Decide whether the function is an exponential growth or exponential decay function, and find the constant percentage rate of growth or decay. (5 points)
f(x) = 9.8 ⋅ 1.03x

exponential growth function; 103%

exponential growth function; 0.03%

exponential growth function; 3%

exponential decay function; 103%

Step-by-step explanation:

The given function is

There are two expressions to indicate growth and decay, each equation is written like this:

In this case, the given function is an exponential growth function, because 1.03>1. Therefore, the given function expresses decay.

The initial value of the function is when x = 0. Replacing initial value, we have:; which means that 9.8 is the initial value.

Also, the growing factor is 1.03, because is the base. In addition, the percentage rate of growth is given by:

Then, , which is a 3%.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i