What’s the answer to 4.5x+144

David is the coach of the Bingtown Cougars hockey team. There are 2 minutes left in the game they are playing and they are currently losing by 1 point. In the past, when losing by 1 point, he has pulled the goalie out of the game and replaced the goalie with a forward player a total of 21 times. When in the same position, he has left the goalie in the game 14 times.

In the situations when he has pulled the goalie, they have lost 7 times, tied 8 times, and won 6 times. In the situations when he has left the goalie in the game, they have lost 8 times, tied 2 times, and won 4 times.

Based on these numbers, if the goal is to either tie or win the game, should he pull the goalie or not?

A.  

David should pull his goalie.

B.  

There is not enough information to determine if he should pull his goalie or not.

C.  

Neither option has any advantage.

D.  

David should not pull his goalie.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: