What is the equation for Twice the difference of a number and 7 equals 2

Part A: The function is nonlinear.

Part B: We determined the function to be nonlinear because the corresponding y-values do not change by a constant rate as the x-values increase, indicating a lack of a linear relationship.

Part A: The given function is nonlinear.

Part B: To determine whether the function is linear or nonlinear, we need to examine the relationship between the x-values and the corresponding y-values in the table.

In a linear function, there is a constant rate of change between the x and y values.

This means that for every increase in x by a fixed amount, the corresponding y value will change by a constant amount.

If we look at the x-values in the given table (2, 3, 4), we can see that they are increasing by a fixed amount of 1 each time.

However, when we examine the corresponding y-values (20, 10, 40), we don't see a constant rate of change.

The y-values are not changing by the same amount for each increase in x.

For instance, when x increases from 2 to 3, the y-value decreases from 20 to 10.

This indicates a non-linear relationship as the change in y is not constant for each unit increase in x.

Additionally, when x increases from 3 to 4, the y-value jumps significantly from 10 to 40, which further confirms the nonlinear nature of the function.

Based on these observations, we can conclude that the given function is nonlinear.

For similar question on nonlinear.

https://brainly.com/question/2030026  

#SPJ8

Answer:

$12.40

subtract 12.80 from 50 to get 37.20 then divide by 3

The tens digit is 8, and the units digit is 9 (since y = x + 1). Therefore, the original number is 89.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation contains one or more variables, which are unknown values that can vary or change. The variables are usually represented by letters such as x, y, or z. The expressions on either side of the equals sign can be constants, variables, or functions of variables.

The simplest form of an equation is a linear equation, which can be represented as ax + b = c, where a, b, and c are constants and x is a variable. To solve a linear equation, we need to find the value of the variable that makes the equation true. This is done by performing arithmetic operations on both sides of the equals sign to isolate the variable.

Equations can also be more complex, involving multiple variables, powers, and functions. In such cases, algebraic techniques such as factoring, substitution, and solving systems of equations may be required to find the solution.

Equations are used to describe relationships between variables in many fields of study, including physics, chemistry, economics, and engineering. They are also used in everyday life, such as in calculating the cost of a purchase after applying a discount, or determining the amount of time it takes to travel a certain distance

Let's represent the tens and units digits with x and y, respectively. According to the problem statement, we have two equations:

y = x + 1 (the units digit is one more than the tens digit)

10x + y + 10y + x = 187 (the sum of the original number and the reversed number is 187)

Simplifying the second equation, we get:

11x + 11y = 187

x + y = 17 (dividing both sides by 11)

Substituting y = x + 1 into the second equation, we get:

x + (x + 1) = 17

2x + 1 = 17

2x = 16

x = 8

So the tens digit is 8, and the units digit is 9 (since y = x + 1). Therefore, the original number is 89.

To know more about digits visit:

https://brainly.com/question/10870813

#SPJ1

Answer:

50.27km

Step-by-step explanation:

divide the circumference by 3.14 ( pi ) to find the diameter of the circle. Half the diameter is the radius. Square the radius and multiply by pi to find the area of the circle.

Answer:

Step-by-step explanation:

Answer: Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

Hope this helps!!

The statement "The rate to mow a lawn is 0.5 acres per hour" correctly describes the slope of the line passing through the given points.

We have,

To determine the slope of the line passing through the points (3, 1.5) and (5, 2.5), we can use the slope formula:

Slope = (change in y) / (change in x)

Given the two points, we can calculate the change in y and the change in x:

Change in y = 2.5 - 1.5 = 1

Change in x = 5 - 3 = 2

Plugging these values into the slope formula:

Slope = 1 / 2 = 0.5

The slope represents the rate of change of the y-coordinate (area) with respect to the x-coordinate (time).

In this case, a slope of 0.5 means that for every hour it takes Aaron to mow a lawn (change in x), the area mowed (change in y) increases by 0.5 acres.

Therefore,

The statement "The rate to mow a lawn is 0.5 acres per hour" correctly describes the slope of the line passing through the given points.

Learn more about slope here:

https://brainly.com/question/23087740

#SPJ2

Answer:

slope= 4,

Step-by-step explanation:

y = 4x-6

Answer:

$51.05

Step-by-step explanation:

the answer is $51.05

Answer:

whats the total wight of each person

Step-by-step explanation:

Answer:

\(\textsf{1.(a)} \quad x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

\(\textsf{1.(b)} \quad 9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\begin{aligned}\textsf{2.(a)}\quad3x^2-24x+48&=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\\&=3\left(x-\boxed{4}\right)^2\end{aligned}\)

\(\begin{aligned}\textsf{2.(b)}\quad \dfrac{1}{2}x^2+8x+32&=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\\&=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\end{aligned}\)

Step-by-step explanation:

(a) When completing the square for a quadratic equation in the form ax² + bx + c where the leading coefficient is one, we need to add the square of half the coefficient of the x-term:

\(x^2-14x+\left(\dfrac{-14}{2}\right)^2\)

\(x^2-14x+\left(-7\right)^2\)

\(x^2-14x+49\)

We have now created a perfect square trinomial in the form a² - 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Therefore:

\(a^2=x^2 \implies a=1\)

\(b^2=49=7^2\implies b = 7\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(x^2-14x+\boxed{49}=\left(x-\boxed{7}\right)^2\)

(b) When completing the square for a quadratic equation where the leading coefficient is not one, we need to add the square of the coefficient of the x-term once it is halved and divided by the leading coefficient, and then multiply it by the leading coefficient:

\(9x^2 + 30x +9\left(\dfrac{30}{2 \cdot 9}\right)^2\)

\(9x^2 + 30x +9\left(\dfrac{5}{3}\right)^2\)

\(9x^2 + 30x +9 \cdot \dfrac{25}{9}\)

\(9x^2 + 30x +25\)

We have now created a perfect square trinomial in the form a² + 2ab + b². To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 +2ab + b^2 = (a +b)^2}\)

Therefore:

\(a^2=9x^2 = (3x)^2 \implies a = 3x\)

\(b^2=25 = 5^2 \implies b = 5\)

Therefore, the perfect square trinomial rewritten as a binomial squared is:

\(9x^2 + 30x +\boxed{25}= \left(3x +\boxed{5}\right)^2\)

\(\hrulefill\)

(a) Factor out the leading coefficient 3 from the given expression:

\(3x^2-24x+48=3\left(x^2-\boxed{8}\:x+\boxed{16}\right)\)

We have now created a perfect square trinomial in the form a² - 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2 -2ab + b^2 = (a -b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=3\left(x-\boxed{4}\right)^2\)

(a) Factor out the leading coefficient 1/2 from the given expression:

\(\dfrac{1}{2}x^2+8x+32=\dfrac{1}{2}\left(x^2+\boxed{16}\:x+\boxed{64}\right)\)

We have now created a perfect square trinomial in the form a² + 2ab + b² inside the parentheses. To factor a perfect square trinomial, use the following formula:

\(\boxed{a^2+2ab + b^2 = (a +b)^2}\)

Factor the perfect square trinomial inside the parentheses:

                        \(=\dfrac{1}{2}\left(x+\boxed{8}\right)^2\)

Step-by-step explanation:

Since ABCD is a rectangle

⇒ AB = CD and BC = AD

x + y = 30 …………….. (i)

x – y = 14 ……………. (ii)

(i) + (ii) ⇒ 2x = 44

⇒ x = 22

Plug in x = 22 in (i)

⇒ 22 + y = 30

⇒ y = 8

The function g(x) is g(x) = Ix + 3I.

The correct option is B.

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

horizontally moving the f(x) k unit coordinates may be drawn.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

Given that the parent function is f(x) = IxI.

From the definition,

the transformed function is moved horizontally to 3 units to the right.

So, the function is g(x) = Ix + 3I.

Therefore, g(x) = Ix + 3I.

To learn more about the transformation on the graphs;

https://brainly.com/question/19040905

#SPJ7

Answer:

Since the equations involve functions and their derivatives, we might bet- ter call them  If this rate were to persist for 20 years (= 240 months), R would have increased by  similar to equation (1) when the number of rabbits R is near 2000, but which The fox population increases at a rate proportional to the number of.

Step-by-step explanation:

i think this it

Answer:

  x = 4 5/6

Step-by-step explanation:

The fractions have denominators of 4 and 8. The least common multiple of these is 8, so we can eliminate fractions by multiplying both sides of the equation by 8.

  8(3/4x -3) = 8(5/8)

  6x -24 = 5 . . . . . . . . . eliminate parentheses

  6x = 29 . . . . . . . . add 24

  x = 29/6 = 4 5/6 . . . . divide by 6

The solution is x = 4 5/6.

__

Check

Substituting 26/6 for x, we get ...

  (3/4)(29/6) -3 = 5/8

  29/8 -3 = 5/8

  (29 -24)/8 = 5/8 . . . . . true

Answer:

60/11.

Step-by-step explanation:

You're finding the tangent of J. Tan = opposite/adjacent

Answer:

it is too blury to read

Step-by-step explanation:

a) We have a right triangle.

We have to find the value of x, which is the hypotenuse.

We can relate the angle B, the side AC and x with a trigonometric ratio as:

b) In this case, x is the adyacent side to angle A.

We can relate the sides and the angle as:

Answer:

a) x = 12.9

b) x = 2.0

Answer:

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

I think the median is 13 because i subtracted 26 by 13

Answer:

A. -(3/10)x + 1 = 10

B. x = -30

Step-by-step explanation:

A. first, we know that we are multiplying a number (x) by -3/10 because that's the fraction of the number we are taking. Then, we add one to that number. After doing so, we are told that we get 10. Thus, -(3/10)x + 1 = 10

B. in solving this, first we subtract 1 from both sides, to get

-(3/10)x = 9

then, we divide both sides by -3/10 to get

x = -30

In polar coordinates we must have two things to plot a point, it's the radius and the angle

If we use a negative angle, it just means that we are doing the rotation clockwise.

Therefore the point (2, -π) is

We do a 2 units long line and rotate is by -π, the result is

Answer:

Step-by-step explanation:

A. (AUBUC)' = {}

B. (A UBUC)' is the empty set.

Both options A and B express that the complement of the union of the sets A, B, and C is the empty set. The complement of a set is the set of all elements that are not in that set. The union of sets is the set of all elements that are in at least one of the sets.

When taking the union of A, B, and C all the elements in U are included, so there is no element that is not in the set, making the complement of the union of A,B,C is an empty set.

Answer:

Por cada 4 votos que recibió Natalie, Phil recibió 3 votos.

Step-by-step explanation:

If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

For more such questions on sell visit:

https://brainly.com/question/24951536

#SPJ8

The average Honda beat the Dodge but couldn't pass the Audi, thus the Audi won the race.

The averageis calculated by dividing the sum of observations by the number of observations.

The Mini car was then forced to settle for defeating the Smart Car after failing to pass the Audi. since Audi was the only vehicle that was able to stave off the competition and maintain its lead all the way to the finish line, making it the eventual race winner.

In that order, Audi, the Honda, Dodge, Smart Car, and Mini were all overrun by the vehicle in front of them before the Mini was able to surpass the Smart Car and finish in fourth place.

The Honda defeat the Dodge but was unable to pass the Smart Car, so it was the Audi that arrived first in the race.

Learn more about average here

brainly.com/question/24057012

#SPJ9

Answer:

Steps To Convert From Base 10 to Base 2-

Divide the given number (in base 10) with 2 until the result finally left is less than 2.

Traverse the remainders from bottom to top to get the required number in base 2.

Hope this helps you get the answers!

The expression (1 - x)(125 + 80y) gives us the final cost for Hector after applying the coupon, taking into account the surfboard rental fee and the fee per hour for the surfing classes with the instructor.

(1 - x): This represents the remaining percentage after applying the coupon. If the coupon offers a discount of x percent, then (1 - x) represents the percentage of the total cost that Hector has to pay.

(125 + 80y): This represents the original cost without any discounts or coupons. The term 125 represents the surfboard rental fee, and 80y represents the fee per hour that Hector works with the instructor (where y is the number of hours).

(1 - x)(125 + 80y): Multiplying the two terms together gives us the cost after applying the coupon. The expression (1 - x)(125 + 80y) represents the product of the remaining percentage after the coupon and the original cost.

Therefore, the expression (1 - x)(125 + 80y) gives us the final cost for Hector after applying the coupon, taking into account the surfboard rental fee and the fee per hour for the surfing classes with the instructor.

for such more question on percentage

https://brainly.com/question/24877689

#SPJ8

The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

Learn more on word problems:https://brainly.com/question/25693822

#SPJ1