Answer:
1.5 seconds
Step-by-step explanation:
Since f(x) represents the distance from the ground to the rock (in feet), we just need to find the values of x for which f(x) = 340. Substituting f(x) = 340 into f(x) = -16x² - 4x + 382 gives us:
340 = -16x² - 4x + 382
0 = -16x² - 4x + 42 (Subtract 340 from both sides)
16x² + 4x - 42 = 0 (Multiply entire equation by -1, "flip" equation)
8x² + 2x - 21 = 0 (Divide entire equation by 2)
(4x + 7)(2x - 3) = 0 (Factor LHS)
4x + 7 = 0 or 2x - 3 = 0 (Zero Product Property)
4x = -7 or 2x = 3 (Subtract -7 and add 3 from/to both sides, respectively)
or 
x = -1.75 is an extraneous solution because in the context of the question, you can't have negative seconds so therefore, the final answer is 1.5 seconds.
Hope this helps!
Hello here is a solution :
<span> |x + 2| < 5
-5</span>< x+2<5
-5-2 < x+2-2 <5-2
-7<x<3
<span>interval notation : open (-7) ; open(3)</span>
Answer:
64. 75 degrees fahrenheit had dropped
65. The temperature would be -15 degrees fahrenheit
Step-by-step explanation:
64. 25,000 divided by 1,000 = 25 25 times 3 = 75
65. 60 - 75 = -15
Answer:
What is it?
Step-by-step explanation: