An astronaut on the moon drops a tool from the door of the landing ship. The quadratic function f(x)=-2x^2+10 models the height of the tool, in meters, after x seconds. How long does it take the tool to hit the surface of the moon? Round your answer to the nearest tenth.

2.2 seconds.

Step-by-step explanation:

We have been given that an astronaut on the moon drops a tool from the door of the landing ship. The quadratic function models the height of the tool, in meters, after x seconds.

To find the time, it will take for the tool to hit the surface of moon, we will set and solve for x as:

Divide both sides by negative 2:

Now, we will take square root of both sides:

Since time cannot be negative therefore, it will take 2.2 seconds for the tool to hit the surface of the moon.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

answer: okw

step-by-step explanation: