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labwork [276]
2 years ago
11

Which of the following are terms in the sum of the given polynomials? 3x2,-2x2y, 2xy2, 4y2, xy2, -y2,2x2y

Mathematics
1 answer:
vampirchik [111]2 years ago
6 0
Create the sum of the given polynomial terms.
f(x,y) = 3x² - 2x²y + 2xy² + 4y² + xy² - y² + 2x²y
        = 3x² + 3xy² + 3y²

Test the given terms to see if they belong in f(x,y).
3:       NO
3x²:   YES
3y²:   YES
3xy²: YES
4x²:   NO

Answer:
The terms in the sum of the given polynomials are 3x², 3y², and 3xy².

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in 2 h, kelly laid new floor tile over 1/5 of the room. when she was joined by annette, the rest of the work was completed in 3h
jeyben [28]

Answer: Annette will take 6 hours to do the entire job alone.

Step-by-step explanation:

Given: Time taken by Kelly to do \dfrac{1}{5} of job = 2 hours

i.e. Time for complete job done alone by Kelly =5\times2=10\ hours

Rest of work = 1-\dfrac{1}{5}=\dfrac{4}{5} of the job

\dfrac{4}{5}  of the complete job done by both Kelly and Annette in 3 hours

Time would be taken by then to do entire job together = 3\times\dfrac{5}{4}=3.75\ hours

Let t be the time taken by Annette to do job alone.

Then, as per situation

\dfrac{1}{3.75}=\dfrac{1}{10}+\dfrac{1}{t}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{3.75}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{4}{15}-\dfrac{1}{10}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{6}\\\\\Rightarrow\ t=6

hence, Annette will take 6 hours to do the entire job alone.

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Holly would have to climb 92 flights of stairs in the fifth week
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The volume of air inside a rubber ball with radius r can be found using the function V(r) = four-thirds pi r cubed. What does V
aleksklad [387]

Answer:

The answer is explained below

Step-by-step explanation:

Given that The volume of air inside a rubber ball with radius r can be found using the function V(r) = \frac{4}{3}\pi r^3, this means that the volume of the air inside the rubber ball is a function of the radius of the rubber ball, that is as the radius of the rubber ball changes, also the volume of the ball changes.

As seen from the function, the radius is directly proportional to the volume of the ball, if the radius increases, the volume also increases.

V(\frac{5}{7} ) is equal to the volume of the ball when the radius of the ball is \frac{5}{7}. Therefore:

V(\frac{5}{7} )=\frac{4}{3} \pi *(\frac{5}{7} )^3=1.53\ unit^3

3 0
2 years ago
Susie heard a traffic report that 495 was jammed. She then decided to find an alternate route home. This is an example of ??? re
sleet_krkn [62]

Answer:

The correct option is;

Deductive

Step-by-step explanation:

Deductive reasoning or logic is the basic reasoning process that begins with a premise, hypothesis or general statement that is taken as being correct or true and continues with the consideration of the likelihoods or possibilities to come to a conclusion which is logically certain

In deductive reasoning a top to down reasoning approach is applied to link a premise with a conclusion.

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