Answer: x = 3
Step-by-step explanation:Simplifying
12 + 5x = 18 + 3x
Solving
12 + 5x = 18 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
12 + 5x + -3x = 18 + 3x + -3x
Combine like terms: 5x + -3x = 2x
12 + 2x = 18 + 3x + -3x
Combine like terms: 3x + -3x = 0
12 + 2x = 18 + 0
12 + 2x = 18
Add '-12' to each side of the equation.
12 + -12 + 2x = 18 + -12
Combine like terms: 12 + -12 = 0
0 + 2x = 18 + -12
2x = 18 + -12
Combine like terms: 18 + -12 = 6
2x = 6
Divide each side by '2'.
x = 3
Simplifying
x = 3
Answer:
y = 3/4x - 8
Step-by-step explanation:
Answer:
Lavania observed 39 fruit flies after 6 days of observation
Step-by-step explanation:
Let x be the number of fruit flies on the first day of Lavania's study.
After 6 days she had nine more than five times as many fruit flies as when she began the study.
Five times as many fruit flies as when she began the study = 5x
Nine more than five times as many fruit flies as when she began the study=5x+9
The expression to find the population of fruit flies Lavania observed after 6 days is 5x+9
If she observes 20 fruit flies on the first day of the study, then x=6, then

Given:
The demand function is,

The total revenue function is,

Answer:
You can do this by completing the square
x^2 - 14x + y^2 + 8 = 16
(x - 7)^2 - 49 + (y + 4)^2 - 16 = 16
(x - 7)^2 + (y + 4)^2 = 16 + 16 + 49 = 81
so the center is at (7 , -4) and radius = sqrt81 = 9