This equation follows the format y=mx+b, where m is the slope of the line and b is the y intercept. In this question, the slope of the line is -2 and the y-intercept is 5.
<em>The slope of the line is -2:</em> this means that each point is down 2 and to the right 1 of each other.
<em>The y-intercept is 5</em>: this means that the line crosses the y-axis at 5.
The picture shows the graphed line.
Hope this helps!
Answer:
Your account is going to be worst $405,142.92
Step-by-step explanation:
This is a compound interest problem.
The compound interest formula is given by:
![A = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.
So, for this problem:
We want to find A
![P = 55,000](https://tex.z-dn.net/?f=P%20%3D%2055%2C000)
![n = 1](https://tex.z-dn.net/?f=n%20%3D%201)
![r = 0.105](https://tex.z-dn.net/?f=r%20%3D%200.105)
![t = 20](https://tex.z-dn.net/?f=t%20%3D%2020)
![A = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![A = 55000(1 + \frac{0.105}{1})^{20}](https://tex.z-dn.net/?f=A%20%3D%2055000%281%20%2B%20%5Cfrac%7B0.105%7D%7B1%7D%29%5E%7B20%7D)
![A = 405,142.92](https://tex.z-dn.net/?f=A%20%3D%20405%2C142.92)
Your account is going to be worst $405,142.92
Answer: A. 2x2 - 3x - 8
Just subtract the functions and combine like terms
(f - g)(x) = f(x) - g(x)
(f - g)(x) = 2x^2 - 5 -(3x + 3)
(f - g)(x) = 2x^2 - 5 - 3x - 3
(f - g)(x) = 2x^2 - 3x - 8
None of the polynomials has four terms in it.
<h2>Polynomial </h2>
It is the sum of terms in which the variable is in decreasing power of n.
<h2>Given</h2>
Polynomial is in factor form
![\rm 1.\ (x^{2} )(6x-27)(x^{2} )(3x)(-9x -27)\\ 2.\ (x^{3} )(x-9)(x^{2} )(6x)(-3x-27)\\ 3.\ (x^{6} )(x-3)(x^{2} )(9x)(-3x-27)\\ 4.\ (x^{9} )(x-3)(x^{2} )(3x)(-6x-27)\\ 5.\ (x^{3} )(x-6)](https://tex.z-dn.net/?f=%5Crm%201.%5C%20%20%28x%5E%7B2%7D%20%29%286x-27%29%28x%5E%7B2%7D%20%29%283x%29%28-9x%20-27%29%5C%5C%0A2.%5C%20%20%28x%5E%7B3%7D%20%29%28x-9%29%28x%5E%7B2%7D%20%29%286x%29%28-3x-27%29%5C%5C%0A3.%5C%20%20%28x%5E%7B6%7D%20%29%28x-3%29%28x%5E%7B2%7D%20%29%289x%29%28-3x-27%29%5C%5C%0A4.%5C%20%20%28x%5E%7B9%7D%20%29%28x-3%29%28x%5E%7B2%7D%20%29%283x%29%28-6x-27%29%5C%5C%0A5.%5C%20%20%28x%5E%7B3%7D%20%29%28x-6%29)
<h2>How to solve polynomial? </h2>
![\begin{aligned} \rm 1.\ &(x^{2} )(6x-27)(x^{2} )(3x)(-9x -27)\\ &-162x^{7}- 243x^{6} +2187x^{5} \\ 2.\ &(x^{3} )(x-9)(x^{2} )(6x)(-3x-27)\\ &-18x^{8} +1458x^{6} \\ 3.\ &(x^{6} )(x-3)(x^{2} )(9x)(-3x-27)\\ &-27x^{11}-162 x^{10} 729x^{9} \\ 4.\ &(x^{9} )(x-3)(x^{2} )(3x)(-6x-27)\\ -&18x^{13} -27x^{12} +243x^{11} \\ 5.\ &(x^{3} )(x-6)\\ &x^{4} -6x^{3} \\ \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%20%5Crm%201.%5C%20%20%26%28x%5E%7B2%7D%20%29%286x-27%29%28x%5E%7B2%7D%20%29%283x%29%28-9x%20-27%29%5C%5C%0A%26-162x%5E%7B7%7D-%20243x%5E%7B6%7D%20%2B2187x%5E%7B5%7D%20%5C%5C%0A2.%5C%20%20%26%28x%5E%7B3%7D%20%29%28x-9%29%28x%5E%7B2%7D%20%29%286x%29%28-3x-27%29%5C%5C%0A%26-18x%5E%7B8%7D%20%2B1458x%5E%7B6%7D%20%5C%5C%0A3.%5C%20%20%26%28x%5E%7B6%7D%20%29%28x-3%29%28x%5E%7B2%7D%20%29%289x%29%28-3x-27%29%5C%5C%0A%26-27x%5E%7B11%7D-162%20x%5E%7B10%7D%20729x%5E%7B9%7D%20%5C%5C%0A4.%5C%20%20%26%28x%5E%7B9%7D%20%29%28x-3%29%28x%5E%7B2%7D%20%29%283x%29%28-6x-27%29%5C%5C%0A-%2618x%5E%7B13%7D%20-27x%5E%7B12%7D%20%2B243x%5E%7B11%7D%20%5C%5C%0A5.%5C%20%20%26%28x%5E%7B3%7D%20%29%28x-6%29%5C%5C%0A%26x%5E%7B4%7D%20-6x%5E%7B3%7D%20%5C%5C%0A%5Cend%7Baligned%7D)
Thus, none of the polynomials has four terms in it.
More about the polynomial link is given below.
brainly.com/question/17822016