![$f(x)+f(x+1) \stackrel{1}{=} 3^x+3^{x+1} \stackrel{2}{=} 3^x+3^x\cdot3^1\stackrel{3}{=}3^x+3\cdot3^x\stackrel{4}{=}4\cdot3^x\stackrel{5}{=}4\cdot f(x)](https://tex.z-dn.net/?f=%24f%28x%29%2Bf%28x%2B1%29%20%5Cstackrel%7B1%7D%7B%3D%7D%203%5Ex%2B3%5E%7Bx%2B1%7D%20%5Cstackrel%7B2%7D%7B%3D%7D%203%5Ex%2B3%5Ex%5Ccdot3%5E1%5Cstackrel%7B3%7D%7B%3D%7D3%5Ex%2B3%5Ccdot3%5Ex%5Cstackrel%7B4%7D%7B%3D%7D4%5Ccdot3%5Ex%5Cstackrel%7B5%7D%7B%3D%7D4%5Ccdot%20f%28x%29)
1) Substitution from definition.
2) We use ![$x^{a+b}=x^a\cdot x^b](https://tex.z-dn.net/?f=%24x%5E%7Ba%2Bb%7D%3Dx%5Ea%5Ccdot%20x%5Eb)
3) We are changing the order of 3 and
.
4) We add 1 and 3
and we get ![4\cdot 3^x](https://tex.z-dn.net/?f=4%5Ccdot%203%5Ex)
5) Substitution from definition (but the other way than at the beginning).
Answer:- AAS postulate
Explanation:-
- AAS postulate tells that if two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.
Given:- One angle and one side of a triangle is equal to the one angle and one side of the other triangle.
We see there is one more pair of equal angles as they are vertically opposite angles . [See the attachment]
⇒ there is a triangle where two angles and a non-included side of a triangle to equal to the two angles and a non-included side of another triangle then the two triangles are said to be congruent.
⇒ The triangles are congruent [ by ASA postulate]
Answer:
6 3/8 inches (6.375 inches)
Step-by-step explanation:
For simplicity we'll assume that both the photo and the poster board are square. To determine the width of the border, subtract 8.5 inches from the poster board width 21.25 inches, obtaining 12.75 inches, and then divide that 12.75 inches by 2: 6.375 inches (6 3/8 inches).
Set the photo 6 3/8 inches from each edge of the poster board.
C
You split inequality into
2x-2>8 and 2x—2<-8
X>5. X<-3
The question is saying that if you buy 5 lbs, you have to pay $2.49. That means that 1 lb is $2.49/5 which (rounded to the nearest cent) is $0.50