Answer:
The factorization of 
is 
Step-by-step explanation:
This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form 
or 
. It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).
Let's solve the factorization of by using the <em>sum and difference of cubes </em>factorization.
1.) We calculate the cubic root of each term in the equation , and the exponent of the letter x is divided by 3.
![\sqrt[3]{729x^{15}} =9x^{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729x%5E%7B15%7D%7D%20%3D9x%5E%7B5%7D)
then ![\sqrt[3]{10^{3}} =10](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B10%5E%7B3%7D%7D%20%3D10)
So, we got that
which has the form of which means is a <em>sum of cubes.</em>
<em>Sum of cubes</em>
with 
y 
2.) Solving the sum of cubes.
.
3:1 should be the answer.
Negative correlation between two variables means when x is increasing but y is decreasing or vice versa.
First graph of suffered animals and children shows a positive slope which means if age of child increasing then numbers of suffered animal is also increasing.So, the first graph show a positive correclation.
Second graph of survey of adults doesn't represnt any distinct relationship as the data scattered randomly everywhere in the graph. So, it's showsa very week correlation.
Third graph of speed and MPG shows a negative slope as speed is increasing then MPG is decreasing. So, the third graph (speed and MPG) shows a negative correlation.
I may not fully understand the question but the value of 7 is 7. The value of 6 is 6 and the value of 9 is 9.
Answer:
Step-by-step explanation:
x^2 + 1 -2x + 5
x^2 - 2x + 6
