The graph shows a reciprocal parent function.
Which statement best describes the function?
(image attached)

The equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1) is y= 5/6 x-1/6.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given coordinate points are (5, 4) and (-1, -1).

Put (5, 4) and (-1, -1) in slope m = (y₂-y₁)/(x₂-x₁), we get

m= (-1-4)/(-1-5)

m= -5/(-6)

m =5/6

Substitute m=5/6 and (x, y)=(5, 4) in y=mx+c, we get

4=5/6 (5)+c

c=4-25/6

c=-1/6

Substitute m=5/6 and c=-1/6 in y=mx+c, we get

y= 5/6 x-1/6

Therefore, the equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1) is y= 5/6 x-1/6.

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The range of function y = -5 is a set containing only one number, -5.

A function assigns exactly one output value, y, for each input value x. In this case, the function is a constant function, it assigns the same output value, -5, for any input value.

In mathematics, the range of a function is the set of all possible output values (or y-values) of the function. It represents the set of all possible outcomes of the function. So the set of all possible output values is {-5} which is the range of the function.

In other words, the function takes any value from the domain (all real numbers) and maps it to the single value -5, which is the range.

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A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, and division (No division operation by a variable).

Polynomials are sums of k⋅xⁿ terms, where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. A primer on polynomials. This video defines words such as degree, standard form, monomial, binomial, and trinomial.

A polynomial may be categorized into four categories based on its degree. There are four types of polynomials: zero polynomial, linear polynomial, quadratic polynomial, and cubic polynomial.

A polynomial function is one that uses only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on. For example, 2x+5 is a polynomial with an exponent of one.

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For k = 2 the following linear equation has no solution. This can be solved by using systems of equation.

Simultaneous equations or system of equations, multiple equations in algebra must be solved concurrently (i.e., the solution must satisfy all the equations in the system). There must be an equal number of equations and unknowns for a system to have a singular solution. There is no certainty of a solution even then.

When there is more than one unknown and there is sufficient data to set up equations in those unknowns, systems of equations are utilized to solve problems. In general, we require sufficient knowledge to construct an equations in n unknowns when they are unknowns.

We know that the system of equations,

a₁x + b₁y = c₁

a₂x + b₂y = c₂

has no solution, if: a₁/a₂ = b₁/b₂ = c₁/c₂

here, a₁ = 3, b₁ = 1, c₁ =1 and a₂ = 2k - 1, b₂ = k - 1, c₂ = 2k + 1

So, the given system of equations will have no solution, if:

3/(2k - 1) = 1/(k - 1) = 1/(2k + 1)

3/(2k - 1) = 1/(k - 1) and 1/(k - 1) = 1/(2k + 1)

now,

3/(2k - 1) = 1/(k - 1)

or, 3k - 3 = 2k - 1

or, k = 2

Clearly, for k = 2  we have: 1/(k - 1) = 1/(2k + 1)

Hence, the given system of equations will have no solution, if k = 2.

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The complete question is as follows:

For what value of k the following system of linear equations has no solution

3x + y = 1

(2k - 1)x + (k - 1)y = 2k + 1

The number which divides the two or more numbers exactly is called a common divisor or a factor.

A common divisor, also known as a greatest common divisor (GCD), is the largest positive integer that divides two or more integers without leaving a remainder. For example, the GCD of 12 and 18 is 6, because 6 is the largest number that divides both 12 and 18 without leaving a remainder. The GCD can be found using the Euclidean algorithm or the extended Euclidean algorithm.

A factor is a number that divides an integer without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because each of these numbers divides 12 without leaving a remainder. Factors are used in various mathematical concepts such as prime factorization, greatest common divisor and least common multiple.

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The actual flag is 2.5 times wider than Malik's rectangular  model, meaning that it is 250% wider than the model he created.

Step 1: Calculate the width of Malik's model: 1010 inches

Step 2: Calculate the width of the actual flag: 2525 inches

Step 3: Divide the width of the actual flag by the width of Malik's model: 2525 / 1010 = 2.5

Malik created a model of a rectangular flag that was 1010 inches long. However, the actual flag was 2525 inches long. To figure out how many times wider the actual flag was than Malik's model, we needed to calculate the ratio of the widths. To do this, we divided the width of the actual flag (2525 inches) by the width of Malik's model (1010 inches). This gave us a ratio of 2.5, which means that the actual flag was 2.5 times wider than Malik's model. This can also be expressed as 250%, since 2.5 is the same as 250%. This means that the actual flag is 250% wider than the model created by Malik.

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The rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe is [tex]2\frac{2}{3}[/tex].

In the given question we have find the rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe.

The graph of the given question is given below:

The rate of change of the amount of chocolate chips/The amount of oats used in this recipe = (6 - 3)/([tex]2\frac{1}{4}-1\frac{1}{8}[/tex])

We firstly simply the mixed fraction

= 3/([tex]\frac{9}{4}-\frac{9}{8}[/tex])

= 3/([tex]\frac{19-8}{8}[/tex])

= 3/[tex]\frac{9}{8}[/tex]

Now simplifying

= (3×8)/9

= [tex]2\frac{2}{3}[/tex]

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The complete question is:

The table shows the linear relationship between the amount of chocolate chips in ounces and the amount of oats in cups used in dessert recipe_ What is the rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe?

Naoko could have made a down payment of $500 instead of $950.

Payment is usually made in exchange for goods or services, and it is an essential part of any transaction. Payment helps to create trust between parties, and it is a key factor in keeping businesses and economies running smoothly.

This would have resulted in a smaller monthly payment of $253.37, a savings of $49.09 each month. In the long run, this would amount to a total savings of $1,964.36 over the course of the 4-year lease.

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Answer:

3;+∞

Step-by-step explanation:

Step-by-step explanation:

The slope of a line perpendicular to y=-10/9x-3 has a slope equal to the negative reciprocal of -10/9. The slope of line W can be calculated as follows:

m = -(-9/10) = 9/10

The equation of the line in point-slope form is:

y - 3 = (9/10)(x - 2)

Expanding the equation gives:

y - 3 = (9/10)x - (9/5)

Solving for y:

y = (9/10)x - (9/5) + 3

y = (9/10)x + (6/5)

The equation of line W is:

y = (9/10)x + (6/5)

Option C: 0.4 for p and 32 for n Using a normal curve, one may approximate the sampling distribution using the sample size (n) and sample proportion (n is 6).

If np > 10 or n(1 - p) > 10 is true, the normal curve can be applied in this situation.

For example, if n = 28 and p = 0.3;

np = 28 × 0.3 = 8.4 < 10

It is thus useless.

B) In case n = 28 and p = 0.9;

np = 28 × 0.9 = 25.2 > 10 Ok

Not acceptable: n(1 - p) = 28(1 - 0.9) = 2.8

Thus, it cannot be applied.

C) With n = 32 and p = 0.4

np = 32 × 0.4 = 12.8 > 10 Ok

n(1 - p) = 32(1 - 0.4) = 19.2 > 10 Ok

Thus, it can be utilized.

D) When n is 32 and p is 0.2

np = 32 × 0.2 = 6.4 < 10 Not Ok

So it is useless.

Option C: 0.4 for p and 32 for n Using a normal curve, one may approximate the sampling distribution using the sample size (n) and sample proportion (n is 6).

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Answer:

x-axis

Step-by-step explanation:

because the domain refers to the set of possible input values

Answer:

To find out how many millions you can get for 5 dollars, we need to divide the total cost of 5 dollars by the cost per million.

The cost per million is 30 cents, which can also be written as $0.30.

So we can divide 5 by 0.30 to find out how many millions we can get for 5 dollars:

5 / 0.30 = 16.666 (approximately)

So, we can get approximately 16.666 millions for 5 dollars.

The lower class limits for the given frequency distribution are 20, 25, 30, 35, 40, 45, and 50. The upper class limits are 24, 29, 34, 39, 44, 49, and 54.

The class width is 5 for all classes. The class midpoints are 22, 27, 32, 37, 42, 47, and 52. The class boundaries are 19.5, 24.5, 29.5, 34.5, 39.5, 44.5, 49.5, and 54.5. There are a total of 83 individuals included in the summary.

To calculate the class midpoints and class boundaries, we use the following formulas. The class midpoint (x) is calculated by adding the upper and lower class limits and dividing by two. The class boundaries are calculated by subtracting 0.5 from the lower class limit and adding 0.5 to the upper class limit. For example, for the first class, the lower class limit is 20 and the upper class limit is 24. The class midpoint is (20 + 24)/2 = 22. The class boundaries are 19.5 and 24.5.

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The percentage of girls in the group of 250 middle school students is 40%.
The percentage of students who prefer playing video games is 36%.

Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign (%). A percentage can represent a proportion or part of a whole. For example, if a person scored 80% on a test, it means they got 80 out of a possible 100 questions correct.

The percentage of the students who are girls is 250/250 x 100 = 100%.

The percentage of the students who prefer playing video games is (43+62)/250 x 100 = 50%.

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The expression 19([tex]\sqrt[5]{8}[/tex])^4 in rational exponent form is (152)^(4/5) and the expression (-4)^(2/7) in radical form is     [tex]\sqrt[7]{(-4)^{2} }[/tex].

What is rational exponent form?

In the formula a^(p/q), where a is the base and p/q is the rational exponent and q≠0, rational exponents are exponents of numbers that are expressed as rational numbers.

The first expression is -

19([tex]\sqrt[5]{8}[/tex])^4

Solve it to get rational exponent form -

Apply the rule n√x^m=x^(m/n) to rewrite the expression as a rational exponent.

= 19([tex]\sqrt[5]{8}[/tex])^4

= 19 × ([tex]\sqrt[5]{8}[/tex])^4

= 19 × (8)^(4/5)

= (152)^(4/5)

The second expression is -

(-4)^(2/7)

Solve it to get the radical form -

Apply the rule x^(m/n)=n√x^m to rewrite the expression as a radical.

= (-4)^(2/7)

= [tex]\sqrt[7]{(-4)^{2} }[/tex]

Therefore, the values are obtained as (152)^(4/5) and [tex]\sqrt[7]{(-4)^{2} }[/tex].

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Half the time, an odd number will come up on the roulette wheel.

Calculating the likelihood of an event occurring is done in mathematics using probability.

Calculating the likelihood of an event occurring is done in mathematics using probability.

It is somewhere between 0 and 1, or 0 and 100%, where 0 is unlikely and 1 or 100 is a guarantee.

By dividing an event's likelihood by the total probability, the probability is determined.

Three of the six digits in the provided question are odd, while three are even.

3/6 = 1/2 is the likelihood that the spinner will land on an odd number.

The complete question is,

How likely is it that a spinner will produce an odd number?

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Answer:

I know this but I can't remember

8 red and 7 green

switch the numbers

7 green and 8 red

7 green : 8 red

take the label off

Answer, 7 :8

Answer:

1.75

Step-by-step explanation:

Answer:

6,006.07

Step-by-step explanation:

6000+6=6006

6006+0.07= 6,006.07

Answer:

9974

Step-by-step explanation:

If 9973 is a prime number, then the only factors of 9973 is itself and one, therefore the factors are, "9973" and "1", and if we want to find the sum of that, we add it together to get 9974.

The formula to find the tangent line to a curve at a given point is y = f'(x) (x - x₀) + f(x₀).

The derivative of the function, f'(x) is calculated at the given point, x₀. Then, the equation of the tangent line is found by substituting the x₀ and f'(x) values into the formula.

To find the tangent line to a curve at a given point, the formula for the slope of the tangent line must be used. The slope of a tangent line is equal to the derivative of the function at that point. The resulting equation is a line with a slope equal to the derivative of the function at the given point, and a y-intercept equal to the value of the function at the given point. For example, if you want to find the tangent line to the function f(x) = 4x² + 3 at the point (2, 19), the derivative of the function at that point is f'(x) = 8x = 8(2) = 16. Then, the equation of the tangent line is y = 16(x - 2) + 19.

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Answer: 4 different combinations

Step-by-step explanation:

20% is the same as saying 2/10

Neither of these equations are already solved for x or y. As a result, the first step is to solve for x or y first.

What comes first in the process of solving a two-step equation?

The two stages that make up the most general instance for a two-step equation are as follows: First, get rid of addition and subtraction by adding or removing from both sides.

                     The variable should then be isolated by multiplying and dividing on both sides. By replacing the variable's value with the response, you may verify the solution.

What comes first in the process of substitution?

Three steps are included in the substitution technique One of the variables needs to have one equation solved. The other equation can be solved by substituting this expression there. Find the corresponding variable by substituting the value back into the original equation.

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Company B charges $25 x miles than company A.

Let x = Number of miles.

Total charge = Flat charge + (charge per mile) x  (Number of miles)

For Company A ,

Flat charge= $30.50

Charge per mile = 9 cents

For Company B,

Flat charge= $55.50

Charge per mile =  13 cents

Cost from company A = $30.50 + 9c x

Cost from company B = $55.50 + 13c x

Company B cost - Company A cost = $55.50 + 13c x - ($30.50 + 9c x) = $25 x miles.

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Multiplicative inverse of -3/4's is -4/3

A number that, when multiplied by the inputted number, produces the result 1 is said to be the multiplicative inverse of that number. It is a number's reciprocal according to the multiplicative inverse definition. A^-1 or denotes the multiplicative inverse of the number "a".

The multiplicative inverse of a number x is represented by x^-1, which has the property that when multiplied by the original number, it has a value of 1. For instance, 2^-1 is the multiplicative inverse of 2, as it meets the formula: 2 x 2^-1 = 2 x 12 = 1. The reciprocal of a number is another name for it.

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The slope of the graph of the equation 3x + 2y = 6 is -3/2.

In the given question, we have to find the slope of the graph of the equation 3x + 2y = 6.

The slope-intercept version of the line's equation is what we need. In other words, we want y=mx+b in the form of ax+by=c. M is the slope and b is the y-intercept in the slope-intercept form.

The equation for the line intercept form is

y = mx+c

3x + 2y = 6

2y = 6-3x

y = [tex]\frac{6-3x}{2}[/tex]

y = 6 - [tex]\frac{3x}{2}[/tex]

y = -[tex]\frac{3x}{2}[/tex] + 3

The line's slope is (m) = -3/2.

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The inequality that models this situation is: 10x + 7y ≥ 200

This inequality can be read as "the number of calories burned kickboxing plus the number of calories burned swimming is greater than or equal to 200." The left side of the inequality represents the total number of calories burned, which is calculated by multiplying the number of minutes spent kickboxing (x) by the number of calories burned per minute kickboxing (10) and adding that to the number of minutes spent swimming (y) multiplied by the number of calories burned per minute swimming (7). The right side of the inequality is the minimum number of calories that need to be burned each day, which is 200.

Therefore, the inequality shows that the total number of calories burned through kickboxing and swimming should be greater or equal to 200 which is 10x + 7y ≥ 200.

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Answer:

1. 3 3/4 in

2. 4 1/4

Step-by-step explanation:

look at graph

Answer:

15/3.

hope you like it.

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