Fernando built a robot to filter air and water efficiently. he expects the robot to filter more than 512 liters of air and water while using less than 9 joules of energy.
a represents the number of minutes the robot filters air, and w represents the number of minutes the robot filters water.
21a+14w > 21a+14w> 51, a, plus, 14, w, is greater than, 512 represents the number of minutes the robot filters air and water to filter more than 512512512 liters of air and water.
0.36a+0.6w < 90.36a+0.6w< 90, point, 36, a, plus, 0, point, 6, w, is less than, 9 represents the number of minutes the robot filters air and water while using less than 9 joules of energy.

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.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

4

step-by-step explanation:

im pretty sure it's 4 beacsue 8/2 equals 4

is there a question here?

step-by-step explanation: