In the expression 3x²y + 4x – 5x’y, are the terms 3x’y
and –5x+y like terms? Explain by providing support for
your answer.

Answers

Answer 1

Answer:

Yes. 3x²y and -5x²y are like terms because the variables x and y have the same exponents.


Related Questions

what is the pattern 2 10 40 120

Answers

Answer:

2 plus 3

Step-by-step explanation:

PLEASE HURRY!!!! WILL MARK BRAINLIST!!!!!!d. Using the equation for average rate above, determine the cheetah's average rate for the entire

trip.

Answers

Answer:

Average Rate = 55mph

Step-by-step explanation:

Now it’s time to tackle the original question. Going from point A to point B, the cheetah traveled at an average rate of 70 mph. Returning to point A, the cheetah traveled at an average rate of 40 mph.

Can we say that this cheetah’s average rate was 55 mph?

a.The average rate for the trip is equal to the total distance traveled divided by the total time traveled.

Average Rate = 70+ 40/2= 110/2 = 55mph

Yes the average rate of the cheetah is 55 mph

The following equations represent the distance traveled on each leg of the trip.

First leg of trip: td=r1 t1= 70*t

Second leg of trip: td=r2 t2= 40*t

Write an equation for the average rate for the trip. Remember, the cheetah runs from point A to point B and back to point A.

Total distance = r1 t1+ r2 t2

Average rate = Total distance / total time

                        =  r1 t1+ r2 t2/ t1+ t2

                        =70t+ 40t/ 2t

                         =110t/2t

                          = 55mph

                           

Answer:

the answer is 55 mph

Step-by-step explanation:

Average rate = Total distance / total time

                       =  r1 t1+ r2 t2/ t1+ t2

                       =70t+ 40t/ 2t

                        =110t/2t

5 square root of 2 help please ​

Answers

1.41421

hope this is helpful! XD XD

HELP IM GIVING BRAINLIEST

Answers

I’m most likely sure that d is the answer

On a number line, what is the distance between -1.75 and 2.5 help meerr​

Answers

Answer:

4.25

Step-by-step explanation:

-1.75+x=2.5

x=4.25


If a certain sum of money can become
5 times of its principal in 10 years, then
the rate of interest is​

Answers

So, you are asking at what interest rate will a sum of money double in 10 years.

Question, simple interest or compounded?

Simple interest accumulated on a sum for 10 years will double in 10 years with an interest rate of 10%. Now, if you want it to accumulate five times principle, the interest rate will have to be: P(i)(10)=5P. Modifying the equation, we could get: (i)(10)=5. Alas, (.5)(10)=5. 50% is the rate for simple interest.

However, we started out with an amount, and your question asks at what rate will our original investment increase to five times the original amount. So, our equation must be modified: P(i)(10)= 5(P)-P. So, working the equation, i (10)=5(P)-P/P. 5xP-P= 4(P)/P. To restate, i(10)+P=5P. Also, i(10)=4P. Further, i =4P/10. I = .4, or 40%.

As proof, if a sum earns 4 each year for 10 years, the product is 40. If the investment earns 4 per year, at 40% interest, that investment must be 10. 40+10=50.

Compounding, we will have the following equation: P(1+i)^10=5P. P(i)^10=5.

Modified, 5=1(i)^10. \/5^10= 1.1746. Subtracting 1, results in 17.46% interest rate. (1.1746)^10=4.999. 4.999(1)=~5.

Select all of the zeros of the function f(x)=(3x−4)(x+2).




4


2


43


− 43


− 2


− 4

Answers

Answer:

64784 is the answer of the question here in this article

Step-by-step explanation:

mark me BRAINLIEST

What type of connection can you make between markups and tips or taxes? What type of connection can you make between markdowns and discounts? Explain your answer.

Answers

Answer:

Markdowns are the same as discounts. The type of connection between markdowns and discounts is that they all take a percent off a bill or a check, which can involve subtracting and/or dividing. On the other hand, tips and taxes add money. (this is the same with markups.)

Step-by-step explanation:

XD i used this "explanation" and got it correct, it's basically exactly what that guy said but this version is more elaborate, and won't make your teachers suspect anything...xDDD

The police department of UCR is looking to collect more fines for speeders on campus. (They are turning to speeding because they cannot extract any more money out of people for parking illegally!) They record the speeds on West Campus Drive for a year and find that the average speed is 31.0 miles per hour with a standard deviation of 2.0. The data is approximated by a normal distribution. The top five percent (5%) of speeders will get tickets. What speed must you be going before getting a ticket

Answers

Answer:

≥ 34.29 mph

Step-by-step explanation:

Given that:

Distribution is normal :

Mean(m) = 31 mph

Standard deviation = 2 mph

Speed of top 5%

Top 5% = bottom (100% - 5%) = 95% = 0.95

Zscore which corresponds to 0.95 = 1.645

Using the Z formula:

Zscore = (score - mean) / standard deviation

1.645 = ( score - 31) / 2

Croas multiply:

2 * 1.645 = score - 31

3.29 = score - 31

3.29 + 31 = score

34.29 = score

Hence, speed must be greater than or equal to 34.29 mph

A rectangle has a height of 5 and a width of 4x^2-2x-6.Express the area of the entire rectangle. Expression should be expanded.​

Answers

Answer:

The area of the entire rectangle is [tex]20x^2-10x-30[/tex]

Step-by-step explanation:

Area of a Rectangle

The area of a rectangle of height H and width W is:

A=H.W

The rectangle has a height of H=5 and a width of [tex]W=4x^2-2x-6[/tex]. Calculate the area:

[tex]A=5*(4x^2-2x-6)[/tex]

Expand the product:

[tex]A=20x^2-10x-30[/tex]

The area of the entire rectangle is [tex]20x^2-10x-30[/tex]

A plating company has two silver plating systems with variances σ12 and σ22. You, as the manager, desired to compare the variability in the silver plating done by System-1 with that done by System-2. An independent random sample of size n1= 12 of the System-1 yields s1 = 0.038 mil and sample of size n2= 10 of System-2 yields s2 = 0.042 mil. We need to decide whether σ12= σ22 with α = 0.05. What is the rejection region?

Answers

Answer:

The  rejection region is

       [tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

or     [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

and  

From the value obtained we see that  

[tex] F_{cal} <   F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex]    Hence

    The decision rule

Fail to reject the null hypothesis

The conclusion

This no sufficient evidence to conclude that there is a difference between the two variance

Step-by-step explanation:

From the question we are told that

   The first sample size is  [tex]n_1 =  12[/tex]

   The first sample standard deviation is [tex]s_1 =  0.038 \  mil[/tex]

   The second sample size is  [tex]n_2 =  10[/tex]

   The first sample standard deviation is [tex]s_2 =  0.042 \  mil[/tex]

    The significance level is  [tex]\alpha =0.05[/tex]

The null hypothesis is [tex]H_o : \sigma^2_1  = \sigma^2_2[/tex]

The alternative hypothesis is   [tex]H_o : \sigma^2_1 \ne  \sigma^2_2[/tex]

Generally the test statistics is mathematically represented as

        [tex]F_{cal} =  \frac{s_1^2 }{s_2^2}[/tex]

=>     [tex]F_{cal} =  \frac{ 0.038^2 }{0.042^2}[/tex]

=>     [tex]F_{cal} =  0.81859[/tex]    

Generally the first degree of freedom is  [tex]df_1 =  n_1 -1  =  12-1 = 11[/tex]

Generally the second degree of freedom is  [tex]df_2 =  n_2 -1  =  10 -1 = 9[/tex]

From the F-table the critical  value of  [tex] \frac{\alpha}{2}[/tex] at the degrees of freedom of   [tex]df_1 = 11[/tex]  and   [tex]df_2 =9 [/tex] is  

         [tex]F_{\frac{\alpha }{n} , df_1 , df_2 } =  3.91207[/tex]

The  rejection region is

       [tex]F_{cal} < F_{{1-\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

or     [tex]F_{cal} > F_{{\frac{\alpha}{2}} , df_1 , df_2 }[/tex]

and  

From the value obtained we see that  

[tex] F_{cal} <   F_{\frac{\alpha }{n} , df_1 , df_2 } [/tex]    Hence

    The decision rule

Fail to reject the null hypothesis

The conclusion

This no sufficient evidence to conclude that there is a difference between the two variance

 

What is the value of m ?

Answers

Answer:

20

Step-by-step explanation:

its 20 but i.need to explain so 180-110-40=20

Which equation would you choose in order to most easily identify the vertex?
K
y = 9x4 + 6x2 +1
y = x2 + 6x + 9
y = (x + 6)(x + 9)
y = (x + 6)2 +9
a 5

Answers

Answer:

last

Step-by-step explanation:

50 BRAINLY POINTS PLS HELP

Answers

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

I believe the answer is y = 8x - 3 (Option B)

Hope this helps!! :D

ASTRONOMY-
what would happen if the moon didn't revolve around the earth although its rotation on its axis remained the same.

WIll mark brainliest pls help

Answers

Answer:

I believe this would have a affect on the ocean as the moon controls the waves and i believe it would also affect the wind as well

Step-by-step explanation:

List and describe the characteristics of a wave

Answers

Answer:

Crest = Highest point of the wave.

Trough = Lowest point of the wave.

Wavelength = Distance from one crest/trough to the next (m)

Wave Height = Height from trough to crest (m)

Wave steepness = ratio of wave height to wavelength.

Amplitude = distance from the centre of wave to the bottom of the trough (m)

Step-by-step explanation:

Bob wants to rent a car for one day. He contacted two companies. Enterprise Rentals charges $100 plus $3 per mile. Hertz Rental charge $8 per mile. After how many will the total cost for both companies be the same ?

Answers

Answer:

20 miles.

Step-by-step explanation:

To solve this problem, we will have to set two expressions representative of Enterprise Rentals & Hertz Rental equal to each other.

Let [tex]m[/tex] equal the number of miles.

If Enterprise Rentals charges $100 plus $3 per mile, we can represent this as:

[tex]100+3m[/tex]

If Hertz Rental charges $8 per mile, we can represent this as:

[tex]8m[/tex]

Set the expressions equal to each other:

[tex]8m=100+3m[/tex]

Subtract [tex]3m[/tex] from both sides of the equation:

[tex]5m=100[/tex]

Divide both sides of the equation by the coefficient of [tex]m[/tex], which is [tex]5[/tex]:

[tex]m=20[/tex]

Therefore, after 20 miles, the total cost for both companies will be the same.

_

Check your work by substituting the solved value of [tex]m[/tex] (20), into the initial equation:

[tex]8(20)=100+3(20)[/tex]

[tex]160=100+60[/tex]

[tex]160=160[/tex]

As the total costs are equal to each other, our answer is correct!

Answer:

20 miles

Step-by-step explanation:

160=$3(20)=100

8x20=160

What is the value of y?
B
60°
12
12
ro
60°
А
12 to 60

Answers

answer 60°

solve:180°-(60°+60°)

180°-120°

60°##

Which expression is equivalent to - 3/4 divided (-8/12)

Answers

Answer:

3/4

Step-by-step explanation:

There are no answer choices so I just solved the equation

-3/4 divided by -8/12

Flip -8/12 to -12/8

Multiply -3/4 by -12/8

24/32

Simplify.

12/16

Simplify some more.

6/8

Simplify even more.

3/4

Hope I helped :)

Please consider Brainliest

Solve each problem. Show all your steps
-2 1/2 dived by 1 7/8

Answers

Answer:

1.4

Step-by-step explanation:

Find the slope plus extra pts

Answers

Answer:

The Slope is -4

m = -4

Step-by-step explanation:

Hopefully this Helps! If this wasn't the answer you were looking for please don't hesitate to either comment here or private message me! Have a nice day/night! :))

Use the limit definition to find an equation of a tangent line of f(x)= 1/(x-1) at the given point (2,1)

Answers

By "limit definition", I assume you mean the derivative. We have

[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]

For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]

The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation

y - 1 = - (x - 2)

y = - x + 3

6. Rachel's garden is square in shape. The length of one side of her garden is 52 feet. What is the area of her garden in square feet? Express your answer using exponents.

Answers

Answer:

52^ 2 because this is equal to the area which is 2704 sq ft.  So 52 to the second power is your answer.

Step-by-step explanation:

Adrianna can read 7 pages in 10 minutes. At this rate,
how many pages can she read in 25 minutes?

Answers

Answer:

17.5 page in 25 minutes

Step-by-step explanation:

We can use ratios to solve

7 pages       x pages

-------------  = ----------------

10 minutes    25 minutes

7 * 25  = 10 x

175 = 10x

Divide by 10

175/10 = 10x/10

17.5 =x

17.5 page in 25 minutes

Answer:

17.5 pages

Step-by-step explanation:

What I did was I multiplied 7 by two then separately I divided seven by 2 and it gave me 3.5 so I added 14 and 3.5

In order to receive credit for an English assignment, Alex must reflect on AT LEAST 5 out of 7 passages. In how many ways can this be done?

Answers

Answer:

expressionism I just took that test trust you got a workout and English and I'm miss that I hope we close at Johnny's and I'm miss that I hope we close again for the one that was a big deal for me to hit the road and I'm miss that I hope we close again for the one time of day or so he can come over for a lol you want to text cause I'm miss that I hope we close again for the one that was a if he can come over for a lol you want to text Leo and I'm miss that I hope we close again for the one that 5th to text cause I'm miss that I hope.

I think it’s 35 ways

Because everyone is always driving above the speed limit, the police implement a new policy: ticket anyone who drives 1.5 standard deviations above the average. At a major freeway, the average speed in the evening is 75 MPH. The standard deviation is 7 MPH. Michael finds himself driving at 84 MPH during an evening on this freeway. At a major street, the average speed is 43 MPH. The standard deviation is 4 MPH. Nico finds himself driving at 50 MPH. Use the information above to determine who will get a speeding ticket?

Answers

Answer:

Michael is within the speed limit regulation he won´t get any ticket

Nico is over speed limit then he should be ticket

Step-by-step explanation:

Case A conditions in a freeway evening  average speed 75 MPH the

standard deviation is 7 MPH

Then according to new policy 75 + 7* ( 1,5 )  = 75 + 10,5 = 85,5 MPH

Michael is driving at 84 MPH then he has no problem at all

Case B conditions in a major street average speed 43 MPH the standard deviation is 4 MPH

According to the new policy 43 + 4 *(1,5) = 43 + 6 = 49 MPH

Nico is driving at 50 MPH then Nico will be ticket

Order from least to greatest.

0.67, 0.5, 3/5


Answers

Answer:

0.5, 0.6(3/5), 0.67

Select the correct answer to 35 2/7 x 5:
1. 174
2. 176 3/7
3. 175 5/7
4. 174 5/7

Answers

Answer:

2

Step-by-step explanation:

I can't exactly explain my thinking but I estimates and the closet i got was answer 2 hoped this helped

how many solutions does this equation have? 2x+7=2x​

Answers

Answer:

no solution

Step-by-step explanation:

Yes there is no solution because the 2x on both sides get canceled out

Rewrite each equation in​ slope-intercept form, if necessary. Then determine whether the lines are perpendicular. x = 9 y = -1 Are the lines​ perpendicular?

Answers

Answer:

[tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.

Step-by-step explanation:

From Analytical Geometry we know that horizontal lines are of the form:

[tex]y = a[/tex], [tex]\forall \,a\in\mathbb{R}[/tex] (Eq. 1)

Where:

[tex]y[/tex] - Dependent variable, dimensionless.

Which means that for all value of [tex]x[/tex] (independent variable) has [tex]a[/tex] as their image. If we write this equation in slope-intercept form, we get that:

[tex]y = 0\cdot x + a[/tex] (Eq. 1b)

Where slope is the ratio of the change in dependent variable to the change in independent variable.

Whereas vertical lines have the following one:

[tex]x = b[/tex], [tex]\forall \,b\in\mathbb{R}[/tex] (Eq. 2)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

Which means that for all value of [tex]y[/tex] (dependent variable) has [tex]b[/tex] as their image.

If we write this equation in slope-intercept form, we get that:

[tex]x = 0\cdot y + a[/tex] (Eq. 2b)

Where slope is the ratio of the change in independent variable to the change in independent variable.

In addition, we must remember that two lines perpendicular to each other observe the following relation:

[tex]m_{A} = -\frac{1}{m_{B}}[/tex] (Eq. 3)

Where [tex]m_{A}[/tex] and [tex]m_{B}[/tex] are the slopes of each line. It is quite evident that if [tex]m_{A} = 0[/tex], corresponding to a horizontal line, then [tex]m_{B}[/tex] becomes undefined, corresponding to a vertical line.

In consequence, we come to the conclusion that [tex]x = 9[/tex] and [tex]y = -1[/tex] are perpendicular to each other.

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