the answer will be D) 1/3
16/16 = 1
48/16 = 3
Answer:
Karson's average speed on his way home was 28 miles per hour.
Step-by-step explanation:
Since Karson drove from his house to work at an average speed of 35 miles per hour, and the drive took him 20 minutes, if the drive took him 25 minutes and he used the same route in reverse, to determine what was his average speed going home, the following calculation must be performed:
60 = 35
20 = X
20 x 35/60 = X
700/60 = X
11.666 = X
25 = 11,666
60 = X
60 x 11.666 / 25 = X
27.99 = X
Therefore, Karson's average speed on his way home was 28 miles per hour.
Answer:
(a) and (b) are true
Step-by-step explanation:
a) is true.
b) is true. Replacing x with 8 in the equation y=1/4x-5 results in 2-5, or -3.
c) is false. See (a), above.
d) is false. Replacing x in the equation by 12 results in y = (1/4)(12) - 5, or -2.
Answer:
look at the photo
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Answer:
If I calculated correctly, the tangent line is horizontal where x ≈ -5.3 + 9.3i, and -5.3 - 9.3i
I'm somewhat concerned at having gotten complex numbers, and strongly recommend going through the steps to see if I missed anything. I checked it myself and don't see any errors.
Step-by-step explanation:
You can do this by taking the derivative of the function and solving for zero:
f(x) = 2x³ + 32x² + 220x + 11
f'(x) = 6x² + 64x + 220
f'(x) = 2(3x² + 32x + 110)
We can't factor that further, so let's do it the long way, starting by letting f'(x) equal zero:
0 = 2(3x² + 32x + 110)
0 = 3x² + 32x + 110
0 = 9x² + 96x + 990
0 = 9x² + 96x + 256 + 734
0 = (3x + 16)² + 734
(3x + 16)² = -734
3x + 16 = ± i√734
3x = -16 ± i√734
x = (-16 ± i√734) / 3
x ≈ (-16 + 27.9i) / 3, and (16 - 27.9i) / 3
x ≈ -5.3 + 9.3i, and -5.3 - 9.3i
I'm always wary when I end up with complex numbers. I'd suggest double checking everything here, but I'm fairly certain I did everything correctly.
