Answer:
g o f = -[f(x)]² + 3 = -(|x|)² + 3 = -x² + 3 = g(x)
Step-by-step explanation:
g o f = g [ f(x) ]
This means replace the x of g(x) with f(x):
g o f = -[f(x)]² + 3 = -(|x|)² + 3
As x² ≥ 0 for any value of x (whether it be positive or negative), then -(|x|)² + 3 = -x² + 3 = g(x)
So g o f = g(x)
5/12 and 3/8 is the answer
To solve the question, use the equation y=mx+b. Since you already know the slope (m), all you need is to find the b. Plug in the x and y from the point (9,2) and m:
2=3(9)+b
2=27+b (subtract 27 on both sides)
b=-25
The equation is y=3x-25
Answer:
<h2>$212.8</h2>
Step-by-step explanation:
If the car loses 11.1% per year, we need to calculate how much money is that:
; this value is the lost per year.
Now, in order to calculate this loss per month, we divide it by 12:
Hence, the monthly value decrease is $212.8, rounding it to the tenth.
Answer:
The required probability = 0.144
Step-by-step explanation:
Since the probability of making money is 60%, then the probability of losing money will be 100-60% = 40%
Now the probability we want to calculate is the probability of making money in the first two days and losing money on the third day.
That would be;
P(making money) * P(making money) * P(losing money)
Kindly recollect;
P(making money) = 60% = 60/100 = 0.6
P(losing money) = 40% = 40/100 = 0.4
The probability we want to calculate is thus;
0.6 * 0.6 * 0.4 = 0.144
