Answer:
The answer in the procedure
Step-by-step explanation:
we have
This is a vertical parabola open upward with the the vertex at (0,2)
The vertex is a minimum
The y-intercept is the point (0,2) (value of y when the value of x is equal to zero)
The graph does not have x-intercepts, therefore the solutions of the quadratic equation are complex number
using a graphing tool
see the attached figure
Answer:
See the attached graph from which we obtain x = 3 as the only solution for the given equation.
Step-by-step explanation:
Notice that the equation is the same equation as when y = 0 in the function , since when y=0 we have:
Then what we need to find is for which values of "x" in the graph of y = x^2-6x+9, the graph touches or crosses the x-axis (that is when y=0)
We graph the given function in the x-y coordinate system and find where it renders zero for "y" (see attached graph).
We see that there is only one point of contact with the x-axis at x = 3
45-11=34
34/2=17 each sport was played at least 17minutes
11+17=28 dodgeball was played 11 more mins
28minutes
17+28=45 check your answer
9514 1404 393
Answer:
145
Step-by-step explanation:
In this geometry, the central angle (x°) and the external angle (35°) are supplementary.
x° = 180° -35°
x = 145