9. a pool cleaning company determines their monthly profit from the function below. p(x)=6.4x² - 26x if x…

9. a pool cleaning company determines their monthly profit from the function below. p(x)=6.4x² - 26x if x represents the number of pools cleaned in a month, what will the monthly profit be if the company cleans 46 pools?

9. a pool cleaning company determines their monthly profit from the function below. p(x)=6.4x² - 26x if x represents the number of pools cleaned in a month, what will the monthly profit be if the company cleans 46 pools?

Answer

Explanation:

Step1: Substitute x value

Substitute $x = 46$ into $p(x)=6.4x^{2}-26x$. $p(46)=6.4\times46^{2}-26\times46$

Step2: Calculate $46^{2}$

$46^{2}=46\times46 = 2116$. $p(46)=6.4\times2116-26\times46$

Step3: Calculate multiplications

$6.4\times2116 = 13542.4$ and $26\times46=1196$. $p(46)=13542.4 - 1196$

Step4: Calculate subtraction

$p(46)=12346.4$

Answer:

$12346.4$