Express 38% as a fraction in simplest form.
2 answers:
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Answer:
<h3>A. </h3>- log
= log 3
- x³ log x = log 3
- 3x³ log x = 3 log 3
- x³ log x³ = log 3³
= 3³
- x³ = 3
- x =
- 4ˣ + 6ˣ = 9ˣ
- 2²ˣ + 2ˣ3ˣ = 3²ˣ
<u>Divide both sides by 2²ˣ</u>
- 1 + (3/2)ˣ = (3/2)²ˣ
<u>Substitute (3/2)ˣ = t</u>
- t² - t - 1 = 0
<u>Solve for t:</u>
- t = (1 ± √5)/2
<u>Positive root is considered as (3/2)ˣ can't be negative.</u>
- (3/2)ˣ = (1 + √5)/2
- x = log [(1 + √5)/2] / log (3/2)
- x = 1.18681439028
The table in Part A represents y as a function of x. This means that the value of Y is dependent on the value of X. The table can be represented by an equation that describes the relation of X and Y:
or 
By substituting any value of X, you get a specific value of Y based from the given relationship, thus Y is a function of X.
For Part B, the value of f(150) is $470 and it represents the total cost for borrowing a rowboat for 150 hours. By substituting the value of x = 150 into the function, you get the total cost:
By substituting any value of X, you get a specific value of Y based from the given relationship, thus Y is a function of X.
For Part B, the value of f(150) is $470 and it represents the total cost for borrowing a rowboat for 150 hours. By substituting the value of x = 150 into the function, you get the total cost: