Answer: f(2)=19
Step-by-step explanation:
F(2) = 3(2)3 -3(2) + 1
F(2) = 24 - 6 + 1
F(2) = 19
If you expand the left hand side, the inequality becomes

As you can see,
appears on both sides, which means that it cancels out. You can subtract
from both sides to get

and this is clearly always true. If you interpreted the inequality with words, it would sound like
"For which values of n is 18 greater than 8"
Since the inequality does not depend on n anymore and the remaining part is true (18 is indeed greater than 8), every possible value of n satisfies the inequality.
Answer:
39.407m
Step-by-step explanation:
sin 66deg = 36/length of cable
length of cable = 36/sin 66deg = 39.407m (5sf)
Harry drove 60mph on the freeway.
60mph x 5 = 300
40mph x 2 = 80
300+80= 380
Answer:
w = 9, l = 12
Step-by-step explanation:
If w is the width and l is the length, then:
l = 2w − 6
The area of the rectangle is width times length.
A = wl
Substituting and solving:
108 = w (2w − 6)
108 = 2w² − 6w
54 = w² − 3w
0 = w² − 3w − 54
0 = (w + 6) (w − 9)
w = -6 or 9
The width is 9, so the length is 12.