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vichka [17]
3 years ago
11

Expand the following : 3/4 (-24x - 16 )

Mathematics
1 answer:
defon3 years ago
6 0

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3. Which equation is graphed in the figure?
kakasveta [241]

3x + 4y = 8 \\ This  \: is  \: your \:  answer.

6 0
3 years ago
3x^2 -5x -2=0
Kipish [7]

Answer:

Step-by-step explanation:

1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)

Two numbers that work are -6 and +1

-6 x +1 = -6

-6 + -1 = -5

2. Split the middle term into the two numbers that you found.

3x^2 -6x +x -2 = 0

I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.

3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'

3x (x-2) +1 (x-2) = 0

4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.

(3x + 1) (x-2) = 0

5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.

3x + 1 = 0              x-2 = 0

3x = -1                   x = 2

x = -1/3

6. The solutions to this equation are x = 2 and x = -1/3

6 0
3 years ago
Read 2 more answers
Is -1.125 a real number?
pochemuha
-1.125=-1\frac{125}{1000}=-1\frac{1}{8}\ is\ real\ number
7 0
3 years ago
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If the first chapter of a certain book is 40 pages long and makes up 20% of the book, how many pages does the entire book have?
Setler [38]

Answer:

200

Step-by-step explanation:

20% of a book = 40 pages

100% of a book = x pages

20/100 = 40/x                Cross multiply

20x = 100*40                 Combine the right

20x = 4000                    Divide by 20

20x/20 = 4000/20         Do the division

x = 200                           Answer

5 0
3 years ago
Arthur earned $136 in three weeks . He goes back to school in one more week . He needs at least $189 to buy the new coat that he
nadya68 [22]
He must earn 53 dollars
7 0
3 years ago
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