A. An organ is the oldest keyboard instrument.
Answer:
=19.66
Step-by-step explanation:
y=mx+b with m=-4/3 ;x=8 and y=9
9=-4/3×8+b
9=-32/3+b
9+32/3=b
b=19.66
y=2x-3
2 is the slope (movement of the line) and it will increase or decrease with the variable and -3 is your starting point so it stay the same
We need to integrate
![\\ \tt\Rrightarrow {\displaystyle{\int}_{-3}^{-2}}3x^2-x-1](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%20%7B%5Cdisplaystyle%7B%5Cint%7D_%7B-3%7D%5E%7B-2%7D%7D3x%5E2-x-1)
![\\ \tt\Rrightarrow \left[\dfrac{3}{4}x^4-\dfrac{x^2}{2}-x\right]_{-3}^{-2}](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%20%5Cleft%5B%5Cdfrac%7B3%7D%7B4%7Dx%5E4-%5Cdfrac%7Bx%5E2%7D%7B2%7D-x%5Cright%5D_%7B-3%7D%5E%7B-2%7D)
![\\ \tt\Rrightarrow \dfrac{3}{4}(-2)^4-\dfrac{(-2)^2}{2}-(-2)-\left(\dfrac{3}{4}(-3)^4-\dfrac{(-3)^2}{2}+3\right)](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%20%5Cdfrac%7B3%7D%7B4%7D%28-2%29%5E4-%5Cdfrac%7B%28-2%29%5E2%7D%7B2%7D-%28-2%29-%5Cleft%28%5Cdfrac%7B3%7D%7B4%7D%28-3%29%5E4-%5Cdfrac%7B%28-3%29%5E2%7D%7B2%7D%2B3%5Cright%29)
![\\ \tt\Rrightarrow 12-2+2-(\dfrac{243}{4}-\dfrac{9}{2}+2)](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%2012-2%2B2-%28%5Cdfrac%7B243%7D%7B4%7D-%5Cdfrac%7B9%7D%7B2%7D%2B2%29)
![\\ \tt\Rrightarrow 12-(\dfrac{225}{4}+2)](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%2012-%28%5Cdfrac%7B225%7D%7B4%7D%2B2%29)
![\\ \tt\Rrightarrow 12-\dfrac{233}{4}](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%2012-%5Cdfrac%7B233%7D%7B4%7D)
![\\ \tt\Rrightarrow \dfrac{48-233}{4}](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%20%5Cdfrac%7B48-233%7D%7B4%7D)
![\\ \tt\Rrightarrow \dfrac{-185}{4}](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%20%5Cdfrac%7B-185%7D%7B4%7D)
![\\ \tt\Rrightarrow 46(approx)\neq 0](https://tex.z-dn.net/?f=%5C%5C%20%5Ctt%5CRrightarrow%2046%28approx%29%5Cneq%200)
It has a zero in between-3 and -2