Answer: 5 > k
Step-by-step explanation: When you're asked to solve an inequality like -45 < -9k, your goal should be the same as it was when solving equations which is to get <em>k</em> by itself on one side.
In this problem since <em>k</em> is being multiplied by -9 on the right side of the inequality, to get <em>k</em> by itself, we divide both sides by -9 but here is the rule you have to watch out for when solving inequalities.
When you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign. So this less than in our original problem becomes greater than in our second step. I would recommend switching it as soon as possible so you don't forget.
Let's rewrite our original inequality.
-45 < -9k
On the right side, the -9's cancel and we're left with <em>k</em> and on the right side, -45 divided -9 is -5. So we have <em>5 </em><em>></em><em> k</em>.
The solution to the problem is as follows:
<span>'(t) = 0 gives:
-24t + 60 = 0
t = 2.5
For this t, the second derivative s"(t) = -24 is negative.
And so, s(t) is maximum for t = 2.5.
Maximum height is:
S = -12(2.5)^2 + 60(2.5) +8 = 233ft
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I hope my answer has come to your help. God bless and have a nice day ahead!
108 because theres 18 in in one and your finding out how much in 6 so 18*6=108
For this, you have to calculate the Unit value,
Unit value of 1rst one, 4.99/6 = 0.83
Unit value of 2nd one, 7.99/10 = 0.79
As, 2nd one is cheaper, so it is better :))
First example:
Subtract the 8n on both sides to get the variable on one side of the equation. Do the same for the regular numbers. Then divide by -3.
This should be your final answer.
Second Example:
Do the same thing as explained in Example 1. Here's some work to help guide you.
That should be your final answer here.
Third Example:
Hope this helps and its understandable! Let me know if you still don't understand.
