Answer:
240
Step-by-step explanation:
Answer:
<u>Given </u>
A
<u>Find the inverse of f(x):</u>
- x = 3 + 6f⁻¹(x)
- 6f⁻¹(x) = x - 3
- f⁻¹(x) = (x - 3) / 6
B
- f · f⁻¹( ∛5/6) =
- f( f⁻¹( ∛5/6)) =
- f((∛5/6 - 3)/6) =
- 3 + 6((∛5/6 - 3)/6) =
- 3 + ∛5/6 - 3 =
- ∛5/6
C
- f · f⁻¹(x) =
- f(f⁻¹(x)) =
- f((x - 3)/6) =
- 3 + 6(x - 3)/6 =
- 3 + x - 3 =
- x
Answer:
1. Infinitely Many Solutions
2. Zero Solutions
3. One Solution ( x = 6 )
Step-by-step explanation:
1.
12x + 8 = 2( 6x + 4 )
12x + 8 = 12x + 8
2.
2( 2x + 1 ) = 4x + 3
4x + 2 = 4x + 3
2 = 3
3.
4( x + 1 ) = 3x + 10
4x + 4 = 3x + 10
x + 4 = 10
x = 6
Hopefully this helps!
Brainliest please?
Eccentricity = foci / half the length of the major axis
= 3.5 / 14 = 1/4
Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
