Answer:
Step-by-step explanation:
Given:
The function 'g(x)' is given as:
Now, the function 'f(x)' is given as:
So, the function 'f(x)' is a transformation of 'g(x)'.
In order to find f(x), we replace 'x' by 
in the 'g(x)' function equation. This gives,
Using the identity 
, we get:
Hence the function f(x) is given as:
Answer:
Fraction models can help clarify ideas that are often confused in a purely symbolic mode and construct mental terms that help them to perform fraction tasks meaningfully.
Step-by-step explanation:
Answer:
He must work 52 days to pay for a single ticket.
Step-by-step explanation:
This question can be solved using proportions.
Per hour:
Joel earns $7.25 per hour, 20% of which is deducted for taxes. So without taxes, in each hour, he earns 100%-20% of 80% of this, so 0.8*7.25 = $5.8.
Per day:
He works 9 a.m. to 5 p.m. each day, so 8 hours a day.
For each hour, he earns $5.8.
So in a day, he makes 8*5.8 = $46.4
How many days he must work:
The ticket costs $2400.
He makes $46.4 a day.
So, to buy a ticket, he needs to work:
2400/46.4 = 51.7 days
Rounding up
He must work 52 days to pay for a single ticket.
The value of x equals 30.
Step by Step explanation:
All sides are equal so you know the angle lengths are equal. When you multiple 2x by 3 you get 6x. All angles of a triangle add up to 180 so you divide 180 by 6 and you get 30. Hope This Helps!
