If x varies inversely as y, and x = 7 when
y=3, find y when x = 9.

Step-by-step explanation:

x=k/y(1)

k=xy

k= 7×3

k=21

from equation 1

x=k/y

y=k/x

y=21/9

y = 2.33

3.85714285714

Step-by-step explanation:

7 = 3

9 = y

9*3=27

27/7 = 3.85714285714

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

$9.89

step-by-step explanation:

9.90 = p x .06 x .25 (3/12 changed to a decimal)

9.90 = p x 0.015

9.90 - 0.015 = p

9.89 = p