Area = side AB * side BC  =  (5x + 5x + 3)(3x + 92x - 4)
= (10x + 3)(95x - 4) =  950x^2 - 40x + 285x - 12
=  950x^2 + 245x - 12  Answer
This cannot be negative  so restriction on x  is  950x^2 + 245x > 12
That is x > 0.0421
        
                    
             
        
        
        
Answer:
   32
Step-by-step explanation:
   
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The applicable rules of logarithms are ...
   log(ab/c) = log(a) +log(b) -log(c)
   log(a^b) = b·log(a)
 
        
             
        
        
        
Answer:
B) The maximum y-value of f(x) approaches 2
C) g(x) has the largest possible y-value
Step-by-step explanation:
f(x)=-5^x+2
f(x) is an exponential function.
Lim x→∞ f(x) = Lim x→∞ (-5^x+2) = -5^(∞)+2 = -∞+2→ Lim x→∞ f(x) = -∞
Lim x→ -∞ f(x) = Lim x→ -∞ (-5^x+2) = -5^(-∞)+2 = -1/5^∞+2 = -1/∞+2 = 0+2→
Lim x→ -∞ f(x) = 2
Then the maximun y-value of f(x) approaches 2
g(x)=-5x^2+2
g(x) is a quadratic function. The graph is a parabola
g(x)=ax^2+bx+c
a=-5<0, the parabola opens downward and has a maximum value at
x=-b/(2a)
b=0
c=2
x=-0/2(-5)
x=0/10
x=0
The maximum value is at x=0:
g(0)=-5(0)^2+2=-5(0)+2=0+2→g(0)=2
The maximum value of g(x) is 2