Answer:
3m² - 6
Step-by-step explanation:
Summing the 2 expressions
2m² + 3m - 4 + m² - 3m - 2 ← collect like terms
= (2m² + m²) + (3m - 3m) + (- 4 - 2)
= 3m² + 0 + (- 6) = 3m² - 6
The answer is 53
90+37 = 127
180-127= 53
Answer: x^2-9x+1
Step-by-step explanation:
x^2-7x-7 d(x-1)
(you would just replace x to (x-1)
(x-1)^2-7(x-1)-7
(solve by square rooting (x-1)(x-1) then foil)
x^2-9x+1
Answer:
95.85
Step-by-step explanation:
The area A of a circle as a function of its radius r is given by πr².
So, A(r) = πr²
Now, if there is a function f(x) and we have to calculate the average rate of change between the interval x = a and x = b is given by

Now, A(5.5) = π(5.5)² = 95.07 and A(25) = π(25)² = 1964.28
So, the average rate of change in area between the intervals r = 5.5 to r = 25 will be given by
(Answer)
Answer:

- With x being the number of people attending the party, and c(x) the cost in dollars.
Explanation:
The <em>total cost </em>is comprised of three costs, namely<em> the flat fee for the room rental</em> ($150), <em> the charge person for the Italian buffet </em>($14 per person), and <em>the tip</em> (18% added to the cost of the food). With this you can build your equation:

Where x respresents the number of people attending the party.
Convert 18% to its decimal form, which is 0.18 and simplify the equation:

Hence, calling the function c(x), it is:
, with x being the number of people attending the party, and c(x) the cost in dollars.