Answer:
x=15
Step-by-step explanation:
Hello there!
The shown angles are vertical angles
if you didn't know vertical angles are congruent
That being said we can create equation
5x + 40 = 115
now we solve for x
step 1 subtract 40 from each side
40 - 40 cancels out
115 - 45 = 75
now we have 75 = 5x
step 2 divide each side by 5
5x/5=x
75/5=15
we're left with x = 15
Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
Answer:
11/3
Step-by-step explanation:
Slope = rise/run. the rise is the increase of y and the run is the increase of x. that would make it 4/1 or just 4. now that you have the slope, plug everything into slope-intercept form. y = mx + b. m = the slope. b = the y-intercept. once every thing is plugged in, then the equation would be y = 4x - 2.
i hope i helped
