To calculate the area of a square, just do length×width. In this case, it is 3×3, so the answer should be 9 square yards.
Answer:
Definitely A
Step-by-step explanation:
When multiplying you add exponents.

Answer:
- 1
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 5, 6 ] , then
f(b) = f(6) = 6² - 2(6) - 5 = 36 - 12 - 5 = 19
f(a) = f(- 5) = (- 5)² - 2(- 5) - 5 = 25 + 10 - 5 = 30
Then
average rate of change =
=
=
= - 1
6.
Josef receives 3$ per hour spent doing chores. So, after x hours of chores, he receives 3x dollars. This money must be added to the 10$ he would receive no matter what, so the total expression is

7.
We can test the options against the given patterns: in pattern 1, we have one black hexagon and 6 white hexagons. Let's see which equations fit: if we substitute b=1 and w=6 we have:
A)
- ok
B)
- wrong
C)
- ok
D)
- wrong
E)
- wrong
So, the only feasible answers are A or C, because all the other functions don't fit even the first pattern. Let's test the two survivors for pattern 2: we have two black hexagons and 8 white hexagons. Plugging b=2 and w=8 into A and C we have
A)
- wrong
C)
- ok
So, the answer is C, because it models correctly pattern 2 as well. For the sake of completeness, let's test this function against pattern 3 as well: we have 3 black and 10 white hexagons. Plugging b=3 and w=10 into C we have
C)
- ok
So, C models correctly all patterns, and thus describe the general rule.