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katrin [286]
3 years ago
11

4. Determine the following difference. (2x² + 3x - 10) - (x² - x + 111)  please explain

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
8 0
Hi there! The answer is A.

(2x² + 3x - 10) - (x² - x + 111) 
Let's solve this problem step by step!

First work out the parenthesis. Because we multiply by negative 1, we mustn't forget to change the symbols in front of the factors.
2x² + 3x - 10 - x² + x - 111

Now rearrange our expression, in order to collect the terms later.
2x² - x² + x + 3x - 10 - 111

And finally collect the terms.
x² + 4x -121

The answer is A.
~ Hope this helps you!
hjlf3 years ago
6 0
Hi there!

Simplify th' expression :-

(2x² + 3x - 10) - (x² - x + 111)

⇒ 2x² + 3x - 10 - x² + x - 111

⇒ 2x² - x² + 3x + x - 10 - 111

⇒x² + 4x - 121

Hence,
Option A. x² + 4x - 121 is Correct

~ Hope it helps!
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Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50. Jason went into the same movi
ruslelena [56]

The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

<em><u>Solution:</u></em>

Let d" be the price of 1 drink

Let "p" be the price of 1 pretzel

Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50

<em><u>Therefore, we can frame a equation as,</u></em>

3 x price of 1 drink + 10 x price of 1 pretzel = 54.50

3 \times d + 10 \times p = 54.50

3d + 10p = 54.5 ---------- eqn 1

Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25

9 x price of 1 drink + 5 x price of 1 pretzel = 57.25

9 \times d + 5 \times p = 57.25

9d + 5p = 57.25 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 3

9d + 30p = 163.5 ----- eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

9d + 30p = 163.5

9d + 5p = 57.25

( - ) -----------------------

25p = 106.25

p = 4.25

<em><u>Substitute p = 4.25 in eqn 1</u></em>

3d + 10(4.25) = 54.5

3d + 42.5 = 54.5

3d = 54.5 - 42.5

3d = 12

d = 4

Thus price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

4 0
3 years ago
Please help &lt;3 Thanks!!
iVinArrow [24]

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7 0
4 years ago
Each marble bag sold by Josh's Marble Company contains 7 yellow marbles for every 5 red marbles. If a bag has 25 red marbles, ho
elixir [45]
5 red : 7 yellow
25 red: ? Yellow

5 x 5 is 25 therefore the multiplier is 5
We multiply 7 by 5 which is 35

Therefore 24 red : 35 yellow

35 yellow marbles
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3 years ago
In a theater there are 15 chairs in the first row, each row has 3 more chairs than the previous
andrew11 [14]

Answer:663

Step-by-step explanation:

The first row is 15,so you have to add three from  the first row you and you get 18 and then you keep going and going till you get to the 17th row then you add the numbers together.

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3 years ago
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Answer:

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