Ok, here we go. Pay attention. The formula for the arc length is
. That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is
(that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of
. Integrating that we have
from -1 to 2.
gives us
. Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly:
which simplifies to
. The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with
. And there you go!
Answer: ( D) 998 is the greatest three digit positive integer
Step-by-step explanation: Your welcome.
Answer:
Step-by-step explanation:
Step One: Convert
49/16x^2-2=-0.05x+4
Step Two: Multiply Both Sides by 80
245x^2-160=-4x+320
Step Three: Move everything to the left
245x^2+4x-480=0
Final Step: Quadratic Formula
9514 1404 393
Answer:
360
Step-by-step explanation:
Sam obtains a "contribution margin" of $0.50 -0.25 = $0.25 per cookie. That will cover the cost of baking supplies when he sells ...
$90 / ($0.25/cookie) = 360 cookies
Sam needs to sell 360 cookies before he can start making a profit.
_____
If you like, you can find Sam's break-even point by equating revenue and cost. The is the number of cookies Sam must sell for a profit of 0, that is, for non-negative profit.
P = R - C
0 = R - C
R = C
0.50n = 90 +0.25n
0.25n = 90 . . . . subtract 0.25n
n = 90/0.25 = 360 . . . .divide by the coefficient of n
You may notice this is similar to our description above.
Answer:
c
Step-by-step explanation: If you do the math you can clearly see and I got the answer correct.
