Answer:
b = 5
Explanation:
add both of the equations together
3a - c = 5b
3a + 3b - c = 40
= 3b = 40 - 5b
then make it equal to 40 meaning
8b = 40
b = 5
Answer:
4.13×10^22 atoms
Explanation:
1. Find number of moles
mole=mass/rmm of compound
mole= 3.50/102
mole= 7/204 mol
2. Multiply it with avagadros constant( 6.02×10^23 particles)
7/204 × 6.02×10^23= 2.0657×10^22
3. Multiply it with the number of ALMINIUM ATOMS IN AL203( which is 2 atoms)
2.0657×10^22 × 2
you get 4.13×10^22 atoms
Answer:
There are two rational roots for f(x)
Explanation:
We are given a function
f(x) = x^6-2x^4-5x^2+6f(x)=x6−2x4−5x2+6
To find the number of rational roots for f(x).
Let us use remainder theorem that when
f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.
Substitute 1 for x
f(1) = 1-2-5+6=0
Hence x=1 is one solution.
Let us try x=-1
f(-1) = 1-2-5+6 =0
So x =-1 is also a solution and x+1 is a factor
We can write f(x) by trial and error as
f(x) = (x-1)(x+1)(x^2-3)f(x)=(x−1)(x+1)(x2−3)
We find that f(x) (x^2-3)f(x)(x2−3) factor gives two irrational solutions as
±√3.
Hence number of rational roots are 2.
Data given:
Robbie: 15% more than Rebecca:220 movies, which is 10% more than Joshua
Robbie=?
Joshua=?
Solution:
Robbie:
220+(220/10+220/5)=220+(22+11)=253 movies
Joshua:
220-(220/10)=220-22=198 movies
