Solve the following equation for x: 1,000(x – 2) = 75,000 A. 7 B. 770 C. 7,700 D. 77

Answers

Answer 1
Answer: 1,000(x - 2) = 75,000    |divide both sides by 1,000

x - 2 = 75    |add 2 to both sides

x = 77

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Given the function f(x)=0.3(4)x
what is the value of
f−1(6)

a. 0.360
b. 1.242
c. 2.161
d. 2.312

Answers

For this case we have the following function:
 f (x) = 0.3 (4) ^ x
 Rewriting we have:
 y = 0.3 (4) ^ x
 From here, we clear the value of x:
 (4) ^ x = y / 0.3log4 ((4) ^ x) = log4 (y / 0.3)
 Rewriting we have:
 x = log4 (y / 0.3)
 Therefore, the inverse function is given by:
 f ^ {-1} (x) = log4 (x / 0.3)
 For x = 6 we have:
 f ^ {-1} (6) = log4 (6/0.3)f ^ {-1} (6) = 2.161
 Answer:
 
is the value of f^-1(6) is:
 
c. 2.161

f(x)=0.3(4)^x

f^-1(x) = ?

x = 0.3(4)^y

4^y = x/0.3

4^y = 6/0.3

4^y = 20

y = 2.161

A stone path through her backyard. She uses 25 equally-sized stones to make a path that is 12 feet long.How long is each stone?

Answers