Answer:
f(-x) = -4x^3 + 9x, f(x) is an odd function
Step-by-step explanation:
We are given that f(x) = 4x^3 - 9x. In order to solve this problem, we first need to understand what an odd function is and what an even function is. When we have an odd function, f(-x) = -f(x). Meaning, that if we plug -x in for x, we should get -f(x). On the other hand, with an even function, f(-x) = f(x). Even if you change the sign, when you simplify, you will get back the same function. In either case, we have to first find f(-x) to figure this problem out:
![f(-x)=4(-x)^3-9(-x)\\f(-x)=-4x^3+9x](https://tex.z-dn.net/?f=f%28-x%29%3D4%28-x%29%5E3-9%28-x%29%5C%5Cf%28-x%29%3D-4x%5E3%2B9x)
We can see from our answer for f(-x) that it is equal to -f(x). We can verify this below:
![-f(x)=-(4x^3-9x)\\-f(x)=-4x^3+9x](https://tex.z-dn.net/?f=-f%28x%29%3D-%284x%5E3-9x%29%5C%5C-f%28x%29%3D-4x%5E3%2B9x)
Since f(-x) = -f(x), our function f(x) is an odd function
Answer: 24 $100 bills, even though this will add up to more than 2324 dollars, it is the amount needed to cover the price
Step-by-step explanation: divide 2324 dollars by 100
Answer:
Step-by-step explanation:
In ΔBCA and ΔDCA,
BC ≅ CD Given
∠BCA ≅∠DCA Given
AC ≅ AC Reflexive property
ΔBCA ≅ ΔDCA S A S congruent
∵ BA ≅ AD CPCT {Corresponding part of congruent triangle}
Answer: There are 35152 different call letters are possible.
Step-by-step explanation:
Given : The call letters for all radio stations in the United States start with either a W (east of the Mississippi River) or a K (west of the Mississippi River) followed by three other letters that can be repeated.
i.e.The total characters = 4
The choices for first letter = 2 (either W or K)
The choices for rest of other letters = 26 (English alphabets has 26 letters)
Then, the number of different call letters are possible =2 x 26 x 26 x 26
=35152
Therefore , there are 35152 different call letters are possible.
0.16 that is the answer!!!!