Complete the equation
urgent need on this problem !

h(x) = 7 * (9/7) ^x

Step-by-step explanation:

h(x) = a b^x

When x=0 h(x) = 7

7 = a * b^0

7 = a *1

7 =a

Rewriting the equation

h(x) = 7 b^x

Let x=1

9 = 7 * b^1

9 = 7 * b

Divide each side by 7

9/7 =7b/7

9/7 =b

h(x) = 7 * (9/7) ^x

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

(a) the volume of the cone is 20/3 in3

hence, option a is correct.