D. <span>F(x) = 7x − 105 because however many cars they wash and the amount of money they gain from it, they will still have a combined $105 to spend on the supplies and space.</span>
The rate of change of a function can be modeled with the following expression:

Where Δx is the change in x value, and Δk(x) is the corresponding change in k(x). We're given the two extremes of x, so we can calculate the change in x to be

To find the change in k(x), we can calculate the values of k(x) at x = -14 and x = -4 and find the difference between them:

So, the rate of change for the function from x = -14 to x = -4 is
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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Answer: B or D
Step-by-step explanation:
Karens ration is 5:15 whilst chens is 6:19
1/3 of 15 is gonna be 5, while 19 is gonna be around 6.3
I got 1/3 cause there is 3 colors, and red is one of them, since the question is asking about the total. I would be leaning more towards B though.