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2 years ago

Simplify: (3x^2 – 5xy + 2y^2)-(7x^2 – 3xy - 3^2)

Mathematics

1 answer:

AysviL [449]2 years ago

3 0

Answer:

-4x^2 – 2xy + 2y^2 + 9

Step-by-step explanation:

First, perform the indicated multiplications: Multiply each 7x^2, -3xy and -3^2 by -1:

If this is done properly, we get: -7x^2 + 3xy + 9

Now rewrite (3x^2 – 5xy + 2y^2)-(7x^2 – 3xy - 3^2) as

3x^2 – 5xy + 2y^2 - 7x^2 + 3xy + 9)

Combining the x^2 terms, we get:

-4x^2 – 5xy + 2y^2 + 3xy + 9.

Combining the xy terms, we get:

-4x^2 – 2xy + 2y^2 + 9

This is the final answer (sum), since none of these four terms can be combined.

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Classify each polynomial by degree and number of terms. 1. Quartic monomial v 5x? - 7x + 9 2. Cubic binomial 2x3 + 3 < 3. Qua

ElenaW [278]

The degree of a polynomial is categorized by its highest power of its leading variable.

<h3>Degree and number of terms of a polynomial</h3>

Given the following polynomial functions, we are to classify them based on their degrees and the number of terms

For the polynomial function 5x^4 - 7x + 9

The degree is 4 being quartic and there are three terms in the expression

For the polynomial 2x3 + 3 < 3, the degree is 3 (cubic) with three terms in the expression.

For a Quintic quadnomial, the degree of the polynomial is 5.

Learn more on polynomials here: brainly.com/question/4142886

4 0

1 year ago

21x^5y^4-18x^7y^3+15x^2y^5

soldi70 [24.7K]

Do you want us to answer or simplify?

Simplify:=−18x^7 y^3 + 21x^5 y^4+ 15x^2 y^5

5 0

2 years ago

You are a young entrepreneur who ventures into selling milk tea. On the soft opening day, you sold all 50 glasses of classic and

shutvik [7]

Answer:

35 glasses of classic milk tea

15 glasses of flavored milk tea

Step-by-step explanation:

You sold 50 glasses of classic and flavored milk tea.

c + f = 50

You made 4700 when classic tea costs 100 and flavored tea costs 80.

100c + 80f = 4700

Use this system of equation to solve. Use substitution. Rearrange the first equation so that it is equal to c. Then, plug the c-value into the second equation.

c + f = 50

c = 50 - f

100c + 80f = 4700

100(50 - f) + 80f = 4700

5000 - 100f + 80f = 4700

5000 - 20f = 4700

-20f = -300

f = 15

Plug the f-value into one of the equations and solve for c.

c + f = 50

c + 15 = 50

c = 35

35 glasses of classic milk tea and 15 glasses of flavored milk tea were sold.

4 0

2 years ago

Please help this is due and i only got the second part done

Ainat [17]

Answer:2n+13=75 n=31

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2 years ago

Which radical expression in the picture is equivalent to t^5/8?

mixas84 [53]

<h3>Answer: Choice B</h3>

=========================================================

Explanation:

The rule we use is

$\Large a^{m/n} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m$

where 'a' is the base, m stays in the role of the exponent, and n plays the role of the root index (eg: n = 3 is a cube root, n = 4 is a fourth root, and so on).

So for instance,

$\Large 2^{3/4} = \sqrt[4]{2^3} = \left(\sqrt[4]{2}\right)^3$

or in this case,

$\Large t^{5/8} = \sqrt[8]{t^5} = \left(\sqrt[8]{t}\right)^5$

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2 years ago