Answer:
a) 2 b) 1 c) 7/6
Function a(x) = 2x + 3 has the greatest rate of change
Step-by-step explanation:
a(x) = 2x + 3
2(-1) + 3 = 1 (-1,1)
2(2) + 3 = 7 (2,7)
= 6/3
=2
b(x) = x^2 - 1
(-1)^2 - 1 = 0 (-1, 0)
(2)^2 - 1 = 3 (2,3)
= 3/3
=1
c(x) = 2^x + 1
2^(-1) + 1 = 1.5 (-1, 1.5)
2^(2) + 1 = 5 (2,5)
= 3.5/3 or 7/6
=7/6
Answer:
domain is {4,5,6,7,8}, range is the other numbers in brackets
Step-by-step explanation:
The biggest it can be is 110 by 110, and the area would be 2,100 ft.
Hope this helps!
Answer:
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
Step-by-step explanation:
Step 1
Express the angle of inclination as follows;
Tan∅=H/R
where;
∅=angle of inclination
H=vertical rise
R=distance of run
Step 2
Determine the angle inclination when;
H=3 feet
R=2 feet
replacing;
Tan∅=(3/2)=1.5
∅=Tan^(-1)(1.5)
∅=56.31°
Determine the angle inclination when;
H=5 feet
R=3 feet
replacing;
Tan∅=(5/3)=1.67
∅=Tan^(-1)(1.67)
∅=59.03°
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
