The function h(t) = −5t2 + 25t shown in the graph models an architectural arch:

graph of parabola starting at zero comma zero, rising from the left to about two and one half comma 31, and falling to the right, ending at 5 comma zero

What is the domain of h(t)?

All real numbers
x ≥ 0
0 ≤ x ≤ 5
0 ≤ x ≤ 31

the answer is actually 0 ≤ x ≤ 5

Step-by-step explanation:

i got it right

0 ≤ x ≤ 5

Step-by-step explanation:

the graphs x-intercepts are 0 and 5. So, the domain will have to be 0 ≤ x ≤ 5 because the other choices are not right because the graph has an end point so it cant be all real numbers and 0 ≤ x ≤ 31 describes the range, not the domain and the x ≥ 0, where did that come from it does not describe range or domain. So, the reasonable(and the right answer) answer would be 0 ≤ x ≤ 5.

step-by-step explanation:

the shape,the size and the distance

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!