What is the value of K if the system of equations KX Y 2 and 6x 2y 3 have infinitely many solutions?

The coordinates of the triangle after dilation are A'(48, 72), B'(48, 144) and C'(96, 72).

Dilation is a type of transformation where the figure is enlarged or made smaller such that it preserves the shape but not size.

Every dilated image are similar figures to the original figure.

Assume that the dilation is about the origin.

When a point (x, y) is dilated with k, then new coordinates are (kx, ky).

A(4, 6) after dilation become (4 × 12, 6 × 12) = A'(48, 72)

B(4, 12) after dilation become (4 × 12, 12 × 12) = B'(48, 144)

C(8, 6) after dilation become (8 × 12, 6 × 12) = C'(96, 72)

Hence the coordinates after undergone dilation are A'(48, 72), B'(48, 144) and C'(96, 72).

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Answer:

x² +y² = 73

Step-by-step explanation:

x - y = 5    ; xy = 24

      [tex]\sf \boxed{\bf x^2 + y^2 = (x -y)^2 + 2xy}[/tex]

                     = 5² + 2*24

                     = 25 + 48

                     = 73

Reason:    

x² + y² = (x - y)² + 2xy

          = x² + y² - 2xy + 2xy   {(x - y)² = x² +y² - 2xy}

          = x² + y²

The linear regression model is the model that you would have to use when analyzing the data in a scatter plot.

A scatterplot is a graphical representation of two sets of numerical data, where the values of one set are plotted on the x-axis and the values of the other set are plotted on the y-axis.

Each point on the plot represents a pair of (x, y) values. Scatterplots are often used to visualize the relationship between two variables and to identify any patterns or trends in the data.

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Based on the Pareto analysis, the set of brands which contributes most to the profit , i.e., about 80% is Adidas , Hyperlite ,mongoose , Schwinn and aquaronotman.

Pareto analysis is based on the idea that 80% of a project's benefit can be achieved by doing 20% of the work . In bigger business firms it is taken as a powerful tool for quality maintenance and decision-making .We can say that ,it is a method used for getting the required facts and information needed for setting priorities.

Thus , we can say that it is a technique used in business decision-making, but it also be used in welfare economics . It is based on the "80-20 rule." Pareto analysis, as a decision-making technique, statistically distinguishes a small number of input factors , either good or undesirable that have the largest impact on an output.

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Answer: Depending on you mean I have answers for them so I hope one of them is for what your looking for.

Answer:

Step-by-step explanation:

Use the speed formula:

[tex]s = \frac{d}{t}[/tex]

The runner travelled 1 yard in 6  minutes.

[tex]s = \frac{1\:yard}{6\:minutes}\\s = 0.166...7[/tex]

Hope this helps!

The value of the mathematical expression is 2x + 1/2

From the question, we have the following parameters that can be used in our computation:

A mathematical expression

The mathematical statement is give as

Subtract (5x + 1/3) - (3x - 1/6)

When this is represented as an expression

We have the following representation

(5x + 1/3) - (3x - 1/6)

Open the brackets

So, we have the following representation

5x + 1/3 - 3x + 1/6

Collect the like terms

So, we have the following representation

5x - 3x + 1/3 + 1/6

Evaluate the like terms

2x + 1/2

Hence, the expression is 2x + 1/2

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The meaning of the term 2² is number 2 is squared:

2*2 = 4.

Examples:

1 * 1 = 1.

One is a square number therefore.

2 * 2 = 4.

Four is the following square number, so. You can probably guess how to determine the following square number.

Let's multiply 3 by itself:.

3 * 3 = 9.

and so on.

Thus, for the stated question:

The number 2 is squared.

= 2*2 = 4.

Therefore, the result of the expression comes as 4.

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Answer:

[tex]t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} [/tex]

A. Another method for finding the slope of the linear function is by using the formula, slope = (y2-y1)/(x2-x1).

B. Sarah's method will not work for every linear function because not every linear function pass through the origin.

The slope of a linear function that can be determined using the formula:

Slope = (y2-y1)/(x2-x1)

Where (x1, y1) and (x2, y2) are two points on the line

A. Another method for finding the slope of the linear function is by using the formula above.

x1 = 4, y1 = 22 and x2 = 12 , y2 = 66

Slope = (66-22)/(12-4) = 44/8 = 11/2

B. Sarah's method will not work for every linear function because not every linear function pass through the origin.

Example:

x y

2 5

3 9

Sarah's method:

slope = 5/2 = 2.5 or slope = 9/3 = 3.

This will not work because the values of y/x are not the same.

Using the formula:

x1 = 2, y1 = 5 and x2 = 3 , y2 = 9

Slope = (9-5)/(3-2) = 4/1 = 4

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The required expression would be 25/4 for the given expression (2/5)⁻².

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression is given in the question, as follows:

(2/5)⁻²

We have to rewrite [tex](2/5)^{-2}[/tex] without an exponent.

As per the question, we have

(2/5)⁻²

This can be also rewritten as:

1/(2/5)²

1/[(2/5)×(2/5)]

1/(4/25)

Reciprocal the term in the denominator, and we get

25/4

Thus, the required expression would be 25/4.

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The correct option is B) definition of a right angle.

A triangle is a regular polygon, with three sides and the sum of any two sides is always greater than the third side. This is a unique property of a triangle. In other words, it can be said that any closed figure with three sides and the sum of all the three internal angles is equal to 180°.

Given here:

Angle B is a right angle and a right angle is always equal to 90

Hence, The correct option is B) definition of a right angle.

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Answer:

b! hope this helps

Step-by-step explanation:

The population of the down represent by the equation  P = 53800 [tex](1-\frac{2.5}{100})^3[/tex] and the population after 3 years is 49865.

What is rate of decrease in population?

The rate of decrease calculates a decline as a percentage of the initial sum. To determine how quickly a population is dwindling or how much money is being lost on an investment, you may want to know the rate of decrease . Knowing the initial and final amounts is necessary to compute the rate of decrease.

Here the initial population of the town is [tex]P_0[/tex] = 53800.

Population shrink rate R = 2.5%

Number of years = 3.

Now using decrease in population formula then,

P = [tex]P_0(1-\frac{R}{100})^n[/tex]

=> P = 53800 [tex](1-\frac{2.5}{100})^3[/tex]

=> P = 53800(0.975×0.975×0.975)

=> P = 49865.

Hence the population of the down represent by the equation  P = 53800 [tex](1-\frac{2.5}{100})^3[/tex] and the population after 3 years is 49865.

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Answer: 6

Step-by-step explanation: you subtract the one time fee($16) from the 100 then divide the rest by the cost of a one month membership($14)

The number of boys who should be at camp with 20 counselors will be 250 boys.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

At Laura's summer camp, there were 200 boys and 16 counselors. Then the rate is given as,

Rate = 200 / 16

Rate = 12.5 boys per counselor

At this rate, the number of boys should be at camp with 20 counselors will be given as,

⇒ 12.5 x 20

⇒ 250 boys

The number of boys is 250 boys.

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"Complete table of 5" refers to a multiplication table containing all products of the number 5 multiplied by integers from 1 up to a specified maximum value.

Here is an example of 5 complete tables:

5x1=5

5x2=10

5 x 3 = 15

5 x 4 = 20

5 x 5 = 25

5 x 6 = 30

5 x 7 = 35

5x8=40

5 x 9 = 45

5 x 10 = 50

In this example, the maximum multiplier value is 10, but a full table of 5 can continue with any number of rows. This table will help you remember the facts about multiplication by 5 and identify patterns for multiples of 5.

Note that if you're looking for a way to compute the product, you can use a loop or function that takes the maximum value of the multiplier as input and outputs the full table of 5.

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The algebra properties are as follows: associative property , distributive property, identity property, inverse property.

As given in the question,

Properties of the algebra are as follow:

1. Associative property :

Let a, b, c be the three expressions

a. For addition:

( a + b ) + c = a + ( b + c )

b. For multiplication :

a × ( b × c ) = ( a × b ) × c

2. Distributive property:

Let a, b, c be the three expressions

For multiplication over addition:

a ( b + c ) = ab + ac

3. Identity property:

a. For addition:

a + 0 = a

b. for multiplication :

a × 1 = a

4. For inverse

For addition:

a + ( -a ) = 0

For multiplication:

a × ( 1 /a) = 1

Therefore, the four properties of the algebra are associative property , distributive property, identity property, inverse property.

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The college graduate's new net worth is $12,057. The Option A is correct.

The net worth of an entity (i.e company or person) is given by the sum of the values of all assets of the person subtracted by the sum of the values of all debts (liability) of the person.

The assets of the student are given as follows:

Signing bonus: $10,000.

Furniture: $3,865.

Savings Account Balance: $571.

Car Value: $19,250.

Electronic: $2,160.

Total = $35,846

The liabilities of the student are given as follows:

Car Loan: $12,500.

Credit Card Balances: $2,468.

Student Loans: $33,821 - $25,000 = $8821.

Total = $23,789

The student's net worth is calculated as follows:

= $35,846 - $23,789

= $12,057.

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The graph is shown below.

===================================================

Explanation:

Part A)

x² is the same as x^2

The function f(x) = 10x^2-10x is the same as y = 10x^2-10x

Compare this to the template y = ax^2+bx+c to find the following

The value of 'a' is positive, which means the parabola opens upward. Furthermore, it tells us that the graph has a lowest point. There is no highest point since both parts of the parabola go upward forever.

-----------------------------

Part B)

We'll use the values of 'a' and b found earlier to get...

h = -b/(2a)

h = -(-10)/(2*10)

h = 10/20

h = 0.5

The min value therefore occurs when x = 0.5, which is the x coordinate of the vertex. The vertex being (h,k)

To find the value of k, we plug x = 0.5 into the original function.

y = 10x^2-10x

y = 10(0.5)^2-10*0.5

y = -2.5

This is the smallest the output y values can get. Therefore, it is the minimum value.

The vertex is located at (h,k) = (0.5, -2.5)

-----------------------------

Part C)

With any quadratic function, the domain is "set of all real numbers". We don't have to worry about things like...

And so on.

The range is [tex]\text{y} \ge -2.5[/tex] since we found y = -2.5 to be the smallest y value possible. See part B above. So either y = -2.5 or y > -2.5

Check out the graph below. I used GeoGebra to make it, but you could use Desmos or other similar graphing tools if you prefer.

The value of x in the quadrilateral is 23.

A quadrilateral is a polygon with 4 sides. The sum of interior angles in a quadrilateral is 360 degrees.

The sum of external angles of any polygon, irrespective of the number of sides is 360∘.

Therefore, the value of x of the quadrilateral can be found as follows:

6x + x + 16 + 3x - 1 + 5x = 360

combine like terms

6x + x + 3x + 5x + 16 - 1 = 360

15x = 360 - 15

15x = 345

divide both sides by 15

x = 345 / 15

x = 23

Therefore, the value of x is 23.

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Answer:

The answer would be g(x) = -4|x| - 3

Step-by-step explanation:

With transformations involving translating an absolute value function down, the translation would be outside the absolute value and is negative (since we're moving the entire graph down). As the transformation occurs after the graph is already reflected, the translation will not be affected by the reflection.

The length of CE is 22. The measurement of ∠EAD = 34°.

What is a diagonal?

The diagonal is the line that runs through the centre of the figure from one corner of the square or rectangle to the opposite corner. Any square with two diagonals that are the same length.

Given that AE = 2x+2 and BD=3x+14, ∠BEC=112°.

The diagonals of a rectangle equal and bisect each other.

Thus BD = AC.....(i)

The diagonal AC bisect at E.

AE = EC = 1/2 AC

Rewrite equation:

BD = 2AE

3x+14 = 2(2x+2)

3x+14 = 4x+4

4x-3x = 14-4

x = 10

Putting x=10 in AE = EC :

EC = 2(10)+2

EC = 22

Vertical angle theorem: The Vertical opposite angles are equal.

∠AED = ∠BEC =112° (vertical opposite angles)

Consider △ADE:

Since AE = ED, thus ∠EAD = ∠EDC.

The sum all interior angle of a traingle is 180°

∠EAD + ∠EDC + ∠AED = 180°

2∠EAD + ∠AED = 180°

2∠EAD + 112° = 180°

2∠EAD  = 180° - 112°

2∠EAD  = 68°

∠EAD  = 34°

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Approximately after 6 days there will be fewer than 40 bugs remaining at the farm.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given exponential function is f(x)=500(0.67)ˣ.

Part A: To complete table

Put x=0

f(0)=500(0.67)⁰

f(0)=500

Put x=1

f(1)=500(0.67)¹

f(1)=335

Put x=2

f(2)=500(0.67)²

f(2)=224.45

Put x=3

f(3)=500(0.67)³

f(3)=150.3815

Part B:

Percentage of the bugs are eaten

= 335/500 ×100

= 335/5

= 67%

Part C:

Percentage of the bugs are remain 33%

Part D: Number of days after there will be fewer than 40 bugs remaining at the farm.

40=500(0.67)ˣ

(0.67)ˣ =40/500

(0.67)ˣ =0.08

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form: ln (0.08)/ln(0.67)

x=6.306

x≈6

Therefore, approximately after 6 days there will be fewer than 40 bugs remaining at the farm.

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In Number line, -4  is the opposite of the opposite of point D.

What does a math number line mean?

Number lines in mathematics are horizontal straight lines on which numbers are arranged in equal intervals. A number line can be used to represent every number in a sequence. Both endpoints of this line continue indefinitely.

                         The terms "number line" and "number grid" both refer to horizontal straight lines with numbers arranged along them at equal intervals. Some will have a defined beginning and end.

 Value of D = 4

   Opposite of point D = -4

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Answer:

yes, it is linear

Step-by-step explanation:

the x is +3 to each one, and the y is -1 to each one, this keeps it linear

Answer: ok what do you need help with

Step-by-step explanation:

i need the material to help you

Answer:

Step-by-step explanation:

i got you step 1 step 2 step 3 step 4 answer is c

Answer:I often do is just see how many terms in there if is only have two that will be Binomial, if it was three therm I will just think that probably trinomial, only have one that will be the monomial, more than 3 term i will think it just polynomials.

The shortest distance between planet Q and planet R is 1.64 * 10⁷ km

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

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle. It is given as:

hypotenuse² = adjacent² + opposite²

From the diagram, QR is the shortest distance between planet Q and planet R. Hence using Pythagoras:

QR² = QP² + PR²

QR² = (3.6 * 10⁶)² + (1.6 * 10⁷)²

QR = 1.64 * 10⁷ km

The shortest distance is 1.64 * 10⁷ km

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