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Georgia [21]
3 years ago
9

Simplify (-2)(-3)^2 -2(2 - 5)

Mathematics
1 answer:
Harman [31]3 years ago
4 0
When solving this problem, PEMDAS is a key component. What is PEMDAS?
PEMDAS stands for the following:
P- Parentheses
E- Exponents
M-Multiplication
D- Division
A-Addition
S-Subtraction
This is also known as order of operations. Following this order, we can easily simplify the problem.

P-Parentheses
(-2)(-3)^2-2(2-5)
Our parentheses is (2-5). We can simply this to -3. Our problem now is
(-2)(-3)^2-2(-3)

E-Exponents
We have one set of exponents in this. It is -3^2. This simplifies to 9. Our problem now is
(-2)(9)-2(-3)

M- Multiplication
We can simply to.
-18+6

These simplifies into
-12


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Answer:

1. 252N = ( x  x )N

2. Factor =

Step-by-step explanation:

Let the starting population size for organisms A and B be represented by N.

For organism A;

Day 0: N

Day 1: 2N

Day 2: N

Day 3: N

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Day 5: N

Day 6: N

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For organism B;

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Day 2: N

Day 3: N

Day 4: N

Day 5: N

Day 6: N

Day 7: N

Day 8: N

1. After the eight days, organism B's population is larger than organism A's population by;

N - N = 256N - 4N

              = 252N

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2. Organism A's population grows by .

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\frac{y1 - y2}{x1 - x2}  =  \frac{ (-  \frac{2}{3} ) - ( -2 )}{(1) - ( \frac{1}{2} ) } =  \frac{ \frac{4}{3} }{ \frac{1}{2} } \\  =  \frac{4}{3}  \times  \frac{2}{1}  =  \frac{8}{3}
Therefore, the slope is 8/3.

To find b, we must plug in the slope and one point:
(1) = ( \frac{8}{3} )( -  \frac{2}{3} ) + b \\ 1 =  -  \frac{16}{9}  + b \\  \frac{25}{9}  = b
Therefore, b is 25/9, and the total equation is
y =  \frac{8}{3} x +  \frac{25}{9}
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Answer: the answer is B or 2

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