Answer:
The Domain is all real values of x except x = 0 and x = -2.5.
Step-by-step explanation:
I am assuming that f(x) = 3/(x + 2).
(f o g)x is found by substituting 5/x for the x in 3/(x + 2).
(f o g) x = 3/ ( 5/x + 2)
= 3 / ( 5+2x) / x
= 3x / (5 + 2x).
When finding the domain you first check for values of x which make g(x) undefined then values of x which make (f o g)(x) undefined.
x = 0 makes g(x) = 5/0 so it is undefined and x = -2.5 makes g o f undefined also.
The length of the support post is 40 ft.
<u>Solution:</u>
Given, the height of the wall is 20 ft; support post forms 30 degree
Refer the attached image
Let us name the triangle as ABC where AB is the wall (opposite side) of 20 ft and
is 30 degree (
) and AC is the length of the post.
To find: The length of the post (AC)
we know the formula,
(trigonometric formula)
On substituting the values we get,

The value of sin 30 degree is 0.5

$70
.25(56) = 14
14 + 56= $70
The answer of this equation is 8cm I did the math
Answer:
There are 30 ounce of green paint 18 ounces blue paint was needed.
Step-by-step explanation:
Given that,
In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.
Assume 2x blue paint and 3x yellow paint required to make 30 ounce of green paint.
According to the problem,
2x+3x=30
⇒5x=30

⇒ x=6
The amount of blue paint is = 2×6
=12 ounces
The amount yellow paint is = (3×6)
= 18 ounces
There are 30 ounce of green paint 18 ounces blue paint was needed.