1. simplify the expression (3x+5)/(2(x+1/4x)-1)
2. determine the domain and range of the function {(-3,,,9)}
3. find the vertex of the parabola that represents the function f(x)=(x-5)^2+9
4. find the domain of the function . write the answer in interval notation f(x)=(2x^3-250)/(x^2-2x-15)
5. find the domain of the function g(x) = 4/x^2+3x+2. write your answer in set builder notation.
6. which of the following functions have only one point that is not in the domain? select all that apply.
a. f(x)= x^2-6x-8
b. f(x)=3/x^2+2x+1
c. f(x)=1/x^2+5x+4
d. f(x)=5/3+x
7.

answer: f true

step-by-step explanation:

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )

the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. hope this ! mark brainliest! you v much! : )

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240