Part A: y-intercept = 12 miles
Part B: Find the average rate of change: 36 - 20/2 = 16/2 = 8 mph
This tells us that the bird can travel long distances.
Part C: 172 - 12 = 160 miles at a rate of 8 mph
160 mi ÷ 8mph = 20 hrs
Domain of function = 0 ≤ x ≤ 20
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This response is based upon your having had some background in calculus. "dx" is not introduced before that.
Take a look at the sample function y = f(x) = x^2 + 9. Here x is the independent variable; the dependent variable y changes with x.
Now, for a big jump: we consider finding the area under a curve (graph) between x = a and x = b. We subdivide that interval [a,b] into n vertical slices of area. Each of those slices has its own area: f(x)*dx, where dx represents the width of such subarea. f(x)*dx is the actual subarea. To find the total area under the curve f(x) between x= a and x = b, we add up all of these individual subareas between x = a and x = b. Note that the subinterval width is
b-a
dx = ---------- , and that dx becomes smaller and smaller as the number of
n subintervals increases.
Once again, this all makes sense only if you've begun calculus (particularly integral calculus). Do not try to relate it to earlier math courses.
Answer:
see beleow
Step-by-step explanation:
Let's solve your equation step-by-step.
5.1+2.3x=23.5
Step 1: Simplify both sides of the equation.
2.3x+5.1=23.5
Step 2: Subtract 5.1 from both sides.
2.3x+5.1−5.1=23.5−5.1
2.3x=18.4
Step 3: Divide both sides by 2.3.
2.3x
2.3
=
18.4
2.3
x=8
Answer:
x=8
Answer:
2 books
Step-by-step explanation:
1+1=2
