All categories

3 years ago

What is the sum of 5x^2y and (2xy^2 + x^2y)

1 answer:

8 0

Recognize that you must combine "like" terms. 5x^2y and x^2y are "like" terms.

Adding them together, you get 6x^2y.

Now add 2xy^2 to 6x^2y. These are NOT "like" terms, so you end up with
6x^2y+2xy^2 as your final answer. This answer is acceptable as is.

However, you could factor out the common factors: 2xy(3x+y).

You might be interested in

Ana has won a lottery. She was offered two options to receive the award: She can either take it in five installments of $60,000

AleksandrR [38]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

She can either take it in five installments of $60,000 annually, starting from now; or she can take a lump-sum of $255,000 now.

First, we determine the value of the 5 installments using a 5% annual compounded rate.

We calculate the future value, and then the present value:

FV= {A*[(1+i)^n-1]}/i

A= annual payments

FV= {60,000*[(1.05^5) - 1]} / 0.05

FV= $331.537.88

PV= FV/(1+i)^n

PV= $259,768.60

At an annual rate of 5% compounded annually, she should choose the five installments instead of the $255,000.

Now, if the annual rate is 6% continuously compounded.

First, we need to calculate the effective interest rate:

r= e^i - 1

r= effective inerest rate

r= e^0.06 - 1

r= 0.0618

FV= {60,000*[(1.0618^5) - 1]} / 0.0618

FV= 339,443.23

PV= 339,443.23/1.0618^5

PV= $251,509.01

At an annual rate of 6% compounded continuously, she should choose the $255,000.

5 0

3 years ago

F(x) = square root x-3

aleksandrvk [35]

I think the answer is c

7 0

3 years ago

In San Diego the average cost of gas is $4.15 per gallon. If a car has a fuel efficiency of 24 miles per gallon and the owner of

KIM [24]

Answer:

$25.94

Step-by-step explanation:

150 ÷ 24 = 6.25

6.25 × 4.15 = 25.9375

25.94

3 0

3 years ago

Please help!!!, write the equation from each line

Len [333]

Answer:

1)-3,-5

2)2,-4

3)-3,-3

4)2,2

5)1,-2

6)3,1

7)8,-3

8)-3,5

5 0

3 years ago

A ratio compares the relative sizes of ______ quantities .

Andre45 [30]

Answer:

two

Step-by-step explanation:

A ratio compares the relative sizes of two quantities .

4 0

3 years ago