Answer:
D) 130 workers
Step-by-step explanation:
We have the equation, <em>y = 2x + 40</em>, and <em>y, 300</em> (since the y-coordinate represents the # of bottles made), so we can solve for x, <em>the number of workers needed</em>.
Substitute: <em>300 = 2x + 40</em>
Subtract: <em>260 = 2x</em>
Divide: <em>x = 130</em>
Since x = 130 when y = 300, 130 workers are required to make 300 bottles in a day.
Exponentail thingies
easy, look at all them them, see that they have 5 in common?
rremember how esay it was to factor
ax^2+bx+c=0
now we have
5^(2x)-6(5^x)+5=0
remember that 5^(2x)=(5^2)^x or (5^x)^2
in other words, we can rewrite it as
1(5^x)^2-6(5^x)+5=0
if yo want, replace 5^x with a and factor
1a^2-6a+5=0
(a-1)(a-5)=0
a=5^x
(5^x-1)(5^x-5)=0
set each to zero
5^x-1=0
5^x=1
take the log₅ of both sides
x=log₅1
5^x-4=0
5^x=4
take the log₅ of both sides
x=log₅4
x=log₅1 and/or log₅4
second quesiton
same thing
1(2^x)-10(2^x)+16=0
factor
(2^x-8)(2^x-2)=0
set each to zero
2^x-8=9
2^x=8
x=3
2^x-2=0
2^x=2
x=1
x=3 or 1
first one
x=log₅1 and/or log₅4
second one
x=1 and/or 3
Answer:
Step-by-step explanation:
The limit is:
so, you have an indeterminate result. By using the l'Hôpital's rule you have:
by replacing, and applying repeatedly you obtain:
hence, the limit of the function is -1/14
You will need this formula:
Years = ln (Total / Principal) / rate
(where "ln" means natural logarithm)
and we'll use $100 and $200 for beginning and ending amount
Years = ln (200 / 100) / rate
Years = 0.69314718056 / .052
Years =
<span>
<span>
<span>
13.3297534723
</span>
</span>
</span>
Rounding to the nearest tenth of a year:
Years =
<span>
<span>
<span>
13.3
Source:
http://www.1728.org/rate2.htm
</span></span></span>
The highest common factor is seven
