Answer:
9 units²
Step-by-step explanation:
A differential of area is ...
dA = ((2y -y²) -(y² -4y))·dy = (-2y² +6y)·dy
The indefinite integral of this will be ...
a = -2/3y³ +6/2y²
Then the definite integral over the limits [0, 3] will be ...
(-2/3·3³ +3·3²) - 0 = 9 . . . . square units
Answer:
The value of x is 7.
Step-by-step explanation:
First, you have to make the left side into 1 fraction by making the denormintor the same and make it into simplest form :
Next you have to multiply both sides by 2 in order to make x the subject :
Answer:
Y =-4X +12
Y =-0.625X -0.75
Step-by-step explanation:
(3,0) and (2,4)....
x1 y1 x2 y2
3 0 2 4
(Y2-Y1) (4)-(0)= 4 ΔY 4
(X2-X1) (2)-(3)= -1 ΔX -1
slope= -4
B= 12
Y =-4X +12
~~~~~~~~~~~~~~~~~
(-6,3) and (2,-2)
x1 y1 x2 y2
-6 3 2 -2
(Y2-Y1) (-2)-(3)= -5 ΔY -5
(X2-X1) (2)-(-6)= 8 ΔX 8
slope= - 5/8
B= - 3/4
Y =-0.625X -0.75
<span>Average profit from the sale of 1 piece of furniture = 3x + 1
Average number of pieces of furniture that can be made using current supply of raw materials = 3x - 1.
Therefore,
Average profit of total furniture = Average profit X Average total of furniture sold
= (3x + 1) X (3x - 1)
= 9x^2 - 1</span>
