Hello! Let's look at the two parts of this question.
Complete the table:
In this case, you just substitute the value of "hour" into the equation, for the value of t. For example:
P(0) = 120 
P(0) = 120 (1)
P(0) = 120
Therefore, the number of bacteria for hour 0 is 120.
You can do this for the next ones. Hour 1 = 240, hour 2 = 480, and so on. (In this case, you can keep multiplying by 2)
Estimate when there will be more than 100,000 bacteria:
Set the final value of P(t) = 100,000, then solve.
100,000 = 120 (2
833.33 = (2
t = 
t = 9.702744108
So your answer would be around 9.7 years, or, around 10 years.
Hope this helps!
2x5 to the power of 2
50 students were told the rumor
But 160 students in all
I assume you’re solving for both X and Y
9) is X= -4, Y = 6
11) is X = -2, Y = 0
I can’t read all of 13.
I hope that helps.
Answer:
(x + 5) • (x + 3) • (x - 2) • (x - 4)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is 8 .
-15 + -1 = -16
-5 + -3 = -8
-3 + -5 = -8
-1 + -15 = -16
1 + 15 = 16
3 + 5 = 8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 3 and 5
x2 + 3x + 5x + 15
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+3)
Add up the last 2 terms, pulling out common factors :
5 • (x+3)
Step-5 : Add up the four terms of step 4 :
(x+5) • (x+3)
Which is the desired factorization
(x + 5) • (x + 3) • (x - 2) • (x - 4)
