Can someone please help me solve the problem

Given:

The exponential function is:

To find:

The percentage rate of increase or decrease.

Solution:

The general exponential function is:

          ...(i)

Where, a is the initial value, |r| is the growth rate in decimals if r>0 and |r| is the decay rate in decimal if r<0.

The exponential function is:

It can be written as:

       ...(ii)

On comparing (i) and (ii), we get

Since r is negative, therefore the given function is a decreasing or decay function.

Now,

So, the rate of decrease is 0.06. Multiply this number by 100 to get the percentage.

Therefore, the rate of decrease is 6%.

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)