The break even point is when profit is equal to zero, or in this case when p(x)=0
4x^2-28x+40=0
4(x^2-7x+10)=0
4(x^2-2x-5x+10)=0
4(x(x-2)-5(x-2))=0
4(x-5)(x-2)=0
So the break even points are when x=2 and 5, which is when 2000 and 5000 units are sold.
To find the inverse of the function, <span> f(x) = 1/4x-12, first interchange the variables of x and y
x=1/4y-12, now solve for y
1/4y=x+12, multiply by 4 on both sides
y=4x+48
Thus, the inverse of the function</span><span> f(x) = 1/4x-12 is 4x+48
Hope this helps!</span>
Answer:
Your answer is -6.
Step-by-step explanation:
Simplify 2(2x+3) to get 4x+6
Then simplify -6(x+9) to get -6x-54
Now you have 4x+6=-6x-54
Move all of the coefficients to one side:
10x+6=-54
Move all of the constants to the other side:
10x=-60
Divide each side by 10:
10/10x=-60/10
To get your answer of -6.
Answer:
We can compute this in 2 ways:
305 downwind - 260 still air = 45 mph wind velocity
260 still air - 215 downwind = 45 mph wind velocity
Step-by-step explanation:
Answer:
5.5hr
Step-by-step explanation:
Distance=550Km
Speed=100Km/hr
Speed=(Distance/Time)
Time=(Distance/Speed)
Time=550/100=5.5hr