Answer: 4^-2
Step-by-step explanation:
the Bases stays the same the powers changes to negative -2 because you are stubtracting 6-8 which gives you negative -2.
The value of a is 9, the correct option is B.
Given
Hank’s teacher asked him to verify that the product (y−3)(y2+3y+9), is a difference of cubes.
<h3>Quadratic equation;</h3>
The equation which has the highest degree is 2 is called quadratic equation;
![\rm ax^2+bx+c=0](https://tex.z-dn.net/?f=%5Crm%20ax%5E2%2Bbx%2Bc%3D0)
Where a, b, and c are the constants.
The given polynomial is;
![\rm (y-3)(y^2+3y+9)](https://tex.z-dn.net/?f=%5Crm%20%20%28y-3%29%28y%5E2%2B3y%2B9%29)
On multiplying the terms;
![\rm (y-3)(y^2+3y+9)\\\\y(y^2+3y+9)-3(y^2+3y+9)\\\\y^3+3y^2+9y-3y^2-9y-27\\\\](https://tex.z-dn.net/?f=%5Crm%20%20%28y-3%29%28y%5E2%2B3y%2B9%29%5C%5C%5C%5Cy%28y%5E2%2B3y%2B9%29-3%28y%5E2%2B3y%2B9%29%5C%5C%5C%5Cy%5E3%2B3y%5E2%2B9y-3y%5E2-9y-27%5C%5C%5C%5C)
On comparing;
![\rm ay = 9y\\\\a=9](https://tex.z-dn.net/?f=%5Crm%20ay%20%3D%209y%5C%5C%5C%5Ca%3D9)
Hence, the value of a is 9.
To know more about polynomial click the link is given below.
brainly.com/question/6169816
Step-by-step explanation:
I tried graphing it hope this helps <333
Answer:
x=4.6
Step-by-step explanation:
4.2x=19.32
x=19.32:4.2
x=4.6
<u>Answer-</u>
The average U.S. public debt per American is approximately $29,400
<u>Solution-</u>
Given in the question,
U.S public debt as of October 2010 = $9.06×10¹²
Population of U.S in 2010 = 3.08×10⁸
We have to calculate the average U.S. public debt per American,
![\text{Average debt per American}=\frac{\text{Total debt}}{\text{Population}}\\\\=\frac{9.06\times 10^{12}}{3.08\times 10^8}\\\\=2.9415\times 10^{(12-8)}\\\\=2.9415\times 10^4 \approx 2.94\times 10^4=29,400](https://tex.z-dn.net/?f=%5Ctext%7BAverage%20debt%20per%20American%7D%3D%5Cfrac%7B%5Ctext%7BTotal%20debt%7D%7D%7B%5Ctext%7BPopulation%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B9.06%5Ctimes%2010%5E%7B12%7D%7D%7B3.08%5Ctimes%2010%5E8%7D%5C%5C%5C%5C%3D2.9415%5Ctimes%2010%5E%7B%2812-8%29%7D%5C%5C%5C%5C%3D2.9415%5Ctimes%2010%5E4%20%5Capprox%202.94%5Ctimes%2010%5E4%3D29%2C400)
Therefore, the average U.S. public debt per American is $29,400 (after rounding off)