Use the elimination method to solve the system of linear equations. 3x - 2y = -2 4x - 3y = -4

Answer:

im deaf and i can't see

Step-by-step explanation:im - deaf - and - i - cant - see

Answer:

y = -5x + 21

Step-by-step explanation:

Step 1: Find the slope

Take the negative reciprocal of the original equation

y = -5x + b

Step 2: Find b using given coordinate

-4 = -5(5) + b

-4 = -25 + b

b = 21

Step 3: Write equation

y = -5x + 21

And we have your equation!

Answer:

Equation of a line is y = mx + c

m = slope

c = intercept on y axis

y=1/5×+4

Comparing with the above equation

Slope = 1/5

Since the lines are perpendicular to each other the slope of the line we are to find is the negative inverse of the original equation.

Slope = -5

Equation of the line using point

(5 , -4)

y + 4 = -5( x - 5)

y + 4 = -5x + 25

y = -5x + 21

Hope this helps

Answer: -0.333 repeating

Step-by-step explanation:

5/9 x -3/5 = -0.3 repeating decimal

Your answer for this would be -0.333 repeating decimal, which converts to ~-1/3 ! I hope this helps lol :)

The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).

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Answer:

N= -4

Step-by-step explanation:

The length of the hypotenuse of the triangle is √181 cm

Pythagoras theorem states that in the right -angled triangle , the square of the hypotenuse side is equal to the sum of the square of other two sides.

Hypotenuse it the longest side , as it is opposite to the angle 90°

Pythagoras theorem formula :

Let a be the base

b be the perpendicular and c is hypotenuse

So, according to the Pythagoras

c² = a² + b²

According to the question,

We have to find the length of hypotenuse

Given that base = 10

Perpendicular = 9

Let Hypotenuse = x

Using above theorem

=> x² = (10)² + (9)²

=> 100 + 81 = x²

=> c = √181

The length of hypotenuse is √181

I've answered the question in general as the question is incomplete

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The fraction π/4 comes from the the ratio of the area of the circle to the area of the square from a cross section.

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

Given that:

Volume of cone = (π/4) * volume of pyramid it fits inside

Ratio of area of cone to area of square = πr²/(2r)²  = πr²/4r² = π/4

The fraction π/4 comes from the the ratio of the area of the circle to the area of the square from a cross section.

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(B.) It is the ratio of the area of the circle to the area of the square from a cross section.

Answer: - 23

Step-by-step explanation:

Hope this helps!

The utility can be used to quantify and compare preferences in decision-making scenarios where performance is not measured by monetary value.

The utility can be used as a measure of preference or satisfaction in decision-making situations where performance is not directly measured by monetary value. Utility refers to the subjective value or desirability that an individual assigns to different outcomes or options.

In such cases, utility can be quantified using a utility function, which maps the outcomes or attributes of the decision problem to a numerical representation of the individual's preferences. This function allows for the comparison and evaluation of different options based on their utility values.

For example, consider a decision involving healthcare treatments. The performance of different treatments may not be easily measured in monetary terms, but individuals may have preferences based on factors such as effectiveness, side effects, or quality of life impact.

Utility can be used to capture these preferences and make a decision that maximizes the overall satisfaction or well-being of the individual.

To use utility in decision-making, it is necessary to understand and quantify individual preferences through techniques like surveys, interviews, or experimental methods. By assigning utility values to different outcomes or attributes, decision-makers can then compare options and select the one that maximizes utility.

However, it's important to note that utility is subjective and varies among individuals. Different people may have different utility functions and weigh attributes differently. Therefore, utility-based decision-making requires taking into account the preferences of the specific individual or group involved.

In summary, utility can be employed in decision-making scenarios where performance is not directly measured in monetary terms. It quantifies subjective preferences and allows for the comparison and selection of options based on the utility values assigned to different outcomes or attributes.

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Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

Surface area is:

Correct option is D

Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

Using Laws of Exponents, the solution to the given algebraic expression is: m⁹n¹⁵

Some of the Laws of Exponents are:

1) When multiplying the like bases, ensure you keep the base the same and then add the exponents.

2) When raising a base that has a power to another power, ensure you keep the base the same and then multiply the exponents.

3) When dividing like bases, ensure you keep the base the same and then subtract the denominator exponent from the given numerator exponent.

We are given the expression:

(m⁻³n⁻⁵)⁻³

Using the second law of exponents above, we have:

m⁻³*⁻³ x n⁻⁵*⁻³

= m⁹n¹⁵

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To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

24

Step-by-step explanation:

S is 24. 24 times 5 equals 120. To find the answer, you need to divide the bigger number (120) by the other number (5) and then you will get your answer.

Answer:

Given:

Area of the sector (A) = 104π/9 square inches

Central angle (θ) = 65 degrees

The formula for the area of a sector of a circle is:

A = (θ/360) * π * r^2

We can rearrange this formula to solve for the radius (r):

r^2 = (A * 360) / (θ * π)

Plugging in the given values:

r^2 = (104π/9 * 360) / (65 * π)

r^2 = (104 * 40) / 9

r^2 = 4160 / 9

r^2 ≈ 462.22

Taking the square root of both sides:

r ≈ √462.22

r ≈ 21.49

Therefore, the radius of the circle is approximately 21.49 inches.

Answer: 8 inches

Step-by-step explanation:

Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

Answer:

36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²

Step-by-step explanation:

This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.

Answer:

To multiply a whole number and a fraction, we can simply multiply the whole number with the numerator of the fraction and keep the denominator the same.

So, 3 x 3/5 = (3 x 3)/5 = 9/5

Therefore, 3 x 3/5 = 9/5.

Answer:

Step-by-step explanation:

9x/5

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

Given the following system of equations:

We will solve the system by elimination as follows:

Substitute x = 20 into the second equation to find (y):

So, the value of y = -36

The answer will be option A. -36

Expressions that involve multiplication and division are given. It is required to find the one which will result in the greatest value.

Recall that when a number is multiplied by a number less than 1, it reduces the number.

Recall also that when a number is divided by a number between 0 and 1, it increases the number.

Since in options A and B, the number 5 is multiplied by numbers less than 1 in both options, it follows that the number reduces. Hence, cannot result in the greatest value.

For options C and D, the number 5 is divided by numbers between 0 and 1. Hence, the number will increase.

Notice that when a number is divided by a number between 0 and 1, the smaller the number you are dividing with, the larger the result.

Since 0.3 is less than 0.4, it follows that 5÷0.3 will be larger.

Hence, the expression that will give the greatest value is 5÷0.3.

Option C is the correct answer.

A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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The mode will not change.

Given data,

58,60,53,54,60,35,58,60

Outlier is the value in a set of data that much higher or lower than other values in data.

from given data, outlier is 35.

Mode is the value in a set of data that occurs more frequently in set of data.

from given data, 60 occurs more frequently.

Hence, 60 is the mode of data.

If outlier is removed from the data set then it will not affect the mode of the data

Thus, the mode will not change.

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For p = (3, 5), the value of - 3p is (- 9, - 15).

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The values are,

⇒ p= (3, 5) and q = (-2, 10)

Now, We can find the value of - 3p as;

⇒ - 3 p

Substitute p = (3, 5) we get;

⇒ - 3 × (3, 5)

⇒ (3×- 3, - 3×5)

⇒ (- 9, - 15)

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Answer:

y= 11/19

Step-by-step explanation: