Answer:
![\large\boxed{(f-g)(x)=-3x+11}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28f-g%29%28x%29%3D-3x%2B11%7D)
Step-by-step explanation:
![(f-g)(x)=f(x)-g(x)\\\\f(x)=2x-1+3=2x+2\\g(x)=5x-9\\\\\text{Substitute:}\\\\(f-g)(x)=(2x+2)-(5x-9)\\\\=2x+2-5x-(-9)\\\\=2x+2-5x+9\qquad\text{combine like terms}\\\\=(2x-5x)+(2+9)\\\\=-3x+11](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3Df%28x%29-g%28x%29%5C%5C%5C%5Cf%28x%29%3D2x-1%2B3%3D2x%2B2%5C%5Cg%28x%29%3D5x-9%5C%5C%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5C%28f-g%29%28x%29%3D%282x%2B2%29-%285x-9%29%5C%5C%5C%5C%3D2x%2B2-5x-%28-9%29%5C%5C%5C%5C%3D2x%2B2-5x%2B9%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%282x-5x%29%2B%282%2B9%29%5C%5C%5C%5C%3D-3x%2B11)
Answer:
Option D
9 – 4 = 5
Step-by-step explanation:
<h3><u>Given</u>;</h3>
1, 4, 5, 6, 6, 9, 11
Now,
Q1.) The median of the lower half is 4
Q3.) The median of the upper half is 9
So,
IQR is the difference of the above two numbers:
IQR = Q3 – Q1 = 9 – 4 = 5
Thus, The answer is 5
<u>-TheUnknownScientist</u><u> 72</u>
Answer:
The scale factor of given coordinate
A is correct.
Step-by-step explanation:
We are given two coordinate O and K. The dilation with respect to origin.
![D_{O,K}(6,12)\rightarrow (3,6)](https://tex.z-dn.net/?f=D_%7BO%2CK%7D%286%2C12%29%5Crightarrow%20%283%2C6%29)
For scale factor,
![(x,y)\rightarrow (ax,ay)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28ax%2Cay%29)
a is scale factor of coordinate.
If we divide new coordinate with old coordinate to get scale factor.
![\text{ scale factor}=\dfrac{\text{x-value of new coordinate }}{\text{x-value of old coordinate}}](https://tex.z-dn.net/?f=%5Ctext%7B%20scale%20factor%7D%3D%5Cdfrac%7B%5Ctext%7Bx-value%20of%20new%20coordinate%20%7D%7D%7B%5Ctext%7Bx-value%20of%20old%20coordinate%7D%7D)
![\text{ scale factor}=\dfrac{3}{6}=\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Ctext%7B%20scale%20factor%7D%3D%5Cdfrac%7B3%7D%7B6%7D%3D%5Cdfrac%7B1%7D%7B2%7D)
Hence, The scale factor of given coordinate