why do terms have to be like terms?

Answers

Answer 1

Answer:

Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. In an expression, only like terms can be combined. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily.


Related Questions

Gene says that -2 is less than -2.25. Is he correct? Explain why or why not.

Answers

Answer:

No

Step-by-step explanation:

-2 is closer to zero than -2.25, which means -2 is greater than -2.25

Answer:

wrong the lower you go the less the nember is.

Plz help me I had to put it was math Bc there is no science option plz help me thank you.

Answers

Answer:

  see the attached

Step-by-step explanation:

To fill in the data table, you need information about the layers of the Earth. That information is provided in the second attachment.

Among other things, it shows the density of the rock layers varies over a range of almost 6 to 1 from the top layer to the inner core. Your representative liquids vary in density over a range of about 1.8 to 1, so clearly cannot match the relative densities.

In the attached spreadsheet, we have used the average of the top and bottom density values for each layer to represent the density of the layer. Then we did a linear mapping so that the minimum density maps to lamp oil, and the maximum density maps to honey. (You get slightly different results if you use a different mapping strategy.)

For your convenience in stacking your "density cylinder", we have shown the relative thickness of each of the layers as a percentage of the overall radius of the Earth. That is, if your cylinder is 100 mL deep, for example, then the top layer will be 0.5 mL deep, the next layer 11.3 mL deep, and so on.

__

We have elected not to use alcohol for the top layer, because it is miscible with all of the liquids immediately below that in the table. That is, you could not maintain alcohol as a separate layer in your cylinder because it would dissolve into the layer below. It might take a little effort (or care) to keep the lamp oil separated from the vegetable oil, as we expect those might try to mix, as well.

If you compare the scaled density values with the values for the "representative" liquids we have chosen, you will see that some are closer than others. The idea is to try to get the best match, while also choosing liquids that don't mix well.

The 199.99 digital camera any purchase was on sale for 15% off what amount did Annie get out the price

Answers

Answer:

The discount is 30

169.99 is the price she will pay

Step-by-step explanation:

First find the discount

199.99 * 15%

199.99 * .15

29.9985

Rounds to 30.00

The discount is 30

199.99 - 30

169.99 is the price she will pay

Answer: About $30 less than the original price

Step-by-step explanation: 199.99x1.15 gives you 229.9885 and when you subtract 199.99 from that you get 29.9985 which is about 30 dollars.

if the area of the rectangle is given by the polynomial 2x-7-15 what is the dimension of the rectangle in terms of x​

Answers

Answer:

2-7x

Step-by-step explanation:

hope i helped gl <3

Help Please ASAP!!!!!

Answers

Answer:

Question 1: >

Question 2: >

Question 3: <

Step-by-step explanation:

Lets start with [tex]\sqrt{83} - 12[/tex]. First you need to find the square root of 83, which is 9.1104. Right after you get the square root of 83 you need to subtract 12 which will give you -2.8895. For the second part of question one (in the image you provided), we will be doing [tex]\sqrt{49} - 10[/tex]. We will start by finding the square root of 49, which is very simple. It's 7. You would then subtract 10 from 7 which gives you -3. And finally for question 1, you have to compare -2.8895 and -3 and determine which number is greater. Which is -2.8895, so you would put >.For the 2nd question, we will start with [tex]2 + \sqrt{7}[/tex]. First, let's get the square root of 7, which is 2.6457. Now we simply add 2! You should now end up with 4.6457. Now for [tex]\sqrt{17} -1[/tex], you need to get the square root of 17, which is 4.1231. Now just simply subtract 1. You should end up with 3.1231. Now just find which number is greater. Which is 4.6457. You should put > as your answer.For the final question, we will start with [tex]15-\sqrt{15}[/tex]. Just start by getting the square root of 15, which is 3.8729. Then simply subtract 15! You should have -11.1270 as your answer. And for [tex]\sqrt{10} + 4[/tex]. Just get the square root of 10 to start which will be 3.1622. Now finally, add 4! You should get 7.1622 as your answer. Now for the final step, find the greatest number, which is 7.1622, you would then answer < for your final question

If you have any questions just ask them below. Thank you!

A 5 pound bag of potatoes costs $3.78. How much would a 3 pound bag cost?

Answers

Answer:

About $2.27

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

$2.27

Step-by-step explanation

First, find the unit price

3.78/5=.756

Then find the cost for 3 pound

.756X3=2.268

Round

$2.27 for 3 pounds

Hope this helped :)

Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix?

Answers

Answer:

$4.80 per lb of trail mix

Step-by-step explanation:

Cranberries- 1lb-$4

Almonds- 4lbs-$20

4+20=24

4+1=5

24/5=4.80

choose the model that verifies the quotient 1/5 ÷ 5​

Answers

Answer:The answer is B.  Think about it this way, You have five rows, ANd ur trying to divide all five rows into 1/5. So you have to  spilt five rows into five sections.. And color in one row because its one out of 5.. ( hope i helped im bad at explaining but hopefully you get what im trying to say) Can i get brainliest pls?

Slope intercept of (-2,2) (0,-2)

Answers

Answer:

-4/2

Step-by-step explanation:

the table shows the number of eggs,y,in x cartons.How many eggs are there in 15 cartons

Answers

Answer:

180 eggs

Step-by-step explanation:12x15=180

What is the slope of this line?
A. −5
B. 5
C. −15
D. 15
Picture Down Below

Answers

Answer:

It seems that the slope of this line is 1/5, yet none of the answers correspond to this. Double-check by finding two points on the line, and use the slope formula: (y2-y1/x2-x1). Also, remember that slope is rise/over run. I hope this can guide you!

Answer: the answer is not included in the options

Step-by-step explanation:

The slope of the line can be depicted by the following formulas: 1. Rise/run 2. Y1-y2/ x1-x2

If we were to use the second formula and “plug” in numbers for the variables, the slope we calculate is less than 1

what is the length,s, of the square?

Answers

Answer: 9

Step-by-step explanation:

9x9=81

Answer:

not a 100% hopefully it right. 20.25m

Step-by-step explanation:

81÷4=20.25

1. Use a calculator to approximate the given value to four decimal places.
sin 52 degrees=____
2. Use the calculator to approximate the given value to four decimal places.
cod 18 degrees=____

Answers

sin52° ≈ 0.7880
cos18° ≈ 0.9511

help please ill give u brainiest if it's correct

Answers

Answer:

Supplementary

Step-by-step explanation:

x^{2}+x-90
can you answer this please and think you.

Answers

If this is just factoring, x^2 + x - 90 turns into this:
(x - 9)(x + 10)


If your trying to solve for x, we take the factored expression and set it equal to 0.
(x - 9)(x + 10) = 0

Set each binomial into two equations.
x - 9 = 0 and x + 10 = 0

Solve for x and we get two answers.
x = 9
x = -10

ANSWER ASAP GIVING 50 PTS (25 each)

Answers

Answer:

The value of k is -2

Step-by-step explanation:

The cut point with the y axis for both graphs occurs when x = 0

We have then:

For f (x):

The cut point with the y axis is:

 

For g (x):

The cut point with the y axis is:

 

Therefore, the value of k is given by the vertical displacement of the graph k units.

We have then:

  From here, let's clear k:

 

Answer:

The value of k is -2

Answer:

-2

Step-by-step explanation:

nice computer btw lol

also it is easier if you just screen shot

Effect
Cause
If it is raining
then it is spring
A. Construct Arguments
Determine whether each effect is
always true for the given cause,
or is not necessarily true for the
given cause. For the effects that
are not necessarily true, how
could you change them to make
them always true?
If x and y are whole numbers
then their difference x -- y is a
whole number
If water is heated
then it boils.
If a triangle has a right angle
then it is a right triangle
If your favorite color is blue
then you are a good speller.

Answers

I wish I could help but u should try looking videos up on Kahn academy

help pleasee im not smart
|-13| = ?

Answers

Answer 13

Explanation: Those lines mean absolute value and it's the numbers's distance from 0 so -13 will be 13, all negative numbers turn positive if its in between those numbers and positive numbers do nothing.

Day 4:
G.CO.5: Quadrilateral PQRS is shown on the coordinate plane.
Part A:
Quadrilateral PQRS is transformed by
translating it right 6 units and then
rotating it 90° clockwise about the
origin. Graph the image of
quadrilateral PQRS after these two
transformations.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Translation right 6 units adds 6 to every x-coordinate. Rotation 90° CW is the transformation (x, y) ⇒ (y, -x). The sequence of transformations gives ...

  (x, y) ⇒ (y, -x-6)

Then the coordinates of the transformed figure are ...

  P(-3, 7) ⇒ P'(7, -3)

  Q(4, 12) ⇒ Q'(12, -10)

  R(4, -2) ⇒ R'(-2, -10)

  S(-3, -7) ⇒ S'(-7, -3)

Find the constant of proportionality and write an equation for the relationship.​

Answers

Answer:

I have no clue but i have an examm sorry

Step-by-step explanation:

2x squared — 11x + 15
factor as a quadratic equation with an explanation please and thank u. will give brainliest

Answers

Answer:

(2x−5)(x−3)

Step-by-step explanation:

Break the expression into two groups

(2[tex]x^{2}[/tex]-5x) + (-6x+15)

Factor out an x from the first group

x(2x-5)

Factor out -3 from the second group

-3(2x-5)

Factor out the common term and combine

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

(2x-5)(x-3)

What is the equation of the line that passes through the point (-2,7) and is perpendicular to the line 2 - 4y = 24?

Answers

Answer:

u usin bodmas ok I hope bodmas help u do we are solve this step by step ok

What is the sum of all the whole numbers from 1 to 1000?

Answers

Answer:

So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.

Step-by-step explanation:

At a basketball game, for every 2 baskets team A scored, team B scored 3 baskets. The ratio of the number of baskets scored by team A to the number of baskets for team B is?

Answers

Answer:

2:3 2 to 3 or 2 over 3

Is this table proportional or non-proportional
X 8,16,24,32
Y 2,4,6,8

Answers

The table is Proportional

if f(1) =160 and f(n+1 )=-2 f(n) what is f(4)

Answers

Move 4 to the left of f :
4f

The dot plots represent the number of students who enrolled each year for the AP psychology course at two schools. The data represents the last 24 years. Which statement is true based on the mean number of students enrolled in the course?

Answers

D

The mean for school 1 is 466/24=19.42 (rounded)

The mean for school 2 is 537/24=22.375

It doesn't ask for the mean absolute deviation, otherwise it would be the reverse of d (which is c).

HOPE IT HELPS (◕‿◕✿) SMILE!!

Answer:

the correct answer is D

Step-by-step explanation:

proportions, assist me please! ​

Answers

Step-by-step explanation:

[tex]w = \frac{1}{2} {x}^{2} y \\ (2)w = \frac{1}{2} {x}^{2} y(2) \\ 2w = {x}^{2} y \\ \frac{2w}{ {x}^{2} } = \frac{{x}^{2} y}{ {x}^{2} } \\ \frac{2w}{ {x}^{2} } = y[/tex]

Answer:

[tex]y = \frac{2x}{ {x}^{2} } \\ [/tex]

Quadratic function f is shown on the graph.

Function f is symmetrical around the point ___ .
A. (6,0)
B. (0,3)
C. (4,-1)
D. (2,0)

This point is the ___ of function f.
A. minimum
B. maximum

Answers

Answer:

(4,-1) Minimum

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function f is symmetric around the point

(4,-1)

. This point is the

minimum

of function f.

Two step equations x−17/3=−3

Answers

Answer:

[tex]\boxed {x = \frac{8}{3}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x - \frac{17}{3} = -3[/tex]

-Add both sides by [tex]\frac{17}{3}[/tex] and convert [tex]-3[/tex] to a fraction [tex]-\frac{9}{3}[/tex]:

[tex]x - \frac{17}{3} + \frac{17}{3} = -3 + \frac{17}{3}[/tex]

[tex]x = -\frac{9}{3} + \frac{17}{3}[/tex]

-Since both [tex]-\frac{9}{3}[/tex] and [tex]\frac{17}{3}[/tex] have the same denominator, then you would add the numerators:

[tex]x = \frac{-9 + 17}{3}[/tex]

[tex]\boxed {x = \frac{8}{3}}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]\frac{8}{3}[/tex].

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