Answer:
<h2>1. {x | 1 < x < 3}</h2>
Step-by-step explanation:
x + 2 < 5 <em>subtract 2 from both sides</em>
x + 2 - 2 < 5 - 2
x < 3
x - 7 > -6 <em>add 7 to both sides</em>
x > 1
From x < 3 and x > 1 we have 1 < x < 3
Answer:
x = 100 units
Step-by-step explanation:
C = 2.5x^2 + 75x + 25000
To find average cost per unit, divide C by x:
C/x or Average cost (AC) per unit =
= 2.5x + 75 + 25000/x ⇔ 2.5x + 75 + 25000x^-1 (equation 1)
To find cost minimising, we use differentiation (differentiate equation 1 in respect to x and set it equal to 0):
d(AC)/dx = 0
d(AC)/dx ⇔ 2.5 - 25000x^-2 = 0
2.5 = 25000x^-2
2.5 = ![\frac{25000}{x^2}](https://tex.z-dn.net/?f=%5Cfrac%7B25000%7D%7Bx%5E2%7D)
2.5x^2 = 25000
x^2 = 10000
x = ![\sqrt{10000}](https://tex.z-dn.net/?f=%5Csqrt%7B10000%7D)
x = 100 units
C : N : T
35 : 5 : 60
Which can the be simplified to:
7 : 1 : 12
(3) is the base of the new equation
(x + 5) is the answer of the new equation
(2) is the exponent on base (3)
;The new equation after simplifying is...,
; 3^2 = x + 5
; 9 = x + 5
; x = 9 - 5
;Hence...x = 4