CD+DE=CE
(30+3x)+(25+2x)=15
55+5x=15
x=-8
CD=30-24=6
So first you would need to FOIL the problem (first-outer-inner-last) so you would multiply x by x and get {x²} then you would multiply x by 1 so you would get just plain {x} then multiply 2 by x so to get {2x} then multiply the last terms 2 and 1 together to get {2} so then put it all together = x² + x + 2x + 2 then you add like terms together so you end up with = x² + 3x + 2 as the answer
Answer:
The radius is r=5 units
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to
where
(h,k) is the center and r is the radius
we have
Convert to standard form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square twice. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
therefore
The center is the point (6,-3) and the radius is r=5 units
It is d. The h is the amount of hours and this must be paired with 25 because that is the rate do you can eliminate b and c. It is not a because that is making it so the cost is above 200 when you are trying to keep it below that
Answer:
Answer A: 300 n - 2200
Step-by-step explanation:
The profit function will be the income minus the cost of maintaining the boathouse.
The income comes from the number of boats that it docks (n) , times the monthly fee that each boat pays ($850), That is:
Income = 850 n
Now the monthly cost to operate the boathouse is the fix $2200 cost plus $550 per boat. That is:
2200 + 550 n
Now, the difference "Income - Cost" that defines the profit function becomes:
850 n - {2200 + 550 n} = 850 n - 550 n - 2200 = 300 n - 2200
