Take the derivative:
g’(x) = 12x^3 - 24x^2
Set equal to zero and solve:
0 = 12x^3 - 24x^2
0 = 12x^2 (x - 2)
x = 0 or x = 2
Plug back into original
g(0) = 3(0^4) - 8(0^3)
g(0) = 0 - 0
g(0) = 0
g(2) = 3(2^2) - 8(2^3)
g(2) = 3(4) - 8(8)
g(2) = 12 - 64
g(2) = -52
There is an absolute max at (0,0) or when x = 0
        
             
        
        
        
Answer:
So ofc it's third
Step-by-step explanation:
You'll need to use the Pythagorean theorem:
a²+b²=c²
36² + 15² = c²
1296 + 225 = c²
1521 = c²
 = 39
 = 39
 
        
                    
             
        
        
        
Hello!
Since there are five short-answer questions and she randomly selects one for a quiz, this can be written as 1/5 because there are 5 choices, but only one can be selected. 
Therefore, the probability that she will select question #3 is a 1/5 or 0.2 chance. 
 
        
             
        
        
        
Answer:
The price of a package of chocolate chip is $13.25 
The price of a package of gingerbread is $17.18
Step-by-step explanation:
11x + 12y = 352
10x +8y = 270
Let "x" be the price of a package of chocolate chip.
Let "y" be the price of a package of gingerbread.
11x + 12y = 352(Multiply the 1st row by 10)
10x +8y = 270 (Multiply the 2nd row by 11)
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110x + 120y = 3520
110x +88y = 2970
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         3y = 550
y =550/3
y = 17.1875
The price of a package of gingerbread "y" is $17.18
Let's pick the first equation "110x + 120y = 3520"
110x + 120y = 3520
110x+ 120(17.1875)= 3520
110x+2062.5=3520
110x=3520−2062.5
110x=1457.5
x= 1457.5/110
x=13.25
The price of a package of chocolate chip is $13.25 
 
        
             
        
        
        
the answer to 54,000 x 10 is 540,000