Answer:
9
Step-by-step explanation:
All u have to do is think only about two denominators, 9 and 3
And then memorize the multiplication of any number out of these two, until u get a number which is divisible by the other number. Its like,
9×1= 9
i
is it divisible by 3?
9/3= 3
Oh yes, it is divisible by 3 with no remainings. So that is the least common denominator
Comparing x-1 with x-a then x=1
1^3+p*1^2-1-2=0
1+2p-3=0
2p=3-1
P=2/2
P=1
:.p=1
Work backward: Multiply out (x-8i) and (x+8i).
The product is x^2 - [64i^2], or x^2 - [-64], or x^2 + 64
This is equivalent to 1x^2 + 0x + 64, and so a=1, b=0 and c=64.
Prime factorization is finding wich prime numbers multiply together to make the original number
ex.. 2*3=6
2 and 3 are factors
The pile contains 12 nickels and 9 quarters.
Let <em>x</em> = the number of nickels and <em>y</em> = the number of quarters.
Then, we have two equations:
(1) $0.05x + $0.25y = $2.85
(2) x = y +3
Substitute the value of <em>x</em> from Equation (2) into Equation (1).
0.05(<em>y</em>+3) + 0.25<em>y</em> = 2.85
0.05<em>y</em> + 0.15 + 0.25<em>y</em> = 2.85
0.30<em>y</em> = 2.85 – 0.15 = 2.70
y = 2.70/0.30 = 9
Substitute the value of <em>y</em> in Equation (2).
x = 9 + 3 = 12
The pile contains 12 nickels and 9 quarters.
<em>Check</em>: 12×$0.05 + 9×$0.25 = $0.60 + $2.25 = $2.85.
