Answer:
f(x) = - 8
Explanation:
The given function is
f(x) =2x^2 -4x -6
The first step is to find the derivative of the function. Recall, if
y = ax^b
y' = abx^(b - 1)
Thus,
f'(x) = 4x - 4
We would equate f'(x) to zero and solve for x. We have
4x - 4 = 0
4x = 4
x = 4/4
x = 1
We would substitute x = 1 into the original function and solve for f(x) or y. It becomes
f(1) =2(1)^2 -4(1) - 6 = 2 - 4 - 6
f(1) = - 8
Thus, the minimum value is f(x) = - 8
Answer:
3 11/20
Step-by-step explanation:
Total gallons of water=7
Spring water=two and one-fourth gallon=2 1/4
Filtered water=one and one-fifth
=1 1/5
Spring water+filtered water=2 1/4 + 1 1/5
=9/4+6/5
= 45+24/20
=69/20
=3 9/20
How many gallons of water were not spring or filtered
=Total gallons- (spring+ filtered water)
=7-69/20
=140-69/20
=71/20
=3 11/20
Firstly, we need to draw triangle
we know that
O is a centroid
and centroid divides median into 2:1
so,

we have FO=4
so, we can plug it


now, we can find CF
CF=OC+FO
CF=8+4
CF=12
now, we can see triangle ACF is a right angled triangle
so, we can use pythagoras theorem

now, we can solve for x



Since, it is equilateral triangle
so,

we know that
E is a mid-point
so,

now, we can plug values

................Answer
Answer:
Step-by-step explanation:
7 + (-5)= 2
Answer:
2.5 or 2 1/2
Step-by-step explanation:
4 x 5= 20/8 = 2.5
:)))))