Answer:
LCD = 4 x^2
Step-by-step explanation:
The least common denominator : LCD
(x + 1) / 4x and (3(x + 1)) / 2x^2
factor 4x : 2, 2, x
factor 2x^2 : 2, x, x^2
take highest powers 2^2 and x^2
LCD is 4*x^2
Answer:
f(x) = x⁴-6x³-13x²+66x+72
Step-by-step explanation:
Factors are: (x+3)(x+1)(x-4)(x-6)
[(x+3)(x+1)][(x-4)(x-6)]
[x²+3x+x+3][x²-4x-6x+24]
(x²+4x+3)(x²-10x+24)
x⁴+4x³+3x²-10x³-40x²-30x+24x²+96x+72
f(x) = x⁴-6x³-13x²+66x+72
Answer:
t = 64g
Step-by-step explanation:
This is quite straightforward
Let n be the number of tokens he is charged per game.
88 = 2200 - 33n
33n = 2200 - 88
33n = 2112
n = 2112/33 = 64
Now, we write the relation. The number of tokens t at any point in time is 64 multiplied by the number of games
t = 64g
Answer:
Step-by-step explanation:
<u>Let the number be x, and we have equation:</u>
- 16x + 2 = -7x - 21
- 16x + 7x = - 21 - 2
- 23x = - 23
- x = -1
The number is -1
To determine the number of cars that will be sold by the year 2020, we will use the equation,
N = (N1)(1 - r)^(t)
where N1 is the starting number of cars, r is the rate of the decrease, and t is the number of years from 2012. Substituting the konwn values,
N = (500)(1 - 0.028)^(8)
N = 398.38
The closest integer to the calculated value is 398. Thus, the answer is 398 cars.
