Which equation represents the graph? a graph of a line that passes through the points 0 comma negative 3 and 4 comma negative 1 y equals negative one half times x plus 6 y equals one half times x minus 3 y = 2x − 3 y = −2x + 6

Answers

Answer 1

The equation of the line is y = (1/2)x - 3.

What is an equation of a line?

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (0, -3) and (4, -1)

Now,

The equation of a line is y = mx + c

m = (-1 + 3) / (4 - 0)

m = 2/4

m = 1/2

Now,

(0, -3) = (x, y)

y = mx + c

-3 = (1/2) x 0 + c

-3 = c

c = -3

Thus,

y = (1/2)x - 3 is the equation of the line.

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Related Questions

In the figure, a triangle is removed.. from a square of sides 9m. Find area.​

Answers

If a triangle is removed.. from a square of sides 9m. The  area is: 77.25 m².

How to find the area?

Area of Square = Side × Side = Side²

Area of Square = 9m × 9m

Area of Square = 81 m²

Area of triangle = 1/2 ×b ×h

Area of triangle = 1/2 × 3m × 2.5m

Area of triangle = 3.75m²

Area of Figure = 81m² - 3.75m²

Area Of Figure = 77.25 m²

Therefore the area is 77.25 m².

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You have $28.50. You earn additional money by mowing lawns. Then you purchase a new pair of shoes for $45.09 and have $18.41 left. How much money do you earn mowing lawns?

Answers

Answer:I earn $26.68 by mowing lawns.

Step-by-step explanation:

I do not need an explanation, just a quick answer. Thanks!
The question is in the image.

Answers

Answer:d

Step-by-step explanation:

Why is it not accurate to state that one of the cross sections is a square?

Answers

it is not accurate to state that one of the cross sections is a square as it will be a rectangle.

What is a square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

The given figure is a rectangular cuboid

Another name for a three-dimensional orthotope is a right rectangular prism, often known as a rectangular cuboid or rectangular parallelepiped.

Here the side of the cuboid is a rectangle, so the cross-section of that will be a rectangle, not a square.

Hence it is not accurate to state that one of the cross sections is a square.

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Answer:

  incorrect premise

Step-by-step explanation:

You want to know why it is inaccurate to say one of the cross sections of a rectangular prism is a square.

Cross sections

Cross sections parallel to any face will have the same shape as the face. Those may or may not be square, depending on the shape of the face.

Arbitrary cross sections

However, if a cross section may be made at any angle, there is always a cross section of a rectangular prism that can be a square. The attached figure shows an example.

Please help!!! This is about rational and irrationals

Answers

Answer:

a creo que debes sacr la raiz cuadrada de los dos aciendo los procesos

Gary has 6 more baseball cards than football cards. He has fewer than 125 baseball
cards, Write an inequality for the number of football cards, f, he has.

Answers

around 125-6

Step-by-step explanation:

A plumber charges $75 for the first one-half hour of a service call and an additional $45 for every additional half hour. Write an expression that can be used to find the cost for h half hours and use your expression to find the charge for 3 1/2 hours.

Answers

Answer:

$270

Step-by-step explanation:

h = number of half hours worked

$75 + $45(h-1) = total cost

3 1/2 hrs = 7 half-hours

$75 + $45(7 - 1) = $270

What is One plus One, algebra is so hard guys.

Answers

Answer:

Somethings telling me this is a trick question but the answer is 2.

Step-by-step explanation:

This is a very hard one but I think it’s 2

In its second year of operation, a local Internet provider's profits were $180,500. If this amount was 676% of the company's first-year profits, find the first-year profits (to the nearest hundred dollars).

Answers

The first-year profits (to the nearest hundred dollars) is, $26,701.18.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

In its second year of operation, a local Internet provider's profits were $180,500.

And, This amount was 676% of the company's first-year profits.

Now, Let the amount in the first-year profits = x

So, We can formulate;

⇒ 676% of x = 180,500

⇒ 676/100 × x = 180,500

⇒ x = 180500 × 100 / 676

⇒ x = $26,701.18

Thus, The first-year profits (to the nearest hundred dollars) is, $26,701.18.

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The graph of a quadratic function with vertex (1,-2) is shown in the figure below.
Find the range and the domain.

Answers

The graph of a quadratic function with vertex (1,-2) has the range and the domain respectively, ( -∞, -2 ) and ( -∞, ∞)

What are functions?

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

Vertical line test:-

Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.

If we get more images then it will not be a function.

For example, let us take, y² = 4ax

y = ±√4ax

For single value of x we get two values of y

Hence, it will not be a function.

Given that,

The graph of a function,

whose vertex is (1, -2)

As it can be seen in the graph,

The given quadratic function has defined value for each value of x,

So, the domain of the given function is real numbers,

x  ∈  ( -∞, ∞)

The maximum value of the function is -2

And minimum value of the function is  -∞

The range of the function is   ( -∞, -2 )

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Rewrite the following without an exponent. 4^-3​

Answers

The required simplified value of the given exponential form of expression 4⁻³  is 1/64.

What is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
Given expoenential expression,
=  4⁻³  
= 1 / 4³    [a⁻¹ = 1 /a]
= 1 / 64   [4³ = 64]

Thus, the required simplified value of the given exponential form of expression 4⁻³  is 1/64.

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In exercises 1 and 2 use the graph to solve the equation

Answers

The solution:

Exercise 1:  x = -1 and 3.

Exercise 2:  x = 2 and 4.

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The graphs of the two quadratic equation.

So, Exercise 1,

-x² + 2x + 3 = 0.

From the graph,

-1 and 3 are the zeros of the equation.

The solution of the equation is,

x = -1 and 3.

Exercise 2,

x² - 6x + 8 = 0.

From the graph,

2 and 4 are the zeros of the equation.

The solution of the equation is,

x = 2 and 4.

Therefore, the solutions of the both the equation are given above.

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Math question,Urgent help!!!
Show work thanks

Answers

Among 60 students the probability that the group plays Field Hockey (F) and Basketball (B) is 0.083.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

From the given Venn Diagram -

The number of students who play Field Hockey (F) is = 18

The number of students who play Soccer (S) is = 10

The number of students who play Basketball (B) is = 7

The number of students who play Field Hockey (F) and Soccer (S) is = 4

The number of students who play Field Hockey (F) and Basketball (B) is = 2

The number of students who play Soccer (S) and Basketball (B) is = 5

The number of students who play Field Hockey (F), Soccer (S) and Basketball (B) is = 3

The number of students who play nothing = 11

The probability to find the students who play  Field Hockey (F) and Basketball (B) is -

Probability = (number of students who play Field Hockey (F) and Basketball (B)) + (number of students who play Field Hockey (F), Soccer (S) and Basketball (B)) / (Total number of students in survey)

Substitute the values in the equation -

Probability = (2 + 3) / 60

Probability = 5 / 60

Probability = 1 / 12

Probability = 0.083

Therefore, the probability value is obtained as 0.083.

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6. An astronaut spent 438 days orbiting Earth in the International Space Station. Write 438 days in weeks, rounded off to the nearest week.​

Answers

Answer: 62.57 weeks/63 weeks

Step-by-step explanation:

438 divided by 7 = 62.57
Rounded to the nearest week, 62.57 turns to 62.60 which is closer to 63.
The answer is 63 weeks

In the bar model, the discount is 20%. What percent of the regular price is the sale price? Explain how you could solve the problem using this information.

Answers

The sale price of the item is given by the equation A = $ 22.40

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

The regular price of the item = $ 28.00

The percentage of discount = 20 %

So , the sale price of the item = regular price of the item  - ( percentage of discount x regular price of the item  )

Substituting the values in the equation , we get

The sale price of the item A = 28.00 - ( 0.20 ) x 28.00

The sale price of the item A = 28.00 ( 1 - 0.20 )

The sale price of the item A = 28.00 ( 0.80 )

So , the sale price of item is 80 percentage of the regular price

Therefore , the sale price of the item = ( 80 / 100 ) x $ 28.00

The sale price of the item A = $ 22.40

Hence , the sale price is $ 22.40

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Consider the graph of the function f (x) = log x.
Match each transformation of function f with a feature of the transformed function.

Answers

Transformation of the given function with a feature of the transformed function.

g(x)=-f(x-3) is the vertical asymptote of x=3

j(x)= f(x+3) is x-intercept of (-2,0)

h(x)=3f(x)-3 is domain of (0, ∞)

What is asymptote?

An asymptote is a line that the graph of a function approaches as either x or y go to positive or negative infinity. There are three types of asymptotes: vertical, horizontal and oblique

Given function is : f(x)= log x

g(x)= -f(x+3)= - log(x+3)

g(x)=-f(x-3) is the vertical asymptote of x=3

j(x)= f(x+3) = log (x+3) then

j(x)= f(x+3) is x-intercept of (-2,0)

Domain: As (0,∞), {x | x>0}

h(x) = 3f(x)-3 is domain of (0, ∞)

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A zipline cable is attached to two platforms 1000 ft apart at an angle of depression from the taller platform of 12º. What is the length of the cable, rounded to the nearest foot?

Answers

The length of the cable is 4810 feet.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecent/hypotenuse and

tan = opposite/adjacent.

If the angle of depression from the taller platform of 12°, Then the angle of elevation is (90 - 12) = 78°.

We know, cos = adjacent/hypotenuse.

cos78° = 1000/hypotenuse.

hypotenuse = 1000/cos78°.

hypotenuse = 4810 feet.

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Answer:

1022

Step-by-step explanation:

cos 12 = 1000/x

Determine the value of x.

Answers

Answer: Because there is no image or question I have to make a question myself. If Jimmy had X and Samantha has 17 which is 8 more than Tim and Tim has 20 less than Jimmy. What does Jimmy have?

Step-by-step explanation:

First, we isolate X.

X = Tim + 20.

Tim = 11.

11 + 20 = X

So X = 31

how likely is an event with a probability of 3/4 i ready

Answers

Answer:75%

Step-by-step explanation:3/4 is equal to 0.75

PLEASE HELP ASAP!! Thanks.

For the questions below provide a complete solution with explanation.

1. Eris Orbit. The recently discovered Eris orbits the Sun every 557 years. Use Kepler's 3rd law to find what is its average distance (semi-major axis) from the sun? How does its average distance compare to that of Pluto? (Compare them by either finding their ratio or by calculating the percent difference).

2. If a new dwarf planet is discovered at an orbit with an average distance to the sun of a = 100 AU, what will be its orbital period?

Answers

If Eris Orbit. The recently discovered Eris orbits the Sun every 557 years.

Its average distance (semimajor axis) from the sun is: 67.7 AUDifference between the two dwarf planets is 28.2 AU

What is its average distance (semimajor axis) from the sun?

In order to calculate the semimajor axis of Eris, we need to plug 557 years into the equation
a=P^2/3

a= 557^0.66666667

a = 67.6971 astronomical units.

a = 67.7 AU (Rounded)

Since the average distance for Pluto from the Sun is 39.3 AU

So,

Since the distance of Eris to the sun is 67.7 AU and Pluto to the sun is 39.5

Difference between the two dwarf planets = 67.7AU - 39.5 AU

Difference between the two dwarf planets = 28.2 AU

Based on the above calculation Eris is about 1.5 times farther from the Sun in comparison to Pluto.

Therefore Its average distance (semimajor axis) from the sun is: 67.7 AU and the difference between the two dwarf planets is 28.2 AU

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Use two formulas for volume to find the volume of the figure. Express the answer in terms of pi and then round to the nearest whole number.

Answers

The volume of the composite figure is 117π ft³ or 368 ft³

How to find the volume of a composite figure?

The figure shown is made up of a hemisphere and a cylinder.

Total volume of the figure = volume of hemisphere + volume of cylinder

Formula for the Volume of the hemisphere is;

V = ⅔πr³

Radius (r) of hemisphere = 6/2 = 3 ft

Volume of hemisphere = ⅔ * π * 3³

= 18π ft³

Volume of Cylinder is given by the formula;

V = πr²h

radius (r) = 3 ft

height (h) = 11 ft

Volume of cylinder = π * 3² * 11

= 99π ft³

Volume of the figure = 18π ft³ + 99π ft³ = 117π ft³

Volume of the figure to the nearest whole number = 368 ft³

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5-67x=4/4y Helpppp? Worth 100 and Brainliest heh

Answers

Answer:

x = [tex]-\frac{y - 5}{67}[/tex]

Step-by-step explanation:

Hope this helps

A boy walked 7km on a bearing of 060 degree.represent information on a diagram

Answers

A bοy walked 7km οn a bearing of 60°. Represented this infοrmation on a diagram given belοw.

What are bearing rules in maths?

A bearing in mathematics is the angle, measured in degrees and anticloοkwise from nοrth. Typically, bearings are given as a three figure bearing. Fοr instance, 30° clockwise from nοrth is typically expressed as 0°.

"Pieces that aid objects' rοtation" are bearings. They suppοrt the rotating shaft that mοves the machinery. Cars, planes, power generatοrs, and οther devices all use bearings.

Tο lessen friction between twο spinning or sliding surfaces, a bearing is a mechanical compοnent.

There are many different types of bearings, including ball and rοller bearings, linear bearings, and mοunted versions that may use either, and they are used for rοtating or linear shaft applicatiοns. Bearings are mechanical assemblies that include rοlling elements and typically inner and οuter races.

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Adrianna cuts a pie with a 10-inch diameter into 8 equal slices and eats one slice. How many square inches of pie are left? Use 3.14 for pi. Round the final answer to the nearest tenth of a square inch. Select all the true statements.

a. The area of the whole pie is 314 in.².
b. The area of the whole pie is 78.5 in.².
c. The problem is asking for the area of a fractional piece of the pie.
d. The solution is 9.2 in.².
e. The solution is 68.7 in.².

Answers

On solving the provided question, we can say that Area of pizza is [tex]\pi*r^2[/tex]=25 pi in^2 Divide that by 8 3.125 [tex]\pi in^2[/tex] => 9.82 cm^2 => [tex]9.8 cm^2[/tex] is the  answer

What is area?

The size of an area on a surface can be expressed as an area. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a planar region or planar region refers to the area of a form or planar layer. The total amount of space filled by a planar (2-D) surface or shape of an object is known as its area. Draw a square on a piece of paper using a pencil. a character with two dimensions. The area of a shape on paper is the space it takes up. Imagine that the square is composed of more compact unit squares.

Area of pizza is [tex]\pi*r^2[/tex]=25 pi in^2

Divide that by 8

3.125 [tex]\pi in^2[/tex] => 9.82 cm^2

[tex]9.8 cm^2[/tex] is the  answer

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Explain why the function is not continuous at x= -5

Answers

For the function,

F(x)  = (x² + 11x +28)/(x² + 8x + 15) limit doesn't exist at x = -5 so it is dis-continuous at that point.

What is continuity ?

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  = (x² + 11x +28)/(x² + 8x + 15)

To check whether it is continuous at x = -5

First taking LHL,

[tex]\lim_{h \to \ 0}[/tex] [(-5-h)² + 11(-5 -h) +28]/[(-5 -h)² + 8(-5 -h) + 15]

It is approaching at negative infinity

Now, taking RHL

[tex]\lim_{h \to \ 0}[/tex]  [(-5+h)² + 11(-5 +h) +28]/[(-5 +h)² + 8(-5+h) + 15]

Again, It is approaching at negative infinity

Hence, here limit doesn't exist so it is not continuous at x = -5

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1. Write the equation of a circle in standard form whose center is at (3,-2) and has a radius of 11:


2. Find the average rate of change of a linear function y = f(x) = 2x - 1 if input x is changing
from x=1 to x=3:

Answers

1. The standard form equation of a circle with center (h,k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
Plugging in the given values, we get:
(x - 3)^2 + (y + 2)^2 = 11^2
(x - 3)^2 + (y + 2)^2 = 121

So the equation of the circle is:
(x - 3)^2 + (y + 2)^2 = 121

2. The average rate of change of a linear function y = f(x) = mx + b over an interval [x1, x2] is given by:
average rate of change = (f(x2) - f(x1)) / (x2 - x1)
Plugging in the given values, we get:
average rate of change = (2 * 3 - 1 - (2 * 1 - 1)) / (3 - 1)
average rate of change = (5 - 1) / (3 - 1)
average rate of change = 4 / 2
average rate of change = 2

So the average rate of change of the function y = 2x - 1 over the interval [1, 3] is 2

1. What is the period of the function?

2. Which functions are periodic?

3. Which functions are not periodic?

4. Given the graph of the function f(x), which graph shows the function g(x) if g(x)=f(x−3)?

5. Given the graph of the function f(x), which graph shows the function g(x) if g(x)=f(x)+3 ?

Answers

the answer to ur question is 4

how many unit cubes needed to be added to the figure so that it will have a total volume of 12 cubic units

Answers

The number of cubic units needed to add to the figure so that it will have a total volume of 12 cubic units,  4 units

What is Volume?

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.

Given that,

There are 2 units  in each back side and front side,

So, there are 4 units on the back and front,

Now the number of units between them,

There are 4 units in between both the sides,

Add all the units,

4 + 4 = 8,

there are total 8 units in this figure

Now, the number of units should be added to these 8 units to get a result of 12 units altogether.

So, subtract the 8 units from the 12 units

12 - 8 = 4,

Hence, The units required are 4

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What percent of 2 is 32? If necessary, round your answer to the nearest tenth.

Answers

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

(100 POINTS FREE!) Find the measure of the three missing angles in the rhombus below.
x=
y=
z=

Answers

The measure of the angles x, y, and z will be 93°, 93°, and 87°, respectively for the rhombus.

What are supplementary angles?

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.

As we know that the adjacent angle of the rhombus is supplementary.

As per the given figure, the value of 'x' is given as,

87° + ∠x = 180°

∠x = 180° - 87°

∠x = 93°

Since the opposite angle of the rhombus is congruent to each other.

So ∠y = ∠x

Then ∠y = 93°

And ∠z = 87°

The measure of the angles x, y, and z will be 93°, 93°, and 87°, respectively.

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Select all that apply.A.Encouraging clients to provide feedback about the care they provide when they are dischargedB.Making efforts to ensure that nurses have reasonable and predictable work schedulesC. Providing education about injury prevention and safetyD.Creating an atmosphere that is free of violence or the threat of violenceE. Including nurses in the decisions that must be made at the facility Assume that "Relative Misalignment" is something you want to detect. The more misaligned the lines are, the "stronger" the stimulus intensity is. What method does this experiment employ (method of limits, adjustment, or constant stimuli)? Explain your choice in no more than 2 sentences fill the blank. Whenever the net force on an object is zero, its acceleration ................ (Voting between three candidates) Suppose there are three candidates, A,B, and C, and no citizen is indifferenet between any two of them. A tie for first place is possible inthis case; assume that a citizen who prefers a win by x to a win by y ranks a tie between x and y between an outright win for x and an outright win for y.Show that a citizen's only weakly dominated action is a vote for her least preferred candidates. Find a Nash equilibrium in which some citizen does not vote for her favorite candidate, but the action she takes is not weakly dominated. Accumulation of Traits Essay Looking at your Vertebrates: Accumulation of Traits Over Time handout, study the emergence of each class of vertebrates and the characteristics of each. Remember that there are NO fossils of any class prior to (below) those earliest fossils marking the time of emergence of the class. What does this staggered emergence suggest about the possible origin of each class? Below are three possible answers to this question. A. "All of the vertebrates originated at one time, but the early fossils of some just haven't been found." B. "Each class just magically appeared or was magically created, one following the other." C. "Each class has come from one of the previous classes." 1. Choose one answer that you agree with and support it with evidence using anything weve seen in class. 2. Explain what kind of evidence that you (or we) do not currently have, that would strengthen the idea that you chose. 3. Choose one answer that you do not agree with and explain evidence that contradicts it using anything weve seen in class. Read the excerpt from Catching Sun Rays.Governments and power companies know that solar power is good, so they are also building big solar power plants to keep up with demand. The best place to do that is the Mojave Desert, which covers parts of Arizona, California, Nevada, and Utah. The area gets twice as much sunlight as other parts of the United States. The Mojave is home to the largest solar power installation in the world.Based on the excerpt, which would a business person most likely include in an action plan for building a new solar power plant?finding out the best place to build a solar power plant.finding out the government's opinion of solar power.visiting the solar power installation in the Mojave Desert.visiting the Mojave Desert to see how much sunlight it gets.I choose 3. Can you help me, and tell me if i am wrong or right? (if I am wrong, please tell the answer). 55 points. Determine which point from the pecified et atifie the ytem of equation. Y=8x9 y=6x5 Journalize the adjusting entry needed at December 31 for each of the following independent situation.a. On October 1, we collected $6,000 rent in advance for a year.b. Interest revenue of $800 has been earned but not yet received.c. Salary expense is $1,500 per day and the business pays employees each Friday. Dec. 31 falls on a Wednesday.d. The unadjusted balance of the supplies account is $3,100. Supplies on hand total $1,200.e. Equipment was purchased last year at a cost of $10,000. The equipment's useful life is 4 years. Record the year's depf. On September 1, we prepaid $1,200 for a two year insurance policy.(yearly basis) Manifest destiny definition is ? Aluminum Nitrate: Formula, Uses & Solubility how many types of gametes can be formed from individuals of aabb genotype How does Grant feel about his profession? In the book a lesson before dying Which one of the following is the best reason real GDP is an important measurement for an economy?A. It measures all economic activity, both market and non-market transactions.B. It is a monetary measure that allows for comparison of a nation's output across time.C. It measures the quality of products over time.D. It is a measure of changes in the level of prices in a country over time.