Answer:
35x + 114
12
Step-by-step explanation:
(-1/3x + 9.5) + x(3/4 + 2.5)
(-1/3x + 95/10) + x(3/4 + 25/10)
(-x/3 + 5 × 19/2 × 5) + x(3/2² + 5²/2 × 5)
(-x/3 + 19/2) + x(3/2² + 5²⁻¹/2)
(2(-x) + 3 × 19/ 3 × 2) + x(3/2² + 5/2)
(-2x + 57/3 × 2) + x(3 + 2 × 5/2²)
-2x + 57/3 × 2 + x(3 + 2 × 5/2²)
-2x + 57/3 × 2 + x(13/2²)
-2x + 57/3 × 2 + x × 13/2²
-2x + 57/3 × 2 + 13x/2²
2(-2x + 57) + 3(13x)/3 × 2²
2(-2x + 57) + 3 × 13x/3 × 2²
2(-2x + 57) + 39x/3 × 2²
(-2 × 2x + 2 × 57) + 39x/3 × 2²
(-4x + 114) + 39x/3 × 2²
-4x + 114 + 39x/3 × 2²
-4x + 39x + 114/3 × 2²
35x + 114/3 × 2²
35x + 114/3 × 4
35x + 114/12
Answer:
f(-14) = -6
f(-4) = 6
f(12) = 6
f(0) = -3
negative
Step-by-step explanation:
f(-14) = -6
This is because when x is -14, y is -6, as seen in the graph
f(-4) = 6
This is because when x is -4, y is 6, as seen in the graph
f(12) = 6
This is because when x is 12, y is 6, as seen in the graph
f(0) = -3
This is because when x is 0, y is -3, as seen in the graph
is f(4) positive or negative?
negative
This is because when x is 4, y is -6, as seen in the graph
Answer:

Step-by-step explanation:
Slope-intercept form equation is given as 
Where,
y = distance remaining
x = hours driven
m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.
b = y-intercept, which is the initial value or the distance between the cities = 420
Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:

It’s gotta be C since the “b” term in the equation shows the y intercept; -3 is less than the rest. Don’t listen to the other guy commenting here!
Probability of people liking comedy movies = 1/6
Hence,
If total number of people are 90, then the number of people liking comedy movies = 90/6 = 15
If total number of people are 180, then the number of people liking comedy movies = 180/6 = 30
If total number of people are 270, then the number of people liking comedy movies = 270/6 = 45
If total number of people are 360, then the number of people liking comedy movies = 360/6 = 60
Let the x-axis represent the total number of people and,
The y-axis represent the number of people liking comedy films.
The function will be :-
f(x) = x/6 , where x is the total number of people.
The graph is attached.