Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:
![f(x)=x^4-2x^3-27x^2-9x+18](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E4-2x%5E3-27x%5E2-9x%2B18)
And we want to find the remainder after it is divided by the binomial:
![x+4](https://tex.z-dn.net/?f=x%2B4)
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).
Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).
Therefore, <em>a</em> = -4.
Then according to the PRT, the remainder will be:
![f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6](https://tex.z-dn.net/?f=f%28-4%29%3D%28-4%29%5E4-2%28-4%29%5E3-27%28-4%29%5E2-9%28-4%29%2B18%3D6)
The remainder will be 6.
Here is your answers worked out !
A cylinder with the same radius and height as a cone will have 3 times the volume of the cone.
Vcone = (1/3)*π*r^2*h
Vcylinder = π*r^2*h
First part its 4C2 = 4*3 / 2 = 6
Second part
12 * 100
---------- = 4.3 %
280
Answer:
y=3x+1, or the second option
Step-by-step explanation:
We can see on the graph the line converges with the y-axis at (0, 1), so we can cross out the last two answers. Then we can also see that the slope is 3 on the graph and an equation that has x^2 must be a parabola. The answer is then narrowed down to the second option.