Answer:
It would take the balloon 2 seconds to hit the ground
Step-by-step explanation:
They give you the actual formula of the height of the ballon as a function of time in seconds, with all the initial conditions specified in the equation, therefore all you need to do is find the time that it takes for the balloon to reach a height of zero (0) feet, making h=0 and solving for t in a quadratic equation:
where we have factored out the trinomial as a product of two simple binomials. For such product to be zero, either t=2 seconds or t=-3 seconds. Since the time cannot be a negative number, the only viable solution we found is t=2 seconds.
Step-by-step explanation:
Is there any data given abour the figure? And actually, what exactly do you need to solve?
Answer: z = -12
Step-by-step explanation:
-6z = 72
divide both sides by -6
z = -12
Answer:
x ∈ (-∞, -2) ∪ (2, ∞)
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:
So the roots are:
Therefore we can write the expression in the following way:
Now the expression is as follows:
Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that compose the expression:
.
Observe the attached image.
We know that the first two roots are not allowed because they make zero the denominator, we also know that (x + 5) ^ 2 is always positive because it is squared, so it is not necessary to include the numerator in the study of signs.
Note that:
when
when
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -2) ∪ (2, ∞)
Answer:
82 notes
Step-by-step explanation:
3×8=24
16×3=48
4×3=12
24+48+12=84