This graph shows a proportional relationship. What is the constant of proportionality? Enter your answer as a ratio in simplified form in the box.
4x-4>20
Step 1: Add four to both sides
4x-4+4>20+4
4x>24
Step 2: Divide both sides by 4
4x divided by 4 and 24 divided by 4
Answer: x>6
Kahal accidentally subtracted instead of adding. He made a mistake in step 2.
Answer:

Step-by-step explanation:
Composition of functions occurs when we have two functions normally written similar or exactly like f(x) & g(x) - you can have any coefficients to the (x), but the most commonly seen are f(x) and g(x). They are written as either f(g(x)) or (f o g)(x). Because our composition is written as
, we are replacing the x values in the g(x) function with 2 and simplifying the expression.


Now, because we are composing the functions, this value we have solved for now replaces the x-values in the f(x) function. So, f(x) becomes f(6), and we use the same manner as above to simplify.



Therefore, when we compose the functions, our final answer is
.
<span>To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
- There are 75 classmates.
- 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music.
2. Therefore, you have:
- Number of his classmates that likes salsa music:
75x0.56=42
- Number of his r</span>elatives that like salsa music:
60x0.80=48
3. Then you have:
48-42=6
Therefore, the answer is: 6.
Answer:
= - 5n - 2
Step-by-step explanation:
There is a common difference between consecutive terms, that is
- 12 - (- 7) = - 17 - (- 12) = - 5
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7 and d = - 5, then
= - 7 - 5(n - 1) = - 7 - 5n + 5 = - 5n - 2