Answer:
y = -3/5x - 2
Step-by-step explanation:
perpendicular is always the inverse of the slope so it be -3/5
now do y-4 = -3/5x - 6
add 4 to both sides to get y = -3/5x - 2
hope this is right
Revenue:
R ( x ) / x = 30 - 0.25 x
R ( x ) = 30 x - 0.25 x²
Profit:
P ( x ) = 30 x - 0.25 x² - 200
P ` ( x ) = 30 - 0.5 x
30 - 0.5 x = 0
0.5 x = 30
x = 60
P max = 30 · 60 - 0.25 · 3600 - 200 = $700
Answer:
I should sell 60 tickets to maximize the profit.
The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).
<h3>What is a linear equation?</h3>
- It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.
- The equation is referred to as a linear equation in one variable if just one variable is contained in the equation.
Now,
We are given the linear equation: 
- 4x + 5x -2 = 6 (Distributive property)
- 9x - 2 = 6 (combining the like terms)
- 9x = 8 (additive property of equality)
- x = 8/9 (division property of equality)
Hence, The third and fourth solutions are correct when using the division property of equality, i.e., The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).
To learn more about linear equations, refer to the link: brainly.com/question/11897796
#SPJ4
Answer:
y = [-½]x + [-5]
Step-by-step explanation:
Equation describing how x and y are related can be written in slope-intercept form, y = mx + b.
m = slope = ∆y/∆x
Using two pairs of values from the table, (-2, -4) and (0, -5),
Slope (m) = (-5 - (-4))/(0 - (-2)) = -1/2
m = -½
b = y-intercept = the value of y when x is 0 = -5
b = -5
✔️To write the equation, substitute m = -½ and b = -5 into y = mx + b
Thus:
y = [-½]x + [-5]
f(x) means the function of x
so the function is the input is x and the output is f(x), read "f of x". The output f(x) is sometimes given an additional name y by y = f(x). The example that comes to mind is the square root function on your calculator.