Answer:
25
Step-by-step explanation:
From the given information;
Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.
= 1000x
Thus, the required number of hours it will take can be computed as:
cost per hour = 125
If each plate costs $20 to make, then the total number of plate will equal to 40x
∴
The total cost can be computed as:
At C'(x) = 0
x = 25
where; x = 25
C''(x) = 1.6
Thus, at x = 25, C'' > 0
As such, to minimize the cost, the printer needs to make 25 metal plates.
F (x) = x^2 - 2x + 1
f (x) = (-2)^2 - 2(-2) + 1
= 4 + 4 + 1
= 9
f (x) = ( 0 )^2 - 2 (0) + 1
= 0 - 0 + 1
= 1
0 = x^2 - 2x + 1
x^2 = 2x - 1 = 1
f (2) = 2^2 - 2(2) + 1
= 4 - 4 + 1
= 1
f (3) = 3^2 - 2(3) + 1
= 9 - 6 + 1
= 3 + 1
= 4
Answer:
0.1349
Step-by-step explanation:
Given that:
Sample size, n = 500
20% of 500 ; 0.2 * 500 = 100
p = 0.18 ; n = 500 ; 1 - p = 0.82
P(x ≥ 100) ;
Using the binomial probability relation :
P(x =x) = nCx * p(x)^x * (1 - p)^(n - x
P(x ≥ 100) = 500C100 * 0.18^100 * 0.82^400
P(x ≥ 100) = 0.1349
Simplify the following polynomial expression:
(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)
Lets Simplify Your Equation, Step by Step:
(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)
Solution: ===> 5x^4 − 37x^3 − 6x^2 + 41x − 6 = 0
Distribute:
= 5x^4 + -9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7
Combine Like Terms:
= 5x^4 + −9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7
= (5x^4 + −8x^4 +8x^4) + (−9x^3 + −28x^3) +(4x^2+ −10x^2) +(7x + −3x + 37x)+(−1 + 2 + −7)
= 5x^4 + −37x^3 + −6x^2 + 41x + − 6
Hence, Answer:
= 5x^4 −37x^3 −6x^2 + 41x − 6 = 0
Hope that helps!!!! : )
