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zysi [14]
3 years ago
13

Which algebraic expression is a polynomial? Which term could be put in the blank to create a fully simplified polynomial written

in standard form? 8x3y2−_____+3xy2−4y3 x2y2 x3y 7xy2 7x0y3
Mathematics
2 answers:
kifflom [539]3 years ago
7 0

Answer:

x^3y and  x^2y^2

Step-by-step explanation:

An algebraic expression is a polynomial if and only if the variables involve have positive integral indices or exponents.

The given polynomial is: 8x^3y^2----------+3xy^2

We want to put one of the following polynomials in the blank space to create a fully simplified polynomial written in standard form.

-4y^3

x^2y^2

x^3y

7x^2y

7x^0y^3

A fully simplified polynomial written in standard form is obtained by writing the simplified polynomial in decreasing order according to degree.

Since the first term of  8x^3y^2----------+3xy^2 having a degree of 5 and the last term is having a degree of 3.

The polynomial that goes into the blank must have a degree of 4.

This eliminates -4y^3, 7x^2y

and 7x^0y^3

We are now left with x^2y^2 and x^3y

The required polynomial is therefore 8x^3y^2-x^2y^2+3xy^2 or8x^3y^2-x^3y+3xy^2

These two polynomials are in standard form and cannot be simplified further.

The correct choices are;

x^3y and  x^2y^2

Diano4ka-milaya [45]3 years ago
3 0

Answer:x2y2

Step-by-step explanation:

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The width of a singles tennis court is 75% of the width of a doubles court. A doubles court Is 36 feet wide. How wide is a singl
yuradex [85]

Answer:

width of a singles court = 27 feet

Step-by-step explanation:

Width of a doubles tennis court = 36 feet

Width of a singles tennis court = 75% of 36

width = 75\% \times 36 \\ width =  \frac{75}{100}  \times 36 \\ width =  \frac{3} {4}  \times 36 \\ width =  \frac{108}{4}  = 27

8 0
3 years ago
Y=x²-4x+6<br> y=x+2<br><br><br> Please help
Ira Lisetskai [31]

Answer:

(1, 3), (2, 4).

Step-by-step explanation:

y= x² - 4x + 6

y = x + 2

Substitute for y in the first equation:

x + 2 = x²- 4x + 6

x^2 - 5x + 4 = 0

(x - 1)(x - 4) = 0

x = 1, 4

When x = 1 , y = 1 + 2 = 3.

When x = 4, y = 4 + 2 = 6.

7 0
2 years ago
Write a two-step equation involving division and addition that has a solution of x=25
zavuch27 [327]
If this is what you mean..?

In order to do this you would work backward from the answer.
You have x = 25 and ant to include and addition. As we are working backwards, we use the opposite operation to addition - subtraction. We'll make it an easy number so we will subtract 15 to get to 10.
So far it looks like 10 = 15 + x
Now, to include  a division, we want to do the opposite again, multiplication. Pick any number to multiply 10 by - for this example we'll choose 7.
7 x 10 = 70
Now we can write out the equation -
70/7 + 15 = x
No brackets are required as Division comes before addition in BIDMAS.


An alternate choice would be to have x the other side of the '='

To do this, multiply x by a number of choice (for example 3) to make the divison section of the equation. This makes 75. This can be written as a fraction. 75/x = 3
Next, for the addition, whatever happens on one side, the exact same happens on the other. Pick any number to add on (e.g. 5) and re-write the equation.
75/x + 5 = 8

Sorry if this doesn't make perfect sense
4 0
3 years ago
1/4+1/2=____<br> Simplest form
LUCKY_DIMON [66]

Hello!

To find our answer, we first convert 1/2 into fourths. We multiply it by 2/2, giving us 2/4.

2/4+1/4=3/4

Therefore, our answer is \boxed {\frac{3}{4}}.

I hope this helps!

8 0
3 years ago
Read 2 more answers
What is x^3=8/27 <br>any help please
r-ruslan [8.4K]
Hope this helps. Good luck

8 0
3 years ago
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