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Multiply by -2.
x > -8
_____
Multiplying or dividing by a negative number causes the direction of the relationship to change.
Answer:
Below
Step-by-step explanation:
● x^2 + 11x + 121/4 = 125/4
Substract 125/4 from both sides:
● x^2 + 11x + 121/4-125/4= 125/4 -125/4
● x^2 + 11x - (-4/4) = 0
● x^2 +11x -(-1) = 0
● x^2 + 11 x + 1 = 0
This is a quadratic equation so we will use the determinanant (b^2-4ac)
● a = 1
● b = 11
● c = 1
● b^2-4ac = 11^2-4*1*1 = 117
So this equation has two solutions:
● x = (-b -/+ √(b^2-4ac) ) / 2a
● x = (-11 -/+ √(117) ) / 2
● x = (-11 -/+ 3√(13))/ 2
● x = -0.91 or x = -10.9
Round to the nearest unit
● x = -1 or x = -11
The solutions are { -1,-11}
Answer:
See below.
Step-by-step explanation:
So, we have:

PART A:
Find the GCF. Notice that we have a 3 in every term and a p in every term. Thus, the GCF is 3p:

This is the most we can do.
PART B:
Continue from where we left off. Factor the entire expression:

Answer: There are 2.25×10³⁴ bacteria at the end of 24 hours.
Step-by-step explanation:
Since we have given that
Number of bacteria initially = 1
It triples in number every 20 minutes.
So, 
So, our equation becomes

We need to find the number of bacteria that it will contain at the end of 24 hours.
So, it becomes,

Hence, there are 2.25×10³⁴ bacteria at the end of 24 hours.