Answer:
There is NO solution
Step-by-step explanation:
Considering 'y' be the number
Considering x be the smaller number
As 'y' is equal to twice a smaller number plus 3.
so
also
y is equal to twice the sum of the smaller number and 1.
so
so the system of equations become
solving
Therefore, there is NO solution.
The intercepts and the graph on your worksheet are not correct. Please see below for details:
has solutions at x=-1 and x=3 (use the quadratic formula to solve). That means these are the x-intercepts, namely points:
(-1,0) and (3,0).
The y-intercept comes from setting x=0 and calculating the y value:
so the y-intercept is (0,-3).
Now to the graph: Based on the form of the function we can see this is a quadratic function and its graph will be a parabola. You can reformat the expression in the following form
and that will indicate that the apex of the parabola (open up) will be at the point (1,-4).
Knowing the apex, the x intercepts, and the y intercept, we can graph it now.
Graph is in the image attached.
