Givens
Petri Dish A sees a double ever 10 minutes
Petri Dish B sees a double ever 6 minutes
Consequences
A doubles 60 / 10 = 6 times.
B doubles 60 / 6 = 10 times.
Solution
If you work best with numbers then suppose there are 100 bacteria in both dishes at the beginning
A = 100 * 2^6
B = 100 * 2^10
A will have 100 * 64 = 6400 bacteria growing inside A
B will have 100 * 1024 = 102400 bacteria growing inside B
B/A = 102400 / 6400 = 16
There are 16 times as many in B than in A. <<<< Answer
Answer:
(x + 3)(3x - 4)
Step-by-step explanation:
Given
3x² + 5x - 12
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 12 = - 36 and sum = + 5
The factors are + 9 and - 4
Use these factors to split the x- term
3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )
= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 4)
Thus
3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form
Answer:
(x + 8)(x - 2)(4x - 1)
Step-by-step explanation:
Given that x = - 8 is a zero then (x + 8) is a factor
Divide f(x) by (x + 8) using Synthetic division
- 8 | 4 23 - 70 16
↓ - 32 72 - 16
---------------------------------
4 - 9 2 0
Quotient = 4x² - 9x + 2 = (x - 2)(4x - 1)
Thus
f(x) = (x + 8)(x - 2)(4x - 1)
The answer is 23 and 1÷9
First you multiply 4 by 5 and wind up with 20
Then you multiply four by 7÷9.
That gets you 28÷9
You take out all the nines you can from 28, three in this case.
That gets you 27÷9 + 1÷9
Your total thing is 20+27÷9+1÷9
That equals 20+3+1÷9
That equals 23 and 1÷9
Answer:
Step-by-step explanation:
It is necessary to isolate the term of x from one side of an inequality to find its solution.
<h3>-4x-8>-20</h3>
<u>First, add by 8 from both sides.</u>
<u>Solve.</u>
-20+8=-12
<u>Rewrite the problem down.</u>
<u>Multiply by -1 from both sides.</u>
(-4x)(-1)<(-12)(-1)
<u>Solve.</u>
<u>Multiply the numbers from left to right.</u>
(-12)(-1)=12
4x<12
<u>Divide by 4 from both sides.</u>
4x/4<12/4
<u>Solve.</u>
<u>Divide the numbers from left to right.</u>
12/4=3
<u>x<3</u>
- <u>Therefore, the correct answer is D. x<3 (last option).</u>
I hope this helps you! Let me know if my answer is wrong or not.
