Answer:
Domain of the function → (-6, ∞)
Range of the function → (-∞, ∞)
Step-by-step explanation:
Domain of a function is the set of x-values of the function.
Similarly, Range of the function is the set of y-values.
From the graph attached,
Domain of the function → (-6, ∞)
x-values of the function starts from x = -6 (excluding x = -5) and tends to the positive infinity.
Range of the function → (-∞, ∞)
y-values starts from negative infinity and tends to positive infinity.
Answer:
47.5 Meters
Step-by-step explanation:
Find where the derivative changes from positive to negative (local maximum)
h(t)=
h'(t)=
Find where the derivative equals zero
Theres no spot where the derivative wont exist because its a polynomial.
-12t=-30
t=
Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.
Now plug into original equation
h(2.5)=
=-37.5+75+10
=47.5
Answer:
Step-by-step explanation:
d = 2r => r = d/2 = 16in/2 = 8 inches
V = Ab×h
= π·r²×h
= 3.14·(8in)²×5in
= 1004.8 in³
Answer:
.4 hours or 24 minutes
Step-by-step explanation:
We can use proprtions to solve this problem. Put distance over time
65 miles 26 miles
------------- = -----------
1 hour x hours
Using cross products
65x = 26
Divide by 65
65x/65 = 26/65
x = .4 hours
or we can change to minutes
.4 hours * 60 minutes/ 1 hour = 24 minutes
The twenty should be negative right ?
