I want a way to solve this question​

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

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No, there are x values which map to more than 1 y-value.

Given that Matthew examines the relation as shown in the below.

{(4, -11), (3,1), (0,1), (2,6), (3, -1)}

We need to check whether the relation is a function or not,

So, we know that,

A relation can map inputs to multiple outputs. It is a function when it maps each input to exactly one output. The set of all functions is a subset of the set of all relations.

If any x values are repeated, and the corresponding y values are different, then we have a relation and not a function.

Here we can see that the y values are repeated, so it is not a function.

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Answer:

Let's call the speed of Bug F v_F and the speed of Bug S v_S. Since both bugs started at 0, we can express their positions at any time t as:

Position of Bug F = 12 + v_F * t

Position of Bug S = 8 + v_S * t

To find out when F and S will be 100 units apart, we need to find the time t at which their positions differ by 100 units. In other words, we need to solve the following equation:

|12 + v_F * t - (8 + v_S * t)| = 100

We can simplify this equation by expanding the absolute value and rearranging the terms:

|4 + (v_F - v_S) * t| = 100

Now we can split this equation into two cases:

Case 1: 4 + (v_F - v_S) * t = 100

In this case, we have:

v_F - v_S > 0 (since Bug F is faster)

t = (100 - 4) / (v_F - v_S)

Case 2: 4 + (v_F - v_S) * t = -100

In this case, we have:

v_F - v_S < 0 (since Bug S is faster)

t = (-100 - 4) / (v_F - v_S)

Since we're only interested in positive values of t, we can discard the second case. Therefore, the time at which F and S will be 100 units apart is:

t = (100 - 4) / (v_F - v_S)

t = 96 / (v_F - v_S)

We don't know the values of v_F and v_S, but we can use the fact that Bug F is at 12 and Bug S is at 8, four seconds after they started. This gives us two equations:

12 = 4v_F + 0v_S

8 = 4v_S + 0v_F

Solving these equations for v_F and v_S, we get:

v_F = 3

v_S = 2

Substituting these values into the equation for t, we get:

t = 96 / (3 - 2)

t = 96

Therefore, F and S will be 100 units apart 96 seconds after they start.

Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.

Let's calculate the cross-price elasticity of demand using the given information:

a. Find the percentage change in quantity demanded of good Y:

Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100

Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%

b. Find the percentage change in the price of good X:

Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100

Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%

Now, we can calculate the cross-price elasticity of demand:

Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X

Cross-Price Elasticity of Demand = 25% / 25% = 1

b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:

If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.

Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.

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Answer:

Step-by-step explanation:

Answer:

5

30

15

Hope that helps!

Step-by-step explanation:

Answer:

132x-8

Step-by-step explanation:

I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.

It's a simplification I don't know if you needed that.

Area: 11.18 sq units

Perimeter: 26.18 units

To find the area and perimeter of the triangle with vertices A(-6, -1), B(-3, 3), and C(5, -3), follow these steps:

1. Find the lengths of the sides:

  - Side AB: Calculate the distance between points A and B using the distance formula: AB = √[(x₂ - x₁)² + (y₂ - y₁)²]

    Substitute the coordinates: AB = √[(-3 - (-6))² + (3 - (-1))²] = √[3² + 4²] = √(9 + 16) = √25 = 5 units

  - Side BC: Calculate the distance between points B and C using the distance formula: BC = √[(x₂ - x₁)² + (y₂ - y₁)²]

    Substitute the coordinates: BC = √[(5 - (-3))² + (-3 - 3)²] = √[8² + (-6)²] = √(64 + 36) = √100 = 10 units

  - Side CA: Calculate the distance between points C and A using the distance formula: CA = √[(x₂ - x₁)² + (y₂ - y₁)²]

    Substitute the coordinates: CA = √[(-6 - 5)² + (-1 - (-3))²] = √[(-11)² + 2²] = √(121 + 4) = √125 = 11.18 units

2. Calculate the perimeter:

  Perimeter = AB + BC + CA = 5 + 10 + 11.18 = 26.18 units

3. Find the area using the Shoelace Formula:

  Area = 0.5 * |(x₁y₂ + x₂y₃ + x₃y₁) - (x₂y₁ + x₃y₂ + x₁y₃)|

  Substitute the coordinates: Area = 0.5 * |(-6 * 3 + (-3) * (-3) + 5 * (-1)) - (-3 * (-1) + 5 * 3 + (-6) * (-3))|

  Simplify: Area = 0.5 * |(-18 + 9 - 5) - (3 + 15 + 18)|

           = 0.5 * |-14 - 36|

           = 0.5 * |-50|

           = 0.5 * 50

           = 25 sq units

Therefore, the area of the triangle is 25 square units and the perimeter is 26.18 units.

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Answer:

62.4km/h

Step-by-step explanation:

561.6 : 9 = 62.4

Answer:

1073333/5000000

Step-by-step explanation:

Convert to a simplified fraction by placing the numbers to the right of the decimal over 10000000. Reduce the fraction.

Answer:

c. 12/4 = l/8

please follow me

3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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The total surface area of solid is,

S = 220 m²

And,  The volume of the prism is, 200 m³

We have to given that;

A solid prism is shown in figure.

Since, The surface area of a prism is,

S = (2 × Base Area) + (Base perimeter × height)

Where, "S" is the surface area of the prism.

Hence, We get;

base area = 5 x 10 = 50 m²

height = 4 m

Base Perimeter = 2 (5 + 10) = 30

Hence, We get;

S = (2 x 50) + (30 x 4)

S = 100 + 120

S = 220 m²

Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;

V = base area × height.

Now, For given figure,

Volume of the prism = base area × height

base area = 5 x 10 = 50 m²

height = 4 m

Hence, Volume = 50 × 4 m³

= 200 m³

Thus, The volume of the prism is, 200 m³

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a. The mass of the apple is approximately 33.879 grams.

b. The volume of the apple increases by approximately 1.454 cubic inches during the five-week period.

a. To find the mass of the apple, we need to calculate its volume first. The circumference of the apple can be used to determine its radius.

The formula for the circumference of a circle is C = 2πr,

where C is the circumference and r is the radius.

Rearranging the formula, we have r = C / (2π).

Plugging in the given circumference of 6 inches.

we get r = 6 / (2π) ≈ 0.955 inches.

Now, we need to convert the radius from inches to centimeters since the density is given in grams per cubic centimeter.

Since 1 inch is approximately 2.54 centimeters, the radius in centimeters is \(0.955 \times 2.54\)  ≈ 2.427 cm.

Next, we can calculate the volume of the apple using the formula for the volume of a sphere: V = (4/3)πr³.

Plugging in the radius in centimeters, we get

V ≈ (4/3)π(2.427)³ ≈ 73.682 cm³.

Finally, we can find the mass of the apple by multiplying the volume by the density:

mass = volume \(\times\) density

= 73.682 cm³ \(\times\) 0.46 g/cm³

≈ 33.879 grams.

Therefore, the mass of the apple is approximately 33.879 grams.  

b. The volume of a sphere increases with the cube of its radius.

Since the radius increases by 1/8 inch per week for five weeks, the change in radius would be\((1/8) \times 5 = 5/8 inch.\)

Now, let's calculate the change in volume during the five-week period. The formula for the volume of a sphere is V = (4/3)πr³.

Initially, the radius was 0.955 inches.

After five weeks, the radius would be 0.955 + 5/8 inches.

To compare the change in volume, we can calculate the new volume and find the difference:

Change in Volume = New Volume - Initial Volume

Initial Volume = (4/3)π(0.955)³

New Volume = (4/3)π(0.955 + 5/8)³

By subtracting the initial volume from the new volume, we can determine how the volume changes during the five-week period.

Please note that the exact calculation will depend on the precise values used for π and the measurements provided.

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Answer:

In general terms, if a is a positive real number, then the square root of a is a number that, when multiplied by itself, gives a. The square root could be positive or negative because multiplying two negative numbers gives a positive number.

Answer:yo we talking the same test

Step-by-step explanation:

Insta= santiagorez

Answer:

Radius , r = 5 units

Step-by-step explanation:

The standard form of a circle's equation:

  \((x-a)^2 + (y -b)^2 = r^2 \ , \ where \ (a , b) \ is \ the \ centre\ and\ r \ is \ the \ radius.\)

Given equation :

  \(x^2 - 2x + y^ 2- 4y = 20\\\\\)

Find radius .

Convert the given equation into standard form.

\((x - 1)^2 = x^ 2 - 2x + 1 \\\\(y - 2) ^2 = y^ 2 - 4y + 4\\\\\)

Now add both equations :

  \((x - 1)^2 + (y - 2)^2 = r^2\)

\((x ^ 2 - 2x + 1) + (y^2 - 4y + 4 ) = r^2\\\\(x^2 -2x + y^2 - 4y ) + 1 + 4 = r^2\\\\20 + 1 + 4 = r^2\)          \([ \ given : \ x^2 - 2x + y^ 2 - 4y = 20 \ ]\)

\(25 = r^2 \\\\5 = r\)

Answer:

B

Step-by-step explanation:

hahshshsjsiwnwianahsjsjs

Answer:

b .........................

Answer:

2%

Step-by-step explanation:

2% is the correct answer                

The table with the numeric values of the function y = a/x² is given by the image presented at the end of the answer.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function for this problem is defined as follows:

y = a/x².

When x = 1, y = 100, hence the coefficient a is calculated as follows:

100 = a/1

a = 100.

Meaning that the function is defined as follows:

y = 100/x².

To find the numeric value at x = 2, we replace the lone instance of x by 2, as follows:

y = 100/2² = 100/4 = 25.

The numeric value at x = 5 is then found as follows:

y = 100/5² = 100/25 = 4.

The numeric value at x = 10 is then found as follows:

y = 100/10² = 100/100 = 1.

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Answer:

Step-by-step explanation:

Given the first three terms of the expansion of (1 +x)^n are 1 +3 +4, you want the values of x and n, and the next term.

The first few terms of the binomial expansion of (1 +x)^n are ...

  \((1+x)^n=1^n+n\cdot1^{n-1}x+\dfrac{n(n-1)}{2}1^{n-2}x^2+\dfrac{n(n-1)(n-2)}{2\cdot3}1^{n-2}x^3+\dots\)

Comparing the terms to those given, we have ...

  \(nx=3\\\\(nx)((n-1)x)/2=4\)

Expanding the second of these equations, and substituting the first, we get ...

  \((nx)(nx -x)=8\qquad\text{multiply by 2}\\\\3(3-x)=8\qquad\text{substitute $nx=3$}\\\\9-8=3x\qquad\text{add $3x-8$}\\\\\boxed{x=\dfrac{1}{3}}\qquad\text{divide by 3}\\\\\dfrac{1}{3}n=3\qquad\text{substitute for $x$ in $nx=3$}\\\\\boxed{n=9}\qquad\text{multiply by 3}\)

Then the fourth term is ...

  \(\dfrac{n(n-1)(n-2)}{6}x^3=\dfrac{9\cdot8\cdot7}{6}\cdot\left(\dfrac{1}{3}\right)^3=\boxed{\dfrac{28}{9}}\)

__

Additional comment

Then the expansion is ...

  (1 +1/3)^9 = 1 + 3 + 4 + 28/9 + 14/9 + 14/27 + ...

The n-th term is (11-n)/(3(n-1)) times the term before.

Answer: B

Step-by-step explanation: Hope this helps:)

Answer:

use symbolab it will help you with almost anything

a) The slope of a line perpendicular for the  equation  y=1.9x−4.8 is -1/1.9

b) The slope of a line perpendicular for the  equation  y=−75x+2 is -75.

For the first equation, we can start by realizing that the slope of a line perpendicular to a given line is the negative reciprocal of the slope of a given line. To find the slope of the given line, we can use the point-slope form of a line, y=mx+b, where m is the slope and b is the y-intercept. Now plugging in the given equation, we get 1.9x-4.8=mx+b, which simplifies to m=1.9. taking the negative reciprocal of m=1.9, we get -1/1.0 for the slope of the line perpendicular to the given equation.

For the second equation, we can use the same process as the first. We have y=-75x+2, which can be written as -75x+2 = mx+b. Simplifying, we get m=-75. Taking the negative reciprocal of ma=-75, we get 75/1 for the slope of the line perpendicular to the given equation.

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Answer:

Then the area of the triangle is 240 m²

Step-by-step explanation:

Area of a triangle:

The area of a triangle is given by the multiplication of its height and altitude, divided by 2.

In this question:

Base = 24m, altitude = 20m. So

\(A = \frac{24*20}{2} = 24*10 = 240\)

Then the area of the triangle is 240 m²

Answer:

Its 15 because 3 times 5 = 15.

Step-by-step explanation:

The line y = 7 − x has a slope(m) of - 1 and y-intercept b is 7.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, an equation of a line y = 7 - x.

We can rearrange this in the form of slope-intercept form which is

y = mx + b.

y = - x + 7.

y = (-1)x + 7.

The slope (m) of this line is - 1 and the y-intercept(b) is 7.

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Answer:

If I am correct the answer should be graph it !!!! first quadrant

corners

(0,0)

(0,3)

(1.5 , 3.5) intersection

(5,0)

evaluate 6x-4y at those corners

0

-12

-5

+9

makes sense, need big x and small y :)

Step-by-step explanation:

I apologize if I am incorrect I am only in 7th grade but I am pretty intelligent so please try it out!

Answer:

3

Step-by-step explanation:

3+1=5