Answer:
![\large\boxed{(f-g)(x)=-3x^2-x-4}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28f-g%29%28x%29%3D-3x%5E2-x-4%7D)
Step-by-step explanation:
![(f-g)(x)=f(x)-g(x)](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3Df%28x%29-g%28x%29)
![f(x)=-4x^2-6x-1,\ g(x)=-x^2-5x+3\\\\(f-g)(x)=(-4x^2-6x-1)-(-x^2-5x+3)\\\\(f-g)(x)=-4x^2-6x-1-(-x^2)-(-5x)-3\\\\(f-g)(x)=-4x^2-6x-1+x^2+5x-3\qquad\text{combine like terms}\\\\(f-g)(x)=(-4x^2+x^2)+(-6x+5x)+(-1-3)\\\\(f-g)(x)=-3x^2-x-4](https://tex.z-dn.net/?f=f%28x%29%3D-4x%5E2-6x-1%2C%5C%20g%28x%29%3D-x%5E2-5x%2B3%5C%5C%5C%5C%28f-g%29%28x%29%3D%28-4x%5E2-6x-1%29-%28-x%5E2-5x%2B3%29%5C%5C%5C%5C%28f-g%29%28x%29%3D-4x%5E2-6x-1-%28-x%5E2%29-%28-5x%29-3%5C%5C%5C%5C%28f-g%29%28x%29%3D-4x%5E2-6x-1%2Bx%5E2%2B5x-3%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%28f-g%29%28x%29%3D%28-4x%5E2%2Bx%5E2%29%2B%28-6x%2B5x%29%2B%28-1-3%29%5C%5C%5C%5C%28f-g%29%28x%29%3D-3x%5E2-x-4)
Y = 0.5x + <span>3.5
this id the equation for a line when </span>Slope = 0.5, y-intercept = 3.5
Answer:
the answer is 10n-13
Step-by-step explanation:
this is a one step problem, all you need to do is add all the like terms together such as n and 9n and since they are both positives they add up to 10n and then with -10 and -3 they would add together to make -13. thats all there is to it, the answer is 10n-13
Answer:
Step-by-step explanation:
Answer:
3 cm
Step-by-step explanation:
The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...
k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3
Then the corresponding side of the smaller triangle is ...
... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm