Answer:
6.
Step-by-step explanation:
This is [p(2+h)) - p(2) ] / ((2 + h - 2)
= [ 6(2) + h) + 7 - (6(2) + 7)] / h
= ( 12 + 6h + 7 - 12 - 7) / h
= 6h / h
= 6.
Answer: 59.5
Step-by-step explanation:
U(t) = 5.1t^2 − 1.7t
U'(t)=2*5.1t-1.7
U'(t)=10.2t-1.7
U'(6)=10.2(6)-1.7
U'(6)=61.2-1.7
U'(6)=59.5
the numbers are 6 and 13
let x be one of the numbers then the other is 2x + 1
their sum increased by 7 = 26
x + 2x + 1 + 7 = 26
3x + 8 = 26
subtract 8 from both sides
3x = 26 - 8 = 18
divide both sides by 3
x =
= 6
the numbers are 6 and (2 × 6) + 1 = 12 + 1 = 13
The solution for this problem is just simple. It tells you to find the area in square feet. Thus, convert the units to feet first. The conversion you need to know are: 12 in = 1 ft and 3 ft = 1 yard.
Width = 42 in * 1 ft/12 in = 3.5 ft
Length = 10 yards * 3 ft/1 yard = 30 ft
Area = Length*Width = 30*3.5
<em>Area = 105 ft²</em>