Answer:
-----------------------------------------
Given:
- Function f(x) = 2|x + 3| - 2
Find a function g which is a horizontal shrink by a factor of 1/3 of f(x).
Horizontal shrink by a factor of k is:
Apply this to the given function:
- g(x) = f(x : 1/3) = f(3x) = 2|3x + 3| - 2 = 6|x + 1| - 2
Answer:
<h2><em>11.6%</em></h2>
Step-by-step explanation:
The probability of getting a 6 is 1/6.
The probability of not getting a 6 is 5/6
We roll a die 4 times and want 2 sixes, and 2 not sixes.
i.e.exact 2 6's
We want a combination of 2 sixes from 4 rolls, so we can use the binomial formula to solve this
(4C2)(1/6)²(5/6)² = 6(1/36)(25/36) = (1/6)(25/36) = 25/216 = 0.1157
Nearest tenth of percent is 0.1157×100=11.6%
Ans :11.6%
7 - 2 (7) -8
7 - 14 - 8
7-14= -7
-7 - 8 = - 15
May have messed this one up
Answer:
C(x) =
Step-by-step explanation:
Data provided in the question:
Area of the field = 3600 square feet
Fencing charges = $3.50 per foot
Let the side along the river be 'x' feet and the other side of the 'B'
now,
Area of rectangle = Bx = 3600 square feet
or
B = feet
and total length to be fenced = x + 2B
therefore,
Total cost of fencing = Fencing charges × total length to be fenced
or
Total cost of fencing = $3.50 × ( x + 2B )
substituting the value of B from (1)
Total cost of fencing, C(x) =
or
C(x) =