Answer:
Step-by-step explanation:
65.97in
Answer:
Step-by-step explanation:
P = {x : x is a real number between 2 and 7}
{x: 3,4,5,6}
Q = {x : x is all rational number between 2 and 7}
{4 }
We know that P contains all the rational numbers between 2 and 7.
And P ∪ Q and Q ∪ P each of them contain all the real numbers which are between 2 and 7.
{3,4,5,6}
Here Q is the proper subset of P
P ∩ Q = Q ∩ P = Q= {4}
Answer:
52 weeks
Step-by-step explanation:
The club starting with $270 (club 1) is increasing their bank balance each week by ...
... $280 -270 = $10
The club starting with $10 (club 2) is increasing their bank balance each week by ...
... $25 -10 = $15
Club 2 is gaining on Club 1 by $15 -10 = $5 each week. So, the initial difference of $270 -10 = $260 will be overcome in ...
... $260/($5/week) = 52 weeks
_____
The same result is shown in the attached graph, which also shows that both clubs' bank balances will be $790 at that time.
<span>f(x) = x² + 4x
so
</span><span>f(-2) = (-2)² + 4(-2)
f(-2) = 4 - 8
f(-2) = -4
answer
-4</span>
The product of given polynomials is: ![3x^5+15x^4-16x^3-3x^2+6x-2](https://tex.z-dn.net/?f=3x%5E5%2B15x%5E4-16x%5E3-3x%5E2%2B6x-2)
Step-by-step explanation:
Given polynomials are:
![(x^3+3x^2+1)\\and\\(3x^2+6x-2)](https://tex.z-dn.net/?f=%28x%5E3%2B3x%5E2%2B1%29%5C%5Cand%5C%5C%283x%5E2%2B6x-2%29)
In order to multiply both polynomials, we will use the distributive property
So,
![= (x^3+3x^2+1)(3x^2+6x-2)\\=x^3(3x^2+6x-2)+3x^2(3x^2+6x-2)+1(3x^2+6x-2)\\=3x^5+6x^4-2x^3+9x^4+18x^3-6x^2+3x^2+6x-2](https://tex.z-dn.net/?f=%3D%20%28x%5E3%2B3x%5E2%2B1%29%283x%5E2%2B6x-2%29%5C%5C%3Dx%5E3%283x%5E2%2B6x-2%29%2B3x%5E2%283x%5E2%2B6x-2%29%2B1%283x%5E2%2B6x-2%29%5C%5C%3D3x%5E5%2B6x%5E4-2x%5E3%2B9x%5E4%2B18x%5E3-6x%5E2%2B3x%5E2%2B6x-2)
Combining like terms
![=3x^5+6x^4+9x^4-2x^3+18x^3+3x^2-6x^2+6x-2\\=3x^5+15x^4-16x^3-3x^2+6x-2](https://tex.z-dn.net/?f=%3D3x%5E5%2B6x%5E4%2B9x%5E4-2x%5E3%2B18x%5E3%2B3x%5E2-6x%5E2%2B6x-2%5C%5C%3D3x%5E5%2B15x%5E4-16x%5E3-3x%5E2%2B6x-2)
Hence,
The product of given polynomials is: ![3x^5+15x^4-16x^3-3x^2+6x-2](https://tex.z-dn.net/?f=3x%5E5%2B15x%5E4-16x%5E3-3x%5E2%2B6x-2)
Keywords: Polynomials, variables
Learn more about polynomials at:
#LearnwithBrainly