What is the answer for this question

What Is The Answer For This Question

Answers

Answer 1

The values for the net change and average change is given as-

7. Net change = 2 , Average change = 2/3.

8. Net change = -2, Average change = -1/2.

9. Net change = -4, Average change = 4/5.

10. Net change = 4, Average change = 2/3.

What is defined as the net change and the average change?

Given two points on the graph of f(x), (a,f(a)) and (b,f(b)), the net change would be the contrast between the different f(x) values.

So, net change is estimated by f(b)−f(a).The ratio of the net change to a change between the 2 input values is equal to the average net change and average rate of change. Taking the same two points, the following formula can be used to calculate the average rate of change: [f(b)−f(a)]/(b - a)In other words, the average rate of change is the slope of the line connecting any two points.

Part 7:

The points on x axis are;

a = 1 and b = 4

f(b) = f(4) = 5

f(a) = f(1) = 3

Thus, net change is; f(b)−f(a)

= f(4) - f(1)

= 5 - 3

net change = 2

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(4) - f(1)]/(4 - 1)

net change = 2/3.

Part 8:

The points on x axis are;

a = 1 and b = 5

f(b) = f(5) = 2

f(a) = f(1) = 4

Thus, net change is; f(b)−f(a)

= f(5) - f(1)

= 2 - 4

net change = -2

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(1)]/(5 - 1)

net change = -2/4 = -1/2

Part 9:

The points on x axis are;

a = 0 and b = 5

f(b) = f(5) = 2

f(a) = f(0) = 6

Thus, net change is; f(b)−f(a)

= f(5) - f(0)

= 2 - 6

net change = -4

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(0)]/(0 - 5)

net change = -4/-5 = 4/5

Part 10:

The points on x axis are;

a = -1 and b = 5

f(b) = f(5) = 4

f(a) = f(-1) = 0

Thus, net change is; f(b)−f(a)

= f(5) - f(-1)

= 4 - 0

net change = 4

The average change;

=  [f(b)−f(a)]/(b - a)

= [f(5) - f(-1)]/(5 + 1)

net change = 4/6 = 2/3

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Related Questions

Say you are given the graph of a line y=-x. Write an equation that intersects the given line but is not perpendicular to it. PLEASE ANSWER!!! NEED EXTREME HELP!!!

Answers

Answer:

fdsjfgdndgnxhñgjxgjxgjx

what is this in simplest form 1 3/8 - -7/8)=

Answers

Answer:11

Step-by-step explanation:

BD bisects ZABC. Solve for x and find mABC.
m/ABD = 11x - 10, m/CBD = 8x + 2

Answers

The value of x is 4 and the value of ∠ABC is 68°.

To solve this problem we first have to understand the concept of an angle bisector. Angle bisector is a straight line passes through the vertex of an angle dividing the angle in two equal angles.

According to the condition BD bisects ∠ABC

Therefore the two angles formed by the angle bisector are ∠ABD and ∠CBD.

The angle value of these two angles are equal.

Given:

m∠ABD=11x-10

m∠CBD=8x+2

Therefore from the above condition:

m∠ABD=m∠CBD

Substituting the values we get:

11x-10=8x+2

Solving the linear equation to find the value of x.

[tex]or,11x-10=8x+2\\or,11x-8x=2+10\\or,3x=12\\or,x=4[/tex]

Now let us find the value of ∠ABC

m∠ABC=m∠ABD+m∠CBD

or,∠ABC=11x-10+8x+2

or,∠ABC=19x-8

Substituting the value x=4 in the equation we get:

m∠ABC=19×4-8

or,m∠ABC=68°

Therefore we can conclude that the value of xis 4 and the value of ∠ABC is 68°.

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6. Find the number that can be added to 207 to make the sum divisible by 17.​

Answers

Answer: 14

207+14 = 221

221/17 = 13 (so the sum of 207 and 14 is divisible by 17)

h (x) = -2x-4, find h (2)

This my last one

Answers

Answer: -8

Step-by-step explanation:

-2(2)-4 -> -4-4 = -8

Which of the points a(8, 0, 6), b(9, 6, 2), and c(2, 9, 3) is closest to the yz-plane? which point lies in the xz-plane?

Answers

The point closest to -

the yz-plane is c(2, 9, 3).the xz-plane is  a(8, 0, 6).What is a plane in 3-D?

A plane is a two-dimensional flat surface that can extend indefinitely. A plane would be the two-dimensional equivalent of a point with zero dimensions, a line with one dimension, and three-dimensional space.

The equation is written on a three-dimensional plane is;

         ax+by+cz+d=0,

         where minimum one number out of a, b, and c must be non-zero.

In 3D coordinate space, a plane is defined by a point and a vector perpendicular to the plane.

Now, as per the question;

A point (x, y, zdistance )'s from the yz plane is equal to |x|.

As a result, for small |x|, the point would be closest to the yz plane.

C does have the smallest among A, B, and C that is |x| = 2.

Thus, c point is closest to yz-plane.

If the point is in the xz-plane, after which y equals 0.

Only A has a y value of zero.

As a result, A is in the xz-plane.

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What is the solution to this equation?
5x+15+ 2x = 24 + 4x
O A. x = 13
OB. x = 3
O C. x=39/11
O D. x =9/11​

Answers

Answer:

X=3

Step-by-step explanation:

Remember to get all your variables on one side by doing the "Reverse function" etc...

Once youve got your variables on one side (and only 1 is remaining) you should get rid of whats BESIDE the variable by dividing it by *whatever it is thats beside the variable!* AND REMEMBER TO DO THIS ON BOTH SIDES OF THE EQUATION SO THAT THEYRE EQUAL!!

Which of these is an example of a systematic random sample?
a.) selecting all the students in a class of 30.
b.) selecting 4 balls from a bag containi

Answers

An example of a systematic random sample will be selecting 4 balls from a bag containing. The correct option is B.

What is systematic random sampling?

A probability sampling technique called systematic sampling involves picking people from the population at regular intervals, such as every 15th person on a list of the population. This can mimic the advantages of straightforward random sampling if the population is arranged in random order.

Here we have two options a.) selecting all the students in a class of 30.

b.) Select 4 balls from a bag containing 30 balls.

Out of the two options, a systematic random sample will be Select 4 balls from a bag containing 30 balls.

Therefore, the correct option is B.

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Write each equation in function notation.

y = 12 + 3/4x

Will give Brainliest and 5 star rating. Thank you :)

Answers

Answer:

[tex]f(x) = 12 + \frac34x[/tex]

Step-by-step explanation:

Hello!

Function notation simply means replacing the term y with f(x).

Given the equation: y = 3/4x + 12

f(x) = 3/4x + 12

The equation in function notation is [tex]f(x) = \frac34 x + 12[/tex].

What does f(x) mean?

The meaning of f is just the name of the function. x is the variable being used in the function. Therefore, it can also be written as g(y), s(d), or e(f), as long as the variable inside the parenthesis exists in the equation.

Suppose you see a number in the spot for the variable. In that case, you are replacing the variable in that equation to evaluate when the x-value is that number.

Ex:f(x) = 2xf(1) = 2(1)f(1) = 2

Interpreting this will tell you the value of y when x is 1. The y-value is 2.

Consuelo is buying flavored coffee and plain coffee. the total amount of money she spends on coffee is t = 5.50p + 7f, where p represents the cost of a package of flavored coffee.

Answers

Answer is

(a) She can buy 7 packages of plain coffee or 5 packages of coffee.

(b) f = [tex]\frac{T- 5.50 p}{7}[/tex]

(c) she can buy 3 packages of  flavoured coffee

(a) she spent on coffee is $ 40

amount of money she spends on coffee is 5.50

then, packages of plain coffee = [tex]\frac{40}{5.50}[/tex] ≈ 7.2

      so she buy 7 packages of plain coffee.

she spent on coffee is $ 40  and amount spends on flavoured coffee is 7

then , packages of flavoured coffee = [tex]\frac{40}{7}[/tex] ≈ 5.7

so she can buy 5 packages of flavoured coffee.

(b)According to question ,

T = 5.50 + 7f

so 7f = T - 5.50

then , f = [tex]\frac{T - 5.50}{7}[/tex]

(c) we get the value of f = [tex]\frac{T - 5.50}{7}[/tex]

given that , f is equal to 3

then,  f = [tex]\frac{T - 5.50}{7}[/tex]

           =   [tex]\frac{T - 5.50}{7}[/tex]×3

we get   =  [tex]\frac{T - 16.5}{7}[/tex]

when T is equal to 40

then , f = [tex]\frac{40 - 16.5}{7}[/tex] ≈ 3.35

so she can buy 3 packages of flavoured coffee.

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ugfgvthgrfbuyjhdvyrdhsdgfbythdfgjhmhjilk.l

Answers

Answer:

yo same

Step-by-step explanation:

ur lookin pretty shreksy

Fr that’s honestly kinda how I feel sometimes when I do math. But hey good luck to you and whatever you are doing

Kehlani invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 1.072. What percent simple interest does the account earn per year?

Answers

The percent of simple interest that the account has will be 7.2%.

How to calculate the rate?

From the information, Kehlani invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 1.072.

The percent of simple interest that the account has will be:

= 1.072 - 1

= 0.072

= 7.2%

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An angle measures 26° more than the measure of its complementary angle. What is the
measure of each angle?
and

Answers

Answer:

An angle measures 26° more than the measure of its complementary angle.

Step-by-step explanation:

If a 3ft stick in the ground cast a shadow of 1. 2ft what is the height of a tree that cast a shadow that is 14. 16

Answers

Answer: The height of the tree is 35.4 ft.

Step-by-step explanation:

14.16/1.2 = 11.8

3 * 11.8 = 35.4

What are the units on each side of the equation gmm/x2 = mv2/x? (m and m are two different masses.)

Answers

In the given statement is:

Gravitational Force between two bodies at a distance x is given by:-

F = GmM/ x2 ; If a body of mass ' m' is revolving around the body of mass M and it's orbit is stationary then centrifugal force must be equal to the Gravitational Force i.e. Fg = mv2/x therefore FG = Fg i.e. GmM/ x2 =mv2/x; where v is the orbit motion of the orbiting body of mass.

Now, Let us understand the :

In mechanics, gravity, often known as gravitation, is the constant force of attraction occurring on all matter. It plays no part in shaping the interior features of common stuff because it is easily the weakest force known to exist in nature.

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One car seat is designed for a child up to and including 28 lb. Another car seat is designed for a child between 15 lb and 45 lb. A third car seat is designed for a
child between 28 lb and 90 lb, inclusive. Model those ranges with compound inequalities.
Please help me giving Brainly

Answers

Answer: See explanation

Step-by-step explanation:

f=First car seat. s=Second car seat. t=Third car seat

f<=28

15<s<45     ==> Second car seat can hold between 15 and 45 pounds noninclusive.

28<=t<=90   ==> Third car seat can hold between 28 and 90 pounds inclusive.

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2. how far is the point from the axis of rotation of the second hand?

Answers

The distance of point from the axis of rotation of the second hand is 8.2 cm.

Here,

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.

We have to find the distance of point from the axis of rotation of the second hand.

What is Rotation?

The circular motion of an object around the circle is called Rotation.

Now,

Let us consider the equation for the centripetal acceleration given by;

[tex]a_{c} = \frac{v^{2} }{r}[/tex]

where, v is the velocity and r is the radius.

Now, the velocity can be expressed as;

[tex]v = wr = \frac{2\pi r}{T}[/tex]

where, ω is the angular velocity and T is the period.

Solving for the radius using these equations given as;

[tex]a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm[/tex]

Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.

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an exterior angle of a triangle is 105 degree and one of its interior opposite angle is 35 degree less than the other .calculate the measure of both interior angle

Answers

The value of both the interior angles of the triangle is calculated as 70° and 35°.

What is the exterior angle property?

If a triangle side is formed, the exterior angle made is equal to the sum of a 2 interior opposite angles.

When an equivalent angle is chosen to take at each vertex of the triangle, this same exterior angles always add up to 360°.Each exterior angle equals 180° minus the interior angle. If the relating interior angle is given, this formula can be used. Exterior angle = Sum of opposite angles on the inside. When the exterior angle's distant interior opposite angles are given, this formula can be used to find it.

Now, as per the given question;

The exterior angle of a triangle is 105°.

Let one of the interior angle is 'x'.

Then, the other interior angle is 35 degree less; x - 35°.

By the exterior angle property.

Sum of interior angles = exterior angle

x + x - 35° = 105°

2x = 105° + 35°

2x = 140°

x = 70°

The other interior angle is; x - 35°

= 70° - 35°

= 35°

Therefore, the two interior angles of the triangles are estimated as 70° and 35°.

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The area of a rectangular carpet is given by the quadratic function A(x) = x(x + 30), where A(x) is the area and x is the width of the carpet in feet. What are the restrictions on the domain of the function and its inverse?

Answers

The inverse of the function is; f⁻¹(x) = - 15 ± √(x + 225)

What is the Inverse of the Function?

We have been given a quadratic function f(x) =  x(x + 30) and we need to restrict the domain such that it becomes a one to one function.

Now, the given function can also be written in vertex form as;

f(x) = (x + 15)² - 225

We know that vertex of this quadratic function occurs at (-15, -225).

Further, we know that range of this function is (-225, ∞).

If we restrict the domain of this function to either (-∞, -225) or (-225, ∞) , it will become one to one function.

Let us know find its inverse;

y =  (x + 15)² - 225

Upon interchanging x and y, we get:

x =  (y + 15)² - 225

Solving for y gives;

y = - 15 ± √(x + 225)

Thus, the inverse of the function is;

f⁻¹(x) = - 15 ± √(x + 225)

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Arc XY located on circle A has a length of 40 centimeters. The radius of the circle is 10 centimeters. What is the measure of the corresponding central angle for XY in radians?

Answers

The measure of the corresponding central angle for XY in radians is; 229.1°

What is the angle subtended by the arc?

We know that an arc is a part of the entire perimeter of a circle.

Radian is defined as a unit of plane angular measurement that is equal to the angle subtended by the circle at the center by an arc that is of the length equal to the radius.

We also know that the circle as a whole contains 2π radians. Now, at first we are required to find the perimeter of the circle.

Perimeter of the circle is given by the formula 2πr.

Thus, perimeter of the circle = 2πr = 2π * 10 =20π = 62.851cm

Hence value of arc in radians = 40/62.851 * 2π = 0.636 x 2 π = 1.272π

Radian can be converted to degree by multiplying the radian measure by 180/π

Therefore, angle subtended by arc in degrees =1.272 π * 180 /π =229.1 °

Hence the angle subtended by arc is 229.1°

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Help me, please?????

Answers

Answer: The equation is true

Step-by-step explanation:

Since x=3 and y= 5

Substitute the values for x and y

y=2x-1

5=2(3)-1

5=6-1

5=5

⇒The equation is true

a number divided by 3 and then subtracted by 4 is the same as -10

Answers

Answer:

-18

Step-by-step explanation:

x=???

First, we know that the number we are looking for is divisible by 3. So lets list so numbers that are divisible by 3:

all (+,-) 6,9,12,15,18,........

Second, since we know the answer has to be in the double digits from the list we can have only 3 possibles answers.

12÷3=4
4-4=0

-12÷3=-4
-4-4=-8

So 12 nor -12 cant be the answer

18÷3=6
6-4=2

-18÷3=-6
-6-4=-10

So, the answer to the problem is -18÷3-4=-10

FInd the value of b so that x=2 is a solution to the equation below.

b(2x+6)=30

Answers

Answer:

b = 3

Step-by-step explanation:

We already know that x = 2, so just plug it back into the equation to solve for the variable b.

[tex]b(2(2)+6)=30[/tex]

[tex]b(4+6)=30[/tex]

[tex]10b=30[/tex]

[tex]b=3[/tex]

We can check this by plugging it back in:

[tex]3(2(2)+6)=30[/tex]

[tex]3(10)=30[/tex]

[tex]30=30[/tex]

This is the correct solution :)

2 1/2 x 1/3 x 3 find the sum.

Answers

Answer:

2 1/2 x 1/3 x 3 = 5/2 or 2 1/2

HELP ME PLEASE....I HATE ALGEBRA Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it. (2, 4) (2, 1) (6, 12) (4, -5) (-2, 4) (2, -4) (6, -12) (-4, 5) Quadrilateral ABCD is reflected over the x-axis. arrowRight Quadrilateral ABCD is translated 2 units right and 1 unit down. arrowRight Quadrilateral ABCD is dilated about the origin by a scale factor of 3. arrowRight Quadrilateral ABCD is rotated 180° clockwise about the origin. arrowRight

Answers

Quadilateral ABCD is reflected over the x-axis. ---> (2, -4)

ABCD is translated 2 units right and 1 unit down. ---> (4, -5)

ABCD is dilated about the origin by a scale factor of 3. ---> (6, 12)

ABCD is rotated 180° clockwise about the origin. ---> (-2, 4)

What exactly is a quadrilateral?

Four sides, four vertices, and four angles make up a quadrilateral, which is a two-dimensional shape. Concave and convex are the two most common forms. Additionally, there are numerous subgroups of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombus, and squares.

Which of these seven quadrilateral types are they?

quadrilaterals come in a variety of forms.

Trapezium.

Parallelogram.

Rectangle.

Rhombus.

Square.

Kite.

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testing for within × within and between × within moderation using random intercept cross-lagged panel models

Answers

Testing for within × within and between × within moderation using random intercept cross-lagged panel models "allow measurement decomposition into between- & within components and have thus are becoming famous for testing developmental hypotheses."

What is cross-lagged panel models?

Cross lagged panel design is a form of structural equation model in which data is gathered at a number of points in time. It is primarily used to assess causal relationships (which may be bi-directional) in a non-experimental setting, where variables are not controlled but simply recorded.

According to cross-lagged panel design analysis:

If rX1Y2 is'significantly different' from zero, we can draw the conclusion that X is the cause of Y.If rX2Y1 is significantly distinct from zero, we can deduce that Y is the cause of X.If they are both substantially different from zero, we deduce that X causes Y and Y causes X. If they are both equal, we reach the conclusion that they do not cause each other but instead are both affected by a third variable.

If we understand that X and Y are correlated but with us data shows no conclusive correlation (neither rX1Y2 or rX2Y1 are significantly different from zero), it is possible that our time lag was just too short (or too long) to enable causal influences to operate, and we need to redesign our experiment.

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The irreversible loss of an island from over 100 acres in size to less than 3 acres is an example of?

Answers

The irreversible loss of an island from over 100 acres in size to less than 3 acres is an example of the irreversible nature of human change.

Human activity has lead to the change of Earth's climate in unimaginable ways over the last thousand years. Some of these changes are so significant that they are practically inevitable and irreversible.

Due to global warming, the planet's temperature is increasing gradually every year. This change in climate causes polar ice caps to melt and increases the water level.

Islands, which are pieces of land in between water bodies, are reducing in size due to this. The increased water level submerges some or all parts of an island. This is especially threatening for small islands.

This is not only dangerous for the human and wildlife population of these islands, but also for the general habitability. Due to frequent flooding, soil salinity increases and this makes it difficult to cultivate these islands.

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5. Find the area of each parallelogram. A= square centimeters B= square centimeters C= square units

Answers

4 cm  is the height of the parallelogram.

What in mathematics is a parallelogram?

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

The area is always given by squared units and never by single units!

The area of a parallelogram is given by the equation

A = b * h

             b is the base length of the parallelogram

             h is the height of the parallelogram

And so, plugging in our given values, we get

24cm² = 6 cm . h

h = 24 cm/6cm

h = 4 cm

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The complete question is -

The area of a parallelogram is 24 centimeters and the base of the parallelogram is 6 centimeters. What is the height of the parallelogram?

Classify the angle as acute , obtuse , right , or straight

Answers

Answer:

1. acute

2. right

3. straight

Step-by-step explanation:

1) acute 2) right 3) straight

i need help with this

Answers

The answer will be  : x = -- 3y -- 9

⇒ -2 (x + 3y) = 18

⇒ -(2x + 2 * 3y) = 18

⇒ -(2x + 6y) = 18

⇒ (-2x -6y) + 6y = 18 + 6y

⇒ -2x -6y + 6y = 6y + 18

⇒ -2x = 6y + 18

[tex]\frac{2x}{2} = \frac{-6y + 18}{2}[/tex]

⇒ [tex]x = \frac{-(2*3)y + (2*3)^{2} }{2}[/tex]

⇒ [tex]\frac{-2*3\frac{2*3y}{2*3} + \frac{(2*3)^{2} }{2*3} }{2}[/tex]

⇒ [tex]x = \frac {2*3(y + (3)^{2 - 1}) }{2}[/tex]

⇒ [tex]x = \frac{-2*3(y + 3)}{2}[/tex]

⇒ x = -[3(y + 3)]

⇒ x = (3y + 3*3)

⇒ x = -(3y + 9)

x = - 3y - 9

WORKING NOTES :

-2 (x + 3y) = 18

[We must multiply a term and an expression in order to enlarge this word.

We'll utilize the following product distributive property:

A(B + C) = AB + AC

⇒ -(2x + 2 * 3y) = 18

The final expression, in this case, will have two terms:

The first term is a product of '2' and 'x'

the second term is a product of '2' and '3y'.]

In this term, numerical components have been multiplied.

⇒ -(2x + 6y) = 18

We must group all the variable terms on one side of the equation and all the constant terms on the other in order to solve this linear equation.

⇒ (-2x -6y) + 6y = 18 + 6y

Here, the '-' (minus)  term, -6y will be moved to the right side.

When a term "moves" from one side of the equation to the other, you'll notice that its sign changes.

Parentheses around expressions must be eliminated.

Each term in the expression changes sign if a negative sign is placed in front of it. Otherwise, the expression stays the same.

There is no negative sign in the situation.

⇒ -2x -6y + 6y = 6y + 18

In order to join like terms in this expression, we must first sum all of the numerical coefficients and, if necessary, replicate the literal section.

Nothing in a number suggests a value of 1.

There is just one set of related terms: -6y, 6y.

⇒ -2x = 6y + 18

We must eliminate the coefficient that multiplies the variable in this linear equation in order to isolate it.

If both sides are divided, then the coefficient must be removed (-2)

[tex]\frac{2x}{2} = \frac{-6y + 18}{2}[/tex]

We must simplify this fraction to its simplest form.

To do this, divide the variables that occur in both the numerator and the denominator.

The common factor, in this case, is 2.

⇒ [tex]x = \frac{-(2*3)y + (2*3)^{2} }{2}[/tex]

We must consider the GCF (Greatest Common Factor).

The GCF and the original expression, split by the GCF, provide the final term.

⇒ [tex]\frac{-2*3\frac{2*3y}{2*3} + \frac{(2*3)^{2} }{2*3} }{2}[/tex]

GCF in this case is 2*3.

The fraction [tex]\frac{2*3y}{2*3}[/tex] must be lowered to its simplest form. To do this, divide the variables that occur in both the numerator and the denominator.

Here, the common factor is 2*3.

⇒ [tex]x = \frac {2*3(y + (3)^{2 - 1}) }{2}[/tex]

The expression must be lowered to its simplest form.

Driving out the components that exist in both the numerator and the denominator will accomplish this.

2*3 is a common factor.

⇒ [tex]x = \frac{-2*3(y + 3)}{2}[/tex]

Numerical terms in the factor {y + (3²⁻¹)} is added which makes it (y + 3)

The fraction will then be broken down into its smallest terms next.

To do this, divide the variables that occur in both the numerator and the denominator.

2 is the common factor.

⇒ x = -[3(y + 3)]

⇒ x = -(3y + 3*3)

We must multiply a term and an expression in order to expand this term.

We'll utilize the following product distributive property:

A=AB+AC = A(B + C)

The final expression, in this case, will have two terms:

"3" and "y" are the product in the first term.

The second term is the result of the numbers 3 and 3.

⇒ x = -(3y + 9)

This term's numerical terms have been multiplied by three (3*3 = 9).

⇒ x = - 3y - 9

The parenthesis around expressions must be eliminated.

Each term in the expression changes sign if a negative sign is placed in front of it.

Otherwise, the expression stays the same.

The signs of the following two terms will now change. -(3y + 9) = - 3y - 9

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