<em>multiply both sides by 5 </em> 3(15k+10)=5(12k-9)
<em>get rid of the brackets</em> 45k+30=60k-45
<em>take away 45k to both sides</em> 30=15k-45
<em>plus 45 to both sides</em> 75=15k
<em>divide both by 15</em> k=5
Answer:
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we know that
The equation of a exponential growth function is given by
where
N(t) is the number of bacteria
t is the time in minutes
a is the initial value
r is the rate of change
we have
substitute
Find the value of r
Looking at the table
For t=1 min, N(t)=520,000
substitute in the exponential equation
therefore
Answer:
Option B:
Step-by-step explanation:
Given that:
By simplifying and factorizing we get:
By taking LCM we get:
I hope it will help you!
They want you to find the composite function and they evaluate it at a give value for x...first the composite function...
f(g(x))=(x-1.5)^2+3(x-1.5)+6
f(g(x))=x^2-3x+2.25+3x-4.5+6
f(g(x))=x^2+3.75, this is the completed composition function...now:
f(g(1)=1+3.75=4.75
Call Canada's population
, and call the U.S. population
.
We see that
. Substituting 32 million for c, we see that
. Multiplying by ten, we see that
. By using Algebra properly, we have ensured that the number of zeroes in our final answer is correct.