Answer:
It is the last answer.
Step-by-step explanation:
If you graph this, there will be no point more negative than (-4/3, -5).
This means the x and y values must be greater than or equal to these values, as the fourth answer will show.
Answer:
D
Step-by-step explanation:
It's the only thing not listed aka the number of math problems.
Answer:
The pebble will hit the ground 8.29 second after it is thrown.
Step-by-step explanation:
Given that,
The height of the pebble after t seconds is given by the equation
h= -16t²+24 t+900.
When the pebble hit the ground, the height of the pebble will be zero.
So putting h=0 in the given equation.
0 = -16t²+24 t+900
⇒-4(4t²-6t-225)=0
⇒4t²-6t-225=0
Applying quadratic formula
, here a=4, b= -6 and c= -225.

⇒ t = 8.29, -6.79
Since time can not negative.
∴t=8.29 seconds.
The pebble will hit the ground 8.29 second after it is thrown.
We have that an inverse variation in a function is given by:

We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:

Clearing k we have:

Substituting the value of k we have that the inverse variation is:

For y2 = 3 we have:

Clearing x2 we have:
Answer: