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vaieri [72.5K]
2 years ago
13

Which statement is true about the polynomial

Mathematics
1 answer:
pantera1 [17]2 years ago
4 0

Question:

Which statement is true about the polynomial

–3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

It has 3 terms and a degree of 5.

It has 3 terms and a degree of 7.

It has 4 terms and a degree of 5.

It has 4 terms and a degree of 7.

Answer:

Option D: It has 4 terms and a degree of 7.

Explanation:

The given polynomial is 3x^4y^3+8xy^5-3+18x^3y^4-3xy^5

We need to simplify the polynomial to determine the number of terms and the degree of the polynomial.

Hence, the simplified polynomial is given by

$3 x^{4} y^{3}+5x y^{5}-3+18 x^{3} y^{4}$

Term of a polynomial:

The term of a polynomial consists of a number multiplied by a variable or it may be a constant.

Thus, the simplified polynomial has 4 terms.

Degree of a polynomial:

The degree of a polynomial is the sum of exponents of the variables in a term.

Thus, the simplified polynomial has a degree of 7.

Hence, the polynomial has 4 terms and a degree of 7.

Therefore, Option D is the correct answer.

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ivanzaharov [21]

Answer: $80


Step-by-step explanation:

Given: The amount earned by Fadil on selling 14 televisions= $1400

Therefore, the amount he earned on selling 1 television=\frac{1400}{14}=\$100

Since, he sold televisions with extended warranty and he earns $20 additional for it.

Then, the fixed amount Fadil earns for each​ television=\$100-\$20=\$80

Hence, Fadil earns $80 as the fixed amount for each televison.

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3 years ago
Identify the equation of a line in point-slope form that passes through the point (-3,4) with a slope of -2
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Answer:

y = -2x - 2

Step-by-step explanation:

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Evaluate the expression:
pickupchik [31]
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A ball is thrown up into the air from a building modeled by the equation:
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Answer:

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2 years ago
Em 1 Graph the system of equations. { x−y=6 ,4x+y=4
muminat

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Step-by-step explanation:

We need to graph the system of equations. x-y=6 ,4x+y=4

First we will find value of x and y

Let:

x-y=6\,\,eq(1)\\4x+y=4\,\,eq(2)

Add eq(1) and eq(2)

x-y=6\,\,\\4x+y=4\,\,\\------\\5x=10\\x=10/5\\x=2

Putting value of x in eq(1) and finding y

x-y=6\\2-y=6\\-y=6-2\\-y=4\\y=-4

So, y=-4

Graphing the system of equations is shown in figure attached.

Solution set is (2,-4). The lines will intersect at (2,-4)

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

8 0
3 years ago
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