Answer:
B
Step-by-step explanation:
No solutions
Answer:
t ∈ {1, 3}
Step-by-step explanation:
You want to find t such that ...
h = 27
27 = -8t^2 +32t +3 . . . . . . substitute the expression for h
24 = -8t^2 +32t . . . . . . . . . subtract 3
-3 = t^2 -4t . . . . . . . . . . . . . divide by -8
1 = t^2 -4t +4 = (t -2)^2 . . . . add 4 to complete the square
±√1 = t -2 . . . . . . . . . . . . . . take the square root
t = 2 ± 1 . . . . . . . . . . . . . . . . add 2
t = 1 or 3
The object is 27 ft off the ground at t = 1 and again at t = 3.
Answer: 2/3
Step-by-step explanation: We can rewrite the ratio 6 out of 9 as the fraction 6/9 by putting 6 in the position of the numerator and 9 in the position of the denominator.
Notice however, 6/9 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 9 which is 3 to get the equivalent fraction 2/3.
Therefore, the ratio 6 out of 9 can be rewritten as the fraction 2/3.
Answer:
28x + 8y + 2
Step-by-step explanation:
Combine like-terms within the parentheses, then distribute -2.
Hope this helps! :)