The answer is A. <span>m = undefined, C'D' = 13.2 units. When you dilate both C and D with the scale factor 2.2 with the origin as the center of dilation, their coordinates respectively become the following:
C' (22, 13.2) and D (22,26.4)
The difference between 26.4 and 13.2 is 13.2. The slope is undefined since it is s vertical line.
</span>
The range of this function is all real numbers. When it is a linear function it can reach negative and positive infinity.
Answer:
f[g(1)]=6.
Explanation:
Given f(n) and g(n) defined below:
![\begin{gathered} f\mleft(n\mright)=n^2-3 \\ g\mleft(n\mright)=4n-1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%5Cmleft%28n%5Cmright%29%3Dn%5E2-3%20%5C%5C%20g%5Cmleft%28n%5Cmright%29%3D4n-1%20%5Cend%7Bgathered%7D)
First, we evaluate g(1):
![\begin{gathered} g\mleft(1\mright)=4(1)-1 \\ =4-1 \\ g(1)=3 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20g%5Cmleft%281%5Cmright%29%3D4%281%29-1%20%5C%5C%20%3D4-1%20%5C%5C%20g%281%29%3D3%20%5Cend%7Bgathered%7D)
Therefore:
![\begin{gathered} f\mleft(g(1)\mright)=f\mleft(3\mright) \\ f\mleft(3\mright)=3^2-3 \\ =9-3 \\ =6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%5Cmleft%28g%281%29%5Cmright%29%3Df%5Cmleft%283%5Cmright%29%20%5C%5C%20f%5Cmleft%283%5Cmright%29%3D3%5E2-3%20%5C%5C%20%3D9-3%20%5C%5C%20%3D6%20%5Cend%7Bgathered%7D)
Therefore, f[g(1)]=6.
Let x = the number.
"increased by" tells you we are adding.
"twice a number" tells you 2 times a number.
16 + 2x = - 24
Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.
2x = - 24 - 16
2x = - 40
Divide by 2 to isolate the variable.
x = - 40/2 = - 20
Your solution is - 20.
To check your answer, plug in.
16 + 2(-20) = - 24
16 - 40 = - 24
- 24 = - 24