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Greeley [361]
3 years ago
9

Math simplify (7a+5b-2c) + (5a+7b) + (2a-7c) + (2a-5b+3c) algebra

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

Answer:

-10a^2+25ab-15ac+12a+12b-2c

Step-by-step explanation:

(7a+5b-2c)+(5a+7b)+(2a-7c)+(2a-5b+3c)

Distribute:

=7a+5b-2c+5a+7b+(2a)(2a)+(2a)(-5)+(2a)(3c)+(-7a)(2a)+(-7a)(-5b)+(-7a)(3c)

=7a+5b-2c+5a+7b+4a^2-10ab+6ac-10a^2+35ab-21ac

Combine all like terms:

=(4a^2-14a^2)+(-10ab+35ab)+(6ac-21ac)+(7a+5a)+(5b+7b)+(-2c)

=-10a^2+25ab-15ac+12a+12b-2c

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Which of the following is equal to the rational expression when x ≠ -4 or 16
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Answer:

A

Step-by-step explanation:

(x^(2)-16)/((x-16)(x+4))=

[(x+4)(x-4)]/(x-16)(x+4)=

x-4/x-16

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3 years ago
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(y + 5)(y – 9) = 0<br> need help asap!!
OLEGan [10]
Set each equation equal to zero. 

y + 5 = 0

Subtract 5 from both sides. 
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y - 9 = 0

Add 9 to both sides
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3 years ago
50 points help (show ur work)<br> Answer all of them
salantis [7]

Answer:

5.  $40

6.  500 students

7.  60 books

8.  63 pages

Step-by-step explanation:

<h3><u>Question 5</u></h3>

Given:

  • Aiden spent $18 on souvenirs.
  • $18 is 45% of the money he brought on the trip.

Let x be the money Aiden brought on the trip.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

\implies 18:45\%=x:100\%

\implies 18:0.45=x:1

\implies \dfrac{18}{0.45}=\dfrac{x}{1}

\implies 18=0.45x

\implies x=\dfrac{18}{0.45}

\implies 40

Therefore, Aiden brought $40 on the trip.

<h3><u>Question 6</u></h3>

Given:

  • Angel received 300 votes.
  • 300 votes was 60% of all the votes.

Let x be the number of students who voted in the election.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

\implies 300:60\%=x:100\%

\implies 300:0.6=x:1

\implies \dfrac{300}{0.6}=\dfrac{x}{1}

\implies 300=0.6x

\implies x=\dfrac{300}{0.6}

\implies x = 500

Therefore, there were 500 students who voted in the election.

<h3><u>Question 7</u></h3>

Given:

  • The students sold 80% of the books.
  • The total number of books they sold is 48.

Let x be the number of books in the sale.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

\implies 80\%:48=100\%:x

\implies 0.8:48=1:x

\implies \dfrac{0.8}{48}=\dfrac{1}{x}

\implies 0.8x=48

\implies x=\dfrac{48}{0.8}

\implies x=60

Therefore, there were 60 books in the book sale.

<h3><u>Question 8</u></h3>

Given:

  • Aiyana read 147 pages of the book.
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If she has completed 70% of the book, then she still has 30% left to read, as 100% - 70% = 30%.

Let x be the number of pages Aiyana still has to read.

Create equivalent ratios with the given information and defined variable, and <u>solve for x</u>:

\implies 70\%:147=30\%:x

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\implies x=\dfrac{44.1}{0.7}

\implies x=63

Therefore, Aiyana still has 63 pages left to read.

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Answer:

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Since we want negative y values, we look at "WHERE" the function is "UNDER" the y-axis.

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Hence, the function is negative at the interval  -1 ≤ x ≤ 3

B is correct.

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