MODELING REAL LIFE The table shows the research activities of two students at an observatory. How much does a student pay to use the telescope for one hour?
Telescope Use Supercomputer Use Total Cost
Student 1
5 hours
3 hours
$70.50
Student 2
6 hours
2 hours
$67.00
A student pays $
to use the telescope for one hour.
How much does a student pay to use the supercomputer for one hour?
A student pays $
to use the supercomputer for one hour.

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.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.

answer: n word

step-by-step explanation:

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