The two consecutive integers can be represented by x and x+1.
x+(x+1)=71
Combine like terms
2x+1=71
Subtract 1 from both sides
2x=70
Divide both sides by 2
x=35
Final answer: 35, 36
A function is differentiable if you can find the derivative at every point in its domain. In the case of f(x) = |x+2|, the function wouldn't be considered differentiable unless you specified a certain sub-interval such as (5,9) that doesn't include x = -2. Without clarifying the interval, the entire function overall is not differentiable even if there's only one point at issue here (because again we look at the entire domain). Though to be fair, you could easily say "the function f(x) = |x+2| is differentiable everywhere but x = -2" and would be correct. So it just depends on your wording really.
Answer:
y=250x+2000
Step-by-step explanation:
The farmer starts with 2000 trees and adds 250 each year.
Year 0 2000
Year 1 2000 + 250 = 2000+ 1(250)
Year 2 2000 + 250 +250 = 2000 + 2(250)
Year 3 2000 + 250 + 250 + 250 = 2000 + 3(250)
Year 4 2000 + 250 + 250 + 250 + 250 = 2000 + 4 (250)
.....
Year X 2000 + 250x
From the right triangle formed, the adjacent side to the angle of elevation is 5 miles and the vertical change in elevation is the opposite side. From the trigonometric function, tangent of an angle,
tan 12° = x / 5 miles
The value of x from the equation is 1.06 miles. Thus, the vertical change in elevation is 1.06 miles.
