1.6 × 1.6 × 1.6 × 1.6 = 6.5536
<span>m-3x=2x+p
m-x=p (- 2x on both sides)
-x=p-m (- m on both sides)
answer: x=-p+m (divide -1 on both side)
</span>
Answer:
x = 2
x = -3/2 or -1.5
Step-by-step explanation:
For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!
First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.
The equation becomes:
x² - x - 6(2) = 0
x² - x - 12 = 0
Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).
Automatically, think of 3 and 4, because the difference between them is 1.
The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.
This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".
It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)
With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.
The initial value of the graph is where 
. Thus, in this case, the initial value is 12.
The rate of change of the graph is essentially the slope of the graph. In this case, we can use the slope formula:
and 
are points on the graph
Let's use two points from the chart to find the slope:
In this case, the rate of change of the graph is 9.
![(-64) ^ \frac{-2}{3} =(-1* 2^{6} ) ^ \frac{-2}{3}=(-1)^ \frac{-2}{3} *(2^{6} ) ^ \frac{-2}{3} \\\\x^{-a} = \frac{1}{ x^{a} } \\\\(-1)^ \frac{-2}{3} *(2^{6} ) ^ \frac{-2}{3} = \frac{1}{(-1)^ \frac{2}{3}} *\frac{1}{(2^{6})^ \frac{2}{3}} \\ \\ (x^{a} )^{b}=x^{a*b} \\\\x^{ \frac{a}{b} = \sqrt[b]{ x^{a} } } \\ \\ ](https://tex.z-dn.net/?f=%28-64%29%20%5E%20%5Cfrac%7B-2%7D%7B3%7D%20%3D%28-1%2A%202%5E%7B6%7D%20%29%20%5E%20%5Cfrac%7B-2%7D%7B3%7D%3D%28-1%29%5E%20%5Cfrac%7B-2%7D%7B3%7D%20%2A%282%5E%7B6%7D%20%29%20%5E%20%5Cfrac%7B-2%7D%7B3%7D%20%5C%5C%5C%5Cx%5E%7B-a%7D%20%3D%20%20%5Cfrac%7B1%7D%7B%20x%5E%7Ba%7D%20%7D%20%5C%5C%5C%5C%28-1%29%5E%20%5Cfrac%7B-2%7D%7B3%7D%20%2A%282%5E%7B6%7D%20%29%20%5E%20%5Cfrac%7B-2%7D%7B3%7D%20%3D%20%5Cfrac%7B1%7D%7B%28-1%29%5E%20%5Cfrac%7B2%7D%7B3%7D%7D%20%2A%5Cfrac%7B1%7D%7B%282%5E%7B6%7D%29%5E%20%5Cfrac%7B2%7D%7B3%7D%7D%20%5C%5C%20%20%5C%5C%20%20%28x%5E%7Ba%7D%20%29%5E%7Bb%7D%3Dx%5E%7Ba%2Ab%7D%20%5C%5C%5C%5Cx%5E%7B%20%5Cfrac%7Ba%7D%7Bb%7D%20%3D%20%5Csqrt%5Bb%5D%7B%20x%5E%7Ba%7D%20%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%0A)
![\frac{1}{(-1)^ \frac{2}{3}} *\frac{1}{2^{6*\frac{2}{3}}} = \frac{1}{ \sqrt[3]{(-1)^{2} } } * \frac{1}{ 2^{4} } = \frac{1}{ \sqrt[3]{1} } * \frac{1}{16} = \frac{1}{1} * \frac{1}{16}= \frac{1}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%28-1%29%5E%20%5Cfrac%7B2%7D%7B3%7D%7D%20%2A%5Cfrac%7B1%7D%7B2%5E%7B6%2A%5Cfrac%7B2%7D%7B3%7D%7D%7D%20%3D%20%5Cfrac%7B1%7D%7B%20%5Csqrt%5B3%5D%7B%28-1%29%5E%7B2%7D%20%7D%20%7D%20%2A%20%5Cfrac%7B1%7D%7B%202%5E%7B4%7D%20%7D%20%3D%20%20%5Cfrac%7B1%7D%7B%20%5Csqrt%5B3%5D%7B1%7D%20%7D%20%2A%20%5Cfrac%7B1%7D%7B16%7D%20%3D%20%5Cfrac%7B1%7D%7B1%7D%20%2A%20%5Cfrac%7B1%7D%7B16%7D%3D%20%5Cfrac%7B1%7D%7B16%7D)
