What is the quotient of (2x3 – 29x + 13) ÷ (x + 4)?
1 answer:
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Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.
Since a total of 47 hats where purchased, hence:
x + y + z = 47 (1)
Also, he spent a total of $302, hence:
5.5x + 6y + 7z = 302 (2)
He purchases three times as many medium hats as small hats, hence:
y = 3x
-x + 3y = 0 (3)
Represent equations 1, 2 and 3 in matrix form gives:
Therefore he purchases 6 small hats, 18 medium hats and 23 large hats
Answer:
-1 is the inverse of 16 modulo 17.
Step-by-step explanation:
To find : An inverse of 16 modulo 17 i.e. ?
Solution :
First we find the GCD of (17,16) using Euclid's algorithm,
Remainder is 1.
Which means, GCD(17,16)=1
Using back substitution we get,
i.e. -1 is the inverse of 16 modulo 17.
On comparing with
The value of x=-1.