B.!!!!!! !!!!
that’s the answer
Answer:The answer is 3 equal -4
Step-by-step explanation:
Answer:
(3,2)
Step-by-step explanation:
2x+3y=12
substitute x with 3 because x=3
2(3)+3y=12
multiply
6+3y=12
(subtract 6 from both sides)
3y=6
(divide by 3 on both sides)
1y=2
x = 3 and y = 2
Answer:
-2; 16
Step-by-step explanation:
Rewrite the equation
as:
![x^2-14x+31-63=0\\ \\x^2-14x-32=0](https://tex.z-dn.net/?f=x%5E2-14x%2B31-63%3D0%5C%5C%20%5C%5Cx%5E2-14x-32%3D0)
Now use the quadratic formula:
![D=b^2-4ac\\ \\D=(-14)^2-4\cdot 1\cdot (-32)\ \ [a=1,\ b=-14,\ c=-32]\\ \\D=196+128=324=18^2](https://tex.z-dn.net/?f=D%3Db%5E2-4ac%5C%5C%20%5C%5CD%3D%28-14%29%5E2-4%5Ccdot%201%5Ccdot%20%28-32%29%5C%20%5C%20%5Ba%3D1%2C%5C%20b%3D-14%2C%5C%20c%3D-32%5D%5C%5C%20%5C%5CD%3D196%2B128%3D324%3D18%5E2)
Now
![x_{1,2}=\dfrac{-b\pm\sqrt{D}}{2a}\\ \\x_{1,2}=\dfrac{-(-14)\pm\sqrt{18^2}}{2\cdot 1}=\dfrac{14\pm18}{2}=\dfrac{-4}{2},\ \dfrac{32}{2}=-2,\ 16](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%5Cdfrac%7B-b%5Cpm%5Csqrt%7BD%7D%7D%7B2a%7D%5C%5C%20%5C%5Cx_%7B1%2C2%7D%3D%5Cdfrac%7B-%28-14%29%5Cpm%5Csqrt%7B18%5E2%7D%7D%7B2%5Ccdot%201%7D%3D%5Cdfrac%7B14%5Cpm18%7D%7B2%7D%3D%5Cdfrac%7B-4%7D%7B2%7D%2C%5C%20%5Cdfrac%7B32%7D%7B2%7D%3D-2%2C%5C%2016)
37.5 = initial rate
44.9 = slope/rate
In problems like these, just use y = initial rate + rate(variable)
In this case, the answer would be y = 37.5 + 44.9h