A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function. What is the catch? There can be at most one output for every input.
Answer:
oh! thanks for points
but this is yr question or what????
Hi there!

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
:
⇒ 
<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
:


Factor the left side

Divide both sides by 3^x

Because this equation is true,
is therefore true.
I hope this helps!
Answer:
3x+8=68 degrees
6x-8= 112 degrees
Step-by-step explanation:
3x+8+6x-8=180
9x=180
x=20
3*20+8=68
6*20-8=112
Answer:
10 years
Step-by-step explanation:
We can use the equation for simple interest: <em>I = P(1 + (R*T))</em>, and change some of the numbers: <em>2P = P(1 + (0.11*T))</em>
Divide: <em>2 = 1 + (0.11*T)</em>
Subtract: <em>1 = 0.11*T</em>
Divide: <em>T = 100/11 ≈ 9.09</em> ⇒ 10 years (rounded up because it won't be doubled until the next year)