a. By the product rule,


b. By the same rule,


and


c. You might recognize the coefficients as those that appear in the expansion of
:
1, 1
1, 2, 1
1, 3, 3, 1
1, 4, 6, 4, 1
and so on; the general pattern (known as the general Leibniz rule) is

-3(3h-1)<span>≤-7h-5
-9h+3</span><span>≤-7h-5
-9h+7h</span><span>≤-5-3
-2h</span><span>≤-8
h</span><span><span>≥</span>4
</span>Sign changes because you multiply with negative both sides.
Answer: B
Step-by-step explanation:
An ordered pair is another way of saying “point” or “coordinate”. Knowing that, we know A and C are expression and equation, respectively. We are left with B and D. We know that B is the correct answer because that is the proper way to write an ordered pair, or coordinate. Therefore, B is the answer.
Let's call the length of the rectangular fence
and the width of the rectangular fence
.
Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:


Now, let's substitute in the values we are given in the problem:


Now, let's solve the system using substitution.

- Solve for
from the first equation

- Substitute this value into the second equation


- Multiply both sides of the equation by


- Subtract
from both sides of the equation

and 
- Use the Zero Product Property and solve both factors


We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:


Thus, our answer is Choice C, or 10 feet by 24 feet.
Answer:5
Step-by-step explanation:
Add 6 and 4
2*10-3*5
Multiply 2 by 10
20-3*5
Multiply -3 by 5
20-15
Subtract 15 from 20
5