Hello from MrBillDoesMath
Answer: 12, 9
Discussion:
Let x be the first number and y the second number. The form the problem statement:
x + y = 21
x - y = 3
Add the two equations. This gives:
(x + x ) + ( y-y) = 21 + 3 =>
2x + 0 = 24 =>
x = 12
Since x -y =3, substituting in the value of x gives, 12 - y = 3 so y = 9
Thank you,
Mr. B
Answer:
512000
Step-by-step explanation:
l=80cm
v=l^3
=80^3
=512000cm^3
Answer:
900 ft!
Step-by-step explanation:
Volume = l ∗ w ∗ h
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.
