Answer:
6.84 ≤ x ≤ 37.39
Step-by-step explanation:
we have
-----> equation A
we know that
The company wants to keep its profits at or above $225,000,
so
-----> inequality B
Remember that P(x) is in thousands of dollars
Solve the system by graphing
using a graphing tool
The solution is the interval [6.78,39.22]
see the attached figure
therefore
A reasonable constraint for the model is
6.84 ≤ x ≤ 37.39
Answer: S(-5;3) Q(-2;2) R(-3;-2) T(-6;-1)
When reflected over the y-axis, their x values will change sign
S(5;3) Q(2;2) R(3;-2) T(6;-1)
Translate 3 units to the right, their x values will increase by 3
S(8;3) Q(5;2) R(6;-2) T(9;-1)
Step-by-step explanation:
The population triples ( P × 3 ) every ten minutes...
So if ten minutes is reached there will be 1,200 bacteria.
Edited - missed the question
** The units for time should be in minutes.
P = 400 × 3^(t/10)
at t = 0 ; P = 400
at t = 10 ; P = 1,200
When P = 600
600 = 400 × 3^(t/10)
6/4 = 3^(t/10)
Log(3/2) = Log(3^(t/10))
power rule
Log(3/2) = (t/10) Log(3)
10 × Log(3/2)/Log(3) = t
3.69 minutes the population will be at 600 bacteria
Unites for time are in minutes.
Answer:
-5/14
Step-by-step explanation:
When adding fractions, you need to have a common denominator, the bottom part of a fraction. Because one denominator is 14 and the other is 7, you must create a new denominator.
To create a new denominator, you can either reduce a fraction or multiply it by something, which is easier.
For this problem, we can convert 2/7's denominator into 14 instead of 7 by multiplying the fraction by 2/2:
<u>2</u> x <u>2</u> = <u>4</u>
7 2 = 14
2/7 has now converted into 4/14. Now, we can easily add.
-9/14+4/14 This can be rewritten as something more understandable.
4/14-9/14 We are now subtracting.
-5/14 This cannot reduce, so it is our answer.
I hope this helps!! Have an amazing day and let me know if you want more explanation ;)
maybe try -5 since the rise/run is 5/1 and the slope is negative
