The old photocopier can make x manuals in an hour. The new photocopier can make 4x. Combined, they made 5x manuals in an hour.
In one hour they can make 1/28 of the manuals.
1/(28*5)=1/140 is the rate.
The new photocopier can make all the manuals in 4/140 or 35 hours.
The old one can make them in 140 hours.
Answer:
No, the given polynomial is not prime.
Step-by-step explanation:
Given: a polynomial 
To check: whether the given polynomial is prime or not.
Solution:
A prime polynomial is a polynomial that cannot be factored into polynomials of lower degree and has integers as coefficients.
In the given polynomial, coefficients are integers.
Also, the polynomial cannot be factored further into polynomials of lower degree.
So, the given polynomial is not prime.
The height of the container be so as to minimize cost will be 1.20. inches.
<h3>How to calculate the height?</h3>
The volume of the box will be:
= 2x × 3x × h
= 6x²h
Volume = 6x²h
12 = 6x²h
h = 2x²
The cost function will be:
C = 2.60(2)(6x²) + 4.30(12x)h
C = 31.2x² + 51.6xh
Taking the derivative
62.4x + 51.6h
h = 1.20
Therefore, the height of the container be so as to minimize cost will be 1.20 inches.
Learn more about height on:
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Multiply 44580 by .47
that gives you 20952.6 which equals 47% of the water
take the 44580, and subtract the 20952.6
giving you the remainder as your answer
23627.4
