Upon reviewing the functions based on the tables, it is determined that (f - g)(x) is positive in the range of (–∞, 9).----------------------
For the
- subtractive
- function, we simply subtract the two functions, leading to:
It retains a
- positive
- value when f is greater than g, which means: f(x) > g(x).Being a linear function, one will be greater prior to the equality, while the other will take precedence afterward.
- They intersect at x = 9.
- If x < 9, then f(x) is greater than g(x), thus, (f - g)(x) remains positive, which indicates that the
- required interval is:(–∞, 9)
A related problem can be found at
Let’s determine the actual mean
First, we sum all the values
87+46+90+78+89 = 390
Then, we divide 390 by the count of numbers present.
390/5 = 78
Thus, the mean is 78
Emi did not manage to calculate the difference
James will retain his original t toy cars along with half of (t+13) cars, resulting in a total of...
... t + (t + 13/2) = (3t + 13)/2.... cars after receiving a gift from Paul.
Answer:
a. Alice
b. Briana
c. 0.51 minutes
Step-by-step explanation:
a. Alice's formula is applicable for any t > 0 minutes, while Briana’s is only applicable when
2t - 1 > 0
2t > 1
t > 1/2 minutes
b. They complete the race when their total distance equals 5 kilometers. For Alice:
t/4 = 5
t = 20 minutes
For Briana:
√(2t - 1) = 5
2t - 1 = 25
2t = 26
t = 13 minutes
c. They reach the same point when they have traveled the same distance, expressed as:
t/4 = √(2t - 1)
(t/4)² = 2t - 1
t²/16 = 2t - 1
t² = 16(2t - 1)
t² = 32t - 16
t² - 32t + 16 = 0
Using the quadratic formula:
Only the second solution fits this scenario because the race concluded before they took 31.49 minutes.
