Answer:
6 seconds
Step-by-step explanation:
<u><em>The question in English is</em></u>
An object is thrown from a platform.
Its height (in meters), x seconds after launch, is modeled by:
h(x)=-5x^2+20x+60
How many seconds after the launch does the object reach the ground?
Let
x ----> the time in seconds
h(x) ---> the height of the object
we have

we know that
When the object hit the ground the height is equal to zero
so
For h(x)=0
we have

The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
The solution is x=6 sec
The he object reach the ground at x=6 seconds
Answer:
the correct answer is B.-2/3
Would th eanswer be<span> two solutions are the points (0,-4) and (0,4). </span>
Area of triangle = base x height /2
48 = (a+14)a/2
a^2 +14a = 96
a^2 + 14a - 96 = 0
Solving for a = 5.04
Looks like a badly encoded/decoded symbol. It's supposed to be a minus sign, so you're asked to find the expectation of 2<em>X </em>² - <em>Y</em>.
If you don't know how <em>X</em> or <em>Y</em> are distributed, but you know E[<em>X</em> ²] and E[<em>Y</em>], then it's as simple as distributing the expectation over the sum:
E[2<em>X </em>² - <em>Y</em>] = 2 E[<em>X </em>²] - E[<em>Y</em>]
Or, if you're given the expectation and variance of <em>X</em>, you have
Var[<em>X</em>] = E[<em>X</em> ²] - E[<em>X</em>]²
→ E[2<em>X </em>² - <em>Y</em>] = 2 (Var[<em>X</em>] + E[<em>X</em>]²) - E[<em>Y</em>]
Otherwise, you may be given the density function, or joint density, in which case you can determine the expectations by computing an integral or sum.