Answer:
3/2=1.5 sec
Step-by-step explanation:
Equate d=0 and solve the expression, t=-1 and 3/2 but t can't be negative.
Answer:
2x^6-9x^5+4x^2-5 divided by x^3-5
Step-by-step explanation:
Given:
Consider the height of the rocket, in feet after x seconds of launch is

To find:
The time at which the rocket will reach its max, to the nearest 100th of a second.
Solution:
We have,

It is a quadratic polynomial with negative leading coefficient. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
To find the time at which the rocket will reach its max, we need to find the x-coordinate of the vertex.
If a quadratic function is
, then the vertex is

Here,
.
So,



So, x-coordinate of the vertex is 4.75.
Therefore, the rocket will reach its max at 4.75 second.
Answer:
42.14
Step-by-step explanation:
First find the area of the square:
14x14=196
Then find the area of the circle:
It has a diameter of 14 so divide it by 2 to get the radius.
Then use the formula πr²
7²=49
49x3.14=153.86
Then subtract
196-153.86=42.14
Answer:
y > 2x+1
Step-by-step explanation:
Find an equation of the line: slope = 2, y-intercept = 1, y = 2x + 1
Find a point in the shaded area of the graph to substitute into the equation: ex. (0, 2), substituted in, it becomes 2 = 1
Change the sign so 2 = 1 becomes true; 2 > 1
Implement that sign into the original equation, and because it is a dotted line, not a solid one, the sign will not include "or equal to"
y > 2x + 1