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Eduardwww [97]
3 years ago
8

The length of a rectangle is (6x2 + 3x - 2) units, and its width is (x3 - 2x + 5) units. Part A: What is the area of the rectang

le? Show your work.
Part B: Does the answer for Part A show that polynomials are closed under an operation? Justify your answer.

Part C: What is the degree and classification of the expression obtained in Part A?
Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0
<span>Part A: Area = length * width = (6x^2 + 3x - 2) * (x^3 - 2x + 5) Multiply it out and simplify.

part B: </span><span>Take the first term 6x^2 and multiply each of the term x^3, -2x & 5. Then take 3x and multiply each of the term x^3, -2x & 5. Do the same with -2. Then add like terms and simplify.</span>
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If f(x) = -4x2 - 6x-1 and g(x) = – x2 - 5x + 3, find (f+ g)(x).
ziro4ka [17]

Answer:

- 5x² - 11x + 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= - 4x² - 6x - 1 + (- x² - 5x + 3)

= - 4x² - 6x - 1 - x² - 5x + 3 ← collect like terms

= - 5x² - 11x + 2

4 0
3 years ago
Read 2 more answers
If the sum of -4 and the opposite of a number is multiplied by -3, the result is 6 less than the product of the number and 2. Wh
OLEGan [10]
One number<span> is eight </span>less than<span> five </span>times<span> another. </span>If the sum<span> of the </span>two numbers<span> is 28, find the </span><span>numbers . Please levae this i need points i have 0000

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5 0
3 years ago
Help?! Please! Thank you!!!!!!!
rjkz [21]
I think this is right. Hope it helps

3 0
3 years ago
Directions: Follow the instructions for the following inequalities. 1. 4&lt;7 Multiply both sides by 7 , then by 6, then by 3, t
worty [1.4K]

In the given question, we have to perform this experiment and test if the inequality is true or not.

Adding the same value to both sides of the inequality will not change the inequality sign

<h3>Inequality</h3>

data;

  • 4 < 7
  • 11 > - 2
  • -4 < - 2
  • -8 < 8

In the first case, we would do follow the process

6 * 7 * 4 < 7 * 7 * 6\\168 < 294

In the second case;

11 > - 2\\\\5 + 11 > -2 + 5\\3 + 16 > 3 + 3\\4+ 19 > 6 + 4\\23 > 10

In all the scenarios, the operations did not affect the inequality sign because we are doing it equally to all side and at the end of the day nullifies each other.

Learn more on inequality here;

brainly.com/question/24372553

#SPJ1

4 0
2 years ago
Number of data values: 1007
kogti [31]

Answer:

The arithmetic mean is 10.9

Step-by-step explanation:

In this question, we are tasked with calculating the arithmetic mean using the information given.

The arithmetic mean or otherwise called the average is the sum of all the values in a given set divided by the number of elements or count of the elements in that particular data set

Mathematically, the arithmetic mean can be found by dividing the sum of the data values by the number of data values.

In equation form, we have Arithmetic -mean = \frac{sum of data values}{number of data values}

Inserting the values, we have Arithmetic mean = 10998/1007 = 10.92 which is 10.9 to the nearest tenth

5 0
3 years ago
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