PLEASE HELP
is this equation an exponential decay of 40% or 30%
y=0.4(0.7)^t

Answers

Answer 1

Answer:

30%

Step-by-step explanation:

The level of decay is determined by the number raised to the power.

y = 0.4(0.7)^t

If you had 1^t, there would be no decay or growth since 1^t is always 1.

Instead, you have 0.7^t

As t increases, 07^t decreases. That is where the decay comes from.

Now look at 0.7

In the general decay equation, you have

y = a(1 - r)^t

r is the rate of decay.

Here we have 0.7

0.7 = 1 - 0.3

the rate of decay is 0.3 or 30%

Answer 2

Answer:

The equation y = 0.4(0.7)^t represents an exponential decay of 30%. The decay rate is determined by the value in the parentheses, which in this case is 0.7. To calculate the decay rate, you can subtract this value from 1, giving you 1 - 0.7 = 0.3, or 30%.

Step-by-step explanation:


Related Questions

please help solve quick

Answers

Answer:

c 1

A F E 2

Step-by-step explanation:

You deposit $1000 in a savings account that earns 5% annual interest compounded yearly.
a. Write an exponential equation to determine when the balance of the account will be $1500
b. Solve the equation.

Answers

Answer:

a. 1500 = 1000 × 1.05^x

b. 1500 = 1000 × 1.05^x

Divide both sides by 1000

1500/1000 = 1.05^x

Take the natural log of both sides

ln(1500/1000) = ln(1.05^x)

ln(1.5) = x ln(1.05)

x = ln(1.5) / ln(1.05)

x = 5.12 years

leirbe the vector with magnitude |vi|l = 89.5 at an angle of 305° from the positive x axis. Find the component form of vector v.
a) v=<-73.3,51.3>
b) v=<73.3,-51.3>
c)v=<-51.3,73.3>
d) v=<51.3,-73.3>

Answers

The required component form of the vector V is given as  v=<51.3,-73.3>. Option D is correct.

What is vector?

Vector is defined as property of object that describes both magnitude and direction of object when in motion is called vector.

here,
|V| = 89.5
and Ф = 305
now,
x component = |V| cos305°
                    = 89.5×cos305° = 51.3

y component =  |V| sin305°

                    = 89.5×sin305° = -73.3

Thus, the required component form of the vector is given as  v=<51.3,-73.3>. Option D is correct.

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The y-intercept of function h(z) = −3(z+13)² - 28 is _____The domain is ________
and the range is______

Answers

The domain and range of the given function are (-∞,∞),{x|x∈R} and (-∞,-28],{y|y≤-28} respectively.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are h(z)=-3(z+13)²-28.

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): None

y-intercept(s): (0,-535)

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (-∞,∞),{x|x∈R}

Range: (-∞,-28],{y|y≤-28}

Therefore, the domain and range of the given function are (-∞,∞),{x|x∈R} and (-∞,-28],{y|y≤-28} respectively.

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What is the other name for factorization method Mcq?

Answers

Answer:

Another name for factorization method Mcq is Doolittle's Method

Step-by-step explanation:

Hope it helps!

Joan has a budget of $90 to make her friends a gift bag. The gift bags are $6 each. The function f(x) = -6x + 90 represents the amount money Joan has left in her budget after purchasing x number of gift bags.

Answers

Therefore , the solution of the given problem of function comes out to  be f(x) =54 .

What are the costs by function?

A mathematical formula known as a cost function is used to visualise how production costs will vary depending on the output level. In other words, given a specific quantity produced, it calculates the total cost of production.

Here,

f(x) =  -6x + 90

=> x =6

=>  f(x) = -6*6 + 90

=> f(x) = -36 + 90

=> f(x) = 54

thus , f(x) = 54 is the correct solution for finding the left amount of money

Therefore , the solution of the given problem of function comes out to  be f(x) =54 .

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Add:
[tex]4 { x }^{ 2 } y+-3x { y }^{ 2 } +-5x { y }^{ 2 } +5 { x }^{ 2 } y[/tex]

Answers

Step-by-step explanation:

[tex]4[/tex]

[tex]4 {x}^{2} - 3x {y}^{2} [/tex]

Solve for y
6x+8y=10

Answers

6x+8y=10
-6x -6x
8y=-6x +10
——————-
8

Y=-6/8x +5/4

Match the notation on the left with the term that best describes it.
1. AB
2.
3.
4.
5.
6.
7.
AB
OC
AC
CD
Point C
Point O
a.
b.
C.
d.
e.
f.
center
chord
diameter
radius
point of tangency
tangent
secant
D
B
You Try
A

Answers

Answer: AB : secant

OC : radius

AC : tangent

CD : chord

Point C : center

Point O : Point of tangency

D B You Try A : Not enough information provided to match the notation.

Step-by-step explanation:

14. Select all the expressions that are
equivalent to 28c-56
A. 7(4c-8)
B. 28(c-2)
C. -2(14c-28)
D. - 7(4c + 8)
E. - 7(8-4c)

Answers

The equivalent expressions are 7(4c - 8), 28(c - 2), - 7(8-4c). Options A, B, E

What are algebraic expressions?

Algebraic expressions are described as expressions that are made up of terms, variables, coefficients, factors and constants.

They are also composed of mathematical operations, such as;

SubtractionMultiplicationDivisionFloor divisionAdditionBracket, etc

Equivalent expressions are those with the same solution but different arrangement of values, we have the expression;

28c-56

Let's factor the terms, we get;

7(4c - 8)

Also,

28(c - 2)

Hence, the expressions are 7(4c - 8), 28(c - 2), - 7(8-4c)

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Can anyone help me to solve this question....

Answers

If Ahmad works at a constant rate, he will take 90 minutes in finishing his exam, and he will finish it at around 1:15 pm.

How long takes Ahmad to answer all the questions?

We know that Ahmad answers at a constant rate, and he takes around 1.5 minutes to answer each answer.

The total time that it will take him to answer the 60 questions is equal to the number of questions times the time that it took him to answer each one, then the total time is:

T = (1.5 min)*60  = 90 minutes

So it will take him an hour and a half.

And e know that the exam starts at 11:45 am

After one hour, it will be:

0:45 pm

And after 30 minutes, it will be:

1:15 pm

Ahmad will finish his exam at 1:15 pm.

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What is the golden rule of algebra?

Answers

Answer: To keep both sides of the equation balanced

Step-by-step explanation:

The Golden Rule states that what you do to one side of an equation, that side being what is on one side of the equal sign, you must do to the other side. This is very important.

Which of the following is a solution of the equation 3x 2y 11?

Answers

The solution of the given equations 3x + 2y = 11 , 2x + 3y = 4 is given by :

option a. ( 5, -2 ).

As given in the question,

Given equations are written as :

3x + 2y = 11 ___(1)

2x + 3y = 4 ___(2)

Solve the given system of equations using the method of elimination we get,

Multiply (1) by 3 and (2) by 2 to eliminate y we have,

9x + 6y = 33

4x + 6y = 8

5x = 25

⇒ x = 5

Substitute the value x in (1) to get the value of y we have,

3(5) + 2y = 11

⇒2y = 11 - 15

⇒y = -4/2

⇒ y = -2

Therefore, the solution of the given equations  is given by :

option a. ( x ,y ) = (5,-2).

The above question is incomplete , the complete question is :

Which of the following is a solution of the equation ?

3x + 2y = 11

2x + 3y = 4.

a. ( 5, -2 )            b. ( 5, 2)          c. ( 2,5)         d. ( -2 ,-5)

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What is an exponential function for 0 3?

Answers

The exponential function cannot be found.

To find an exponential function, f(x)=[tex]a^{x}[/tex], containing the point, set f(x) in the function to the y value 3 of the point, and set x to the x value 0 of the point. 3 = [tex]a^{0}[/tex]

Solve the equation for a.

Let's rewrite the equation,

[tex]a^{0}[/tex] = 3

Anything with 0 in power is 1

1 = 3

As, 1 ≠ 3

There are no solution.

Since there is no real solution, the exponential function cannot be found.

Hence, the exponential function cannot be found.

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Lisa makes $30 for 4 hours of babysitting. Write an equation to represent her earnings, e, relative to the number of hours, h, that she works. Assume the relationship is proportional.

Answers

Answer: e = 7.5*h

Step-by-step explanation: The relationship between Lisa's earnings, e, and the number of hours, h, that she works is proportional. This means that the ratio of e to h is constant. One way to represent this relationship is through an equation of the form:

e = k*h

where k is a constant of proportionality. In this case, we know that Lisa earns $30 for 4 hours of babysitting, so we can use this information to find the value of k:

30 = k*4

k = 30/4 = 7.5

So the equation that represents Lisa's earnings, e, relative to the number of hours, h, that she works is:

e = 7.5*h

Where e is the earnings and h is the number of hours and 7.5 is the constant of proportionality.

Alternatively, you can write the equation as e = 30/4 * h = 7.5 * h

This equation tells us that for every hour that Lisa babysits, she earns $7.5.

Answer:

7.5

Step-by-step explanation:

because I'm smart like that!

Determine whether ABCD is a parallelogram, a rectangle, or neither.
Determina si ABCD es un paralelogramo, un rectángulo o ninguno.
Slope AB = .
Slope BC =
AB = √62
CD = √62
Shape
7
8
8
BC = √73
AD = √73
Slope AB =
Slope BC =
Slope CD= -
314
Slope AD =
Shape
2
WIN
3
2/3
1
5/3
AB= √29
=
= √62 AD = √37
BC= √29 CD

Answers

The area of the preceding parallelograms is equal to 125 cm sq., according to the answer to the given question.

How do parallelograms work?

A simple quadrilateral with different pairs of parallel sides is known as a parallelogram in Euclidean geometry. Each sets of opposite ends are parallel and equal in a particular type of rectangle known as a parallelogram. Parallelograms come in four varieties, three of which are exclusive. The four different shapes are rhombuses, parallelograms, squares, and rectangles. A quadrilateral is a parallelogram if it has two sets of side lengths. In a quadrilateral, the cross-sectional lengths of the opposed angles and angles are equal. The inner angles add additional angles to the horizontal line on the same side. There are 360 internal degrees in all.

Here,

it is:

B = 25 cm

with H = 5 cm.

Parallelograms' surface area is A = B X H = 25 X 5 = 125 cm square.

The area of the preceding parallelograms is equal to 125 cm sq., according to the answer to the given question.

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Which of the relations given by the following sets of ordered pairs is a function?

A. ((-2,5), (7, 5), (4, 0), (3, 1), (0,6))

B. ((1,2), (2, 3), (3,4), (2, 1), (1, 0))

C. ((2-8), (6, 4), (-3, 9), (2, 0), (5, 3))

D. ((1,3), (1, 1), (1, 1), (1,3), (1,5)}

Answers

Answer:

[A] ((-2,5), (7, 5), (4, 0), (3, 1), (0,6))

Step-by-step explanation:

Given:

Which of the relations given by the following sets of ordered pairs is a function?

A. ((-2,5), (7, 5), (4, 0), (3, 1), (0,6))

B. ((1,2), (2, 3), (3,4), (2, 1), (1, 0))

C. ((2-8), (6, 4), (-3, 9), (2, 0), (5, 3))

D. ((1,3), (1, 1), (1, 1), (1,3), (1,5)}

Solve:

Knowing that; In order to know if a set of ordered pairs is a function or not we must see that if every x value have one or more than one y value that a function. If there is more than one same x value then it isn't a function.

Summary:

x value can't be duplicate but y can - in a working function

Hence, based on what we see in the answer choices;

[A] ((-2,5), (7, 5), (4, 0), (3, 1), (0,6)) is a function. Due to none repeat x values.

[B]((1,2), (2, 3), (3,4), (2, 1), (1, 0)) isn't a function. Due to repeat x -values (1 and 2)

[C] ((2-8), (6, 4), (-3, 9), (2, 0), (5, 3)) isn't a function. Due to repeat x-values (2)

[D]  ((1,3), (1, 1), (1, 1), (1,3), (1,5)} isn't a function. Due to repeat x-values (1)

RevyBreeze

Jordyn has two baskets of fruit. Each basket contains 7 apples. . Basket L contains 7 pieces of fruit. . Basket M contains 14 pieces of fruit. Which statement is true? TEKS 7.6H
(A) The probability of randomly selecting an apple from Basket M is 1.
(B) The probability of randomly selecting an apple from Basket L is equal to the probabiiity of randomly selecting an apple from Basket M.
C The probability of randomly selecting an apple from Basket M is greater than the probability of randomly selecting an apple from Basket L.
d) The probability of randomly selecting an apple from Basket M is 0.5.

Answers

The true statement is that C. The probability of randomly selecting an apple from Basket M is greater than the probability of randomly selecting an apple from Basket L.

How to calculate the probability?

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

Basket L contains 7 pieces of fruit. Basket M contains 14 pieces of fruit. The probability of picking from M will be:

= 14/21

= 2/3

The probability of picking from L will be:

= 7/21

= 1/3

The correct option is C.

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How do you get A+ in 7th grade?

Answers

In seventh grade, you received an A+:

1. Immediately after class, go through your notes.

2. Spend the most of your time studying throughout the day.

3. Read ahead rather than catching up.

4. Instruct someone else on the material.

5. Establish a study schedule from the start.

What is grading system?

Grading in education is the practice of assigning standardized grades to students based on their degree of success in a course. Grades can be assigned in the form of letters, a range, a percentage, or a number out of a potential total. Grades are averaged in certain countries to get a grade point average. A 10-point grading scale is commonly used in Indian institutes (though some use a 4-point scale). Your GPA is derived by dividing the entire amount of your grades by the number of credits you took.

Here,

You get A+ in 7th grade:

1. Review your notes from class immediately after.

2. Do the bulk of your studying during the day.

3. Try to read ahead rather than play catch-up.

4. Teach the material to someone else.

5. Create a study schedule from day one.

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What is a table value?

Answers

When numbers are substituted into an equation, they typically produce a set of ordered pairs called a table of values (relation). Each ordered pair of numbers in the values table's table of values is related to one another according to the equation.

In math, what is a value?

Each digit's value varies based on where it is in the number, and this is referred to as the value. We figure it out by multiplying the digit's place value by its face value.

               Value is composed of Place Value and Face Value. Honesty, integrity, benevolence, kindness, courage, and self-assurance are a few examples of values.

What does a table of values example mean?

You can choose two or more points to include in your graph by using a table of data, a graphic organizer or chart. For the equation y= 2x + 1, an example table of values is shown here.

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Willing to give 15 points for help please help me

Answers

Note that the above problems are solved using the knowledge of the sum of angles in a triangle.

10) when computed, x = 13°
11) when computed m∠S = 158°

12) when computed, ∠P = 115.625°; ∠Q = 21.125°; ∠R = 43.25°

13) when computed, angles L, J, K is 52°, 45°, 83° respectively.
14) When computed,

∠b = 108°

∠c = 36°

∠d = 36°

What is the sum of angles in a Triangle?

Note that the Triangles Theorem posits that the sum of Angles in a Triangle = 180°

10) To solve for x, we know that:

the triangle is an Equilateralall the angles are equalAll the angles sum up to 180°one of the angles is given as 8x-44°

Given the above, we can state:

8x-44 = 180/3
8x-44 = 60

8x = 60 +44

x = 104/8

x = 13°

Thus x = 13°

11) For this problem, the key to solving for x is to note that the triangle is isosceles.

This means that,

15x - 31 = 9x + 11

Thus, collecting like terms, we have:

15x-9x = 11+ 31

24x = 42

x = 42/24

Thus,

x = 1.75

Since we are looking for m∠S, we can arrive at this by removing (15x - 31 ) + (9x + 11) from 180° based on the rule of the Sum of Angles in a triangle.
That is:

180 -  (15x - 31 ) + (9x + 11) = m∠S


To do this, we must impute the value of x in to the above equation:
⇒ m∠S = 180 -  ((15 * 1.75) - 31 ) + ((9 * 1.75) + 11)
⇒ m∠S = 180 -  (-4.75) + 26.75
m∠S = 180 -  22; thus

m∠S = 158°

12) <M, <P, <R, recall that the sum of the interior angles of triangle MPR will add up to 180 degrees

so <M + <P + <R = 180

We have ∠P is 14 less than five times x = 5x-15

∠Q is five less than x = x - 5

∠R is nine less than twice x =2x - 9

Recall the angle sum property of the triangle: The sum of all angles of a triangle is 180°

So, 5x -15 + x - 5 + 2x - 9 = 180°

Collect like terms to get

8x - 29 = 180

8x = 180+29

Thus,

x= 26.125

So,∠P  = 5x-15

=5 (26.125) -15

∠P = 115.625°

∠Q =x-5

=26.125 - 5

∠ Q =21.125°

∠R = 2x - 9

=2(26.125)-9

Thus

∠R = 43.25°

To confirm, if the above ∠ sum up to 180°, we say

Check 43.25+21.125+115.625

⇒ 43.25+21.125+115.625 = 180° is TRUE.

13) To solve for ∠J, ∠K  and ∠ L, recall that

The sum of the interior angles of triangle JKL will add up to 180 degrees

so <J + <K + <L = 180

L = measure of angle L

J = measure of angle J = L - 7

K = measure of angle K = 2L - 21

Thus, L + L-7 + 2L - 21 = 180; Collect like terms and we have

4L - 28 = 180

4L = 208

L = 52°,

If L is 52 then

J = L - 7 = 52 - 7

= 45°

K = 2L - 21 = 2(52) - 21

= 83

To check that they all sum up to 180° we say:

52+ 45+83

= 180°


14)

The sum of angle in a triangle is 180 degrees

Hence <b + <c + <d = 180

13x-35 + 5x - 19 + 2x + 14 = 180

13x+5x+2x-35-19+14 = 180

20x-40 = 180

20x = 180 + 40

20 x = 220

x = 220/20

x = 11

Get <b

<b = 13x-35

<b = 13(11) - 35

<b = 143-35

<b = 108 degrees

Get <c

c =5x-19

<c = 5(11)-19

<c = 55-19

<c = 36degrees

Get <d

<d = 2x+14

<d = 2(11) + 14

<d = 22+14

<d = 36 degrees

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Full Question for Number 14:
In ΔBCD if bc =bd angle b = 13x-35 angle c =5x-19 and angled d = 2x+14 find x and the measure of each angle

Please help! Trig!!!!!!!l. Look at the image! And answer the question! Thank u!

Answers

Cosθ and secθ are positive when θ is in the third quadrant while other trigonometric ratios are negative.

what is trigonometric ratios ?

The values of all trigonometric functions depending on the side ratio of a right-angled triangle are known as trigonometric ratios. The ratios of a right-angled triangle's sides to any acute angle are the angle's trigonometric ratios. Trigonometric ratios can be used to calculate the lengths of one (or both) of the acute angles in a right triangle if you know the lengths of two of its sides.

given

sinθ = - 4 / 5

cosθ = 3/5

tanθ = -4/3

secθ = 5/3

cotθ = -3/4

cosecθ  = - 5/4

as Cosθ and secθ are positive when θ is in the third quadrant while other trigonometric ratios are negative.

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Arvin Is training for a race. He wants to bike:
between 35 and 41 miles a week,
• either 3 or 4 days a week, and
the same number of miles each day.
What are two possible ways Arvin can complete his training plan? Enter the answers in the boxes.
Number of
Days Biked
3
Miles Biked
Each Day

Answers

Answer: between eight and ten miles

between six and seven point 5 miles.

8-10 6-7.5

Step-by-step explanation:

Bus 1 leaves Bulawayo at a constant speed of 80mph headed for Harare, 550 miles away. Bus 2 leaves Harare at 8:30AM traveling at 50mph. At what time will the buses pass each other?

Answers

The buses will pass each other at 12:37:30 PM

Calculation of time two buses pass each other.Bus 1 leaves Bulawayo at a constant speed of 80 mph headed for Harare, 550 miles away, Bus 2 leaves Harare at 8:30 AM traveling at 50 mph.

To find the time when the two buses will meet, you need to find the time that Bus 2 will take to travel to the point where the buses will meet, and the time that Bus 1 will take to travel the same distance.

You can find the time that Bus 2 will take to travel to the point where the buses will meet by dividing the distance (550 miles) by the speed of Bus 2 (50 mph), which is 11 hours.

Then you can find the time that Bus 1 will take to travel the same distance by dividing the distance (550 miles) by the speed of Bus 1 (80 mph), which is 6.875 hours (or 6 hours and 52.5 minutes).

Now, you can subtract the time that Bus 2 takes to reach the point of intersection from the time that Bus 1 takes to reach the same point.

6.875 hours (or 6 hours and 52.5 minutes) - 11 hours = -4.125 hours (or -4 hours and 7.5 minutes)

Since Bus 2 leaves Harare at 8:30AM, you can subtract -4.125 hours from 8:30AM to find the time the buses will meet.

8:30AM - -4.125 hours = 12:37:30 PM

So the buses will pass each other at 12:37:30 PM

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to translate an expression from words into a mathematical expression, _______________

Answers

Answer: to sum up

Step-by-step explanation:

What is the factored form of the polynomial f (x) = 8x³ - 60x² +150x - 125?

Answers

Answer:

(2x-5)^3

Step-by-step explanation:

(((8 • (x3)) -  (22•3•5x2)) +  150x) -  125

 ((23x3 -  (22•3•5x2)) +  150x) -  125

3.1    8x3-60x2+150x-125  is not a perfect cube

Factoring:  8x3-60x2+150x-125

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  150x-125

Group 2:  -60x2+8x3

Pull out from each group separately :

Group 1:   (6x-5) • (25)

Group 2:   (2x-15) • (4x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

What is the y-intercept of y 5x 10?

Answers

The y-intercept of y = 5x − 10 is -10.

If we draw the graph of the linear equation y = mx + c. The result is a line with m as the slope, and c as the y-intercept. This form of the linear equation y = mx + c is called the slope-intercept form, and the values of m and c are real numbers.

The slope, m, of the line represents the steepness of a line. This is also termed a gradient, sometimes. The y-intercept, c, represents the y-coordinate of the point where the graph of the line intersects the y-axis.

Now, if we equate the standard slope-intercept form of the equation with the given equation, we get

y = mx + c

y = 5x - 10

m = 5 and c = -10

As we know the c is the y-intercept which is equal to -10.

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Add the following interger ing algebra title/counter. Illutrate your olution uing algebra tile/counter red for poitive counter and black for negative counter. Do thi in your notebook

Answers

This problem can be represented with color counters/tiles. In this case, the red counters represent positive numbers and the black ones represent negative numbers.

One technique to introduce the idea of adding and subtracting numbers is through the use of integer tiles. When working on the kind of issue that many students find more challenging—problems like -4 + -5—this paradigm might be helpful.

One positive counter and one negative counter/tile equal zero because 1+(−1)=0. Draw a line through the counters that equals zero.

The remaining counters represent the answer. Therefore, 4+(−2)=2. The answer is the difference between 4 and 2. The answer takes on the sign of the larger number. In this case, the four has a positive value and it is greater than 2.

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What is the formula of remainder theorem?

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The constant f(a) is the result of dividing a polynomial f(x) by xa, and f(x)=q(x)(xa)+f(a), where q(x) is a polynomial of degree one lower than f(x )'s.

What are polynomials?

Algebraic expressions called polynomials include constants and indeterminates.

Polynomials can be thought of as a type of mathematics.

Nearly all branches of mathematics employ them to express numbers, and calculus is one of those branches where they play a crucial role.

A specific kind of expression is a polynomial.

A mathematical statement without the equals symbol (=) is called an expression. Let's examine the definition and usage of polynomials as they are described below.

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers.

Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

Hence, The constant f(a) is the result of dividing a polynomial f(x) by xa, and f(x)=q(x)(xa)+f(a), where q(x) is a polynomial of degree one lower than f(x )'s.

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The remainder theorem helps us find the remainder when dividing a polynomial by a linear expression, using the formula R = f(a), where a is the root of the linear expression. Using this formula, we can easily calculate the remainder without performing long division.

The remainder theorem is a concept in algebra that helps us find the remainder when we divide a polynomial by a linear expression. The formula for the remainder theorem can be stated as follows:

If we have a polynomial f(x) and we divide it by a linear expression x - a, then the remainder R is given by the formula:

R = f(a)

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Is a dilation with a scale factor of 2 A reduction?

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When the scale factor is between 0 and 1, a dilation is considered a reduction.

How To Find The Scale Factor Of A Dilation?The center point of the dilation is located, and the distances between this center point and various points on the preimage and the image are measured in order to determine the scale factor for the dilation. According to Math Bits Notebook, we can determine the scale factor by dividing these distances by two.Given that each angle is congruent, each segment is proportional, the slope of each segment is preserved, and the perimeter of the preimage and image have the same scale factor, using dilation scale factors allows us to enlarge or reduce a figure to the desired size.

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