This is done by factoring. 1/8 is smaller than 1/2, so we can factor a 1/8 out of 1/2. This is what that looks like:

, because factoring after all is a form of division. When we divide a fraction by a fraction, we bring the lower fraction up and flip it to multiply, giving us this:

. This of course reduces to 4. So when we factor out 1/8, what we will have then is

, choice D from above.
<span><span>fx</span>=<span><span><span>x3</span>−<span>4<span>x2</span></span></span>−<span>12x</span></span></span>.<span><span><span><span><span>fx/</span>x</span></span></span>=<span><span><span><span><span><span>x3</span>−<span>4<span>x2</span></span></span>−<span>12x/</span></span>x</span></span>
</span></span><span>f=<span><span><span>x2</span>−<span>4x</span></span>−<span>12</span></span></span>
Answer:
The first one is not a function
The second is a function
Third not a function
Fourth is a function
Step-by-step explanation:
Answer:

Step-by-step explanation:
From inspection of the graph, we can see that the curve intercepts the x-axis at (-4, 0), (-1, 0) and (3, 0)
Therefore,
x = -4 ⇒ x + 4 = 0
x = -1 ⇒ x + 1 = 0
x = 3 ⇒ x - 3 = 0
Because (-4, 0) touches the x-axis, then (x + 4)² will be a factor
So (x + 4)², (x + 1) and (x - 3) are all factors of the polynomial

If we multiply the constants, this will give us the y-intercept:
⇒ 4² x 1 x -3 = -48
From inspection of the graph, the y-intercept is -6
So to get from -48 to -6 we need to multiply -48 by 1/8
Therefore, n = 1/8

Answer:
20 feet
Step-by-step explanation:
1st piece = x
2nd piece = 2x
3rd piece = 6x
x+2x+6x=180
9x=180
x=20
so the first piece is 20 feet, the second is 40, and the third is 120.