Answer:
f-1(x) = log2 [ (x + 4)/3 ] - 3.
Step-by-step explanation:
Let y = 3(2^(x+3) - 4
3(2^(x + 3) = y + 4
2^(x + 3) = (y + 4)/3
x + 3 = log2 [(y + 4)/3]
x = log2 [ (y + 4)/3 ] - 3
Inverse f-1(x) = log2 [ (x + 4)/3 ] - 3
Answer:
w ≥ 6
l ≥ 11
Step-by-step explanation:
The perimeter of a rectangle is equal to P = 2l+2w where l=length and w=width. Here the length is 5 feet longer than the width or 5+w. This means the width is w. Substitute P = 34, l=5+w and w into the perimeter equation. Then solve for w.
34 ≤ 2*(5+w) + 2w
34 ≤ 10+2w+2w
34 ≤ 10+4w
24 ≤ 4w
6 ≤ w
This means the width must be at least 6 so the solution is w ≥ 6.
To find the length substitute 6 into l ≤ 5+w.
l ≤ 5 + 6
l ≤ 11
The length is l ≥ 11.
Answer:
correct answer is A. because the square root of 122 is 11.06 which means its between 11 and 12, not 10 and 11
Step-by-step explanation:
The answer is <span>13584.1129633 which simplified is 13584 :)</span>