 5 reams is just a random number meant to throw you off.

Answer:

It is an obtuse triangle.

Step-by-step explanation:

It has one angle that is greater than 90 degress and the other two are acute angles so this classifies as an obtuse triangle.

Answer:

The signs of each monomial in the second polynomial are changed.

When subtracting two polynomials, the subtraction affects each monomial in the second polynomial by inverting the sign of each coefficient. That is, every coefficient in the second polynomial is multiplied by -1.

Polynomials are mathematical expressions that contain one or more terms. These terms are made up of coefficients and variables raised to powers, like x^2, y, or z^3.

When subtracting two polynomials, we need to keep in mind that each term within the polynomial is affected.

Example: Consider the following polynomial:

2x^2 + 3xy + 4y^2

When we subtract the polynomial 3x^2 - 2xy - 5y^2 from the above polynomial, we need to invert the sign of each coefficient in the second polynomial. That is, we have:

2x^2 + 3xy + 4y^2 - (3x^2 - 2xy - 5y^2)

Now, inverting the sign of each coefficient in the second polynomial, we get:

-3x^2 + 2xy + 5y^2

So the final result is:

2x^2 + 3xy + 4y^2 - (3x^2 - 2xy - 5y^2)

= 2x^2 + 3xy + 4y^2 - 3x^2 + 2xy + 5y^2

= -x^2 + 5xy + 9y^2

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Suppose the number of elements in the equation 1/x + 1/y + 1/z = 1 is N, and let a1, a2, …, aN be the integers in decreasing order, so that ai ≥ ai + 1, 1 ≤ i ≤ N - 1. Then we have N ≤ 3.Suppose that there is no solution when N = 1. That is, 1/x = 1/y + 1/z cannot be fulfilled by x, y, and z being integers. But if x is large enough, then 1/x < 1/y, which means 1/x cannot be expressed as the sum of two smaller fractions.

This means that x cannot be the largest element in the equation. Consequently, there must be an integer y > x such that 1/x + 1/y = 1/z holds for some integer z.The same logic shows that there must also be an integer z > y such that 1/y + 1/z = 1/x holds. Thus, 1/x + 1/y + 1/z = 1 is a valid equation. Therefore, the proof is complete.We know that x + y + z > 3, because otherwise 1/x + 1/y + 1/z < 1/3 + 1/3 + 1/3 = 1, which means that 1/x + 1/y + 1/z = 1 cannot be fulfilled. Also, we have 1/x ≤ 1/3, which means that x ≥ 3. Therefore, we have y + z > 3x, or z > 3x - y. This inequality, along with x < y < z, implies that 3x - y ≥ x + 2, or y ≤ 2x - 2. Since y is an integer, we have y ≤ 2x - 3. Hence, z > 3x - y ≥ x + 3. But since x ≥ 3, we have z > 6. Therefore, the integers x, y, and z that fulfill 1/x + 1/y + 1/z = 1 satisfy x < y < z and 3 ≤ x < y < z ≤ 6.

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The Latin term integer, which means "whole" or (literally) "untouched," is derived from the prefix in (for "not") and the verb tangere (to touch).

We need to prove that there exist integers x < y < z

such that ,1 = 1/x + 1/y + 1/z.

Here's the solution:

Let's take x = 2, y = 3, z = 6.

We have,

1/x + 1/y + 1/z = 1/2 + 1/3 + 1/6

= 3/6 + 2/6 + 1/6

= 6/6

= 1 . Hence, we have found three integers x, y, and z such that x < y < z and 1 = 1/x + 1/y + 1/z.

Therefore, we have proved that there exist integers x < y < z such that 1 = 1/x + 1/y + 1/z.

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The area of the pentagon with vertices (0, 0), (3, 1), (1, 2), (0, 1), and (-2, 1) is 6 square units.

To find the area of a pentagon given its vertices, we can divide it into triangles and then calculate the area of each triangle separately.

Let's label the given vertices as A(0, 0), B(3, 1), C(1, 2), D(0, 1), and E(-2, 1). We can divide the pentagon into three triangles: ABD, BCD, and CDE.

To calculate the area of a triangle, we can use the shoelace formula. Let's apply it to each triangle:

Triangle ABD: Coordinates: A(0, 0), B(3, 1), D(0, 1)

Area(ABD) = |(0 * 1 + 3 * 1 + 0 * 0) - (0 * 3 + 1 * 0 + 1 * 0)| / 2

= |(0 + 3 + 0) - (0 + 0 + 0)| / 2

= |3 - 0| / 2

= 3 / 2

= 1.5 square units

Triangle BCD: Coordinates: B(3, 1), C(1, 2), D(0, 1)

Area(BCD) = |(3 * 2 + 1 * 0 + 0 * 1) - (1 * 1 + 2 * 0 + 3 * 0)| / 2

= |(6 + 0 + 0) - (1 + 0 + 0)| / 2

= |6 - 1| / 2

= 5 / 2

= 2.5 square units

Triangle CDE: Coordinates: C(1, 2), D(0, 1), E(-2, 1)

Area(CDE) = |(1 * 1 + 2 * 1 + (-2) * 0) - (2 * 0 + 1 * (-2) + 1 * 1)| / 2

= |(1 + 2 + 0) - (0 - 2 + 1)| / 2

= |3 - (-1)| / 2

= 4 / 2

= 2 square units

Now, we can sum up the areas of the three triangles to find the total area of the pentagon:

Total area = Area(ABD) + Area(BCD) + Area(CDE)

= 1.5 + 2.5 + 2

= 6 square units

Therefore, the area of the pentagon with vertices (0, 0), (3, 1), (1, 2), (0, 1), and (-2, 1) is 6 square units.

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A rectangle that is not a square has two pairs of sides of different lengths.

When it is rotated counterclockwise about its center, the longer sides will eventually become the shorter sides, and vice versa.

The minimum positive number of degrees it must be rotated until it coincides with its original figure is 180 degrees.

This is because after a rotation of 180 degrees, the longer sides will become the shorter sides and vice versa, and the rectangle will be in the exact same position and orientation as it was originally.

Any rotation less than 180 degrees will result in a mirror image of the original rectangle.

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L((7,8)) = (-9,23).  To find the value of L((7,8)), we can use the linearity property of the linear operator L.

Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).

We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).

Using the linearity property, we can distribute the linear operator L over the linear combination:

L((7,8)) = L(7(1,2) + 1(1,-1))

= 7L((1,2)) + L((1,-1))

= 7(-2,3) + (5,2)

= (-14,21) + (5,2)

= (-9,23)

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The volume of this prism is 3150 cm³.

step1:

given 11cm, 19cm, 14cm, 11cm

To find: volume of given prism

the given prism is combination two prism

Triangular prism

cuboidal prism

volume of cuboidal prism =l*b*h

                                          =(15*14*11) cm^3

                                           =2310cm^3

step2:

volume of triangular prism=1/2*l*b*h

                                           =1/2*15*8*14    

                                            =840cm^3

step3:

volume of given prism=volume of cuboid + volume of triangular prism

                                     =(2310+840)cm^3

                                      =3150cm^3

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Answer:

on a graph will (-5, -7) be found Quadrant III.

Answer:

7

Step-by-step explanation:

If 2 gallons gets you 26 miles, then you get 13 miles per gallon. If you need to go 91 miles, you divide that by the 13 per gallon, and you get 7.

Answer: -5

Step-by-step explanation:

Let's start with what we know:

Range is the lowest point on the graph subtracted from the highest point on the graph. Therefore, in this equation, we do:

-9 - (-4) = -5

So the range is -5.

Answer:

9x - 54 = 18            x = 8

Step-by-step explanation:

54 less than 9 times x is 18

lets work backwards to solve this one.

We know that the entire eqation is equal to 18. We also know that 9 will be multiplied to x and that 54 will be taken from that.

 18   =   9x   -   54

+54               +  54

 72  =  9x

 72/9 = x

   8  =  x

Area = 3.14 * (12 miles)² = 452.16 miles²

Answer:

D

Step-by-step explanation:

Same X, but different Y value, it is five apart in D

Functions

The total cost of Zacaria's kayaks store is made of a fixed cost and a variable cost. The fixed cost must be paid even if no kayaks are sold, and the variable cost depends on the number of kayaks sold per year (called x in the rest of this answer).

a. We know each kayak is sold for $425, thus for x kayaks, the total income (or revenue) function is:

R(x) = 425x

b. As mentioned above, the total cost is the sum of the fixed and the variable cost. Each kayak cost $315, thus:

C(x) = 315x + 15,600

c. The break-even point occurs when the cost and the revenue are balanced (no loss-no profit). Equating both functions:

315x + 15,600 = 425x

Subtracting 315x:

15,600 = 425x - 315x

Simplifying:

15,600 = 110x

Solving for x:

x = 15,600 / 110

x = 141.8

Thus, 142 kayaks approximately must be sold to be in break-even condition.

d. Since the earnings are proportional to the number of kayaks sold:

R(x) = 425x

There is no limit for the value of x that maximizes this function, i.e., the greater the value of x, the greater the earnings. There is no maximum point in this function.

In case the earnings function is referring to the profit function, then:

E(x) = R(x) - C(x)

E(x)= 425x - (15,600 + 315x)

E(x) = 110x - 15,600

This function doesn't have a maximum point because it's a linear equation, so there is not a theoretical maximum value for x

The shark is fed during the feeding at night is 1/6 tons.

What is a proper fraction?

A proper fraction is one that doesn't contain any whole numbers and has a smaller numerator than a denominator. A fraction that represents a number greater than one and has a larger numerator than the denominator is said to be improper.

Given that during the morning feeding, 2/15 of a ton of fish is fed. During the afternoon feeding the weight of the fish fed will be 1/15 of a ton more than the fish fed during the morning.

The shark fed (2/15 + 1/15) ton during the afternoon.

Assume that the shark fed x tons at night.

Therefore, the total fed is 2/15 + (2/15 + 1/15) + x

The equation is:

2/15 + (2/15 + 1/15) + x = 1/2

Add like terms:

5/15 + x = 1/2

1/3 + x = 1/2

Subtract 1/3 from both sides:

x = 1/2 - 1/3

x = (3-2)/6

x = 1/6

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Answer:

Look at where 0 is. Then do you see those lines? Start from zero and count up on those lines by 2. I hope that makes sense for you. Also if you know how to would you please mark me brainliest?

Step-by-step explanation: