Which of the following is a point on the graph of y=(1/2)^x? 1.( 0,0) 2.(0,1/2) 3.(2,1/4) 4.(2,1)

The point on a function are the true values of the function.

is a point on the graph of

The function is given as:

This means that:

x = 0, and y = 0

So, we have:

The above is not true, because:

This means that:

x = 0, and y = 1/2

So, we have:

The above is not true, because:

This means that:

x =2, and y = 1/4

So, we have:

The above is true.

Hence,

is a point on the graph of

Read more about points and graphs at:

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f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is