Match the following vocabulary words with the correct definition
Coefficient
DRAG & DROP THE ANSWER
Like Terms
Terms that have exactly the same amount of
variable factors
Constant
Equation
A value that makes an algebraic equation true
A term that only has numerical factors and no
variables
Solution
Two algebraic expressions that are equal
If a term has a variable, the numerical factor
before the variable

Match The Following Vocabulary Words With The Correct DefinitionCoefficientDRAG & DROP THE ANSWERLike

Answers

Answer 1

Answer:

Step-by-step explanation:

Coefficient: If a term has a variable, the numerical factor before the variable

Like Terms: A term that only has numerical factors and variables

Constant: Terms that have the exact same amount of variable factors

Equation: Two algebraic expressions that are equal

Solution: A value that makes an algebraic equation true

Answer 2

The correct match is given below:-

Coefficient:- If a term has a variable, the numerical factor is before the variable.

Like Terms:- A term that only has numerical factors and variables.

Constant:- Terms that have the exact same amount of variable factors.

Equation:- Two algebraic expressions that are equal.

Solution:- A value that makes an algebraic equation true.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The appropriate pairing is shown below: -

Coefficient: The numerical factor comes before the variable if a term has one.

Similar Terms: A term with only numerical variables and factors.

Terms with the same number of variables are said to be constants.

Equation: The equality of two algebraic expressions.

A value that makes an algebraic equation true is the answer.

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Related Questions

Mr. Peterson saves $55 each time he gets paid. If Mr. Peterson has saved $220, how many times has he gotten paid?

Answers

Answer:

4

Step-by-step explanation:

220 divided by 55 is 4

Answer:

He’s gotten paid 4 times.

Step-by-step explanation:

All you have to do is divide 220 by 55 and you get the answer! :)

a 2-liter bottle is filled completely with water from a faucet in 10 seconds. how much water is filled in to the bottles each second?

Answers

Answer:

[tex]\dfrac{1}{5}\ L[/tex]

Step-by-step explanation:

It is given that,

A 2-liter bottle is filled completely with water from a faucet in 10 seconds.

We need to find how much water us filled in to the bottles each seconds.

In 10 s = 2 L bottle is filled

In 1 s, [tex]\dfrac{2}{10}\ L=\dfrac{1}{5}\ L[/tex] of water is filled into the bottles.

5x2 + 4x = 3(2 - x)

help me :p

Answers

Answer:

Step-by-step explanation:

5x^2+4x=3(2-x)

5x^2+4x=6-3x

5x^2+4x+3x-6=0

5x^2+7x-6

(5x^2-3x)+(10x-6)

x(5x-3)+2(5x-3)

(5x-3)(x+2)

x=3/5,-2

X=-4/7

Hope this helps, if it does pls give Brainlyest

Which is equivalent to 180x11 after it has been simplified completely?
O 3x10 /5x
O 3x55x
O 6x10,5x
O 6x5/5x

Answers

Answer:

O 6x5/5x

Step-by-step explanation:

Answer:

It should be D. I'm not 100% sure though. But D is what I chose.

x-4y=8 in slope-intercept form

Answers

Answer:

y= 1 over 4 x -2

Step-by-step explanation:

hope you understand that

Answer:

y = [tex]\frac{1}{4}[/tex] x - 2

Step-by-step explanation:

y = mx + b is slope-intercept form of linear equation.

Solve x - 4y = 8 for "y"

- 4y = - x + 8

y = [tex]\frac{1}{4}[/tex] x - 2

What figure will result when the triangle is rotated around RE?

Answers

Answer:

The figure will result is cone ⇒ B

Step-by-step explanation:

When a right triangle is rotated about its vertical leg 360°, then it formed a cone its radius is the horizontal leg of the triangle and its height is the vertical lege of the triangle

In the given figure

∵ Triangle TRE is a right triangle

∴ The horizontal leg is RE

∴ The vertical leg is TR

∵ The triangle is rotated around the horizontal leg RE 360°

∴ It formed a cone its radius = TR and its height = RE

The figure will result is the cone

express 182 as a product of its prime factors​

Answers

Answer:

2x7x13

Step-by-step explanation:

182 =  91 x 2

91 = 13 x 7

During his vacation, Dalyn rents a small boat from a rental service that charges a flat fee of $40 plus $20 per hour (including taxes).
The total charge comes to $120. Which equation can be used to calculate the number of hours, a, that Dalyn rents the boat?

Answers

Answer:

4 hours

Step-by-step explanation:

We can calculate this using the y=mx+c formula

y=total charge

m=per hour

x = (a) no. of hours

c= flat fee

y=20x+40

120=20x+40

We then solve like a normal equation

120-40=20x+40-40

80/20=20x/20

x=a

a=4

∴ Dalyn rents the boat for 4 hours

1. So far, Marta has correctly predicted the winner of 6 out of 13 football games. She wants to know how many consecutive games she would have to predict correctly to raise the percent of correct predictions to 65%. (a) Write an equation to represent this situation. (3 points) (b) Solve the equation. Show all steps. (5 points) (c) Answer the question. How many consecutive games must she predict correctly to raise her percent to 65%? (1 point)

Answers

Answer:

[(6 + x) / 13+x] = 0.65

7

Step-by-step explanation:

Given that:

Total number of games = 13

Number of correct prediction = 6

Number of correct predictions needed to raise prediction % to 65%

(Number of correct predictions) / (total number of games) = 0.65

Let x = number of additional consecutive correct predictions

[(6 + x) / 13+x] = 0.65

Where x = number of consecutive predictions required

6 + x = (13 + x) * 0.65

6 + x = 8.45 + 0.65x

x - 0.65x = 8.45 - 6

0.35x = 2.45

x = 2.45 / 0.35

x = 7

7 consecutive correct predictions

PLEASE URGENT (ALGEBRA)

Find the number of calories in a honeydew and a cantaloupe
(1.) A honeydew has 20 more calories than a cantaloupe
(2.) Six honeydew and 3 cantaloupes have 750 calories

Answers

Answer:

1) A honeydew has 20 more calories than a cantaloupe

learning task 1 identify if the if the given equation is a polynomial equation or not​

Answers

Answer:

In particular, for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

Step-by-step explanation:

Name some examples of scale factors that are less than 1. What effect does a scale factor less than 1 have on the dimensions of the image being scaled?

Answers

Answer:

0.1 0.001 0.0001

Step-by-step explanation:

5)
2x + 8+ = 32
Solve the question

Answers

Answer:

x = 12

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

2x + 8 = 32

Step 2: Solve for x

Subtract 8 on both sides:                        2x = 24Divide 2 on both sides:                            x = 12

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                        2(12) + 8 = 32Multiply:                            24 + 8 = 32Add:                                  32 = 32

HELP 30 Points ANy wrong/bad answers will be deleted by one of my moderator friends.

Answers

Hope this helps?

Please mark my answer as brainliest?

factorise 2x^2 - 9x -5

Answers

Answer:

(x-5)(2x+1)

Step-by-step explanation:

Its called google XD

please help me. solve for X

Answers

Answer:

1. x = 16

2. x = 17

Step-by-step explanation:

1. The sum of the exterior angles of any polygon is 360 degrees. So, to find x, we can add up all of the angle measures and set them equal to 360, then solve for x:

46 + 93 + 47 + 4x + 62 + 3x = 360

Combine like terms:

248 + 7x = 360

Subtract 248 from both sides of the equation to isolate 7x:

7x = 112

Divide both sides by 7 to find the value of x:

x = 16

2. The sum of the interior angles for a 5-sided polygon is 540 degrees. So, to find x, we can add up all of the angle measures and set them equal to 540, and then solve for x:

5x + 139 + 9x + 71 + 92 = 540

Combine like terms:

14x + 302 = 540

Subtract 302 from both sides to isolate the 14x:

14x = 238

Divide both sides by 14 to find the value of x:

x = 17

I hope this helps :)

Square PQRS is transformed as shown on the graph.
Which rule describes the transformation?
Ra 90°
Ro, 180°
O RO, 270
O Ro 360
S

Answers

The rule that describes this transformation is R₀ 270°

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

If a point A(x, y) is rotated clockwise by 270 degrees, the new point is at A'(-y, x)

Quadrilateral PQRS is at P(-3, 5), Q(-1, 3), R(-3, 1) and S(-5, 3). If PQRS is rotated 270 degrees clockwise, the new point is at P'(-5, -3), Q'(-3, -1), R'(-1, -3) and S'(-3, 5)

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Ann, Ben, and Cheryl share some money in the ratio 3:7:10. Ben received £650 more than Ann.
Calculate the total amount of money that they shared.

Answers

Answer:

Total amount  = £ 3250

Step-by-step explanation:

Ann : Ben : Cheryl = 3 : 7 : 10

Money Ann received = 3x

Money Ben received  = 7x

Money Cheryl received  = 10x

Ben received £650 more than Ann.

7x - 3x = 650

     4x = 650

       x = 650/4

x = £ 162.50

Money Ann received = 3x  = 3 *162.50 = £ 487.50

Money Ben received  = 7x   = 7 *162.50 = £ 1137.50

Money Cheryl received  = 10x  = 10* 162.50 = £ 1625

Total amount = 487.50 + 1137.50 + 1625 = £ 3250

                       

what is an eqution for a slope of 2 and a y intercept of 5

Answers

Answer:

y=2x+5

Step-by-step explanation:

Write an equation for the line in the given form.

slope is -5 and (5, 4) is on the line; standard form

Answers

Answer:

5x+y=29

Step-by-step explanation:

You use the information that is given and convert it into point-slope form y-y1=m(x-x1) like so. y-4= -5(x-5). Then you solve for y and you get y= -5x+29 which is slope intercept form (y=mx+b). Then you transform it into Standard form (ax+by=c) so all you do is add 5 on both sides and you get 5x+y=29. Now you have found your solution.

If you can please make my answer the brainliest that would be much appreciated. Thanks!

What is the value of Negative 5 Superscript 6? –15,625 –30 30 15,625

Answers

Answer:

D

Step-by-step explanation:

The value of the expression (-5)⁶ is,  15,625. So option D is correct

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The expression (-5)⁶

In mathematical terms, this means that the expression

⇒ (-5) x (-5) x (-5) x (-5) x (-5) x (-5)

⇒ 15625

So, the value of the expression (-5)⁶ is 15625.

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You have 480 grams of radioactive kind of carbon. How much will be left after 60 minutes if it's half-life is 20 minutes?

Answers

Answer:

60 grams

Step-by-step explanation:

480/8 = 60

need help quick its my GCSE what is 1 +1 if you cant do it its okay LOL

Answers

THE ANSWER IS 2

PLS GIVE BRAINLIEST

Answer:

1 + 1 = 2

Step-by-step explanation:

I don't know why but I have been seeing a lot of questions like this lol

If f(x) = 3x2 - 2 and g(x) = 2x + 4, find (f - g)(x).

Answers

Answer:

(f - g)(x) = 3x² - 2x - 6

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra

Combining like termsStandard Form: ax² + bx + c = 0

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 2

g(x) = 2x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

Substitute:                    (f - g)(x) = 3x² - 2 - (2x + 4)Distribute -1:                 (f - g)(x) = 3x² - 2 - 2x - 4Combine like terms:    (f - g)(x) = 3x² - 2x - 6

A rectangular fence with a positive area has length represented by the expression 3x2+5x-8 and width by 2x2+6x

1. Write expressions in terms of x for the perimeter.
2. Write expressions in terms of x for the area. Give your answers in standard polynomial form and show your work.
3. If the perimeter of the rectangular fence is 16 units, prove, using the quadratic formula, that the solutions to the equation are x=1 and x=-3.2.
4. Using the first solution as x, show work and give the dimensions of the rectangular fence.
5. Using the second solution as x, show work and give the dimensions of the rectangular fence.
6. Explain which dimensions of the fence make sense in the context of the problem.
7. Using the dimensions from #6, what is the area of the rectangular fence?

Answers

Answer:

1. [tex]Perimeter = 10x^2+ 22x - 16[/tex]

2. [tex]Area = 6x^4 +28x^3 + 14x^2 - 48x[/tex]

3. [tex]x = 1[/tex] or [tex]x = -3.2[/tex]

4. [tex]Length = 0[/tex] and [tex]Width = 8[/tex]

5. [tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]

6. Second Solution

7. [tex]Area = 8.6016[/tex]

Step-by-step explanation:

Given

[tex]Length = 3x^2 + 5x - 8[/tex]

[tex]Width = 2x^2 + 6x[/tex]

Solving (1): The perimeter

Perimeter is calculated as thus:

[tex]Perimeter = 2 * (Length + Width)[/tex]

Substitute values for Length and Width

[tex]Perimeter = 2 * (3x^2 + 5x - 8 + 2x^2 + 6x)[/tex]

Collect Like Terms

[tex]Perimeter = 2 * (3x^2+ 2x^2 + 6x + 5x - 8 )[/tex]

[tex]Perimeter = 2 * (5x^2+ 11x - 8 )[/tex]

Open Bracket

[tex]Perimeter = 10x^2+ 22x - 16[/tex]

Solving (2): The Area:

Area is calculated as thus:

[tex]Area = Length * Width[/tex]

Substitute values for Length and Width

[tex]Area = (3x^2 + 5x - 8) * (2x^2 + 6x)[/tex]

Expand Bracket

[tex]Area = 2x^2(3x^2 + 5x - 8) + 6x(3x^2 + 5x - 8)[/tex]

Open Bracket

[tex]Area = 6x^4 + 10x^3 - 16x^2 + 18x^3 + 30x^2 - 48x[/tex]

Collect Like Terms

[tex]Area = 6x^4 + 10x^3 + 18x^3 - 16x^2 + 30x^2 - 48x[/tex]

[tex]Area = 6x^4 +28x^3 + 14x^2 - 48x[/tex]

Solving (3): If perimeter is 16, show that x = 1 and x = -3.2

In (a) [tex]Perimeter = 10x^2+ 22x - 16[/tex]

Substitute 16 for Perimeter

[tex]16 = 10x^2+ 22x - 16[/tex]

Equate to 0

[tex]10x^2+ 22x - 16 -16=0[/tex]

[tex]10x^2+ 22x - 32=0[/tex]

Expand

[tex]10x^2+ 32x -10x- 32=0[/tex]

Factorize

[tex]x(10x + 32) - 1(10x + 32) = 0[/tex]

[tex](x - 1)(10x + 32) = 0[/tex]

Split

[tex]x - 1 =0[/tex] or [tex]10x + 32 = 0[/tex]

[tex]x = 1[/tex] or [tex]10x = -32[/tex]

[tex]x = 1[/tex] or [tex]x = -32/10[/tex]

[tex]x = 1[/tex] or [tex]x = -3.2[/tex]

Solving (4): Using x = 1; Solve the dimension of the rectangle

We have that:

[tex]Length = 3x^2 + 5x - 8[/tex]

[tex]Width = 2x^2 + 6x[/tex]

Substitute 1 for x in the given parameters

[tex]Length = 3(1)^2 + 5(1) - 8[/tex]

[tex]Length = 3*1 + 5*1 - 8[/tex]

[tex]Length = 3 + 5 - 8[/tex]

[tex]Length = 0[/tex]

[tex]Width = 2(1)^2 + 6(1)[/tex]

[tex]Width = 2*1 + 6*1[/tex]

[tex]Width = 2 + 6[/tex]

[tex]Width = 8[/tex]

Solving (5): Using x = -3.2; Solve the dimension of the rectangle

We have that:

[tex]Length = 3x^2 + 5x - 8[/tex]

[tex]Width = 2x^2 + 6x[/tex]

Substitute -3.2 for x in the given parameters

[tex]Length = 3(-3.2)^2 + 5(-3.2) - 8[/tex]

[tex]Length = 3*10.24 + 5(-3.2) - 8[/tex]

[tex]Length = 30.72 -16 - 8[/tex]

[tex]Length = 6.72[/tex]

[tex]Width = 2(-3.2)^2 + 6(-3.2)[/tex]

[tex]Width = 2*10.24 + 6(-3.2)[/tex]

[tex]Width = 20.48 -19.2[/tex]

[tex]Width = 1.28[/tex]

[tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]

Solving (6):

In the first solution of the dimensions in number 4, we have that

[tex]Length = 0[/tex] and [tex]Width = 8[/tex]

This dimension can not be considered because the length of a rectangle can not be 0

In the second solution of the dimensions in number 5, we have that

[tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]

This dimension makes more sense because both dimensions are greater than 0

Solving (7): Using (6), determine the Area

In (6), we conclude that

[tex]Length = 6.72[/tex] and [tex]Width = 1.28[/tex]

So, Area is calculated as thus:

[tex]Area = Length * Width[/tex]

[tex]Area = 6.72 * 1.28[/tex]

[tex]Area = 8.6016[/tex]

Help plss (find the perimeter) thx

Answers

Answer:

64 units

Step-by-step explanation:

divide the shape into two shapes:

first one: 15+15+4+4=38

second shape:7+7+6+6=26

pweimwter for the whole shape: 38+26=64 units

When x = 1/2, what is the value of 8x-3/x ?

Answers

Answer choice G.

1. Plug in 1/2 for x
2. Evaluate with PEMDAS
3. Solve

Please answer this giving brainliest and 20 points. If you say something weird i will make sure you get banned.

Answers

Answer:

C. The value of a is the number that the x-values are multiplied by to get to the corresponding y-values. So, a = 3.

Step-by-step explanation:

Given the points (5, 15) and (-5, -15) are plotted using the equation y = a•x, this shows a proportional relationship between y and x.

Thus using any of the points, say (5, 15), x = 5, and y = 15, thus:

a = y/x = 15/5

a = 3

Therefore, the value of a, which is 3, is the number that the x-values, 5 and -5, are multiplied by to get the corresponding y-values, 15 and -15.

As we can see, if we multiply each of the x-values by 3, it will give us their corresponding y-values.

Classify the following triangle. Check all that apply.

Answers

Acute < 90
Right = 90
Obtuse > 90
This triangle is 104 degree so it is obtuse.

Isosceles = 2 same size
Scalene = no same size
Equilateral = all same size
You can see their is mark on 2 sides so it would be isosceles

Jina and her husband are each starting a saving plan. Jina will initially set aside $650 and then add $135 every month to the savings. The amount A (in dollars) saved this way is given by the function =A+135N650, where N is the number of months she has been saving. Her husband will not set an initial amount aside but will add $585 to the savings every month. The amount B (in dollars) saved using this plan is given by the function =B585N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.

Answers

Step-by-step explanation:

If A=650+135N; and B=585N,

then A+B= 650+135N+585N=650+620N

T=720N+650

A function assigns values to each element. An equation relating T to N can be represented by T=650+720N.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function which tells the amount that is been saved by Jina is given by the function A=650+135N, while the function which tells the amount that will be saved by her husband is B=585N.

Since the total saving amount is represented by T which is the sum of the two functions A and B. Therefore, the function of T can be written as,

[tex]\rm T=A+B\\\\T = (650+135N)+585N\\\\T = 650+135N+585N\\\\T = 650+720N[/tex]

Thus, an equation relating T to N can be represented by T=650+720N.

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Please give me the correct answer Simplify the expression. 13[6^2/(5^2 - 4^2)+9] Noncompensatory stock option plans have all of the following characteristics except:__________ a. participation by substantially all full-time employees who meet limited employment qualifications. b. equal offers of stock to all eligible employees. c. a limited amount of time permitted to exercise the option. d. a provision related to the achievement of certain performance criteria. The scatterplot below shows the relationship between the maximum height in feet, x, of several roller coasters and their top speed in miles per hour, y. Describe the direction, form, and strength, as well as any unusual observations .A) The association between maximum height and top speed is positive, linear, and strong. There are no unusual observations.B)The association between maximum height and top speed is positive , linear, and strong. There is one unusual observation at approximately (170, 150) .C) The association between maximum height and top speed is positive, nonlinear, and strong. There is one unusual observation at approximately (170, 150) .D) The association between maximum height and top speed is positive, linear, and moderate. There are no unusual observations.E) The association between maximum height and top speed is positive, nonlinear, and moderate . There is one unusual observation at approximately (170 , 150) The point (4, 2) is reflected across the x-axis. A coordinate plane. What are its new coordinates? (4, 2) (4, 2) (4, 2) (4, 2) If your body is making new skin cells all the time, why do you sometimes get a scar from a cut?PLEASE HELP ASAPPPPPP!!!! 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