Hi there!
![f(x)+f(x+1)=4f(x)](https://tex.z-dn.net/?f=f%28x%29%2Bf%28x%2B1%29%3D4f%28x%29)
There are 3 parts to this equation:
f(x)
f(x+1)
4f(x)
We must first determine these three parts separately.
<u>1) f(x)</u>
We're given that
:
⇒
:
<u>2) f(x+1)</u>
Now, we must find f(x+1). To do so, add 1 to x in the original function
:
⇒ ![f(x+1)=3^x^+^1](https://tex.z-dn.net/?f=f%28x%2B1%29%3D3%5Ex%5E%2B%5E1)
<u>3) 4f(x)</u>
To find 4f(x), multiply the original function
by 4:
:
<u>4) Put it all together</u>
Now, plug each of the three parts into the equation
:
![f(x)+f(x+1)=4f(x)](https://tex.z-dn.net/?f=f%28x%29%2Bf%28x%2B1%29%3D4f%28x%29)
![3^x+3^x^+^1=4*3^x\\3^x+3^x*3=4*3^x](https://tex.z-dn.net/?f=3%5Ex%2B3%5Ex%5E%2B%5E1%3D4%2A3%5Ex%5C%5C3%5Ex%2B3%5Ex%2A3%3D4%2A3%5Ex)
Factor the left side
![3^x*(1+3)=4*3^x](https://tex.z-dn.net/?f=3%5Ex%2A%281%2B3%29%3D4%2A3%5Ex)
Divide both sides by 3^x
![1+3=4\\4=4](https://tex.z-dn.net/?f=1%2B3%3D4%5C%5C4%3D4)
Because this equation is true,
is therefore true.
I hope this helps!
Because the left side sqrt is multiplied by 3 if it was just added it would be correct because it would cancel out and leave the 3’s. Since it’s multiplied it would change the value
A and B.
60/100 • p = 9 will give you 60 % of the test questions
0.6p = 9 will also give you 60% of the test questions
60 - p = 9 will take away 60 questions from the test making it wrong
60+p = 9 will add 60 questions to the test making it wrong
9+p = 60 will add 9 questions to the test making it wrong
Answer
y=1/2x-5
Step-by-step explanation:
any line with a 1/2 must be parallel also it cannot be the same line or they wont be parallel
Step-by-step explanation:
The total number of people who did the survey is 12. The number of people who read 0-2 books is 2, and the number of people who read 3-5 books is 3. Everything else is over 6. So 2+3 is 5.
Therefore, D 5/12 is the answer