Differentiate using the exponential rule, which determines that ![\bf{\frac{d}{dx}[a^{x}] }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Ba%5E%7Bx%7D%5D%20%20%7D)
is 
when a=3.
Therefore, the correct option is "E". You just have to remove the parentheses.
Answer:
a. 5,040 ways
b. 210 ways
Step-by-step explanation:
a) We want to pick 4 numbers out of 10 given that orders matter
If orders do matter, it will be a permutation problem
Mathematically;
n P r = n!/(n-r)!
In this case, n is 10 and r is 4
Thus, we have it that;
10 P 4 = 10!/(10-4)! = 5,040
b) if orders do not matter
It will be a combination problem
n C r = n!/(n-r)!r!
n = 10 and r = 4
10 C 4 = 10! /(10-4)!4!
= 210
Answer:
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Step-by-step explanation:
Let
x = price of balcony tickets
y = price of orchestra tickets
y = 3x (1)
148y + 76x = 3,640 (2)
Substitute y = 3x into (2)
148y + 76x = 3,640 (2)
148(3x) + 76x = 3,640
444x + 76x = 3,640
520x = 3,640
x = 3,640/520
x = 7
Substitute x = 7 into (1)
y = 3x (1)
y = 3(7)
y = 21
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
C. (x + 2)(x + 1)
it can be turned into an equation :)
10x= -8x + 36
-8x -8x
———————-
2x= 36
— —
2 2
X=18
