Answer:
![\large\boxed{(f-g)(x)=-5x^2+2x+1}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28f-g%29%28x%29%3D-5x%5E2%2B2x%2B1%7D)
Step-by-step explanation:
![(f-g)(x)=f(x)-g(x)\\\\\text{We have}\ f(x)=-2x^2-2x-3\ \text{and}\ g(x)=3x^2-4x-4.\\\\\text{Substitute:}\\\\(f-g)(x)=(-2x^2-2x-3)-(3x^2-4x-4)\\\\(f-g)(x)=-2x^2-2x-3-3x^2+4x+4\qquad\text{combine like terms}\\\\(f-g)(x)=(-2x^2-3x^2)+(-2x+4x)+(-3+4)\\\\(f-g)(x)=-5x^2+2x+1](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3Df%28x%29-g%28x%29%5C%5C%5C%5C%5Ctext%7BWe%20have%7D%5C%20f%28x%29%3D-2x%5E2-2x-3%5C%20%5Ctext%7Band%7D%5C%20g%28x%29%3D3x%5E2-4x-4.%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5C%28f-g%29%28x%29%3D%28-2x%5E2-2x-3%29-%283x%5E2-4x-4%29%5C%5C%5C%5C%28f-g%29%28x%29%3D-2x%5E2-2x-3-3x%5E2%2B4x%2B4%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%28f-g%29%28x%29%3D%28-2x%5E2-3x%5E2%29%2B%28-2x%2B4x%29%2B%28-3%2B4%29%5C%5C%5C%5C%28f-g%29%28x%29%3D-5x%5E2%2B2x%2B1)
Answer:
50%
Step-by-step explanation:
Half of 50 is 25, so when it comes to a percent, half of 100% (50) is 50% (25)
Answer:
Height : 3 cm
Step-by-step explanation:
The formula for a trapezoid is
<u> a+b</u> ×height
2
Rearrange for formula :
![2 \times \frac{area}{ base + base }](https://tex.z-dn.net/?f=2%20%5Ctimes%20%5Cfrac%7Barea%7D%7B%20base%20%2B%20base%20%7D%20)
![2\frac{9}{ 4 + 2 } = 3cm](https://tex.z-dn.net/?f=%202%5Cfrac%7B9%7D%7B%204%20%2B%202%20%7D%20%20%3D%203cm)
Answer:
n = 10
Step-by-step explanation:
move all terms to the left:
-2-(-(n-8))=0
calculate terms in parentheses: -(-(n-8)), so:
-(n-8)
get rid of parentheses
-n+8
add all the numbers together, and all the variables
-1n+8
go back to the equation:
-(-1n+8)
get rid of parentheses
1n-8-2=0
add all the numbers together, and all the variables
n-10=0
move all terms containing n to the left, all other terms to the right
n=10
Answer:
4/7 is larger than 2/7
Step-by-step explanation:
2/7 is 2÷7
4/7 is 4÷7