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tamaranim1 [39]
3 years ago
9

Which algebraic expression is a polynomial with a degree of 5?

Mathematics
2 answers:
anygoal [31]3 years ago
8 0

Answer:

2xy^4 + 4x^2y^3 - 6x^3y^2 - 7x^4

Step-by-step explanation:

Since, the highest degree in a polynomial is called the degree of the polynomial,

While, the degree of each term in a polynomial with two variables is the sum of the exponents in each term.

In 3x^5 + 8x^4y^2 - 9x^3y^3 - 6y^5,

Sum of exponents are 5, 6, 6, 5,

So, degree of the polynomial is 6.

In 2xy^4 + 4x^2y^3 - 6x^3y^2 - 7x^4,

Sum of exponents are 5, 5, 5, 4,

So, degree of the polynomial is 5.

In 8y^6 + y^5 - 5xy^3 + 7x^2y^2 - x^3y - 6x^4,

Sum of exponents are 6, 5, 4, 4, 4, 4

So, degree of the polynomial is 6.

In -6xy^5 + 5x^2y^3 - x^3y^2 + 2x^2y^3 -3xy^5,

Sum of exponents are 6, 5, 5, 5, 5

So, degree of the polynomial is 6.

Eddi Din [679]3 years ago
6 0
The degree of a polynomial is the highest exponent or sum of exponents of the variables in the individual terms of a polynomial.

Looking at each the polynomial:

3x5 + 8x4y2 – 9x3y3 – 6y5: Degree is 6 (look at the 2nd and 3rd term)

2xy4 + 4x2y3 – 6x3y2 – 7x4: Degree is 5 (look at 1st, 2nd, and 3rd term)

8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4: Degree is 6 (look at 1st term)

–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5: Degree is 6 (look at 1st and last term)

Therefore, the answer is the second option:
2xy4 + 4x2y3 – 6x3y2 – 7x4
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Write an appropriate direct variation equation if y = 18 when x = 2
Sergeu [11.5K]

Answer:

y=9x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem we have

y=18 when x=2

Find the value of the constant of proportionality k

k=\frac{y}{x} ----> k=\frac{18}{2}=9

therefore

The equation is equal to

y=9x

8 0
3 years ago
so if Sarah has 10 apples and shes gives 2 to Jack, and Noah gives Sarah 8 more. How many apples does Sarah have now?
NARA [144]

Answer:

10-2+8

8+8=16

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Can you please help me with this? I don't get it
kirill115 [55]
<span>If you're trying to solve for x, then there is no solution. Since the left side is positive, the inequality has no solution over the domain.</span>
3 0
2 years ago
) a) Liaqat gave his uncle a puzzle. "five times my age plus 10 years makes 70 years." How old is Liaquat? b) His uncle replied,
Kamila [148]

Answer:

a. 12 years

b. 30 years

Step-by-step explanation:

a) Assume Liaqat's age is x. His age would be:

5x + 10 = 70

5x = 70- 10

x = (70 - 10) / 5

x = 12

<em>Liaqat is 12 years old.</em>

b. Assume his uncle's age is y;

4y - 10 = 130

4y = 130 - 10

y = (130 - 10) / 4

y = 30

<em>Liaqat's uncle is 30 years old. </em>

8 0
3 years ago
Photos and videos have become an important part of the online social experience, with more than half of Internet users posting p
klasskru [66]

Answer:

0.82

Step-by-step explanation:

Given:

<em>A</em> be the event that an Internet user posts photos taken by themselves.

<em>B</em> be the event that an Internet user posts photos taken by themselves.

P(A) = 0.47

P(A) = 0.28

P(A or B) = P(A\cup B) = 0.52

To find:

Conditional probability that an Internet user posts photos given that they post videos.

OR

P(A/B) = ?

Solution:

<em>Formula </em>to be used to find the required conditional probability:

P(A/B) = \dfrac{P(A \cap B)}{P(B)}

For this, P(A \cap B) is required.

<em>Formula</em>

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

0.52=0.47+0.28-P(A\cap B)\\\Rightarrow P(A\cap B)=0.23

Now, the required conditional probability is:

P(A/B) = \dfrac{P(A \cap B)}{P(B)}\\\Rightarrow P(A/B) = \dfrac{0.23}{0.28}\\\Rightarrow \bold{P(A/B)} = 0.82}

So, the answer is <em>0.82</em>.

5 0
3 years ago
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