The diver will hit the water when the height is zero, so we will want to set our height function equal to zero
0 = -4t^2 + 11t + 3
we will then factor to find out value of t that make the function equal to zero
0 = (-4t - 1 ) ( t - 3 )
This means our function equals zero when t = -1/4 s and t = 3 seconds
Since time cannot be negative, our final solution is t = 3 seconds
∈ ≤ ≥
-6 ≤ 2x + 6 ≤ 6 ( seperate the two inequalities)
2x + 6 ≥ - 6
2x + 6 ≤ 6 (solve the inequalities)
x ≥ -6
x ≤ 0 (find the intersection)
solution is : x ∈ { -6, 0 }
Answer:
-1
Step-by-step explanation:
g(2) = (2) - 3(2) + 4(2) - 5
g(2) = 2 - 6 + 8 - 5
g(2) = 2 - 6 + 3
g(2) = 2 - 3
g(2) = -1
Answer:
x < 2
Step-by-step explanation:
5(2x + 8) < 60 ( divide both sides by 5 )
2x + 8 < 12 ( subtract 8 from both sides )
2x < 4 ( divide both sides by 2 )
x < 2
