Answer: -0.25n-0.15
Step-by-step explanation:
simplify
0.5n+0.3-0.75n-0.45
Combine like terms
-0.25n-0.15
Answer:


Step-by-step explanation:
The functions, missing from the question are:


Required
Determine the domain
To get the domain, means we want to get the possible values of x.
(a)

Equate 3 - x to 0

Solve for x


From the calculated value of x above;
When x exceeds 3; f(x) = undefined
So: the domain is:

(b)

Equate 3x to 0

Solve for x

From the calculated value of x above;
When x falls below 0; f(x) = undefined
So: the domain is:

Answer:
y = In(x)-5
Step-by-step explanation:
y = In(x)-5 is the correct choice. That -5 translates the graph of y = ln x downward by 5 units.
Answer:
48°
Step-by-step explanation:
In triangle CYZ, angles Y and C are complementary, so ...
(5x +22) + (12x) = 90
17x +22 = 90
17x = 68
x = 4
The angle of interest is 12x° , so has measure
12·4° = 48°
Answer:
145
Step-by-step explanation:
Supplementary angles add up to equal 180 degrees
Thus, ∠ABC + ∠DEF = 180°
If ∠ABC = 35
Then 35 + ∠DEF = 180
180 - 35 = 145
Hence, ∠DEF = 145