Given:
The function is:
![y=3x^3-5x^2-11x-3](https://tex.z-dn.net/?f=y%3D3x%5E3-5x%5E2-11x-3)
It is given that -1 is a zero of the given function.
To find:
The other zeroes of the given function.
Solution:
If c is a zero of a polynomial P(x), then (x-c) is a factor of the polynomial.
It is given that -1 is a zero of the given function. So,
is a factor of the given function.
We have,
![y=3x^3-5x^2-11x-3](https://tex.z-dn.net/?f=y%3D3x%5E3-5x%5E2-11x-3)
Split the middle terms in such a way so that we get (x+1) as a factor.
![y=3x^3+3x^2-8x^2-8x-3x-3](https://tex.z-dn.net/?f=y%3D3x%5E3%2B3x%5E2-8x%5E2-8x-3x-3)
![y=3x^2(x+1)-8x(x+1)-3(x+1)](https://tex.z-dn.net/?f=y%3D3x%5E2%28x%2B1%29-8x%28x%2B1%29-3%28x%2B1%29)
![y=(x+1)(3x^2-8x-3)](https://tex.z-dn.net/?f=y%3D%28x%2B1%29%283x%5E2-8x-3%29)
Again splitting the middle term, we get
![y=(x+1)(3x^2-9x+x-3)](https://tex.z-dn.net/?f=y%3D%28x%2B1%29%283x%5E2-9x%2Bx-3%29)
![y=(x+1)(3x(x-3)+1(x-3))](https://tex.z-dn.net/?f=y%3D%28x%2B1%29%283x%28x-3%29%2B1%28x-3%29%29)
![y=(x+1)(3x+1)(x-3)](https://tex.z-dn.net/?f=y%3D%28x%2B1%29%283x%2B1%29%28x-3%29)
For zeroes,
.
![(x+1)(3x+1)(x-3)=0](https://tex.z-dn.net/?f=%28x%2B1%29%283x%2B1%29%28x-3%29%3D0)
and
and ![x-3=0](https://tex.z-dn.net/?f=x-3%3D0)
and
and ![x=3](https://tex.z-dn.net/?f=x%3D3)
Therefore, the other two zeroes of the given function are
and
.
First you need to determine which type of sequence is this. Because the difference between 2 successive numbers is constant and it is equal to 10 this sequence is geometric one.
d = 10
To calculate what is the value of some member of this sequence you use formula:
An = Ao + (n-1)*d
where n represents position of element An, Ao is value of first element in the sequence.
Replacing values we get:
A110 = -7 + 109*10
A110 = 1083.
answer and how to do it
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (−5,0)
y-intercept(s): (0,−52)
answer is (-5,-52)
Answer:
use the app socratic it’s step by step .
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
Original price = $16
Discount value = $12
% discount = Discount Value / Original Price x 100%
= (12/16) x 100
= 75%