Answer:
The answer is 12a^3+2a²+23a+18 ....
Step-by-step explanation:
The given terms are:
(3a + 2)(4a² - 2a + 9)
Now multiply each value of second bracket with the first bracket:
=4a²(3a+2) -2a(3a+2)+9(3a+2)
=12a^3+8a²-6a²-4a+27a+18
Solve the like terms:
=12a^3+2a²+23a+18
Therefore the answer is 12a^3+2a²+23a+18 ....
Answer:
Step-by-step explanation:
Th correct one is the third box
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Yes, I'm relatively sure any number can be written in scientific notation.
Answer:
B. 7.3 years
Step-by-step explanation:
The question is wrong. The correct function is :
We have the function 
that represents the value of a piece of farm equipment after 
years.
This means that when 
its original value is :
Now we want to calculate approximately when will its value be half its original value. Then, we write :
is half of its original value. We need to find that satisfies the following equation :
Solving for :
⇒
Now we apply natural logarithm to each side of the equation :
![ln(0.5)=ln[(0.91)^{x}]](https://tex.z-dn.net/?f=ln%280.5%29%3Dln%5B%280.91%29%5E%7Bx%7D%5D)
Using logarithm properties :
⇒
![ln(0.5)=x[ln(0.91)]](https://tex.z-dn.net/?f=ln%280.5%29%3Dx%5Bln%280.91%29%5D)
⇒
≅ 
The correct option is B. 7.3 years
