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dlinn [17]
3 years ago
14

What number should be added to the expression x^2 + 4x to change it into a perfect square trinomial?

Mathematics
2 answers:
Schach [20]3 years ago
8 0
X^2 + 4x
the number to be added is found by dividing the constant of x by 2
 and squared the number
so # to be added =  ( 4/2)²  =  4
the perfect square trinomial is
x² + 4x + 4    =    (x + 2 )²    which is a perfect square trinomial
I hope this help you
tiny-mole [99]3 years ago
3 0
He number that must be added is four because (x+2)^2=x^2+4x+4
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3 years ago
After how many months will colony 2 always have more bacteria than colony 1?
MaRussiya [10]

The true statement is that colony 2 will always have more bacteria than colony 1 after 4 months

<h3>How to determine the number of months?</h3>

The functions are given as:

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  • Colony 2: g(x) = 2^x

When colony 2 has more bacteria than colony 1, then it means that:

g(x) >f(x)

Substitute the function values

2^x > x^2

From the graph of both functions, we have:

2^x > x^2 at x >4

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Read more about functions at:

brainly.com/question/11464095

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2 years ago
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3 years ago
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ArbitrLikvidat [17]

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8 0
3 years ago
Create a list of steps, in order, that will solve the following equation 1/4(x+5)^2-1=3
Paul [167]

Answer:

Add 1 to each side

Multiply each side by 4

Take the square root of each side

Subtract 5 from each side

Combine terms

Step-by-step explanation:

1/4(x+5)^2-1=3

Add 1 to each side

1/4(x+5)^2-1+1=3+1

1/4(x+5)^2=4

Multiply each side by 4

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Take the square root of each side

sqrt((x+5)^2)=±sqrt(16)

x+5 = ±4

Subtract 5 from each side

x+5-5 = -5  ±4

x = -5  ±4

Combine terms

x = -5+4       x = -5-4

x = -1            x = -9

7 0
3 years ago
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