Which graph shows the solution to the inequality -3x-7 <20?
1 answer:
Answer:
x > -9
Step-by-step explanation:
The solution to the inequality is obtained as follows:
-3x -7 < 20
-3x - 7 + 7 < 20 + 7
-3x < 27
-3x/(-3) > 27/(-3)
x > -9
Notice that when you divide by a negative number, the inequality sign changes.
In the picture attached, the graph of the solution s shown. Notice that -9 is not included in the solution.
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Answer: A) The initial number of bacteria is 350.
Step-by-step explanation:
Exponential growth equation: , where A=Initial value, r= growth rate. (i)
Given: A bacteria sample can be modeled by the function which gives the number of bacteria in the sample at the end of x days.
Here,
Compare this equation to (i) , we get A = 350 and r= 0.20 = 20% (growth rate)
So, the best interpretation of one of the values in this function are:
A) The initial number of bacteria is 350.
Divide both sides by -3, and replace with
. Then
Factorize the quadratic in to get
which in turn means
But for all real
, so we can ignore the first solution. This leaves us with
If we allow for any complex solution, then we can continue with the solution we ignored: