Are 4x, 4y, and 4xy like terms?

Are 4x, 4y, And 4xy Like Terms?

Answers

Answer 1
Answer: yes



Explanation:
Answer 2

In algebra, like terms are terms that have the same combination of variables raised to the same powers. Let's determine whether 4x, 4y, and 4xy are like terms.

The term 4x consists of the variable x raised to the power of 1, while the term 4y contains the variable y raised to the power of 1. Thus, both 4x and 4y have the same combination of variables raised to the same power. Therefore, they can be considered like terms. On the other hand, the term 4xy consists of both the variables x and y, each raised to the power of 1.

Although it includes both x and y, the arrangement of the variables is different from the previous terms. This means that 4xy is not a like term to either 4x or 4y. In conclusion, among the given terms, 4x and 4y are like terms, while 4xy is not. It is important to identify like terms in algebra to simplify expressions and combine similar terms for easier calculations.

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Related Questions

On April 15, 2015, Jorge buys 10 shares of Bling-Bling Inc. stock at a price of $450 per share. The share price of Bling-Bling increases to $600 on July 15, 2015. What is the percentage increase in the value of Jorge’s shares rounded to the nearest percent?
25%
33%
45%
67%

Answers

Answer:

33%  

Step-by-step explanation:

Tell me if I'm wrong. :)  And hope this helps.

Given the formula, y = 3x + 4, enter the value of y in the text box below where the value of x is 0.
y = 3x + 4
(x, y)
-2
0
2
Enter answer

Answers

Answer:

[tex]y = 3x + 4 = 3(0) + 4 = 4[/tex]

(x,y) = (0,4) is the right answer.

The critical points of a rational inequality arex=-4 and x = 2. Which set of points can be tested to find a complete
solution to the inequality?
O x=-4 and x=2
Ox=-5 and x =3
O x=-5, x = 0, and x = 3
O x=-4, X = 0, and x = 2

Answers

Answer:

C on EdgE

Step-by-step explanation:

2020

The required possible set of test points that includes all three intervals is x=-5, x=0, and x=3. Option C is correct.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
The set of points that can be tested to find a complete solution to the rational inequality are x=-5, x=0, and x=3. This is because the critical points divide the number line into four intervals, and one test point in each interval is needed to determine the sign of the rational function in that interval. Since there are three intervals, we need three test points. One possible set of test points that includes all three intervals is x=-5, x=0, and x=3.

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Find L when P= 24 and W = 6.
P = 2L+ 2W (perimeter of a rectangle)
L =

Answers

Answer:

6

Step-by-step explanation:

24 = 2L + 2(6), multiply...

24 = 2L + 12, subtract 12 to both sides...

12 = 2L, divide 2 to both sides to isolate the varibale L

6 = L

Therefroe, L = 6

Find the sum or difference
(4y+3)-(y-2) do help me pls i can't remember how to do these

Answers

(4y+3)-(y-2) = 4y+3-y+2 = 3y+5

Answer:

3y + 1

Step-by-step explanation:

(4y + 3) - (y - 2)

*subtract y from 4y because like terms must be combined*

3y + 3 - 2

*subtract 2 from 3*

3y + 1

True or False: If f(x) = -3x^3 + 2(x + 2), then f(-2) = 24

Answers

Answer:

True

Step-by-step explanation:

When you plug in -2 for the x-values, it should be like this -3(-2)^3 + 2((-2)+2).  When using the method of PEMDAS, you want to do the parentheses/exponents first since it is in order. -2 to the power of 3 is -8 for this case.  Distribute 2 in -2 and 2 to get -4 + 4.  Obviously. they will cancel in which you are left with -3(-8).  Two negatives multiplied together equals a positive, so your final answer should be 24, in this case it is true.

Jason bought 7 new baseball trading cards to add to his collection. The next day half of his collection. There are now only 30 cards left.

Answers

Answer:

8 cards

Step-by-step explanation:

Work Backwards:

30/2 is 15

15-7 is 8.

Hope this helps :D

Answer:

Step-by-step explanation:

Let x be the number of cards Jason had initially in his collection.

"Jason bought 9 new baseball trading cards to add to his collection"

x

+

9

is the equation because  

x

is the initial number of cards he has and he bought another 9

"His dog ate half of his collection"

1

2

(

x

+

9

)

because  

x

+

9

is what he had before his dog ate his cards and since his dog ate half, there is a  

1

2

added to the equation

"42 cards left"

1

2

(

x

+

9

)

=

42

Since his dog ate half, he is left with half of his initial card collection.

x

+

9

=

42

×

2

x

+

9

=

84

x

=

84

9

x

=

75

Algebra 2
L.6 Evaluate polynomials using synthetic division CHC
If g(y) = 6y? + 8y - 9, use synthetic division to find g(1).
Submit

Answers

The answer is: g= 6y+8-9/y

Ellie fills her car with 14.297 gallons of gas. Alivia fills her car with 14.209 gallons of gas.write an inequality statement comparing the two gas purchase.

Answers

14.297 > 14.209. Hope this helps and if you leave a braniest answer simble that would help lots thank you :)

Answer:

Ellie is gas.

Step-by-step explanation:

Inequality statement: Ellie is not equal to gas, yet she is all about gas.

Write a polynomial that represents the area of the square 7n-5, plz help, thank you!

Answers

Answer:

49n² - 70n + 25

Step-by-step explanation:

Area of a square = s²

Where,

s = side length = 7n - 5

Area of the square = (7n - 5)²

= (7n - 5)(7n - 5)

= 7n(7n - 5) -5(7n - 5)

= 49n² - 35n - 35n + 25 (distributive property of equality)

Add like terms

Area = 49n² - 70n + 25

Four movie tickets cost $26. How much do seven movie tickets cost?

Answers

Answer:

45.5

Step-by-step explanation:

- I made this IMPOSSIBLE Question to see who can answer it correctly
(GIVING BRAINLIEST) Reporting trolls ( reports=points loss)

Answers

Answer:

converse 3

contrapositive 1

inverse 2

conditional statement 4

Answer:

i dont know

Step-by-step explanation:

you got me good  just sayian

(pls dont report i beg)

I need help Please. the question in photo

Answers

Answer:

C

Step-by-step explanation:

Since Δ ABC is isosceles , then AB = AC and the base angles are congruent.

∠ ACB = [tex]\frac{180-50}{2}[/tex] = [tex]\frac{130}{2}[/tex] = 65°

∠ ACB and ∠ BCE are adjacent angles and are supplementary, thus

∠ BCE = 180° - 65° = 115° → C

tap on image to see it all.....I really need this answer please​

Answers

Answer:

180-44=136 is d

then 180-136=44 44/2=22

c is 22. just remember total angle above straight line is 180, and the total angle of a triangle is also 180. And if two sides have the same length, their angles are also the same like c and a, and e and 44 degrees

34.65 divided by 1.5

Answers

Answer: 23.1, 231/10, or 23 1/10

Step by step explanation:

33.65/1.5 - divide the terms

23.1

Victor wants to purchase a perpetuity paying 100 per year with the first payment due at the end of year 11. He can purchase it by either: (i) paying 90 per year at the end of each year for 10 years; or i) payıng K per year at the end of each year for the years and nothing for the next 5 years. Calculate K

Answers

Answer:

K = 151.9422481

Step-by-step explanation:

At the end of year 10, your perpetuity is worth 100/i

(1) is worth 90×s_{10%i}

So if you set them equal you get 90*[(1+i)^10 - 1]/i = 100/i or [(1+i)^10 - 1] = 10/9 or (1+i)^10 = 19/9 or i = 0.077583937

So now the question compare (1) to (2), at t = 0

(1) is worth 90×a_{10%i} = 90(1 - 1/(1.077583937)^10)/0.077583937 = 610.5441743

(2) is worth K×a_{5%i} = 4.018264714×K

Therefore K = 151.9422481

The rectangular front windshield of the bus has the length of 1.5√3 m and the width of 1.5 m . The wipers are attached to the bottom corners. If the length of each wiper is equal to the width of the windshield, find the percentage of the windshield that wipers can reach.
(Solve this task without using Trigonometry)​

Answers

See the attached sketch. From their respective corners, each wiper sweeps out a portion of the total area of the windshield equal to the area of a quarter-circle with radius 1.5 m (shaded green), and they overlap in a half-lens-shaped region (shaded red). The area that the wipers together cover is equal to the sum of the green areas minus the area of the red overlap. It's easy to see that this red area is equal to the area of the highlighted circular segment (bordered in blue).

Not sure how exactly you can avoid finding the area of the segment without resorting to trigonometry, though... The radii AC and AD form an angle θ such that the segment has area

1/2 (1.5 m)² (θ - sin(θ))

but you can avoid mentioning the sine function by writing it as

1/2 (1.5 m)² (θ - √3/2)

which follows from

sin(θ) = 2 sin(θ/2) cos(θ/2) = 2 ((BD/2)/AB) ((AC/2)/AB)

and the fact that BD has length equal to the radii, since by the Pythagorean theorem

(AC/2)² + (BD/2)² = AB²

(whether this theorem falls under trigonometry is also up for debate)

You would need trig to find the measure of the angle θ as well, unless you just take for granted the fact that a triangle with side lengths 1.5√3/2, 1.5/2, and 1.5 (i.e. AC/2, BD/2, and AB), since they occur in a ratio of √3 : 1 : 2 is a 30°-60°-90° triangle, so that θ = 60° = π/3 rad.

At any rate, the percentage is about (2×(quarter-circle area) - (segment area))/(rectangle area) = 85.46%, since

• area of rectangle = (1.5 √3 m) • (1.5 m) ≈ 3.897 m²

• area of quarter-circle = π/4 (1.5 m)² ≈ 1.767 m²

• area of segment = 1/2 (1.5 m)² (π/3 - √3/2) ≈ 0.204 m²

Answer:

≈ 85.46%

Step-by-step explanation:

Refer to attached

The area of coverage is the sum of two sectors of 60° and a triangle.

Find each area and calculate the percentage of covered region

Rectangle area:

A = 1.5*1.5√3 = 9√3/4 ≈ 3.8971

Triangle height

h = √1.5² - (1/2*1.5√3)² = √1/4*1.5² = 1.5/2 = 3/4Since h is half of the hypotenuse, the opposite angle is 30°This leaves each sector 60°

Triangle area

A = 1/2*1.5√3*3/4 = 9√3/16 ≈ 0.9742

Sectors' area

A = 2*1/6*πr² = 1/3π(1.5)² = 3π/4 ≈ 2.3561

Area covered by wipers

A = 0.9742 + 2.3561 = 3.3303

Percentage of covered region:

3.3303/ 3.8971*100% ≈ 85.46%

where are my taurus’s At??

Answers

Answer:

im a scorpio but my sister in law is a taurus... :)

Step-by-step explanation:

Answer:

RIGHT HERE

Step-by-step explanation:

Of the volunteers donating blood in a clinic, 30% have the Rhesus (Rh) factor present in their blood. (a) If five volunteers are randomly selected, what is the probability that at least one does not have the Rh factor

Answers

Answer:

0.83193

Step-by-step explanation:

Probability of having the Rhesus (Rh) factor present in their blood; p = 0.3

Sample size; n = 5

We want to find the probability the probability that at least one does not have the Rh factor.

This will be;1 - P(X < 1)

This is a binomial probability distribution. Thus;

P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)

P(X < 1) = P(X = 0)

Thus;

P(X = 0) = C(5, 0) × 0.3^(0) × (1 - 0.3)^(5 - 0)

P(X = 0) = 1 × 1 × 0.16807

P(X = 0) = 0.16807

Thus;

1 - P(X < 1) = 1 - 0.16807 = 0.83193

Integer farthest from 0

Answers

depends on what the stated integers are. need more info

pls help me I don't understand ​

Answers

Answer:

Domain (6, 9) Range (-5, 3)

Step-by-step explanation:

The domain is your x-values while your range is your y-values.  For this particular relation your domain ranges from 6 to 9 given the fact that there are 3 numbers with x-values and your range is from -5 to 3 given the fact that there are 3 numbers with y-values.

Solve and check: ½ (c – 24) + 2/3c = 9

a) c = 18
b) c = 126
c) c = 1 1/6
d) c = 17

Answers

The answer is see you happy new year

You deposit $6000 in an account earning 2% interest compounded monthly How much will you have in the account in 10 years ​

Answers

The amount is $7327.49 and the interest is $1327.49.

Explanation:

STEP 1: To find amount we use formula:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

After plugging the given information we have

Which does not represent two equivalent expressions?
A.) a + b = b + a
B.) 5(x + 3) = 5x + 15
C.) a + (b + c) = (a + b) + c
D.) 6(c + 2)= 6c + 2

Answers

Answer:

Step-by-step explanation:

THE CHOICE D is not equivalent

6(c+2)=6c+12

Keri invests £500 into an account that pays 5.5% compound interest per annum. Work out how much money Keri will have in her account after 16 years.

Answers

Answer:

500×1.055^16=1177.63

the chart shows the hourly wage for the employees at the local newspaper office what is the hourly wage of most of the employees​

Answers

Answer:

In principle, minimum wages can be set for an hour of work, a week of work, or a month of work (see section 1.8 for a review)

HEEYY GUYS CAN U HELP MEE

Answers

Step-by-step explanation:

3-The two lines cannot intersect

is the expression 70-(4 • 15 ) a different three terms product of two times or a difference of two term?

Answers

what was the answer I’m on the same one

Apply the distributive property to factor out the greatest common factor.

25p + 50q =

Answers

Answer:

25(p+2q)

Step-by-step explanation:

The GCF is 25, so factor out 25 and you have 25 (p + 2q)

So, the value of 3 in 2,304 is_
times the value of 3 in 16,135.

Answers

Answer:

10 times

Step-by-step explanation:

The first number is 2,304 and other number is 16,135.

The value of 3 in 2,304 is 300 and the value of 3 in 16,135 is 30.

[tex]\dfrac{\text{The value of 3 in 2,304 }}{\text{The value of 3 in 16,135}}=\dfrac{300}{30}\\\\=10[/tex]

It means that, the value of 3 in 2,304 is 10 times the value of 3 in 16,135.

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