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)
Answer:
So the time is 5:17 a.m.
Explanation:
Note that:
11:32 pm is 28 minutes before midnight.
Adding the 534 hours will take the time into early morning.
So all we need to do to find the new time (am) is to subtract 28 minutes from 534 hours.
534→5 hours and 45 minutes
Subtracting the minutes:
45
28−− ← Subtract
17
So the time is 5:17 a.m.
Answer: Mason made $185.00
Step-by-step explanation:
For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3. (Just ignore the "suits part ._.)
250*.05=12.50
250*.08=20
12.50*10=125
3*20=60
125+60=185.
Answer:
280 ft squared
Step-by-step explanation:
To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.
The total area is that of a rectangle: 30 * 15 = 450 ft squared.
Now, the shaded region is made up of a rectangle and a triangle.
- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.
- The triangle has base 12 and height 15, so using the area of a triangle formula: 
(where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.
- The total shaded region is: 80 + 90 = 170 ft squared
Subtract 110 from 450: 450 - 170 = 280 ft squared.
Thus, the answer is 280 ft squared.
Hope this helps!
Answer:
unicorn
Step-by-step explanation:
