the constant of variation or namely its slope will be
![\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{18})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{30}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{30-18}{5-3}\implies \cfrac{12}{2}\implies 6](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B3%7D~%2C~%5Cstackrel%7By_1%7D%7B18%7D%29%5Cqquad%20%28%5Cstackrel%7Bx_2%7D%7B5%7D~%2C~%5Cstackrel%7By_2%7D%7B30%7D%29%20%5C%5C%5C%5C%5C%5C%20slope%20%3D%20m%5Cimplies%20%5Ccfrac%7B%5Cstackrel%7Brise%7D%7B%20y_2-%20y_1%7D%7D%7B%5Cstackrel%7Brun%7D%7B%20x_2-%20x_1%7D%7D%5Cimplies%20%5Ccfrac%7B30-18%7D%7B5-3%7D%5Cimplies%20%5Ccfrac%7B12%7D%7B2%7D%5Cimplies%206)
Answer:
1250
Step-by-step explanation:
125
<u>* 37</u>
875
<u>+ 375</u>
1250
Answer:
12 months in a year
6 is half a month so we're going off of 6 months.
So:
821*0.15= 123.15
821- 123.15= 697.85
697.85*0.15= 104.6775
697.85-104.6775= 593.1725
593.1725*0.15= 88.975875
593.1725-88.975875= 504.196625
504.196625
*0.15= 75.62949375
504.196625- 75.62949375= 428.56713125
428.56713125*0.15= 64.2850696875
428.56713125-64.2850696875
= 364.282061562
364.282061562*0.15= 54.6423092344
364.282061562-54.6423092344
= 309.639752328
So its 310 fish.
2 ( k-5) 13 you don't need two k-5 you can simplify it so you just know to do it twice
Answer:
![\large\boxed{y=(x+5)^2-64}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7By%3D%28x%2B5%29%5E2-64%7D)
Step-by-step explanation:
![\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\h=\dfrac{-b}{2a},\ k=f(h)\\\\\text{We have the equation:}\ y=x^2+10x-39\to x=1,\ b=10,\ c=-39.\\\\\text{Substitute:}\\\\h=\dfrac{-10}{2(1)}=\dfrac{-10}{2}=-5\\\\k=f(-5)=(-5)^2+10(-5)-39=25-50-39=-64\\\\\text{Finally:}\\\\y=1(x-(-5))^2-64=(x+5)^2-64](https://tex.z-dn.net/?f=%5Ctext%7BThe%20vertex%20form%20of%20equation%7D%5C%20y%3Dax%5E2%2Bbx%2Bc%3A%5C%5C%5C%5Cy%3Da%28x-h%29%5E2%2Bk%5C%5C%5C%5Ch%3D%5Cdfrac%7B-b%7D%7B2a%7D%2C%5C%20k%3Df%28h%29%5C%5C%5C%5C%5Ctext%7BWe%20have%20the%20equation%3A%7D%5C%20y%3Dx%5E2%2B10x-39%5Cto%20x%3D1%2C%5C%20b%3D10%2C%5C%20c%3D-39.%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5Ch%3D%5Cdfrac%7B-10%7D%7B2%281%29%7D%3D%5Cdfrac%7B-10%7D%7B2%7D%3D-5%5C%5C%5C%5Ck%3Df%28-5%29%3D%28-5%29%5E2%2B10%28-5%29-39%3D25-50-39%3D-64%5C%5C%5C%5C%5Ctext%7BFinally%3A%7D%5C%5C%5C%5Cy%3D1%28x-%28-5%29%29%5E2-64%3D%28x%2B5%29%5E2-64)