To make a positive profit p(x)>0 we need to make:

Now we solve this for x:

We have:
a = -2
b = 7
c = -3
We will use formula for quadratic equation:

We got two solutions. One is fraction other is whole number. We will not consider fraction because the amount of muffins sold must be whole number. So our solution is:
x>3
Yes the proportial relationship all increase by the same number so that would be your rate of change
Answer:
[27,3) i think
Step-by-step explanation:
The sentence sequence is "BDAC".
<u>Step-by-step explanation</u>:
- Derek is rolling a die many times and he is recording when he rolls a dice of three. So we have to identify from largest to smallest.
- The first largest is 30 times. Because of 3*10=30, so he rolls three ten times. So the first option is B.
- The second largest is 20 times. Derek rolled dice three-six times because of 3*6=18. So the second option is D.
- The third-largest is 10 times. In this, he rolls three times. Because of 3*3=9. So the option is A.
- The final option is C. Derek rolls five times. 3*1=3. In this, he rolled only one time. So the sequence is BDAC.
Answer:
Step-by-step explanation:
If you have written the question correctly, then you don't need to factor it. You only need to remove the brackets.
x + 1 + 6x + 6 + 8
7x + 15 is your final answer.
However, I think the question is
(x + 1)^2 + 6(x + 1) + 8
Let y = x + 1
y^2 + 6y + 8
(y + 2)(y + 4)
(x + 1 + 2 ) ( x + 1 + 4)
(x + 3)(x + 5)