Write a linear function f with f(0) = 2 and f(2)=4.
f(x)

f(x) = x + 2

Step-by-step explanation:

The standard form of a linear function is

f(x) = ax + b

Given f(0) = 2 ( that is when x = 0 , f(x) = 2  ) , then

2 = a(0) + b = b ⇒ b = 2

Given f(2) = 4 ( that is when x = 2, f(x) = 4 ) , then

4 = 2a + b = 2a + 2 ( subtract 2 from both sides )

2 = 2a ( divide both sides by 2 )

1 = a

Linear function is then f(x) = x + 2

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4