Break even is the value of t where revenue=cost or R(t)=C(t)
set equal each other
-50t^2+300t=600-50t
multiply both sides by -1
50t^2-300t=50t-600
divide both sides by 50
t^2-6t=t-12
minus t-12 from both sides
t^2-7t+12=0
factor
(t-4)(t-3)=0
set each to zero
t-4=0
t=4
t-3=0
t=3
the cost is $3 or $4
it will first break even at t=3$
Integration by substitution is an integration method meant to "undo" the chain rule for differentiation. This method is useful for some integrands containing compositions of functions.
For example, substitution is good for finding the antiderivative of 2x•cos(x^2). The quadratic function nested inside the cosine function suggests that substitution might be useful. And it is... the antiderivative is sin(x^2)+C
The answer is Choice C.
Slope intercept form follows this general equation...

With this information you have posted, all you can do is find slope, your m. To calculate for slope, you need to use this following equation...

Then, you pick one of your coordinate pairs to be 1 and the other to be 2. I will choose the first coordinate pair as 1, so...

You plug in -1 into your slope formula...

Now, to find your y-intercept, or b, you must plug in one of your coordinate pairs. In that equation, you may plug in the values (3,3), so you'll have...

Just solve for b and you will be done
Answer:
100
I first made 45 a fraction = 45/1
Then i made 2 2/9 into an improper fraction
then make my equation
45/1 ×20/9=100
answer is 100 red apples
Step-by-step explanation:
So you distrubute and get
-2p-8+2-3+5p
add like terms
3p-9
ANSWER: 3p-9