77(7) = 539, the total points of all her tests
539 - 18 + 81 = correct total points = 602
602/7 = 86 which is the new average
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:
g(-5) = 15
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
g(-5) = -2(-5) +5 = 10 +5
g(-5) = 15
Answer:

Step-by-step explanation:
Given the initial ratio of 3 parts water to 5 parts fruit juice, you can set up a proportion (equivalent ratios) to determine the amount of water needed with just 1 part of fruit juice:

cross multiply: 5x = 3
divide: 5x/5 = 3/5 or x = 3/5
3/5 = 0.6 parts water