Consider the division of 8y2 - 12y + 4 by 4y.

What are the values of a and b?

=a+b++

O a = 2y and b = 3

O a= { and b = -3y

O a= 2y and b = -3

O a = ? and b = 3y

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Answer 1

By solving the given Algebraic expression, the correct answer is Option (C) ,a = 2y and b = –.

What is an Algebraic Expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

There are different components of an algebraic expression. Let us have a look at the image given below in order to understand the concept of Variables, Constants, Terms, and Coefficients of any algebraic expression.

Assume that  8y2 - 12y + 4  has  terms with a=8y² , b=-12y, c=4

Now, to divide 8y2 - 12y + 4  by the monomial (single term) 4y,

The easy way is divide each term of the dividend by the monomial:

8y2 - 12y + 4  /4y

=(8y²-12y+4)/4y

=(8y²/4y)-(12y/4y)+(4/4y)

=2y-3+1/y

After performing the division we get that now a = 2y and  b = –3

We can conclude that the correct answer is a = 2y and b = –3

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Related Questions

Write (x−3)(x+2)^2 in standard form.

Answers

(x−3)(x+2)^2 in standard form is x^3+x^2-8x-12

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i'll give u a kith pls help

Answers

ANSWER:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(−2,−16)

Equation Form:

x= −2, y= −16

Answer:

21 and 13

Step-by-step explanation:

NEED HELP ASAP!!! GIVING BRAINLIEST

Answers

Answer:

Step-by-step explanation:

2. Which of the following. are solutions to 5.7 + x = -3.5? Choose as many as
apply.
A. -3.5+5.7
B. 3.5-5.7
C. -3.5-(-5.7)
D.-3.5-5.7

Answers

Answer:

option D is correct

5.7+x=-3.5

x= -3.5-5.7

Answer:

D

Step-by-step explanation:

5.7 + x = - 3.5 ( subtract 5.7 from both sides )

x = - 3.5 - 5.7 ( x = - 9.2 )

Solve for x in this triangle. Round your answer to the nearest tenth. 17 х° 6​

Answers

Answer:

x ≈ 70.6°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{17}{6}[/tex] , then

x = [tex]tan^{-1}[/tex] ( [tex]\frac{17}{6}[/tex] ) ≈ 70.6° ( to the nearest tenth )

multiple choice please help emergency

Answers

Answer:

5000 N

Step-by-step explanation:

Given,

Mass ( m ) = 20 kg

Acceleration ( a ) = 250 m/s^2

To find : Force ( F ) = ?

Formula : -

F = ma

F

= 20 x 250

= 5000 N

The curved surface area of a cylinder is one third of its total surface area and the height is 5
cm. Find the diameter.​

Answers

Answer:

Diameter of cylinder = 12 cm

Step-by-step explanation:

Given:

Height of cylinder = 5 cm

Total surface area of cylinder = 3 x [Curved surface area of a cylinder]

Find:

Diameter of cylinder

Computation:

Total surface area of cylinder = 3 x [Curved surface area of a cylinder]

πr²h = 3[2πrh]

πr²h = 6πrh

Radius of cylinder = 6 cm

Diameter of cylinder = 2 x Radius of cylinder

Diameter of cylinder = 2 x 6

Diameter of cylinder = 12 cm

what are the leading coefficient and degree of the polynomial? 3u-5u^6+9u^3.

HELP!

Answers

Answer:

-5, 6

Step-by-step explanation:

Since 6 is the highest power, it is the degree, and so we also take the coefficient of that term.

How to simplify the rational expression

Answers

Answer:

Factor the numerator and denominator and then divide out any common factors.

Step-by-step explanation:

Find m (angle) 1 . Then classify the triangle by its angles.


M (angle) 1 =

Answers

Answer:

60 degrees and an equilateral triangle

Step-by-step explanation:

every triangle adds to 180 degrees

add 60+60=120

180-120=60 to find remaining angle

all angles are the same which makes all sides the same: equilateral

Answer:

1 =60

Step-by-step explanation:

a+b+c=180

60+60+c=180

120+c=180

-120. -120

c=60

In the diagram below of triangle HIJ, K is
the midpoint of H J and L is the midpoint of
IJ. If KL= -3.2 + 39, and
HI = 6x + 18, what is the measure of HI?

Answers

Answer:

HI = 48 units

Step-by-step explanation:

By midpoint theorem,

"Line segment joining midpoints of two sides of a triangle measures the half of the third side of a triangle."

Since, KL is the segment joining midpoints of JH and JI,

[tex]KL = \frac{1}{2}(HI)[/tex]

-3x + 39 = [tex]\frac{1}{2}(6x + 18)[/tex]

-3x + 39 = 3x + 9

6x = 30

x = 5

Therefore, HI =  6x + 18

                      = 6(5) + 18

                      = 30 + 18

                      = 48

Triangle ABC is shown below

Answers

Answer:180 degrees

Step-by-step explanation: add the angles

Simplify using only positive exponents:
(2h^7v^-3)/(5h^-4v^5)^-5

Answers

Therefore the expression simplified using only positive exponents is 10h^4v^22.

Define positive exponents.

An exponent's sign indicates how many times to multiply or divide a base number. A negative exponent indicates the opposite. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.

Define multiply and divide.

A mathematical procedure called multiplication shows how many times a number has been added to itself. The multiplication symbol (x) or (*) are used to denote it. A mathematical process that shows how many equal amounts add up to a given number is called division.

To simplify the expression using only positive exponents, we need to make sure that all the exponents are positive.

We can simplify the expression:

(2h^7v^-3)/(5h^-4v^5)^-5

= (2h^7v^-3)/(1/(5h^-4v^5)^5)

= (2h^7v^-3) * (5h^4v^25)

= 10h^4v^22

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0.25k+1.5−k−3.5 combine like terms

Answers

I think the answer is:
-1.75-k

If the value of the discriminant is 10, then a quadratic equation has...

Answers

Answer:

two distinct solutions

Step-by-step explanation:

will mark brainliest

Answers

Answer:

B

Step-by-step explanation:

We can see that the value of y is ever half of the value of x, so we can write this function

y = x/2

Answer:

B) y = [tex]\frac{X}{2}[/tex]

Step-by-step explanation:

Two sides of a triangle measure 23 inches and 41 inches. Which cannot be the length of the remaining side?

Answers

Answer:

Anything over 64 inches.

Step-by-step explanation:

The Triangle Inequality states that each side of a triangle must be shorter than the sum of the other two sides.

If you call the sides a, b, c, then a + b > c,  a + c > b, b + c > a.

23 + 41 = 64, so the third side must be shorter than 64 inches.

Select the correct answer.
Kathy distributes jelly beans among her friends. Alia gets 42 fewer jelly beans than Kelly, who gets 33 jelly beans. How many jelly beans does Alia get?
A.
42 − 33
B.
33 + 42
C.
4 − 33
D.
33 − 42
E.
32 − 43

Answers

C is the correct answer to this question :)

What is the smallest number with the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24

Answers

The smallest number with the factors 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24 is 232792560.

With the elements 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, what is the smallest number?The smallest number that has all of the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 is 27720. This number is a product of the prime factors 2, 3, 5, 7, 11, 13, 17, 19. All of the factors can be written as a product of these prime factors, and multiplying them all together gives 27720. This is the smallest number that can be created with all of the given factors.The smallest number with the given factors is 2520. This number is the product of all the prime numbers from 1 to 10 (2 x 3 x 5 x 7 x 11 x 13 x 17 x 19 = 2520). It is also the smallest number that can be divided evenly by all the numbers from 1 to 10. This number can also be evenly divided by 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20, so it is the smallest number with the factors 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24.The smallest number with the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 is 2520. It is the smallest number that is evenly divisible by all of these numbers. To find it, the prime factorization of each of the numbers must be used. The prime factorization of each number is the product of the prime factors raised to the highest power.

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solve for x round to the nearest tenth

Answers

Answer:

40

Step-by-step explanation:

A triangle has interior angles that measures 3x, (2x + 15), and (x + 45). What is the measure of the largest exterior angle?

Answers

Pretty sure it’s 125°, could be wrong tho

can someone explain how you would check this equation?

Answers

Step-by-step explanation:

By plugging in the coordinates into your Equations, both y and x to see if they equal each other

Is maths hard or easy?

Answers

Maths can be hard or easy, depending on the level of difficulty and the individual's experience and understanding numbers.

Maths is a subject that can range in difficulty depending on the level of complexity and the individual's experience and knowledge. Some people may find it easy, while others may find it difficult. In the end, it all depends on the level of understanding and the amount of effort put into learning and practicing.

Maths can be hard or easy, depending on the level of difficulty and the individual's experience and understanding numbers

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Answer:

BOTH!

Step-by-step explanation:

See math can be easy or hard. It all depends on YOU. The equation itself isn't hard at all. Mybe a little more work to put in. but its your brain that tells you comething is too challenging or too hard. Now if you are a straight A students and you love math then ofcource your going to be like this is easy!

A line pae through the origin and through point A(−2, b í 14) and B(14 í b, 72). What i the greatet poible value of b?

Answers

The greatest poible value of b is (72-14)/(14-(-2))×(x+2)+14.

What is possible value?

Possible value is the potential for something to have a particular outcome, result, or consequence. It is the amount of beneficial or desirable result that can be achieved, given the available resources. Possible value is often determined by assessing various factors such as cost, risk, and time. It is an important concept in economics, finance, and business, as it helps to identify the most beneficial course of action.

The greatest possible value of b is found by solving the equation of the line through A and B, which is y = (72-14)/(14-(-2))×(x+2)+14.

Setting the y-value to 0 and solving for x gives x = -14, which means b = 14. Therefore, the greatest possible value of b is 14.

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Learning
Diagnostic
Analytics
See your levels
Miss Wu has 535 gold stickers. She wants to give the same number of stickers to each of her
8 students. If she gives away as many stickers as she can, how many stickers will be left
over?
stickers
Submit
rostimonials Contact us rooms of sorton erivacy polley
Please help quick

Answers

Answer:

13

Step-by-step explanation:

If Brian could have bought exactly 12 pairs with the amount of money that was spent on apples and oranges find the cost of each pair incense in terms of x

Answers

Therefore the cost of each pair of incense is 2.4 in terms of x.

Define the unitary method.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

What are ratios and proportions?

An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.

Let x be the cost of one pair of incense.

We know that the total amount spent on apples and oranges is the same as the total cost of 12 pairs of incense. Therefore:

(cost of apples + cost of oranges) = 12x

We also know that the cost of the apples is 3x the cost of the incense, and the cost of the oranges is 2x the cost of the incense. Therefore, we can substitute these values into the equation:

(3x + 2x) = 12x

5x = 12x

x = 12/5 or 2.4

So the cost of each pair of incense is 2.4 in terms of x.

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Part A) based on your answer to answer to part a, are there any values that can be eliminated from the solution set

Answers

The values that can be eliminated from the solution set of the inequality are given as follows:

Values of x ≤ 0.

How to calculate the perimeter of a rectangle?

The perimeter of a rectangle of length l and height h is given by the formula presented as follows:

P = 2(l + h).

The dimensions for this problem are given as follows:

Length l = x + 4.Height h = x.

The perimeter must be less than 120, hence the inequality is given as follows:

2(x + 4 + x) < 120

4x + 8 < 120

4x < 112

x < 28.

However, a side length must assume positive values, meaning that values of x ≤ 0, that is, zero and negative values, are eliminated from the solution.

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How do you tell if a system of equations has no solution or infinitely many?

Answers

If you solve the equation and get the same number as yourself, there are infinite solutions, and if you get the wrong equation, there is no solution.

Without graphing, how can you determine if a system of equations has one solution or an infinite number of solutions?

You can see that both slopes are the same (-3). This shows that the lines are parallel without creating a graph. Therefore, the system of equations cannot be solved.

What distinguishes infinitely many solutions from zero? If the equation is wrong, the system has no solution. If the equation statement is true, there are infinitely many solutions.

A linear algebra problem is a linear system of n equations with n unknown variables. A system may have one solution, no solution, or an infinite number of solutions.

solution - all linear equations intersect or intersect at some point in space

No Solution - System is inconsistent and not all linear equations intersect or intersect.

Infinitely many solutions - some linear equations are the same line in space, some variables are unbounded.

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What is the area of the triangle below (in square units)?

Answers

Answer:

It is 50 cm squared hxb/2=a

Plot the remaining data point. 1
2
, 1 , 1
1
4
, 1
1
4
, 1
3
4
, 3 , 3
3

Answers

The information you gave was presented as a table with three columns: value, x-coordinate, and y-coordinate.

You would need to make a graph with the x-coordinate acting as the horizontal axis and the y-coordinate acting as the vertical axis in order to plot this data point. The size or colour of the data point would serve as a representation of the value.

Here is an illustration of a data point plot:

[tex]x | 12 | 14 | 14 | 34 \\ y | 1 | 1 | 3 | 3 \\ v | 1 | 1 | 3 | 3[/tex]

The value at the position (12,1) will be 1, the value at the point (14,1) will be 1, the value at the point (14,3) will be 3, and the value at the point (34,3) will be 3. It's vital to remember that the values on the graph can be depicted by many colours or shapes.

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