What is the equation of f(x)?
f(x)=8(4)
f(x)=-8(4)*
f(x)=8(2)
f(x)=-=( 14 )

B

if x =-1 then g(x) = -2 and f(x) =2

if x=0 then g(x) =-8 and f(x) = 8

so two functions are symmetry across the x axis

--> f(x) = - g(x) = -8.4^x

f(x) = -8(4)^x

Step-by-step explanation:

We are given that the function f(x) is the function g(x) = 8(4)^x reflected across the x-axis.

In order to do so, we need to map the corresponding y-value of every x-value to the opposite side while maintaining the same distance from the x-axis. To do this, we can simply have a negative sign in front of the function g(x) to demonstrate this mapping of values.

For example when x=0:

g(4) = 8(4)^0 = 8 * 1 = 8

If we were to reflect this point across the x-axis, we would have to place a negative sign in front:

-g(4) =-8

In order to reflect the entire function across the x-axis, we must have a negative sign in front of every point along the domain of the function:

This creates a new function with the reflected values : f(x) = -g(x)

By then substituting g(x) = 8(4)^x we obtain f(x) = -8(4)^x.

Hence, the solution is the second option in the list of choices.

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is