Answer:
x^3 - 3x^2 - 3x + 9 + (-36/(x+3))
OR
x^3 - 3x^2 - 3x + 9 - (36/(x+3))
Step-by-step explanation:
First set the divisor equal to 0:
x + 3 = 0
Subtract 3 from both sides
x = -3
This is what you'll divide the dividend by in synthetic division.
Take the coefficents of each term in the dividend. Do not forget the 0 placeholders:
x^4 + 0x^3 - 12x^2 + 0x -9
Coefficents: 1. 0. -12. 0 -9.
Please see the image for the next steps.
The remainder is -36. Put the remainder over the divisor and add it to the polynomial (shown in image)
-36/(x+3)
f(x)= -1/2x-7 (better expressed as f(x) = (-1/2)x - 7 ) has a negative slope, so as x increases, y decreases. Answer D is correct.
Answer:
52.9 inches .
Step-by-step explanation:
Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.
As we know that the area of triangle is ,
Substituting the respective values,
On using the <u>Quadratic</u><u> formula</u> , we have;

On simplifying above , we will get ,

Since sides can't be negative, therefore,

Therefore ,
Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;
Now we may find perimeter as ,
