If you have a quadratic equation in the form ax^2+bx+c
Step 1) Determine the product of AC (the coefficients in a quadratic equation)
Step 2) Determine what factors of a⋅ca⋅c sum to bb
Step 3) "ungroup" the middle term to become the sum of the factors found in step 2
Step 4) group the pairs.
Answer:
Formula of the volume for a cube= s^3 (side, length, width, or edge is acceptable for s)
Formula of the volume for a rectangular prism= lwh (length*width*height)
<u><em>= 50 cubic in. more</em></u>
Step-by-step explanation:
cube: 6^3
6x6x6
36x6
216
rectangular prism: 10x4x4
10x16
160
cube - rectangular prism= Difference between cube and rectangular prism
216 - 160 = 50
<em>*REMEMBER that when dealing with volume the units are cubic (whatever), in this case, its cubic inches(in^3).</em>
Answer:
Option B.
Step-by-step explanation:
Option A.
f(x) = 
Derivative of the given function,
f'(x) = 
= ![(0.5)^x[\text{ln}(0.5)]](https://tex.z-dn.net/?f=%280.5%29%5Ex%5B%5Ctext%7Bln%7D%280.5%29%5D)
= 
Since derivative of the function is negative, the given function is decreasing.
Option B. f(x) = 
f'(x) = 
= ![(5)^x[\text{ln}(5)]](https://tex.z-dn.net/?f=%285%29%5Ex%5B%5Ctext%7Bln%7D%285%29%5D)
= 
Since derivative is positive, given function is increasing.
Option C. f(x) = 
f'(x) = 
= 
= 
Since derivative is negative, given function is decreasing.
Option D. f(x) = 
f'(x) = ![-15^{-x}[\text{ln}(15)]](https://tex.z-dn.net/?f=-15%5E%7B-x%7D%5B%5Ctext%7Bln%7D%2815%29%5D)
= 
Since derivative is negative, given function is decreasing.
Option (B) is the answer.