Answer:
Part 1) The rate of change is 
Part 2) The initial value is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to
we have the points
(3,13) and (6,14)
substitute the values in the formula
therefore
The rate of change is
step 2
Find the initial value
we have
substitute in the equation
solve for b
---> initial value
The linear equation is equal to
The y-intercept or initial value is 12
Answer:
5
Step-by-step explanation:
Create an equation 9.99+0.35t≤12
solve for t
Use pythagorean therom, so A^2 would be 12 since it’s the same lengths the square sides, and C^2 is 20. X= 16
Answer:
24 ft
Step-by-step explanation:
Use proportions! The old tent has sides of 10ft, and a base of 15ft. The new tent has sides of 16ft and a base of ____ ft.
So, 10/15 = 16/___. Cross multiple and you get 24ft!
<h3>
Answer: Choice B</h3>
Explanation:
Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.
Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.
Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.
Choice D is ruled out for similar reasoning as choice A. Recall that 
