During the time that he is stopped for whatever reason the slope of the distance time graph is zero. The slope of a distance time graph is the speed.
Answer: Solved.
Step-by-step explanation: The calculations are as follows -
(12) Given zeroes are 5, -3 and -1 + 3i. So, the other conjugate of -1 + 3i, i.e., -1 - 3i will also be a root of the polynomial. So the polynomial f(x) will be of degree 4 and is given by
![f(x)=(x-5)(x+3)(x+1-3i)(x+1+3i)\\\\\Rightarrow f(x)=(x^2-2x-15)(x^2+2x+1-9i^2)\\\\\Rightarrow f(x)=(x^2-2x-15)(x^2+2x+10)\\\\\Rightarrow f(x)=x^4-9x^2-50x-150.](https://tex.z-dn.net/?f=f%28x%29%3D%28x-5%29%28x%2B3%29%28x%2B1-3i%29%28x%2B1%2B3i%29%5C%5C%5C%5C%5CRightarrow%20f%28x%29%3D%28x%5E2-2x-15%29%28x%5E2%2B2x%2B1-9i%5E2%29%5C%5C%5C%5C%5CRightarrow%20f%28x%29%3D%28x%5E2-2x-15%29%28x%5E2%2B2x%2B10%29%5C%5C%5C%5C%5CRightarrow%20f%28x%29%3Dx%5E4-9x%5E2-50x-150.)
(13) Given polynomial is
![f(x)=x^3-7x^2+9x-24.](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3-7x%5E2%2B9x-24.)
Now, we will substitute the rational numbers in place of 'x' and check whether the value of f(x) becomes zero or not.
We will see that
![f(-1)\neq 0,~~f(1)\neq 0,~~f(2)\neq 0,~~f(-2)\neq 0, ~~f(3)\neq 0, ~~f(-3)\neq 0,~~etc](https://tex.z-dn.net/?f=f%28-1%29%5Cneq%200%2C~~f%281%29%5Cneq%200%2C~~f%282%29%5Cneq%200%2C~~f%28-2%29%5Cneq%200%2C%20~~f%283%29%5Cneq%200%2C%20~~f%28-3%29%5Cneq%200%2C~~etc)
Also, the polynomial is not zero for any rational number.
(14) Given, ![f(x)=7x+6~~\textup{and}~~g(x) = 4x^2.](https://tex.z-dn.net/?f=f%28x%29%3D7x%2B6~~%5Ctextup%7Band%7D~~g%28x%29%20%3D%204x%5E2.)
So,
![(f+g)(x)=f(x)+g(x)=7x+6+4x^2.](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29%3D7x%2B6%2B4x%5E2.)
Thus, the problems are solved.
Answer: 22.87 dollars
Step-by-step explanation:
15+7+0.87= 22.87
(Had to round the number bc the real answer would have too many numbers, so hopefully this still works. The original one was 22.875)
Answer:
3 and 4
Step-by-step explanation:
proportionally it is the same shape and 2/1 is 2 so that's your scale factor