What is the graph of the absolute value function y = |x| + 3? How is this graph different from
the graph of the parent function f(x) = |x|?

Answers

Answer 1

Step-by-step explanation:

I cannot draw here.

but the graph of f(x) = |x| is a big "V".

on the negative x side it is a line diagonally from the top left to the origin (0, 0), and on the positive x side it is a line diagonally from the origin (0, 0) to the top right.

now, f(x) = |x| + 3 is then the whole (otherwise unchanged) graph of |x| shifted up by 3 units. and the "V" vertex is then at (0, 3) instead of at (0, 0).


Related Questions

URGENT A bakery wanted to make their muffins more uniform in size. They reworked their equipment to do so. To test the changes, they made 25 muffins then measured each one. Which of the following should they use to determine whether or not the equipment changes worked?

Select one:

a.
mean

b.
mode

c.
range

d.
interquartile range

Answers

The bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

To determine whether the equipment changes made by the bakery have resulted in more uniform-sized muffins, they should use the measure of variability. The most suitable measure, in this case, would be the range.

The range is calculated by finding the difference between the maximum and minimum values in a data set. In this scenario, the bakery made 25 muffins and measured each one. By finding the range of the measurements, they can assess the spread of sizes among the muffins.

Here's how they can use the range to evaluate the effectiveness of the equipment changes:

Collect the measurements of all 25 muffins.

Determine the maximum and minimum measurements.

Calculate the range by subtracting the minimum measurement from the maximum measurement.

If the range of the muffin sizes is smaller compared to the range before the equipment changes, it suggests that the modifications have resulted in more uniform-sized muffins. Conversely, if the range remains similar or larger, it indicates that the changes might not have effectively improved the uniformity of muffin sizes.

Therefore, the bakery should use the range to determine whether or not the equipment changes have worked. The correct answer is C.

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Is this correct or not?
If not please provide correct answer

Is this correct or not?If not please provide correct answer

Answers

Answer:

It is correct please I do not want yo sound rude can you give me brainliest answer.

Answer:

correct steps

Step-by-step explanation:

if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.

Find the output, y, when the input, x, is -9.
y =

Find the output, y, when the input, x, is -9.y =

Answers

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Find the output, y, when the input, x, is -9.y =

A number cube is rolled. Event A is rolling an odd number, and event B is rolling a factor of 12. What is P(AU B)?

Answers

Answer:  1

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

A U B can be read out as "event A or event B"; so P(A U B) is "the probability event A happens or B happens or both".A intersect B = {1,3} = values that are in both set A and set B at the same time. These are both odd and a factor of 12.

What is an equation of the axis of symmetry of the parabola represented by y=-x^2+6x-4?

im giving brainliest!!

Answers

Answer:

Step-by-step explanation:

Take out a common factor of -1 from the first 2 terms

y = -(x^2 - 6x ) - 4

Take -6 and multiply it by 1/2 and square the result. Add inside the brackets

y = -(x^2 -6x +(-3)^2 ) - 4

y = -(x^2 - 6x + 9) - 4

Because you added nine inside the brackets add 9 outside the brackets

y = -(x^2 - 6x + 9) - 4 + 9

The reason you add 9 outside the brackets is because of the minus sign on the left of the brackets. Without that minus sign, you would subtract 9.

Result

y = -(x^2 - 6x + 9) + 5

Now what is inside the brackets is a perfect square

y= -(x -3)^2 + 5

The axis of symmetry is x = 3 (see the graph below)

4

What is an equation of the axis of symmetry of the parabola represented by y=-x^2+6x-4?im giving brainliest!!

Fill in the missing numbers to complete the linear equation that gives the rule for this table.

x y
4 –39
5 –40
6 –41
7 –42


y =__ x −__

Answers

The linear equation that represent the table is y = -x - 35

How to find a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1.

The linear equation of the table can be represented in slope intercept form as follows:

y = mx + b

where

m = slopeb = y-intercept

Hence,

m = -40 + 39 / 5 - 4

m = - 1 / 1 = -1

Hence, using (4, -39)

y = -x + b

-39 = -4 + b

-39 + 4 = b

b = -35

Therefore,

y = -x - 35

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Which of the expressions are equivalent to the one below check all the apply (12 + 3) ÷ 5

Which of the expressions are equivalent to the one below check all the apply (12 + 3) 5

Answers

The expression is equivalent to the expression (12 + 3) ÷ 5 is (3 + 12) ÷ 5

Which of the expressions are equivalent to the expression

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

(12 + 3) ÷ 5

The above expression is a quotient expression

However, we can apply some algebraic properties

Take for instance;

12 + 3 can be expressed as 3 + 12

So, we have

(12 + 3) ÷ 5 = (3 + 12) ÷ 5

Hence, the expression is equivalent to the expression is (3 + 12) ÷ 5

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What do you need to do first to solve this equation? -62 +4= -20

Answers

Answer:

Add -62 and 4

Step-by-step explanation:

Step-by-step explanation:

-62+4=-20

-58=-20

58=20

Lugar geométrico infinito formado por un conjunto de puntos que conservan la misma dirección

Answers

Answer:

l lugar geométrico de los puntos que equidistan a otros dos puntos fijos {\displaystyle A}A y {\displaystyle B}B es una recta o eje de simetría de dichos dos puntos. Si los dos puntos son los dos extremos de un segmento {\displaystyle {\overline {AB}}}\overline {AB}, dicha recta, o lugar geométrico, es llamada mediatriz y es la recta que interseca perpendicularmente a {\displaystyle {\overline {AB}}}\overline {AB} en su punto medio.

La bisectriz cumple la propiedad de que todos sus puntos equidistan a los lados de dicho ángulo, convirtiéndose la bisectriz en un caso particular del lugar geométrico que sigue a continuación.

El caso de equidistancia a dos rectas paralelas, obtenemos que la paralela media es el lugar geométrico de los puntos que las equidistan. Se observa que, bajo el punto de vista de que las rectas paralelas se cortan en el infinito -se elimina, pues, la noción de paralelismo-, pasa a ser un sinónimo de la bisectriz, donde el ángulo ha tomado valor nulo.

Secciones cónicas

Las secciones cónicas pueden ser descritas mediante sus lugares de geométria:

La circunferencia es el lugar geométrico de los puntos cuya distancia a un punto determinado, el centro, es un valor dado (el radio).

La elipse es el lugar geométrico de los puntos tales que la suma de su distancia a dos puntos fijos, los focos, es una constante equivalente a la longitud del eje mayor de la elipse.

La parábola es el lugar geométrico de los puntos cuya distancia a un foco equivale a su distancia a una recta llamada directriz.

La hipérbola es el lugar geométrico de los puntos tales que el valor absoluto de la diferencia entre sus distancias a dos puntos fijos, los focos, es igual a una constante (positiva), que equivale a la distancia entre los vértices.

Una recta es un lugar geométrico infinito formado por un conjunto de puntos que conservan la misma dirección.

Descripción de un enunciado de un lugar geométrico dado

En este ejercicio debemos concluir que tipo de expresión se deriva del enunciado del lugar geométrico. Recuérdese que un lugar geométrico es un conjunto de puntos que satisfacen una característica dada.

Matemáticamente hablando, el lugar geométrico puede ser definido a partir de las definiciones de longitudes de segmento de recta:

\(AC = AB + BC\) (1)

Puesto que \(AB\) y \(BC\) tienen la misma dirección, entonces es posible aplicar las siguientes equivalencias:

\(BC = k \cdot AB\), \(k\in \mathbb{R}\) (2)

\(AC = r\cdot AB, \,r\in\mathbb{R}\) (3)

Al aplicarse (2) y (3) en (1) y simplificar la expresión, tenemos lo siguiente:

\(r = 1 + k\) (4)

Por geometría analítica tenemos que el lugar geométrico debe ser una recta, puesto que \(r\) y \(k\) representan un conjunto infinito de elementos. \(\blacksquare\)

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Which statement is true about the graphed function?

F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞)

Answers

The true statement about the graphed function is:

F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

When a function is positive and when it is negative?

Looking at it's graph, we have that:

The function is positive when it is above the x-axis.The function is negative when it is below the x-axis.

Researching this problem on the internet and looking at the graph of the function, the correct statement is given by:

F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

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what is the functions domain ?
what is the functions range ?
find the values of the function f(-5)= and f(-1)=​

what is the functions domain ?what is the functions range ?find the values of the function f(-5)= and

Answers

Answer:

domain: -∞ < x < ∞range: -∞ < y ≤ -1f(-5) = -2f(-1) = -4

Step-by-step explanation:

Function values and the extent of the graph can be determined by reading the graph.

Domain

The domain of the function is the set of values for which the function is defined. It is the horizontal extent of the graph. The graph shows the function is defined for all real numbers.

  The domain is -∞ < x < ∞.

Range

The range of the function is the set of output values the function may have. It is the vertical extent of the graph. The graph shows the function can have any value no greater than -1.

  The range is -∞ < y ≤ -1.

Function values

Function values can be read from the graph by locating the x-value on the x-axis, and following the vertical line to its intersection with the function graph. The y-value of that point is the function value.

  f(-5) = -2

  f(-1) = -4

Or, we can write the function definition based on the graph, and use that definition to find the values at specific points. The graph is of the absolute value function reflected over x and translated <-4, -1>.

  f(x) = -|x+4| -1

  f(-5) = -|-5 +4| -1 = -1 -1 = -2

  f(-1) = -|-1 +4| -1 = -3 -1 = -4

If leah has 22 boxes she gives 12 boxes to her mom how many boxes does leah have left

Answers

Subtract the amount she gives her mom from the total amount she has:

22 - 12 = 10

She has 10 boxes left.

Write the equation of the line in all three forms that is perpendicular to the line 6x+18y=36 and goes through the point (-5,4) Point-Slope Form, Slope-Intercept Form, and Standard Form

Answers

Answer:

Step-by-step explanation:

SLOPE OF THE GIVEN LINE

6x + 18y = 36

x + 3y = 6

3y = -x + 6

3/3 y = -1/3 x + 6/3

y = -1/3 x + 2

Slope = -1/3


slope of a perpendicular line  = 3

POINT SLOPE FORM

y-4 = 3(x-(-5)

y - 4 = 3(x+5)


SLOPE INTERCEPT FORM

y-4 = 3x + 15

y = 3x + 15 + 4

y = 3x + 19

STANDARD FORM

3x - y + 15 + 4 = 0

3x - y + 19 = 0

Equation of line in point slope form is y-4= 3 (x+5), y=3x+19 is equation in slope intercept form and equation in standard form is 3x-y+19=0.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

6x+18y=36

18y=-6x+36

Divide both sides by 18

y=-6/18x+36/18

y=-1/3x+2

Slope of given line is -1/3, so slope of perpendicular line is 3.

The equation of line in point slope form with slope 3 and goes through the point (-5,4) is given below

y-4= 3 (x+5)

To find the equation in slope intercept form we need to find y intercept

4=3(-5)+b

4=-15+b

19=b

y=3x+19 is equation in slope intercept form.

The equation in standard form is 3x-y+19=0

Hence,  equation of line in point slope form is y-4= 3 (x+5), y=3x+19 is equation in slope intercept form and equation in standard form is 3x-y+19=0.

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Help question 3 thanks

Help question 3 thanks

Answers

Answer:

C. 115.2

Step-by-step explanation:

First, divide what you know, 4,000 seeds by 8 lbs. This gives us 500. From here, divide the 57,600 by 500 to get 115.2 :) hope this helps lmk if you need clarification

what is greater 0.5 or 2/4

Answers

Answer:

neither one is greater

Step-by-step explanation:

Because 0.5 as a fraction is 1/2 and 2/4 simplified is also 1/2 so they are equal

!!HELP MEEE!!!
What is the length of PQ?

14 units
17 units
27 units
34 units

!!HELP MEEE!!!What is the length of PQ? 14 units17 units27 units34 units

Answers

The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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Adrian is training for a 5K race. She ran 5.5 miles the first week, 7.25 miles the second week and 10 miles the third week. On the average, how many miles did she run per week? Round to the nearest hundredth.

Answers

Answer:

7.58 miles on average per week

Step-by-step explanation:

The floor of a storage unit is 6 ft long and 8 feet wide what is the distance between two opposite corners of the floor

Answers

Answer:

10 feet

Step-by-step explanation:

Find the hypotenuse

a^2 + b^2 = c^2

6^2 + 8^2 =c^2

36+ 64 = c^2

100=c^2

(square root) 100 = 10

c=10

Can you simplify thiss !

-2 - x

Answers

To simplify the expression -2 - x, we can combine the constant term (-2) with the variable term (-x).

So, -2 - x simplifies to -2x - 2.

Let's simplify the expression -2 - x step by step:

Step 1: Start with the given expression: -2 - x.

Step 2: To simplify, we combine like terms. In this case, we have a constant term (-2) and a variable term (-x).

Step 3: Combine the constant term (-2) with the variable term (-x) by subtracting x from -2. This gives us -2x.

Therefore, the simplified expression is -2x.

In summary, -2 - x simplifies to -2x.

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i poopoo myself how to clean

Answers

Answer:

you clean!?

Step-by-step explanation:

I just lick it

Answer:

use toilet paper

Step-by-step explanation:

first you clean yourself then you clean again until very clean lol

I NEED HELP!!!! I DONT UNDERSTAND WHAT TO DO SO IF YOU COULD SOLVE IT FOR ME THAT WOULD BE GREAT!!! THXXXX

I NEED HELP!!!! I DONT UNDERSTAND WHAT TO DO SO IF YOU COULD SOLVE IT FOR ME THAT WOULD BE GREAT!!! THXXXX

Answers

The measure of the angles are:

∠1 = 90

∠2 = 90

∠3 = 132

We have,

The angle between the tangent and the radius of a circle is 90.

So,

∠1 = 90

∠2 = 90

And,

48 + 90 + 90 + ∠3 = 360 ______(1)

Solve for ∠3 from (1).

48 + 90 + 90 + ∠3 = 360

48 + 180 + ∠3 = 360

∠3 = 360 - 228

∠3 = 132

Thus,

The measure of the angles are:

∠1 = 90

∠2 = 90

∠3 = 132

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how many half liter glasses can be filled from a jug that holds 18.5 liters of water

Answers

Answer:

Step-by-step explanation:

one litre, 2 glasses.

18.5 litres, 2*18.5 = 37 glasses.

Answer:

37

Step-by-step explanation:

18.5/.5=37

if f(x) = x^2 + 2, which interval describes the range of this function

Answers

the range is [2, ∞)

The interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).

What is domain and range of function?

Domain of a function is the set of all the possible input values which are valid for that function. Range of a function is the set of all the possible output values which are valid for that function.

The given function is,

\(f(x) = x^2 + 2\)

The domain of this function is all real numbers. As the quadratic function has the constant value of 2. The vertex of the function is at 0,-2. Thus, the range of this function is,

\(y\in R, y\geq -2\)

Thus, the interval which describes the range of the provided function x^2 + 2 is negative infinity to two (-∞,2).

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Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,003 was collected on the sale of 1,187 tickets. How many of each type of ticket were sold?

Answers

Therefore , the solution of the given problem of equation  comes out to be 454 adult tickets and 733 student tickets were sold.

What exactly is a linear equation?

The formula y=mx+b is used to produce a simple regression curve. The slope is B, and the y-intercept is m. Despite the fact that the previous line represents distinct components, the phrase "math equation blending several variables" is frequently used to describe it. In bivariate linear equations, there are just two variables. Application problems involving linear equations have no known solutions. Y=mx+b, usually known as mx+b, presents an easy-to-understand set of equations.

Here,

Let x be the number of adult tickets sold, and y be the number of student tickets sold.

The total number of tickets sold is 1,187: x + y = 1187.

The total amount of money collected is $3,003: 5x + 1y = 3003.

We can use the first equation to solve for x in terms of y: x = 1187 - y.

Substituting this expression for x into the second equation, we get:

5(1187 - y) + y = 3003

Simplifying and solving for y, we get:

5935 - 4y = 3003

-4y = -2932

y = 733

So 733 student tickets were sold. To find the number of adult tickets sold, we can use either of the original equations. Let's use x + y = 1187:

x + 733 = 1187

x = 454

So 454 adult tickets were sold.

Therefore, 454 adult tickets and 733 student tickets were sold.

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5. The graph of F(x), shown below, resembles the graph of G(x)=x2, but it has been
flipped over the x-axis, stretched vertically by a factor of 3, shifted down 4 units, and
left 1 unit.
-6
F(X)
Part I: Write the equation of F(x).

5. The graph of F(x), shown below, resembles the graph of G(x)=x2, but it has beenflipped over the x-axis,

Answers

Using translation concepts, the equation of F(x) is given as follows:

-3(x + 1)² - 4.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The effect of the transformations on G(x) = x² is given as follows:

Reflection over the x-axis: F(x) = -G(x) = -x².Vertical stretch by a factor of 3: F(x) = -3G(x) = -3x².Shift down of 4 units: F(x) = -3G(x) - 4 = -3x² - 4.Shift left of 1 units: F(x) = -3G(x + 1) - 4 = -3(x + 1)² - 4.

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Compute the probability of x successes in the n independent trials of the experiment. n=9​, p=0.5​, x≤3

Answers

The probability of x successes in the n independent trials of the experiment is 0.1640625

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

Given that, n=9​, p=0.5​, x≤3 we need to find probability of x successes in the n independent trials of the experiment.

We know that,

P(X=x) = ⁿCₓpˣq⁽ⁿ⁻ˣ⁾

q = 1-p = 1-0.5

q = 0.5

P(X=x) = ⁹C₃(0.5)³(0.5)⁹⁻³

P(X=3) = ⁹C₃ (0.5)³(0.5)⁶

⁹C₃ = 9! / 3!(9-3)! = 9!/3! × 6!

⁹C₃ = 84

P(X=3) = 84×0.125×0.015625

= 0.1640625

Hence, the probability of x successes in the n independent trials of the experiment is 0.1640625

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pleaseee help meeeeee​

pleaseee help meeeeee

Answers

Answer: true

Step-by-step explanation:

The x column does not have any repeats

Answer:

False!

Step-by-step explanation:

It looks true until the last row. The first 4 rows, if you multiply the # of trees by 13, you get the # of apples. But, in the last row, 12 x 13 is 156, and the table says 146.

What values of b satisfy 3(2b + 3)² = 36?

Answers

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

a survyer was conducted amount 25 young adults to determine how many of them exercised during the week four people they exercised four days a week five people said they excersized five days a week what percentage exercised four or five days per week

Answers

The percentage of young adults who exercised four or five days a week is 36%

Out of the 25 young adults surveyed, a total of 4 people exercised four days a week and 5 people exercised five days a week. To calculate the percentage of young adults who exercised four or five days a week, we add the number of people who exercised four days a week to the number of people who exercised five days a week, which gives us a total of 9.

We then divide this by the total number of people surveyed (25) and multiply by 100 to get the percentage.

So the percentage of young adults who exercised four or five days a week is

(9/25) x 100 = 36%

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Content attributionQUESTION 301 POINTSolve the formula - 4x + 9y = -8 for y.+-Provide your answer below:=

Answers

EXPLANATION

Since we have the formula - 4x + 9y = -8

Adding +4x to both sides:

9y = -8 +4x

Dividing both sides by 9:

\(y=-\frac{8}{9}+\frac{4}{9}x\)

Rearranging terms:

\(y=\frac{4}{9}x-\frac{8}{9}\)

The solution is y= (4/9)x -8/9

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Insurance often causes people to take on additional risks. Thisis an example ofa.the principal-agent problemb.adverse selectionc.moral hazardd.a negative externality2 using currently accepted p/o ratios, what is the total atp potential yield from one acetyl-coa in the citric acid cycle? an extension cord made of two wires of diameter 0.129 cm (no. 16 copper wire) and of length 2.7 m (9 ft ) is connected to an electric heater which draws 13.0 a on a 120-v line.The resistivity of copper is 1.6810^8 m1.6810^8 m.How much power is dissipated in the cord? Express your answer to two significant figures and include the appropriate units. Freedom comes from the same root as friend, an Indo-European word that meant "dear" or "beloved." T/F The Bohr radius of the hydrogen atom is 0.0529 nm. That's the radius in the n=1 state. What is the radius of the hydrogen atom in the n=3 state.?A.0.48 nmB.0.16 nmC.0.0529 nmD.0.00588 nm What is meant by continuity of a function explain with an example? PLZ HELP ASAP DUE TMR NEED RN TYSM Aurora has a cell phone plan that charges $65 for phone service plus $12 for each gigabyte of data used each month.If her bill for September is $113, how many gigabytes of data did she use in September?Enter your answer as a number, like this: 42 The area of a square with side s is A(s)=s2. What is the rate of change of the area of a square with respect to its side length when s=10? What is the 7th term in the sequence below?6, 36, 216, 1296, . . . A. 7,776 B. 46,656 C. 279,936 D. 1,679,616 eoanthropus dawsoni showed that human ancestors had humanlike brains but apelike teeth. australopithecus africanus showed that human ancestors had apelike brains but humanlike teeth. additional fossil finds group of answer choices confirmed that human ancestors were very apelike, and eoanthropus dawsoni was a fake. confirmed that the two species lived side by side in europe. suggested that eoanthropus was a diverse genus and included both species. showed that humanlike hominin brains underwent an apelike phase while the teeth stayed the same. Recording Transactions in T-Accounts, Preparing a Statement of Financial Position from a Trial Balance, and Evaluating the Current Ratio LO2-4, 2-6 Injection Plastics Company has been operating for three years. At December 31, 2020, the accounting records reflected the following: Cash Investments (short-term) Accounts receivable Inventories Notes receivable (long-term) Equipment Factory building $ 31,000 Intangibles 4,000 Accounts payable 5,000 Accrued liabilities 34,000 Short-tern borrowings 3,000 Notes payable (long-term) 58,000 Contributed capital 100,000 Retained earnings $ 5,000 17,000 4,000 9,000 58,000 110,000 42,800 During the year 2021, the following summarized transactions were completed: a. Purchased equipment that cost $22,000; paid $8,000 cash and signed a one-year note for the balance. The length of the kite string is 86 m. The angle that the string makes with theground is 36. Calculate the vertical height of the kite The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers? How are all animals like as heterotrophs?All animals have multiple cells.All animals are made up of cells organized into tissues.All animals have two copies of each chromosome.All animals need food to survive. can propanol become oxidised to propanoic acid in 2021 Yelina Sanchez created a trust for her two children naming the eldest as trustee. The trust instrument provided that the income earned from the trust should be distributed annually and an additional $3000 be distrubeted to a local animal shelter. What classification best describes this trust: Charitable: Complex: Grantor: Simple Choose 4 questions out of the following 6 . Write your answersin the given space. Write the question number clearly.1. Explain how you will assess utility when making a decisionbased on utilitarian Ned's Tuna has the following production function: q=K3/4L/4, Where q is the number of tunas per hour, L is the number of workers and K is the number of boats. Suppose that w = $20/hour (PL) and r = $30/hour (PK). a. Find Ned's marginal product of labor (MPL). Does it exhibit diminishing marginal returns? b. Find Ned's marginal product of capital (MPK). Does it exhibit diminishing marginal returns? c. Find and draw an isocost function for C = $600/hour. d. Suppose that Ned is stuck with 2 boats in the short run. Find Ned's short-run total cost (TC) function (as a function of q). e. What is Ned's short-run average total cost (ATC) function, average variable cost (AVC) function, and marginal cost (MC) function? f. In the long-run Ned can change the number of boats (that is, both L and K are variable). Find and draw the expansion path for Ned's production function. g. Derive Ned's long-run total cost (LRTC) function (as a function of q). [Note: numbers need not be nice and rounded here]. h. What is Ned's long-run average cost (LRAC) function, and long-run marginal cost (LRMC) function? How might reading political texts influence his future role as a revolutionary leader?