Answer:
Since the difference between the value for each year is constant, this is an arithmetic sequence.
Step-by-step explanation:
Year 2 - Year 1 = 21,750 - 20,000 = 1,750
Year 3 - Year 2 = 23,500 - 21,750 = 1,750
Year 4 - Year 3 = Year 5 - Year 4 = 1,750
Answer:
8 The victim wasn't mauled by a cougar - Clue 1
20 Dr. Alpha was in the kitchen cooking - Clue 2
-12 The victim had no venomous bites - Clue 3
72 Miss Beta was at the movie theater - Clue 4
14 The victim wasn't electrocuted - Clue 5
14 Coach Omega was sleeping at the atrium - Clue 6
-8 The murder did not include a firearm - Clue 7
-12 Mrs.Gamma was doing yoga at the gym - Clue 8
169 The murder wasn't drowning - Clue 9
-274 Mr.Epsilon was swimming laps at a pool - Clue 10
is what i know, i will figure out in a bit! :D
Step-by-step explanation:
Answer:
f(x) = 12x³ - 19x² + 17x - 17
Step-by-step explanation:
We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.
We're given a denominator of 4x - 5
a quotient of 3x² - x + 3
and a remainder of -2
so the original numerator is:
(4x - 5)(3x² - x + 3) - 2
= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2
= 12x³ - 19x² + 17x - 17
Let's test that by dividing it by 4x -5 with long division:

That matches, so we know our answer's right, and:
f(x) = 12x³ - 19x² + 17x - 17
Answer:
9 9/20
Step-by-step explanation:
4 1/5 * 2 1/4
Change the mixed nubers to improper fractions
4 1/5 = (5*4+1)/5 = 21/5
2 1/4 = (4*2+1) /4 = 9/4
21/5 * 9/4 = 189/20
Now we change it back to a mixed number
20 goes into 189 9 times (20*9 = 180 with 9 left over)
9 9/20
(1,8) im not really good at math but i think this is the answer