In quadrant IV, 
is positive. So
Then by the definition of tangent,
The area under a graph is given by the integral of that function, evaluated in the interval of interest:
![\displaystyle \int_{-3}^2 x^2+4\;dx = \left[\dfrac{x^3}{3}+4x\right]_{-3}^2 = \left[\dfrac{2^3}{3}+4\cdot 2\right]-\left[\dfrac{(-3)^3}{3}+4\cdot(-3)\right] = \left[\dfrac{8}{3}+8\right]-\left[-9-12\right] = \dfrac{32}{3}+21 = \dfrac{95}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_%7B-3%7D%5E2%20x%5E2%2B4%5C%3Bdx%20%3D%20%5Cleft%5B%5Cdfrac%7Bx%5E3%7D%7B3%7D%2B4x%5Cright%5D_%7B-3%7D%5E2%20%3D%20%5Cleft%5B%5Cdfrac%7B2%5E3%7D%7B3%7D%2B4%5Ccdot%202%5Cright%5D-%5Cleft%5B%5Cdfrac%7B%28-3%29%5E3%7D%7B3%7D%2B4%5Ccdot%28-3%29%5Cright%5D%20%3D%20%5Cleft%5B%5Cdfrac%7B8%7D%7B3%7D%2B8%5Cright%5D-%5Cleft%5B-9-12%5Cright%5D%20%3D%20%5Cdfrac%7B32%7D%7B3%7D%2B21%20%3D%20%5Cdfrac%7B95%7D%7B3%7D)
Answer:
-23/22
Step-by-step explanation:
Slope m = (y2-y1)/(x2-x1)
m = (12 - 81)/(32 - -34) = (-69)/(66) = -23/22
I may be wrong but I hope I am not. But one expression is 16 × .15 and another is 16 × 15/100. When multiplying percentages you have to move the decimal that is invisbly behind the last number, two places to the left. The answer you get is the percentage of the price. You would then take the answer and add it to the price. The answer to the multiplication problem is 2.40. You then add the 2.40 to the $16 and that's the new price.
Answer:
23
Step-by-step explanation:
92÷4=23
There are a total of 92 barrettes and 4 sisters so you divide the total amount of barrettes with the total amount of people present.
