Which of the following represents exponential growth? choose all that apply.

group of answer choices
y=(5/4)^x

y=4^-x

y=5^x

y=(4/5)^x

Step-by-step explanation:

we know that

In a exponential function of the form

where

a is the initial value

b is the base

If the value of b >1 ----> then is a exponential growth

If the value of b <1 ----> then is a exponential decay

Verify each case

case a) we have

b> 1

therefore

The function represent exponential growth

case b) we have

b< 1

therefore

The function represent exponential decay

case c) we have

b> 1

therefore

The function represent exponential growth

case d) we have

b< 1

therefore

The function represent exponential decay

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110