Answer:
y = 
Step-by-step explanation:
Let the equation of the exponential function is,
y = a(b)ˣ
Since the graph of this function passes through two points 
and (3, -1)
For the point ,
---------(1)
For second point (3, -1),
-1 = a(b)³ ---------(2)
Divide equation (2) by equation (1),
= 
From equation (2)
-1 = 
-1 = 
a = 8
Therefore, equation of the exponential function will be,
y =
Answer:
Leaving it in Radical form
Step-by-step explanation:
You cannot write out the entire real decimal without having to round because it is a never ending decimal like pi. If you are looking to type it into a calculator then radical form is best. However, if you are looking to add it to a decimal then converting to a decimal to show your work would be better than showing a radical.
Answer: No, the friend is correct. In any function, each input value can only lead to one output value. When you input 3 for the x-values, you would get two output values because 3 is included in both equations. To fix this, you need to have the 3 not included in one of the equations.
For example, you could say 
or 
because the input value of 3 would not be included twice.
If you look at the attached screenshot, you will see that if you keep your friend's function, inputting 3 will result in two outputs of 4 and -3, so therefore, 
cannot represent a piecewise function.
Answer:
8%
Step-by-step explanation:
The amount repaid is ...
A = P(1 +rt)
Filling in the given values, we can find r.
(18·28) = 450(1 +r(18/12)) . . . . . t is in years
504 = 450 + 675t
54/675 = 0.08 = 8%
The simple interest rate on the loan is 8%.
Answer:
87 feet
Step-by-step explanation:
Two of the sides here are unknown. The one on the leftmost side is equal to 9, since on the other side it also has a length of 9 feet. The section on the top right has a length of 30-9-9=12 units. Adding all of these values together now, you get a total perimeter of:
30+9+12+9+9+9+9=87 feet
Hope this helps!
