1. Use difference of squares: a^2-b^2=(a+b)(a-b)
(a^3)^2-8^2
2. Use power rule: (x^a)^b=x^(ab)
a^6-8^2
3. Simplify 8^2 to 64
a^6-64
Your answer is d.
The correct answer is B. 120
Total number of possible outcomes = 36
Total number of outcomes with sum 9 = 4
{3, 6} (4, 5) {5, 4} (6, 3}
P(Sum = 9) = 4/36 = 1/9
Answer: 1/9
Let's first define the variables:
x = width
300 - 2x = long
The area will be:
A = (x) * (300 - 2x)
A = 300x - 2x²
We look for the maximum area, for this, we derive:
A '= 300 - 4x
We match zero:
0 = 300 - 4x
x = 300/4 = 75
Therefore, the width is:
x = 75 feet
The length is:
300 - 2x = 300 - 2 (75) = 300-150
150 feet
Answer:
Part A:
The maximum area will be:
A = (150) * (75) = 11250 square feet
Part B:
The dimensions are:
Length = 150 feet
width = 75 feet
Answer:
C. Up.
Step-by-step explanation:
We have been given that the parent function 
is transformed to the function 
. We are asked to describe the given transformation.
Let us recall the transformation rules.
,
,
,
.
Upon comparing our transformed function with the parent function, we can see that the graph is shifted to left by 7 units and upwards by 5 units.
Therefore the correct choice is option C.
