Answer:
6x^2-17x+12
Step-by-step explanation:
Answer:
t ≤ -7
Step-by-step explanation:
−4t≥28
−4/4 * t ≥ 28/4
−1 * t ≥ 7
-t ≥ 7
t ≤ -7
Answer:
6 with a remainder of 4
Step-by-step explanation:
32/5 = 6.4
4 = remainder
Answer:
x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
Step-by-step explanation:
Solve for x:
-3 + sin(x) + 2 sin^2(x) = 0
The left hand side factors into a product with two terms:
(sin(x) - 1) (2 sin(x) + 3) = 0
Split into two equations:
sin(x) - 1 = 0 or 2 sin(x) + 3 = 0
Add 1 to both sides:
sin(x) = 1 or 2 sin(x) + 3 = 0
Take the inverse sine of both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) + 3 = 0
Subtract 3 from both sides:
x = 2 π n_1 + π/2 for n_1 element Z
or 2 sin(x) = -3
Divide both sides by 2:
x = 2 π n_1 + π/2 for n_1 element Z
or sin(x) = -3/2
Take the inverse sine of both sides:
Answer: x = 2 π n_1 + π/2 for n_1 element Z
or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z
The time it will take for the car to skid for 150 feet is 8.23 seconds.
<h3>How to find the time the car will skid?</h3>
The function D(t) = 18t² − 130t gives the distance a car going a certain speed will skid in t seconds.
The time the it would take for the car to skid for 150 feet can be calculated as follows:
Therefore,
D(t) = 18t² - 130t
150 = 18t² - 130t
18t² - 130t - 150 = 0
divide by 3
9t² - 65t - 75 = 0
Hence,
t = 65 ± 5√277 / 18
t = 8.23425471586 or -1.01166666667
Hence,
t = 8.23 seconds.
Therefore, the time it will take for the car to skid for 150 feet is 8.23 seconds.
learn more on function here: brainly.com/question/13927655
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