The graph shows a system consisting of a linear equation and a quadratic equation. what is the solution(s) to the system?

a (4,5) only
b (1,8) only
c (1,8) and (4,5)
d this system has no solution

Option (C) is correct.

The solutions of the graph showing a system consisting of a linear equation and a quadratic equation   are (1,8) and (4,5).

Step-by-step explanation:

Given : The graph showing a system consisting of a linear equation and a quadratic equation.

We have to find the solution(s) to the system.

Since , the  solution(s) to the system are the points where the both linear equation and a quadratic equation intersect each other.

So from the graph given the linear equation intersect the quadratic equation at two points namely  (1,8) and (4,5).

Thus, the solutions of the graph showing a system consisting of a linear equation and a quadratic equation are (1,8) and (4,5).

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.