Answer:
hello
Step-by-step explanation:
f(x) = 4x - x^2
1)
f(4) = 4(4) - 4^2 = 16 - 16 = 0
f(-4) = 4(-4) - (-4)^2 = -16 - 16 = -32
f(4) - f(-4) = 0 - (-32) = 32
2)
f(3/2) = 4(3/2) - (3/2)^2
f(3/2) = 6 - 9/4 = 15/4
√f(3/2) = √(15/4) = √15 / 2
3)
f(x + h) = 4(x + h) - (x + h)^2
= 4x + 4h -(x^2 + 2xh + h^2)
= 4x + 4h -x^2 - 2xh - h^2
f(x - h) = 4(x - h) - (x - h)^2
= 4x - 4h -(x^2 - 2xh + h^2)
= 4x - 4h -x^2 + 2xh - h^2
So
[f(x + h) -f(x - h) ] / 2h
= [4x + 4h -x^2 - 2xh - h^2 - ( 4x - 4h -x^2 + 2xh - h^2 )] / 2h
=( 4x + 4h -x^2 - 2xh - h^2 - 4x + 4h + x^2 - 2xh + h^2 ) / 2h
= (8h - 4xh) / 2h
= 2h(4 -2x) / 2h
= 4 - 2x
Answer: [f(x + h) -f(x - h) ] / 2h = 4 - 2x
Answer:
Unit rate of oreos = 19.23 cents/oz
Unit rate of Chips Ahoy = 17.86 cents/oz
The cheapest and most affordable is the chips ahoy because it has a lower unit rate.
Step-by-step explanation:
Oreos 2.98 for 15.5.Oz or chips ahoy for 2.50 for 14.Oz I pick chips ahoy BUT ITS ASKING UNIT RATE CENTS PER OZ
We would be finding the Unit Rate of each product.
For Oreos
Oreos $2.98 for 15.5.Oz
We convert dollars to cents
1 dollars = 100 cents
2.98 dollars = x
x = 2.98 × 100 cents
= 298 cents
Hence, the unit rate in cents/oz
= 298 cents/15.5 oz
= 19.225806452 cents/oz
= 19.23 cents/oz
For Chips ahoy
$2.50 for 14.Oz
We convert dollars to cents
1 dollars = 100 cents
2.50 dollars = x
x = 2.50 × 100 cents
= 250 cents
Hence, the unit rate in cents/oz
= 250 cents/14 oz
= 17.857142857 cents/oz
= 17.86 cents/oz
Therefore, the cheapest and most affordable is the chips ahoy because it has a lower units rate.
When you arrange the N points in sequence around the polygon (clockwise or counterclockwise), the area is half the magnitude of the sum of the determinants of the points taken pairwise. The N determinants will also include the one involving the last point and the first one.
For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
(1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
= (1/2)*|1 -11 +4| = 3
