Because there are infinitely many numbers that are either greater or less than variable x.
Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
then divide both sides by -16:
Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.
This problem can be solved using two equations:
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.
To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.
We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248
[ Answer ]
[ Explanation ]
- Simplify: 5(x + 3)(x + 2) - 3(x2 + 2x + 1)
--------------------------------------
- Add Similar Elements: 2x + 2x = 4x
5(x + 3)(x + 2) - 3(4x + 1)
- Expand: 5(x + 3)(x + 2) - 3(4x + 1):
+ 25x + 30
+ 25x + 30 - 3(4x + 1)
- Expand: - 3(4x + 1): -12x - 3
+ 25x + 30 - 12x - 3
- Simplify: + 25x + 30 - 12x - 3: + 13x + 27
= + 13x + 27
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<span>The area in the right tail more extreme than z= 3.01 in a standard normal distribution is given by
P(z > 3.01) = 1 - P(z < 3.01) = 1 - 0.99869 = 0.00131
</span>
