The scoring for a particular math contest that is all multiple choice is as follows: The student starts with an automatic 40 points. For each correct answer, the student receives 5 points. For each incorrect answer , the student loses 2 points this is done to prevent guessing ) . Jonathan participates in the contest. He answers x questions correctly and y questions incorrectly . Write an equation that could be used to calculate his final score

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:

44

step-by-step explanation:

the