What is meant when we say "like terms" or that we are "combining like terms, and how does this relate to writing expressions in standard form.

Answers

Answer 1

Step-by-step explanation:

We call like terms only when we have some variables parts. For example 3x and 4x are like terms whereas 3x and 4w are not like terms.

The best thing about line terms are they can be combined together that is added, subtracted, multiplied or divided. For instance

3x+4x=7x or 4x-3x=x.

Lets us learn more by taking example containing more than one variable

3x+2y+4x+7−y

=3x+4x+2y−y+7

=(3+4)x+(2−1)y+7

=7x+y+7

​  

So, 3x+2y+4x+7−y in standard form becomes 7x+y+7


Related Questions

Which of the following is a pair of equivalent radical expressions?

A
45−−√and315−−√

B
75−−√and35√

C
54−−√and96√

D
180−−−√and320−−√

Answers

Answer:

correct answer is D i think so

A survey from summer 2019 found that the average American adult spent 2.25 hours a day in front of a computer outside of work, with a standard deviation of 0.75 hours. The survey also found that the population data is most likely normally distributed. a) What portion of adults are in front of a computer for less than 0 hours a day, outside of work? b) Medical professions recommend spending no more than 2 hours in front of a computer each day. What portion of the population is on their computer more than the recommended amount? c)What portion of adults spend between 1 and 5 hours a day in front of a compute reach day, outside of work?

Answers

Answer:

a)0.135%

b) 36.944%

c) 95.209%

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 2.25 hours

σ is the population standard deviation = 0.75 hours

a) What portion of adults are in front of a computer for less than 0 hours a day, outside of work?

x < 0 hours

Hence,

z = 0 - 2.25/0.75

= -3

Probability value from Z-Table:

P(x<0) = 0.0013499

Converting to Percentage

= 0.0013499 × 100

= 0.13499%

= 0.135%

b) Medical professions recommend spending no more than 2 hours in front of a computer each day. What portion of the population is on their computer more than the recommended amount?

No more than 2 hours

x ≤ 2 hours

x < 2 hours

Hence,

z = 2 - 2.25/0.75

= -0.33333

Probability value from Z-Table:

P(x≤ 2) = 0.36944

Converting to Percentage

= 0.36944 × 100

= 36.944%

c)What portion of adults spend between 1 and 5 hours a day in front of a compute reach day, outside of work?

For x = 1 hour

z = 1 - 2.25/0.75

= -1.66667

P-value from Z-Table:

P(x= 1) = 0.04779

z = 5 - 2.25/0.75

= 3.66667

P-value from Z-Table:

P(x = 5) = 0.99988

Hence,

0.99988 - 0.04779

= 0.95209

Converting to Percentage

= 0.95209 × 100

= 95.209%

Find the minimum or maximum of the function below.

f(x) = 6x² - 2

А. minimum of-2
B. maximum of -2
C. minimum of 8
D. maximum of 6


PLEASE ANSWER QUICK ILL HIVE BRAINLYEST

Answers

Answer:

A) minimum of -2

Answer:

A. minimum at x = -2.

Step-by-step explanation:

Finding the derivative:

f'(x) = 12x.

12x = 0 for a maxim/ minimum.

x = 0.

As the second derivative (12) is positive,  we have a minimum value when x = 0.

So the function has a minimum value  where f(x) = 6(0)^2 -2 = -2.

Help, I don’t know how to do this. Can someone please give me the answer

Answers

Answer:

x=45°

Hope this helps

...............................

Ali runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?

Answers

Answer:

4

Step-by-step explanation:

Correct answer: in 44 minutes, he would run 4.8 miles

Can you make a triangle with the lengths 10in, 3in and 10in? If so, is it acute, obtuse or right?

Answers

Yes gufusjehfjdoefycfhddofuufhrks

A survey of 100 high school students provided this
frequency table on how students get to school:

Answers

Answer:7/20 is the answer

Step-by-step explanation:

PLEASE HELP I DONT UNDERSTAND ILL GIVE MORE IF ITS RIGHT

Answers

Answer:

120

Step-by-step explanation:

The prism shown is a triangular prism

The volume of a triangular prism can be found by multiplying the area of the base ( which is a triangle ) by the length of the prism ( which is 10 feet )

First let's find the area of the base.

To find the area of a triangle we use this formula [tex]A=\frac{bh}{2}[/tex]

where b = base length and h = height

The base length is 6ft and the height is 4ft.

Using these dimensions we plug in the values into the formula

[tex]\frac{4*6}{2} \\4*6=24\\\frac{24}{2} =12[/tex]

So the area of the base is 12ft²

Finally to find the volume we multiply the area of the base by the length of the prism

12 * 10 = 120

Hence, the volume of the prism is 120ft³

Which figures can have the same cross section as a sphere?

Answers

Answer:

2

Step-by-step explanation:

the cross section of a sphere is a circle

only the cone can have a circle for a cross section

The figure of cone can have the same cross section as a sphere.

What are similar figures?

Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

When we slice a given object vertically (perpendicular to the ground level), then the sliced surface is called vertical cross section.

Here we can see that the cross section of a sphere is a circle and only the cone can have a circle for a cross section.

So, the answer is option 2.

Learn more about sphere here:

https://brainly.com/question/13250046

#SPJ2

A ball is thrown from the initial height of 3 feet with an initial upward velocity of 29 feet. the ball's height h (in feet) after t seconds is given to determine how long will it take for the ball to hit the ground?

Answers

Answer:

0.64                        

Step-by-step explanation:

Renita is riding her bike to school.it’s takes her 5 minutes to travel half of a mile.how far can renita travel in 10 minutes


Help plzz

Answers

Answer:

20 minutes

Step-by-step explanation:

To go 1 mile it takes her 10 min (5 = 1/2 multiply both sides by 2) and to get to school it would take her 2 miles, so it would take 10 min.

Jan had 6 pet fish Kim had 3 times as many pet fish as Jan then Kim got 2 more how many pet fish does Kim have now.

Answers

Answer:

I think the answer is 20

Step-by-step explanation:

6x3=18+2=20

Answer:

Kim now has 20 pet fish. This is because if you do (6 x 3) since you said Jan had 6 pet fish and Kim had 3 times as many meaning the six times the three. Then, Kim had got 2 more fish meaning she now had 20 fish in total. The (18 + 2).

Step-by-step explanation:

Roughly what percentage of people have IQs between 100 and 115?

Answers

Answer:

68%

In this example, the population mean is 100 and the standard deviation is 15. Based on the 68-95-99.7 Rule, approximately 68% of the individuals in the population have an IQ between 85 and 115.

Step-by-step explanation:

I believe it is about 68%

If a population is ____, a sample of the population could be ______.

A. Ninth-graders at Peak School; All students at Peak School

B. The entire school faculty; math teachers

C. Registered voters; all citizens

D. People who purchased shoes; all customers

Answers

Answer:

c

Step-by-step explanation:

The correct answer would be option (c) such that,

"If a population is The entire school faculty, a sample of the population could be "math teachers"."

We can observe that In options 2 that is subset of  option 1.

In option A, C, D subset clearly can we seen as option 1

and only in option B we can clearly see that 2 is the subset of 1.

Thus, correct answer would be "If a population is The entire school faculty;, a sample of the population could be "math teachers"."

Learn more about sample space here:

brainly.com/question/30206035

#SPJ7

If everyone in the world (about 8 billion people) played a giant game of rock, paper, scissors, how many games would need to be played to determine the world champ?

Answers

Answer:

TOO MANY

Step-by-step explanation:

so if people are playing with 2 people at a time then it would go like this...

it would start with 4 billion v.s. 4 billion.

then it would narrow down to 2 billion v.s. 2 billion.

then it would go down to 1 billion v.s. 1 billion.

then i would go down to 500 million v.s. 500 million.

then it would go down to 250 million v.s. 250 million.

Then it would go down to 125 million v.s. 125 million.

then it would go down to 62,500 v.s 62,500.

then it would go down to 31,250 v.s. 31,250.

then it would go down to 15,625 v.s. 15,625.

then it would go down to 7,812 v.s. 7812.

then it would go down to 3,906 v.s. 3906.

then it would go down to 1,953 v.s. 1953.

then it would go down to 976 v.s. 976.

then it would go down to 488 v.s. 488.

then it would go down to 244 v.s. 244.

then it would go down to 122 v.s. 122.

then it would go down to 61 v.s. 61.

then it would go down to 30 v.s. 30.

then it would go down to 15 vs 15.

then it would go down to 7 vs 7.

then it would go down to 3 vs 3.

then it would go down to 1 vs 1.

so it would take 22 matches if the matches were conducted like tournements.

The value of a piece of property is growing at a rate of 3.5% annually. If the property was worth $125,000 when it was purchased, which equation could be used to determine the value of the property,x , years after it was purchased?

A.Y = 125000(3.5)x B. y = 125000(0.0035)x

C. y = 125000(1.035)x D. y = 125000(0.965)x

Answers

C.) Y = 125000(1.035)x

Step-by-step explanation:

I took the test and got it right

NO LINKS PLEASE thanks:)))

Answers

Answer:

c. it is not a solution to either equation

Step-by-step explanation:

let me know if this is incorrect

Please answer this question for me and remember its witch of the following would NOT contain that point.

Answers

Answer:

Your answer is y=1/2x+8

Un terrain de foot de longueur 120m est représenté par une maquette de longueur 37.5m
Calcule l'echelle

Answers

Answer:

0,31

Step-by-step explanation:

l'échelle = mesure plan/mesure réelle

37,5/120 ≈ 0,31

Using the triangle above, what is the tanX?

12/13

5/13

12/5

5/12

Answers

Answer:

3rd option

Step-by-step explanation:

tan X = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{12}{5}[/tex]

What is the perimeter of the triangle?
21
8
X

Answers

Answer:

Step-by-step explanation:

P=a+b+c

Right scalene triangle.

Sides: a = 21   b = 8   c = 22.472

Area: T = 84

Perimeter: p = 51.472

Semiperimeter: s = 25.736

Angle ∠ A = α = 69.146° = 69°8'44″ = 1.207 rad

Angle ∠ B = β = 20.854° = 20°51'16″ = 0.364 rad

Angle ∠ C = γ = 90° = 1.571 rad

Height: ha = 8

Height: hb = 21

Height: hc = 7.476

Median: ma = 13.2

Median: mb = 21.378

Median: mc = 11.236

Inradius: r = 3.264

Circumradius: R = 11.236

Vertex coordinates: A[22.472; 0] B[0; 0] C[19.624; 7.476]

Centroid: CG[14.032; 2.492]

Coordinates of the circumscribed circle: U[11.236; -0]

Coordinates of the inscribed circle: I[17.736; 3.264]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 110.854° = 110°51'16″ = 1.207 rad

∠ B' = β' = 159.146° = 159°8'44″ = 0.364 rad

∠ C' = γ' = 90° = 1.571 rad

The side lengths of a triangle are 5, 10, and 13. Is this a right triangle?

Answers

Answer:

Step-by-step explanation:

5²+10²=25+100=125

13²=169

so 5²+10²≠13²

so it is not a right angled triangle.

Answer:

no because a right angle has all sides equal

If the angle between a reflected ray and the surface is 65⁰ What is the measure of the angle between the incoming ray and the surface?

Answers

Answer:

65⁰

Step-by-step explanation:

When light comes into contact with a surface, the angle of reflection equals the angle of incidence.

HELPP PLEASE
NO LINK!!

Answers

Answer:

the corect answer for this question is

(4,3-)

Answer:

A

Step-by-step explanation:

the line going horizontal(left to right), is the y line

the line going vertically (up and down), is the x line

now that we know where the x and the y lines are at, now we apply it to the format, (x,y)

where the y and x line meet is the origin (0,0), going left or down make the number a negative. up and right make the number positive  

The function shown is reflected across the y-axis to create a new function. Which is true about the domain and range of each function? Both the domain and range change. Both the range and domain stay the same. O The domain stays the same, but the range changes. O The range stays the same, but the domain changes -5 +-3-2-1, 5 X PTP​

Answers

Answer: D

Step-by-step explanation:

Answer:

B

Both the domain and range change.

Both the range and domain stay the same.

The domain stays the same, but the range changes.

The range stays the same, but the domain changes.

Step-by-step explanation:

How many unit cubes are needed to make this rectangular prism?

Answers

Answer:

D. 40

Step-by-step explanation:

You will use a volume formula for this. The volume of a rectangular prism is:

[tex]V=lwh[/tex]

----------------------------------------------------------------------------------------------------------------

So:

10 × 2 × 2 = 40

-----------------------------------------------------------------------------------------------------------------

Have a good day :)

i’m honestly very confused on how to figure this out

Answers

Answer:

y = -1/2 = -0.500

Step-by-step explanation:

your welcome have a good day :)

stay safe

stay hydrated

wear a mask

┐(^▂ ^ ;)┌

Find the measure of the indicated angle.

Answers

The answer for the angle trying to be found is 45 degrees
45 degree angle have a good day

pleas help due to night​

Answers

Answer:

1,800.96 Square Yards I think? If I'm wrong I'm sorry :(

Step-by-step explanation:

Answer:

Sorry I need the points but the person above me has the right answer. Sorry again.

Select the correct answer.
The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x + 7).
Which statement describes how the graph of h is different from the graph of g?
A. The graph of h is the graph of g horizontally shifted left 7 units.
B. The graph of h is the graph of g vertically shifted up 7 units.
C. The graph of h is the graph of g horizontally shifted right 7 units.
D. The graph of h is the graph of g vertically shifted down 7 units.

Answers

Answer:

A

Step-by-step explanation:

In this question only values of x are changed, so graph is shifted 7 units to the left

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