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AfilCa [17]
1 year ago
16

What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?

Mathematics
2 answers:
UNO [17]1 year ago
5 0

Answer:

The sum is a binomial with a degree of 6.

Step-by-step explanation:

So D

svet-max [94.6K]1 year ago
4 0

Answer:

The simplified sum of these polynomials is 3x^4y - 2xy^5

Step-by-step explanation:

In order to find this, we need to remember that we can only add together like terms in this case, there are only two like terms. Both of the first terms end in x^2y^2. So, we add these two together.

3x^2y^2 - 3x^2y^2 = 0

Since they cancel out, we simply just put the other two terms as our answer.

3x^4y - 2xy^5

You might be interested in
The equation y = 1.55x + 110,419 approximates the total cost, in dollars, of raising a child in the united states from birth to
Andru [333]

Answer:

The correct option is A). $112295.05

Step-by-step explanation:

The equation for approximating the total cost is given to be :

y = 1.55x + 110419 , where x is the annual household's income and y is the total cost in dollars of raising a child in the united states from birth to 17 years

We need to calculate the total cost of raising a child in the united states from birth to 17 years if the annual household's income is given to be $1211

So, for this we will use the given equation and substitute x = 1211 and find the value of y which will be our total cost

⇒ Total cost , y = 1.55 × 1211 + 110419

⇒ y = 1877.05 + 110419

⇒ y = 112296.05 ≈ 112295.05

Hence, The approximate total cost of raising a child from birth to 17 years in a household with a weekly income of $1211 = $112295.05

Therefore, The correct option is A). $112295.05

8 0
1 year ago
I talk to an average of 8 customers per hour during an 8 hour shift and need to increase the amount of customers i help by 20%,
lbvjy [14]

Answer:

The number of customer needed to achieve is 34

Step-by-step explanation:

Given as :

The number of customer per hour = 8

The time taken = 8 hours

The rate of increase = 20 %

Let The increase in number of customer after 20 % increment = x

So ,  The number of customer after n hours = initial number × (1+\dfrac{\textrm rate}{100})^{n}

or, The number of customer after 8 hours = 8 ×  (1+\dfrac{\textrm 20}{100})^{8}

or, The number of customer after 8 hours = 8 × 4.2998

∴The number of customer after 8 hours = 34.39 ≈ 34

Hence The number of customer needed to achieve is 34  answer

8 0
2 years ago
Solve for x. 4x−4<8 AND9x+5>23
djyliett [7]
I think the first one is
x<3

And the second one is
x<2
6 0
1 year ago
Read 2 more answers
Suppose that in a survey of 1,000 U.S. residents, 721 residents believed that the amount of violent television programming had i
Art [367]

Answer: 0.813

Step-by-step explanation:

Let A be the event describes the number of residents believed that the amount of violent television programming had increased over the past 10 years.

& B be the event describes the number of residents believed that the amount of violent television programming had decreased over the past 10 years.

Given : n(A)=721   ;  n(B)=454  ;  n(A∩B)=362

We know that ,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

i.e. n(A\cup B)=721+454-362=813

Also, the total number of U.S. residents surveyed n(S)= 1,000

Then, the  proportion of the 1,000 U.S. residents believed that either the amount of violent programming had increased or the overall quality of programming had decreased over the past 10 years will be :-

P(A\cup B)=\dfrac{n(A\cup B)}{n(S)}=\dfrac{813}{1000}=0.813

Hence, the required answer = 0.813

3 0
1 year ago
What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly?  Write your answer rounded to the neare
Butoxors [25]
Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)
7 0
1 year ago
Read 2 more answers
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