There are 2 options to solve that.
1. The first one is by derivatives.
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)
For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)
Answer: (-20,-4)
First, you substitute y into the first equation to get 0.01x - 0.3(0.1x - 2) = 1
You then distribute the 0.3 to what is inside the parentheses to get 0.01x-0.03x+0.6=1
(Note: the 0.6 is positive because two negatives multiplied equal a positive)
Now you combine like terms to get -0.02x+0.6=1
Subtract 0.6 from both sides of the equal sign to get -0.02x=0.4
Divide each side by -0.02 to get x=-20
Now plug in -20 to y=0.1x-2 to get y=-4
This gives you the answer (-20,-4)
1 hour = 60 minutes = 3600 seconds = 1/24 day
Divide every number above by 2 to get 1/2 hour and its equivalent numbers.
1/2 hour = 30 minutes = 1800 seconds = 1/12 day
Answer:
6
Step-by-step explanation:
$603 dollars ÷ 100 shoppers = $6.03 per shopper, or 6 as a mixed number
