Mathematical Modeling: Part One — Test Answers

If f of x and its inverse function, f inverse of x , are both plotted on the same coordinate plane, where is their point of intersection?

Becca graphs the equations y is equal to negative 3 times open paren x minus 1 close paren and y is equal to x minus 5 to solve the equation negative 3 times open paren x minus 1 close paren is equal to x minus 5 Her graph is shown. What are the solution(s) of negative 3 times open paren x minus 1 close paren is equal to x minus 5 ?

If A times x is equal to 2 x minus 4 and b times x is equal to x plus 2 , which of the following expressions produces a quadratic function?

If h of x is the inverse of f of x , what is the value of h of f of x ?

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 What is the solution set of this problem?

If u times x is equal to x to the 5th power minus x to the 4th power plus x squared and v times x is equal to negative x squared , which expression is equivalent to open paren u over v close paren times x ?

Which equation can pair with x minus y is equal to negative 2 to create a consistent and dependent system?

If f of x is equal to 1 ninth x minus 2 , what is f inverse of x ?

The formula for the volume of a sphere is cap v is equal to 4 thirds pi r cubed What is the formula solved for r ?

Which ordered pair (c,d) is the solution to the given system of linear equations? negative c plus 2 d is equal to 13 negative 9 c minus 4 d is equal to negative 15

Which is the solution set of the compound inequality 3 point 5 x minus 10 is greater than negative 3 and 8 x minus 9 is less than 39 ?

A charity bingo game costs 2 dollars per round and has a 13 dollars entry fee for an adult. It costs 3 dollars per round and a 10 dollars entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?

If f of x is equal to 7 plus 4 x and g of x is equal to 1 over 2 x , what is the value of open paren f over g close paren of 5 ?

The table shows how far a distance runner has traveled since the race began. What is her average rate of change, in miles per hour, during the interval 0 point 7 5 to 1 point 0 0 hours? Time Elapsed (Hours) Miles Traveled (Miles) 0 point 5 0 2 point 0 0 0 point 7 5 3 point 5 0 1 point 0 0 4 point 7 5

Given f of x is equal to 17 minus x squared , what is the average rate of change in f of x over the interval left bracket 1 comma 5 right bracket ?

Given the equation the fraction with numerator 2 x plus 2 and denominator y is equal to 4 w plus 2 what is the value of x ?

A deli is offering two specials. The roast beef special gives a profit of 2 point 3 0 dollars per sandwich, and the turkey special gives a profit of 3 point 1 0 dollars per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials. What are the constraints for the problem?

Which statement correctly explains how Andre could find the solution to the following system of linear equations using elimination? 8 s minus 9 t is equal to 15 7 s minus 2 t is equal to 12

Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for these graphs?

Which statement describes the solution to the system of equations? 2 h plus 8 k is equal to 6 negative 5 h minus 20 k is equal to negative 15