Answer:
y = -16
Step-by-step explanation:
f(x)=3/4x+12 (replace f(x) with y)
y =3/4x+12 (rearrange to express x in terms of y)
y - 12=3/4 x
3/4 x = y - 12
3x = 4(y - 12)
x = (4/3)(y - 12)
x = (4/3)y - (4/3)(12)
x = (4/3)y - 16
(y) = (4/3)y - 16
(x) = (4/3)x - 16
comparing to general form
y = mx + b where b is the y-intercept
b = -16
Hence the y-intercept is y = -16
Answer:
It graphs as a line: y will always equal 1.
Step-by-step explanation:
f(x) = 1^x will always equal 1
example:
f(2) = 1^2 = 1 * 1 = 1
f(3) = 1^3 = 1 * 1 * 1 = 1
...
f(100) = 1^100 = 1
No matter how many times you re-multiply, 1 times 1 will always equal 1.
Answer:
C) 
Step-by-step explanation:

Group the similar terms together:

Add/Subtract the w:

Add/Subtract the numbers:

Answer:
15 + -4j = 43
Solving
15 + -4j = 43
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + -4j = 43 + -15
Combine like terms: 15 + -15 = 0
0 + -4j = 43 + -15
-4j = 43 + -15
Combine like terms: 43 + -15 = 28
-4j = 28
Divide each side by '-4'.
j = -7
Simplifying
j = -7
Step-by-step explanation: