The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x - k. if g(x) is obtained by shifting f(x) down by 7 units, the value of k is

k=7, g(x) = (0.5)x-7

Step-by-step explanation:

If g(x) is obtained by shifting down f(x) by 7 units, and f(x) passes through the origin (0,0) g(x) at the same instant passes through the same instant at  point (0,-7).

So f(x) =(2,1), (4,2),....

g(x) = (2,-6), ( 4,-5),....

And so on

Also, as K is the Linear if ti shifts down the line intercepts y-axis some units down. Since it is 7 units down for the y coordinate we can affirm g(x) =0.5 -k equals g(x)=0.5x -7

4 adults and 12 babies

step-by-step explanation:

4 x 7 = 28

12 x 15 = 180

180 + 28 =208

4 x 3 = 12

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)