Answer: 691
<u>Step-by-step explanation:</u>
There are 3 different ways to find the remainder. I am not sure which method you are supposed to use, so I will solve using all 3 methods.
Long Division:
<u> 10x³ + 24x² + 77x + 230 </u>
x - 3 ) 10x⁴ - 6x³ + 5x² - x + 1
- <u>(10x⁴ - 30x³) </u> ↓ ↓ ↓
24x³ + 5x² ↓ ↓
- <u>(24x³ - 72x²) </u> ↓ ↓
77x² - x ↓
- <u>(77x² - 231x) </u> ↓
230x + 1
- <u>(230x - 690)</u>
691 ← remainder
Synthetic Division:
x - 3 = 0 ⇒ x = 3
3 | 10 -6 5 -1 1
|<u> ↓ 30 72 231 690</u>
10 24 77 230 691 ← remainder
Remainder Theorem:
f(x) = 10x⁴ - 6x³ + 5x² - x + 1
f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3) + 1
= 810 - 162 + 45 - 3 + 1
= 691
Answer:
3x +2
Step-by-step explanation:
3x-7+9
Combine like terms
3x +2
Answer:
$0.56
Step-by-step explanation:
Cost of 3 1/3 pounds of beef at $1.35 per pound
= 3 1/3 × 1.35
= 10/3 × 1.35
= $4.5
He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $
= $4.5 / 8
= $0.5625
Approximately $0.56 to the nearest cent
-2/3 is the only one representing a repeating decimal. When you divine 2 by 3, you get .6 repeating.
Answer: 57.34
Step-by-step explanation: