Answer:
27
Step-by-step explanation:
To evaluate f(8) substitute x = 8 into f(x)
f(8) =
× 8² - (
× 8 + 3)
=
× 64 - (2 + 3)
= 32 - 5
= 27
From the table there is 24 houses with 2 bathrooms and 3 bedrooms
there is a total of 30 houses with 2 bathrooms
the probability is 24 /30 = 0.8
Answer:

Step-by-step explanation:
Given a ΔLMN.
Line LN is extended to point O.
such that:

and

To find:

Solution:
Kindly refer to the attached image for the given triangle and dimensions of angles.
Let us recall the external angle property of a triangle:
The external angle of a triangle is equal to the sum of two opposite internal angles.
i.e.

Putting the value of
in
.

The range of the function f(x) is the set of all values that function f takes.
The domain of the function f(x) is the set of all possible values for x.
From the given graph you can see that the domain is all real numbers,
The maximal y-value that f takes is 3 at x=-1. For all another x from the domain, y is less than 3.
Thus, the range of the given function is ![y\in (-\infty,3].](https://tex.z-dn.net/?f=y%5Cin%20%28-%5Cinfty%2C3%5D.)
Answer: ![y\in (-\infty,3].](https://tex.z-dn.net/?f=y%5Cin%20%28-%5Cinfty%2C3%5D.)