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matrenka [14]
3 years ago
12

What is the remainder when (2x^3 - 5x^2 + 3x + 7) is divided by (x - 2)?

Mathematics
2 answers:
Stells [14]3 years ago
6 0

Answer:

<h2>remainder = 9</h2>

<u>Step-by-step explanation:</u>

(x - 2) => x = 2

f(x) = f(2)

<h2>___________</h2>

= 2x³ - 5x² + 3x + 7

= 2(2)³ - 5(2)² + 3(2) + 7

= 2×8 - 5×4 + 6 + 7

= 16 - 20 + 6 + 7

= 29 - 20

= 9

german3 years ago
4 0

Answer:

9

Step-by-step explanation:

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The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?
MAXImum [283]
Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with answering this problem, and will be teaching you how to deal with it on your own in the future.

First, let's take a look at our question, and evaluate it.

"The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?"

To clarify this problem, we are looking for the patio's width.

Let's first understand what the area of a rectangular shape is.
The formula for the area of a rectangle is "Length times Width", or "L • W".

So this is how the equation should look like:
A = L • W
We have our area, 5 5/8, and we have our length, 1 1/2.

To make things more simple, let's convert our fractions to decimals. Now, to convert our fractions to decimals, let's set our denominators (the numbers on the bottom of a fraction) equal to another fraction, with x as the numerator (the numbers on the top of a fraction) and 100 as the denominator.

So we have 1/2 and x/100. Divide 100 by 2 to find x (as 1/2 of anything is dividing by 2).
100 / 2 = 50, so 1 1/2 = 1.50 as a decimal.

Now, let's try 5/8.
1/8 = 0.125, so multiply 0.125 by 5.
0.125 • 5 = 0.625.
5 5/8 = 5.625 as a decimal.

So, now we have our equation:
A = L • W
Plug in our numbers.
5.625 = 1.50x

To isolate and solve for x, we need to divide both sides by 1.50, so let's do that.
5.625 / 1.50 = 3.75
1.50x / 1.50 = x

We are now left with:
x = 3.75

Your answer is:
The patio's width is 3.75 yards.

I hope this helps!
8 0
3 years ago
Janet and Marjorie want to buy rolls of material to line rectangular drapes for their rooms. The rectangular piece of material o
Nuetrik [128]

Answer:

They need 2 and 1/2 rolls.

Step-by-step explanation:

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A = l x w

A = 20 x 3

A = 60 ft²

If 60 ft² = 1 roll

What about 150 ft² = ?

= (150 x 1) ÷ 60

= 150 ÷ 60

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3 years ago
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scoray [572]

Answer:

true

Step-by-step explanation:

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3 years ago
Karens batting average is 0.444.she was at bat 45 times. how many hits did she get
alexgriva [62]

Answer:

A batting average is simply the ratio of hits/at-bats.  So, if Karen were up to bat 1,000 times and she got a hit 444 times, that makes her batting average 444/1,000 = .444.

The good news is you can multiply this ratio by number of at bats to get the number of hits.

So, 45 hits x .444 = your answer.

Hope that helps.

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this function model grows.

Step-by-step explanation:

The value of b, 1.56, is greater than 1.

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