4x-3y + 2xy + 5y
if x = 2 and y = -3

The solution to the given system of equations (x,y) is

(-3.5,-6.5)

Linear equation is an equation in which the highest power of the variable(s) is 1.Linear equations can have one or more variables, and can be written in the form “ax + by = c,” where a, b, and c are constants and x and y are variables. They always produce a straight line when plotted on a graph, hence the name “linear.”

To solve this substitution method can be used

In the first equation -3x+y=4

y=4+3x

substituting the value of y in second equation -9x+5y=-1

-9x+5(4+3x)=-1

-9x+20+15x=-1

6x=-1-20

x=(-21)/6=-3.5

y=4+3(-3.5)=4-10.5=-6.5

(-3.5,-6.5) is the solution to the given system of equations.

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Write the solution set of the equation:

x = [tex]\frac{-7}{2}[/tex]

y = [tex]\frac{-13}{2}[/tex]

Now, According to the question:

Given the system of equations:

−3x + y = 4 ----1

−9x + 5y = −1-----2

Multiply both sides of the equation by a coefficient:

3( −3x + y) = 4 × 3

−9x + 5y = −1

Apply Multiplicative Distribution Law:

-9x + 3y = 12

-9x + 5y = -1

Subtract the two equations:

-9x + 3y -(-9x + 5y) = 12 -(-1)

Remove parentheses = -9x + 3y + 9x - 5y = 12 + 1

Cancel the unknown variables:

3y - 5y = 12 + 1

Combine like terms:

-2y = 12+1

-2y = 13

Divide both sides of the equation by the coefficient of variable :

y = 13 ÷ (-2)

y = -6.5

Express the number in fractions: y = -13/2

Substitute one unknown quantity into the elimination:

-9x + 3 × ([tex]\frac{-13}{2}[/tex]) = 12

Write as a single fraction:

-9x - [tex]\frac{1}{2}[/tex](3 × 13)= 12

Calculate the product or quotient:

-9x - [tex]\frac{39}{2}[/tex] = 12

Rearrange the unknown terms to the left side of the equation:

-9x = 12 + [tex]\frac{39}{2}[/tex]

Find common denominator and write the numerator above common denominator :

-9x = [tex]\frac{24+39}{2}[/tex]

= -9x = [tex]\frac{63}{2}[/tex]

x = [tex]\frac{63}{2}[/tex]÷( -9)

x = -[tex]\frac{63}{2}[/tex] × 9

x = [tex]\frac{-7}{2}[/tex]

Write the solution set of the equation:

x = [tex]\frac{-7}{2}[/tex]

y = [tex]\frac{-13}{2}[/tex]

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Answer: 75x^2-3 can be factored as (25x)^2 - 3 . The expression can be factored by taking the square root of the constant term and then using difference of squares.

In this case, the square root of -3 is not a real number, so it's not possible to factor it further.

So the final factored form of 75x^2-3 is (25x)^2 - 3.

Answer:

Step-by-step explanation:

75x^2-3 cannot be factored using integer numbers since it's a difference of squares. The expression 75x^2-3 is a binomial, not a trinomial. The difference of squares is a factoring pattern where you have a squared binomial subtracted from a constant.

75x^2-3 = 75x^2 -3x^2 = 72x^2 -3x^2 = (75-3)x^2 = 72x^2

So the factorization of 75x^2-3 is just 72x^2

The value of integral , I = ₀∫¹⁰ f(x)dx where f(x) is function is sixty-eight.

A piecewise function is defined as a function built from pieces of different functions over different intervals. For example, take piecewise function f(x) where f(x) = 2 when x ≤ 1, f(x) = x when x>1. We have a function, f(x) defined by

f(x) = 6 when x<6

f(x) = x when x ≥ 6

We have to determine the value of following integral, ₀∫¹⁰f(x)dx . As see, the function f(x) has two different in between the [0,10]. So, the required integral divided into two different parts, with different limits of it,

I = ₀∫¹⁰f(x)dx = ₀∫⁶ f(x)dx + ₆∫¹⁰ f(x)dx

=> I = ₀∫⁶ 6dx + ₆∫¹⁰ x dx

=> I = [ 6x]⁶₀+ [ x²/2]¹⁰₆

=> I = [ 36 - 0 ] + [ (10)²/2 - (6)²/2]

=> I = 36 + 64/2 = 36 + 32

=> I = 68

So, required integral value is 68.

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When Albert drew a rhombus in a coordinate plane, and three of its vertices are (5, 2), (7, 0),  (9, 2). the fourth point is (3, 0)

The length of  sides of a rhombus are equal, hence in an ordered pair the length of a side will be calculated using using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (5,, 2) and (9, 2) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(5 - 9)² + (2 - 2)²}

d =√{16 + 0}

d = √16

d = 4 units

subtracting 4 units in (7, 0)

(7 - 4, 0)

(3, 0)

the fourth side of the rhombus is (3, 0)

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The total amount after 10 years would be $12968.71.

Compound interest is the interest paid on both principal and interest, compounded at regular intervals. At regular intervals, the interest so far accumulated is clubbed with the existing principal amount and then the interest is calculated for the new principal. The new principal is equal to the sum of the Initial principal, and the interest accumulated so far.

Compound Interest = Interest on Principal + Compounded Interest at Regular Intervals

The compound interest is calculated at regular intervals like annually(yearly), semi-annually, quarterly, monthly, etc; It is like, re-investing the interest income from an investment makes the money grow faster over time! It is exactly what the compound interest does to the money. Banks or any financial organization calculate the amount based on compound interest only.

Here,

P =  $5,000

r = 10% = 0.1

n = 1 (since the interest is compounded annually)

t = 10 years

The total amount after 10 years would be

[tex]A = P (1+ \frac{r}{n} )^{nt} \\A = 5000 (1 + \frac{0.1}{1}) ^{1*10}\\A = 5000 (1.1)^{10}\\A = 12968.71[/tex]

Thus, the total amount after 10 years would be $12968.71.

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The quadratic equation y = x² - 4x - 5 have ordered points at (0, -5), (4, -5), (-2, 7) and (6, 7)

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The standard form of a quadratic equation is:

y = ax² + bx + c

where a, b and c are constants

The degree of a quadratic equation is 2.

Given that:

y = x² - 4x - 5

When x = 0; y = (0)² - 4(0) - 5 = -5

When x = 4; y = (4)² - 4(4) - 5 = -5

When x = -2; y = (-2)² - 4(-2) - 5 = 7

When x = 6; y = (6)² - 4(6) - 5 = 7

The quadratic equation y = x² - 4x - 5 have a vertex at (2, -9)

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The answer to if there will be any ice cream left, given the amount of ice cream that Yasmine purchased and the pints to each guest, is no.

First, convert the amount of ice cream that Yasmine bought, to a decimal so that it can be worked on with more ease.

19 1 / 2 pints of ice cream :

= 19 + 1 / 2

= 19 + 0. 5

= 19. 5 pints

If each guest got 3 / 4 pints, then there would be some ice cream left if there is a remainder :

= 19 . 5 ÷ 3 / 4

= 19. 5 x 4 / 3

= 26 guests

There is therefore no ice cream left.

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The statement that correctly describes the graph is Scott pays his nephew $10 per hour, and he initially had $900 for extra labor. The correct option is c.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the graph, the two points are (0, 900) and (800, 10). Then the slope of the line is given as,

m = (900 - 800) / (0 - 10)

m = - 100 / 10

m = - 10 dollars per hour

Then the equation is given as,

y = - 10x + 900

Therefore, the correct option is C. Scott pays his nephew $10 per hour, and he initially had $900 for extra labor.

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Answer:

8 (sorry if i got it wrong)

Answer: -4

Step-by-step explanation:

-2+3-5=-4

I HOPE THIS HELPS!!!!

Answer:

The height of the building is: 20.2 foot

Step-by-step explanation:

Using the Pythagorean theorem we can find another side of a right-angled triangle if two among three sides are given.

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

where a, and b are sides and c is the hypotenuse.

In our case base (b) is given and ladder length (c) is given, so the height of building (a) is :

[tex]a = \sqrt{c^2 - b^2}[/tex]

[tex]a = \sqrt{23^2 - 11^2}[/tex]

[tex]a = \sqrt{529-121} \\a = \sqrt{408}\\a = 20.199\\\\[/tex]

So the rounded answer of height is: 20.2 foot

The work done in lifting a bag of mulch was 504 Joules.

To find the amount of work done in this scenario, you can use the formula for work, which is work = force x distance x cos(theta), where force is measured in newtons (N), distance is measured in meters (m), and theta is the angle between the force and the displacement.

In this case, first, you lifted the bag of mulch 1.2 meters against gravity and the force applied is 45N and the displacement is 1.2m, the formula becomes:

work = force x distance x cos(theta) = 45 N x 1.2 m = 54 J

After, you carry the bag of mulch 10 meters, and the force applied is still 45N and the displacement is 10m, so the formula becomes:

work = force x distance x cos(theta) = 45 N x 10 m = 450 J

Therefore, the total amount of work done in lifting the bag of mulch 1.2 meters and carrying it at a distance of 10 meters is 54 J + 450 J = 504 J.

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Answer:

0.91

Step-by-step explanation:

The overlapping grid space represents the product of 1.3 and 0.7

1.3 * 0.7

= 0.91

Answer:

D. 0.91

Step-by-step explanation:

The number of months, m, given the number of years, y is 12 years.

The Calendar in use today has 12 months every year. The length of the months is either 28, 29, 30, or 31 days. The 12 months of the Calender each have a length of 28 to 31 days. In a typical year, which has 365 days, each month has either 28, 30, or 31 days.

Months to Years Conversion. Divide the time by the conversion ratio to change the measurement from a month to a year. The months are equal to the years when split by 12.

12 months = 1 years

24 months = 2 years

36 months = 3 years

The number of months greater than the number of years

m= 12y

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Answer:

[tex]-16[/tex]

Step-by-step explanation:

[tex]f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16[/tex]

Therefore , the solution of the given problem of inequality comes out to be m = 3 and b=4.

An inequality in mathematics is a link between two equations or values when there is no equal sign. Therefore, imbalance comes before inequality. An inequality creates a relationship between two numerical values that are not equal. Inequality and equality are different. have utilized the most typical sign for when variables are not comparable, not equal (). No matter how little or large the values, different inequalities are used to contrast them. A number of fundamental inequalities can be resolved by changing the two sides until the variables are all that is left. Numerous things can lead to unevenness, such as: The addition or division of low numbers from both sides. You switch the left and side.

Here,

Given  :  0-3x < 4 y = 12

=> Linear : Solid or Dashed

=>  m = 3

and

b =4

thus,

Therefore , the solution of the given problem of inequality comes out to be

m = 3 and b=4.

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Answer:

Step-by-step explanation:

0 886 pennies no np

Yes, m∠ABC and m∠XYZ are congruent

No, lines FG and DE are not congruent

Yes, OR and OS are congruent

Yes, 2∠ and ∠4 are congruent.

Congruent angles are angles that have the same measure, in degrees and are often represented by the symbol "≅". While congruent line segments are two or more line segments that have the same length.

m∠XYZ = 180° - 140° {supplementary angles}

m∠XYZ = 40°

so;

m∠ABC and m∠XYZ are congruent

line FG = and line DE =

so;

FG and DE are not congruent

OR = 2in and OS = 2in

so;

OR and OS are congruent

∠2 and ∠4 are vertical angles and are equal so;

2∠ and ∠4 are congruent

Therefore, (m∠ABC and m∠XYZ), (2∠ and ∠4), and (OR and OS), are two pairs of angles and line segments respectively which are congruent, while the lines segments FG and DE are not congruent.

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dont take my word for it but,

The volume of a cylinder can be calculated using the formula:

V = x * r^2 * h

Where:

V is the volume of the cylinder

x is the value of pi (3.14 in this case)

r is the radius of the cylinder (half the diameter, so 2 feet in this case)

h is the height of the cylinder

Plugging in the values from the problem, we get:

V = 3.14 * 2^2 * 6

= 3.14 * 4 * 6

= 75.36 cubic feet

So the volume of the rainwater collection tank is 75.36 cubic feet. The answer is therefore 75.36 cubic feet (Option B).

Answer:

75. 36 ft²

Step-by-step explanation:

The volume of the cylinder can be calculated as:

base * height

the formula of base is:

πr²

find the radius by finding half the diameter: 4 ÷ 2 = 2 ft

π* 2² = 12.56 ft²

Then we calculate for the volume

12.56 * 6 = 75. 36 ft²

The theories of motivation include theories X and Y. Managers use these theories, which are highly dissimilar from one another, to inspire their staff. While theory Y places an emphasis on rewards and recognition, theory X places more significance on supervision.

Let’s understand the application of Theory X and Theory Y:

While Theory X emphasizes the necessity of increased monitoring, outside rewards, and penalties, Theory Y emphasizes the significance of job pleasure as a motivator and encourages employees to approach jobs without direct supervision.

An organization that applies theory X will also have an authoritarian management style. There is hardly much management delegation of power. Companies that adhere to Theory Y, on the other hand, use a more decentralized approach, which means that employees share in authority. They are motivated as a result. Under theory Y, a few fundamental presumptions exist. One of them is that workers take ownership of their activities and work independently to further the objectives of the company. The employees are more engaged and attempt to resolve issues without the assistance of managers. This management approach is more prevalent than hypothesis X. Even a minor employee can take part in the decision-making process under this sort of management. Theory X relies on the notion of penalizing individuals in order to maintain employment, whereas theory Y emphasizes promotions, prizes, and recognition as key components. This maintains staff motivation to put in a lot of effort toward the organization's goals.

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Answer:

L C M

-9/8 will be your answer

correct if I'm wrong

The graph on the right depicts the linear function y=2x.

Linear function graph is a straight line that depicts linear function y = f(x) = mx + k. It tells the dependent variable y changes by a constant amount as the independent variable x also changes by a constant amount. Whilst variable k is the y-intercept.

The slope of the graph, m, is determined by:

m = (y₂-y₁) / (x₂-x₁)

We are given two graphs. The left graph depicts the line y=x. We want to know what the right graph depicts.

Firstly, we pick two random points on the left graph to find the slope of the graph. Let's say we pick (1,2) and (5,10).

m = (y₂-y₁) / (x₂-x₁)

   = (10-2) / (5-1)

   = 8 / 4

   = 2

Then we find the y-intercept (k), the point where the graph intersects the y-axis. Its value is 0.

Now we put the value of m and k into the linear function:

y = f(x) = mx + k

           = 2x + 0

           = 2x

Thus, the graph on the right shows the line y=2x

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The measure of each base angle of the isosceles triangle is given as follows:

80º.

An isosceles triangle is an angle that has two equal side lengths, meaning that the base angles also have the same measure.

For the top angle of the isosceles triangle ABC, we have that the semicircle, which has an arc length of 180º, is divided into 9 regions, hence it's measure is calculated as follows:

Top angle = 180º/9 = 20º.

For the base angles, each of them have the same measure, which we are going to call x.

The sum of the measures of the internal angles is of 180º, hence the value of x can be found as follows:

20 + 2x = 180

2x = 160

x = 160/2

x = 80º.

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There is only one way to paint such a cube, as each face must be a different color. So, the answer is one.

When it comes to creating art, there is no denying the importance of color. It is one of the most powerful tools an artist has at their disposal, as it can be used to convey a wide range of emotions, ideas, and messages. Even a simple object such as a cube can be transformed into a work of art with the right colors. This essay will explore the potential of painting a cube with a variety of colors, and why it's important to use a variety of colors in artwork.

When it comes to painting a cube, one must choose colors that will create a harmonious yet interesting look. The colors should be chosen carefully because they will be the focus of the piece. A cube painted with only one color would be too dull and boring, while a cube painted with an array of colors will make it more visually appealing. To create a successful painting of a cube, one should use colors that contrast and complement each other. For example, a cube can be painted so that one face is blue, two faces are red, and three faces are green.

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Answer:

y = 2.5x + 22

Step-by-step explanation:

the two points are (4,32) and (8,42)

The slope would be

[tex]\frac{42 - 32}{8-4}[/tex] = [tex]\frac{10}{4}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5

This is the slope.  She saves $2.50 per week.

the y-intercept is how much money she started with

Use one point.  I will us (4,32) and the slope (2.5)

y = 32

m = 2.5

x = 4

y = mx + b

32 = 2.5(4) + b

32 = 10 + b   Subtract 10 from both sides

22 = b

This is the y-intercept.  This is how much money she had in the beginning.

y =mx + b

y = 2.5x + 22

Answer:

No- se p-ero quiero pun-tos

Step-by-step explanation:

por -favor :D

The tables that show a proportional relationship is are :

If every pair of data values is related in the same way, by multiplying by a factor, then the relationship is proportional. A proportionate relationship can be identified by looking at data, an equation, or a graph.

In Table 1, we can see a proportional relationship because the values of x are increasing by 1 while the values of y are increasing by 3.

Table 3 also shows a proportional relationship because the values of p are increasing by 2 while the values of q are also increasing by 2 at the same time.

For this same reason, Table 4 shows a proportional relationship with r increasing by 5 while s is increasing by 1.

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Answer: You are already correct :)

Answer:

Option B:   [tex]x+4y[/tex]

Step-by-step explanation:

Given [tex]7x+5y-6x-y[/tex]

Lets simplify.

Subtract [tex]6x[/tex] from [tex]7x[/tex].

[tex]x+5y-y[/tex]

Subtract [tex]y[/tex] from [tex]5y[/tex].

[tex]x+4y[/tex]

Answer:  11w - 99

Step-by-step explanation:

(w-9) x 11 = (w)(11) - 9(11)

               = 11w - 99

Answer: -10v

Step-by-step explanation:

**in the attached file** :)