Step-by-step explanation:
(ax + b)² = a²x² + 2abx + b²
In this case, a = 1, so:
14 = 2b
b = 7
(x + 7)² = x² + 14x + 49
Answer:
6 swimmers in the first heat can be arranged in 1716 different ways.
Step-by-step explanation:
A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.
So to select 6 swimmers out of 13 contestants number of different ways
= 
= 
= 
= 
= 
= 1716
Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.
The correct answer is D) Miguel: d=23t+10, Gabby d=28t
We multiply the speed of each person by t, the amount of time. This is where the 23t in Miguel's equation and the 28t in Gabby's equation come from. The starting point is added to this, which leads to 23t+10 and 28t+0 or 28t.
Answer: 2.5 hours or 2 hr and 30 min
Step-by-step explanation:
We can set up an equation to find how many hours you can park.
2.5+4x=12.5
The 2.5 comes from the base fee. The 4x is the hourly rate, where x is hours. The 12.5 is the total amount of money you have.
Since we have our equation, we can solve for x.
4x=10
x=2.5
You can park for 2.5 hours, or 2 hours and 30 min.
The answer is 221.1 cubic inches
Using the equation V=lwh, and plugging in the numbers, you would get your answer of 221.1 cubic inches
V=lwh
V=16 3/4 x 3 x 4 2/5
V=221.1 cubic inches
