Answer: x ≤ 120
Step-by-step explanation: To get <em>x</em> by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6, just like we would if we were solving an equation, but here is the trick you have to watch out for with inequalities.
When you multiply or divide both sides of an inequality by a
negative, you <u>must</u> switch the direction of the inequality sign.
So our second step in this problem reads x ≤ 120.
<u>Please give this idea your full attention.</u>
<em>Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.</em>
Answer: b =27
Step-by-step explanation:
24 = b -3 Just add 3 to both sides
+3 +3
b = 27
General equation for height, h
h = ut + 0.5gt^2
at t=1s, h = 76 feet
76 = u*1 + 0.5*a*1^2
76 = u + 0.5a
at t=2s, h = 144 feet
144 = u*2 + 0.5*a*2^2
144 = 2u + 2a
72 = u + a
Subtract 2 equations
0.5a = -4
a = -8
u = 80
So the equation,
h(x) = 80t + 0.5*(-8) t^2
h(x) = 80t - 4t^2
Answer:
d. $3 per lunch
Step-by-step explanation:
Divide 66 by 22: 3
