Answer:
X=6,x=-2
Step-by-step explanation:
To solve this question we will have to follow the step by step procedure
(x-6)(x+2)
x^2+2x-6x-12
Let's continue
x^2-4x-12
Let's factorise
x^2-6x+2x-12
x(x-6)+2(x-6)
(x-6)(x+2)
so to solve further that is to get the value for x
x-6=0
Add 6 to both sides
x=6
x+2=0
Substrate 2 from both sides
x=-2
Therefore x=6,x=-2
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:
$0.05
Step-by-step explanation:
3.45 divided by 64
Answer:
48 Feet (ft) 16.000 Yards (yd)
1 ft = 0.333333 yd 1 yd = 3.000000 ft
Step-by-step explanation: