Which systems of equations intersect at point A in this graph?

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

Thus, the second option is correct.

Step-by-step explanation:

Given the point

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

Arrange equation variable for elimination

so

so the system of equations becomes

Solve 7x = -14 for x

Divide both sides by 7

Simplify

For y - 4x = 9 plug in x = 2

Subtract 8 from both sides

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

Thus, the second option is correct.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

answer is 144

step-by-step explanation: