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!
Answer:
N/A
Step-by-step explanation:
The n has be divisable by to where that number plus 2 equals 2.
Step-by-step explanation:
well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.
a)
therefore, 10 CD cases are 11×10 = 110 mm high.
b)
y = 11x
Answer:
985
Step-by-step explanation:
The absolute value of a number is its distance from 0. This means a number would be itself if it was positive and if it was negative it would be its opposite. Since 985 is positive, |985| would just be 985.
Answer:
Use the formula for Arithmetic only if it is Arithmetic: a1+ (n-1)d
a represents the first number in the sequence, n represents the number, and d represent common difference
Use the formula for geometric sequence: an=a1r the exponent of r to n-1
an represents the nth term you are trying to find, a1 represents the first number, r represents the common ratio, and n-1 is just the nth term minus 1.
Once you figure out if the sequence is arithmetic or geometric you one of those formulas.