1. Given the functions f(x)=3x-4 and g(x)=4x+10, find the value of x for which f(x) = g(x)
2 answers:
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<u>Given</u>:
The given function which models the value of Mark’s car, where x represents the number of years since he purchased the car.
We need to determine the approximate value of Mark's car after 7 years.
<u>Value of the car:</u>
The value of the car after 7 years can be determined by substituting x = 7 in the function , we get;
Rounding off to the nearest dollar, we get;
Thus, the approximate value of Mark's car after 7 years is $14278.
Hence, Option a is the correct answer.
The question is incomplete. The complete question is :
A local movie theater is trying to find the best price at which to sell popcorn To reach its goal of making at least 550,000 from popcorn sales this year, the theater decided to hire a consulting firm to analyze its business The firm determined that the best case scenario for the theater's revenue generated from popcorn sales, while meeting its revenue goals, is given by this system of inequalities, where r represents the revenue in tens of thousands of dollars and p represents the sale price of popcorn in dollars and r ≥ 5 solutions Complete the statement( a viable solution, both a viable and a nomlable solution). The point (4,6) a nonviable solution The point (6,5) mola bouton of this system of this system.
Solution :
Total amount to be targeted by selling of popcorns in the movie theatre is 550,000.
A viable solution is one which has a definite meaning or definite solution to the question in context whereas a non viable solution does not have a definite relevant solution to the question.
In the context,
The point (4,6) is a non viable solution as it does not satisfy 1st inequality and only satisfies the second inequality.
The point (6,5) is a viable solution as it satisfies both the inequalities.