Write (8a^-3)^2/3 in a simplest form. a. a^2/4 b. 4a^2 c. 1/4a^2 d. none of these
1 answer:
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I think you got confused with the 50 and 90.
Read my NOTE there it will surely help you answering other questions like this
Read my NOTE there it will surely help you answering other questions like this
Answer:
The growth value of the function is One-third ⇒ True (2nd)
The function shows exponential decay ⇒ True (3rd)
The function is a stretch of the function ⇒
True (4th)
Step-by-step explanation:
* <em>Lets revise the form of the exponential function</em>
- The general form of the exponential function is
where "a" is the initial amount and "b" is the growth factor
- If b > 1, then f(x) is exponential growth function
- If 0 < b < 1, then f(x) is exponential decay function
* <em>Lets solve the problem</em>
- The exponential function
∴ The initial value is 3
∴ The growth factor is
∵ The growth factor is less than 1
∴ f(x) is exponential decay function
* Lets chose the true statements
# The initial value of the function is One-third ⇒ Not true
because the initial value is 3
# The growth value of the function is One-third ⇒ True
because the growth factor is
# The function shows exponential decay ⇒ True
because the growth factor is less than 1
# The function is a stretch of the function
⇒ True
because stretched vertically means multiply f(x) by constant greater
than 1 and 3 is greater than 1
# The function is a shrink of the function ⇒ Not true
because the growth factor is not 3