Answer:
The vertex of the function
is 
Step-by-step explanation:
I've graphed this on desmos for a visual
Answer:
5x2+11x−4
Step-by-step explanation:
=2x2+−4x+8+3x2+15x+−12
Combine Like Terms:
=2x2+−4x+8+3x2+15x+−12
=(2x2+3x2)+(−4x+15x)+(8+−12)
=5x2+11x+−4
have a great weekend <3
First we have to calculate the half-life
half-life = elapsed time * log (2) / log (bgn amt / end amt)
half-life = 1 hour * 0.30102999566 / log (1 / .95)
half-life = 0.30102999566 / log (<span>
<span>
<span>
1.0526315789 )
</span>
</span>
</span>half-life = 0.30102999566 / 0.022276394692
half-life = <span>
<span>
<span>
13.5134073454 hours
</span>
</span>
</span>
Ending Amount = Beginning Amount / 2^n
Where "n" = number of half-lives
For 4 hours, "n" equals
4 / 13.5134073454
=<span>
<span>
<span>
0.2960023255
</span></span></span>Ending Amount = 500 grams / 2^.2960023255
Ending Amount = 500 grams /<span>
<span>
<span>
1.2277376629
</span>
</span>
</span>Ending Amount = <span>
<span>
<span>
407.2531250707 grams
Source:
http://www.1728.org/halflife.htm
</span></span></span>
Answer:
<em>Correct choice: B</em>
Step-by-step explanation:
<u>System of non-linear equations</u>
It's given the following system of equations:


We'll use the substitution method. Substituting y from the first equation into the second equation, we have:

Moving all terms to the left side:

Simplifying:

Factoring:

There are two solutions:
x=-4, x=2
The first solution gives a value for y:
y=-4+13=9
First solution: (-4,9)
The second solution gives a value for y:
y=2+13=15
Second solution: (2,15)
Correct choice: B