Consider the following system of equations.
y=6x2+1
y=x2+4
which statement describes why the system has two solutions?
a. each graph has one y-intercept, which is a solution.
b. each graph has one vertex, which is a solution.
c. the graphs of the equations intersect the x-axis at two places.
d. the graphs of the equations intersect each other at two places.

  D. The graphs of the equations intersect each other at two places.

Step-by-step explanation:

The definition of a solution of a system of two equations in two variables is a point where the graphs intersect. A system of equations having graphs that intersect each other will have as many solutions as there are intersection points. If the graphs intersect in two places, there will be two solutions.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.