Answer:
x ≤ 7 => 
+ 
x ≤ 8 => -
+ 
≥ -
x ≤ -5 => - 
- 
x ≤ -6 => 
+ 105 ≤ 96
Step-by-step explanation:
- + ≥ -
+ ≥ / *10
2 + 6 ≥ x
8 ≥ x
- - / *6
- 100x - 11 ≥ 489
-500 ≥ 100x
-5 ≥ x
+ 105 ≤ 96
≤ 96 - 105 / * 
x ≤ -6
+ /*18
-13x + 10 ≥ - 81
-13x ≥ -91 /:-13
x ≥ 7
Answer:
a) 72.25sec
b) 6.25secs
c) after 10.5secs and 2 secs
Step-by-step explanation:
Given the height reached by the rocket expressed as;
s(t)= -4t^2 + 50t - 84
At maximum height, the velocity of the rocket is zero i.e ds/dt = 0
ds/dt = -8t + 50
0 = -8t + 50
8t = 50
t = 50/8
t = 6.25secs
Hence it will reach the maximum height after 6.25secs
To get the maximum height, you will substitute t - 6.25s into the given expression
s(t)= -4t^2 + 50t - 84
s(6.25) = -4(6.25)^2 + 50(6.25) - 84
s(6.25) = -156.25 + 312.5 - 84
s(6.25) = 72.25feet
Hence the maximum height reached by the rocket is 72.25feet
The rocket will reach the ground when s(t) = 0
Substitute into the expression
s(t)= -4t^2 + 50t - 84
0 = -4t^2 + 50t - 84
4t^2 - 50t + 84 = 0
2t^2 - 25t + 42 = 0
2t^2 - 4t - 21t + 42 = 0
2t(t-2)-21(t-2) = 0
(2t - 21) (t - 2) = 0
2t - 21 = 0 and t - 2 = 0
2t = 21 and t = 2
t = 10.5 and 2
Hence the time the rocket will reach the ground are after 10.5secs and 2 secs
E
2x - 48 = 10x
-2x -2x
-48 = 8x
/8 /8
-6 = x
if you move all of your x's on to the same side it is easier to solve
Answer:
Just learned this-
They are both 1 because of it being to the power of zero and if you type the both in like...
Step-by-step explanation:
sin(73)^0 you get 1
tan(12)^0 you get 1
