Answer:
Average mature trees are from 200 to 240 feet high with diameters of 10 to 15 feet at 4 feet 8 inches above the ground. Exceptional individuals sometimes reach a height of 350 feet, a diameter of over 20 feet, and an age of approximately 2000 years. Redwood leaves are green, flat, and sharp-pointed.
S=50x-x^2
dS/dx=50-2x
d2S/dx2=-2
Since acceleration is a constant negative, when velocity equals zero, it is at the absolute maximum point for S(x)...
dS/dx=0 only when 50-2x=0, 2x=50, x=25
So the price that will maximize income is $25.00 a seat.
And that maximum income is:
S(25)=50x-x^2
S(25)=$625.00
Let x and y represent angles 1 and 2, respectively. The given relations tell you
... x + y = 180 . . . . the sum of measures of a linear pair is 180°
... y = 2x + 6 . . . . angle 2 is 6 more than twice angle 1
One way to solve these is to add twice the first equation to the second.
... 2(x + y) + (y) = 2(180) + (2x +6)
Now, subtract 2x
... 3y = 366
... y = 122 . . . . divide by the coefficient of y
The measure of angle 2 is 122°.
Answer:
( 5, 3/2 )
x = 5
y = 3/2
Step-by-step explanation:
5x - 4y = 19
x + 2y = 8
-------------------
2(x + 2y = 8) = 2x + 4y = 16
----------------------
5x - 4y = 19
2x + 4y = 16
7x = 35
÷7 ÷7
x = 5
-----------------------
x + 2y = 8
5 + 2y = 8
-5 -5
2y = 3
÷2 ÷2
y = ( 3/2 )
I hope this helps!
