9514 1404 393
Answer:
x ≈ 0.309906932381 or 4
Step-by-step explanation:
There are no algebraic methods of solving a mixed exponential and polynomial equation. The value of x can be found by guessing, or by other means such as trial and error or graphing.
Attached is a graph showing two solutions. x = 4 is the integer solution (2^4 = 4·4). The irrational solution is approximately x ≈ 0.309906932381. That precision is obtained by Newton's method iteration, easily done by a graphing calculator.
Write the hours as ratio
Carrie : Jerry
2 : 5
Put this ratio in words, we say 'for every two hours Carrie takes to inspect a case, Jerry would need 5 hours'
Carrie has done 30 minutes on a case before taking a break. It means Carrie has 1.5 hours left on the case if she was to continue it.
We need to work out the proportion of the time Jerry would take in comparison to 1.5 hours that Carrie would have taken.
First, we divide 2 by 1.5 ⇒

Then we divide 5 by 4/3 ⇒

hours
Jerry would have taken 3.75 hours to finish the rest of the case
Mean Absolute Deviation = 2.5
Answer:
Non-proportional.
Step-by-step explanation:
Membership fee of Rub-a-Dub Carwash = $100
Cost of every car wash in his visit = $12
Total payment Devon has to make in x car washes = $(12x + 100)
Graph of the relation between "total payment" and "number of visits", doesn't pass through origin. (having y-intercept = 100)
While for proportional relationship graph should pass through origin.
Therefore, this relationship is non-proportional.
Any natural or whole number works I believe. 1,2,3,4,5,6,7,8,9,10,11etc. Hope this helps