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2 years ago

Evaluate The quantity of x cubed plus 3x squared minus 2x plus 7 divided by the quantity of x minus 2 end quantity period.

Mathematics

1 answer:

Minchanka [31]2 years ago

5 0

The value of x^3 + 3x^2 - 2x + 7 divided by x- 2 is (x^2 + 5x + 8) + 23/(x - 2)

<h3>What is a quotient?</h3>

Quotients involve the result of dividing a dividend by a divisor.

In other words, quotient means division or the result of a division operation

<h3>How to solve the quotient?</h3>

The quotient expression is given as:

(x^3 + 3x^2 - 2x + 7)/x- 2

Expand the numerator in the above expression

(x^3 + 5x^2 - 2x^2 + 8x - 10x - 16 + 23)/(x - 2)

Rearrange the terms of the numerator in the above expression

(x^3 + 5x^2 + 8x - 2x^2 - 10x - 16 + 23)/(x- 2)

Factorize the numerator in the above expression

[x(x^2 + 5x + 8) - 2(x^2 + 5x + 8) + 23]/(x - 2)

Factor out x^2 + 5x + 8

[(x -2)(x^2 + 5x + 8) + 23]/(x - 2)

Split the fractions

(x -2)(x^2 + 5x + 8)/(x - 2) + 23/(x - 2)

Divide the common factors

(x^2 + 5x + 8) + 23/(x - 2)

Hence, the value of x^3 + 3x^2 - 2x + 7 divided by x- 2 is (x^2 + 5x + 8) + 23/(x - 2)

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4 years ago

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Vika [28.1K]

Answer:

<u>The correct answer is C. 21x³y</u>

Step-by-step explanation:

Let's simplify the product, this way:

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Let's recall that √y * √y = √y² = y

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<u>The correct answer is C. 21x³y</u>

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3 years ago

For what values of x is x + 2x = 24 true?

sveta [45]

I’m sorry. But none of your choices are correct. The correct answer would be 3 and 4. Further more explaining= 3+ 2 times 4 is 24. 2x= 4. That equals 8 and 3 times 8 is 24

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3 years ago

Table of inches and centimeters

TEA [102]

If you compare table values to answer choices, you can see right away that several don't work. The number of centimeters is greater than the number of inches, so adding to or multiplying the number of centimeters by some number more than 1 will not give you the smalller number that is inches.

While it may work for the first number (5 inches) to add 7.7 to get the first number of centimeters (12.7), you have to know that you can only add like to like. You can only add inches to inches (getting a result of inches), or centimeters to centimeters (getting a result of centimeters). From the point of view of the units involved, it is <em>nonsensical</em> to add a pure number to a number of inches and expect to get a number of centimeters.

So, we're down to the second choice:

- The number of inches is multiplied by 2.54 to find the number of centimeters.

_____

To find the pattern in the table, you can ...

observe that the inch values differ by 1
observe that the centimeter values differ by 2.54
realize that the constant differences mean the relation between inches and centimeters is linear, and that a change in an inch value of 1 inch is multiplied by 2.54 to find the corresponding change in centimeter value.

_____

I don't know what the first step in your problem solving process is supposed to be. In my problem solving process, the first step is always to <em>look at what you are given</em>. The next step is <em>look at what you are being asked for</em>.

8 0

3 years ago

Read 2 more answers

X4⋅x5=x20 <br><br> Group of answer choices<br><br> True<br><br> False

Gnoma [55]

Answer:

True.

Step-by-step explanation:

It explains itself right

3 0

3 years ago