There are 412 students and 20 teachers taking buses on a trip to a museum. each bus can seat a maximum of 48. which inequality gives the least number of buses, b, needed for the trip?

48 b ≤432

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

So, first we have to add the number of students and the number of teachers, to obtain the total number of people.  

412+20 = 432  people

Since each bus can seat a maximum of 48, we have to multiply 48 by the number of buses (b) and that expression must be less or equal to 432.

48 b ≤ 432

the answer is 14ft

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.