Is the system of equations is consistent, consistent and coincident, or inconsistent? y=−x−13y=−3x+2

The System of Equation is Consistent.

Step-by-step explanation:

Given: System of equations y = -x - 13 and y = -3x + 2

To find: System of equation is consistent or inconsistent

System of equation is consistent if it has a unique solution or infinitely many solution and it is in consistent if it has no solution.

So we check if given system of equation has unique solution or infinitely many solution or no solution by checking their ratio.

Rewrite the system of equation,

x + y +13 = 0 and 3x + y - 2 = 0

Now,

Since,

Thus, System of equation has unique solution.

Therefore, The System of Equation is Consistent.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

$450 is the answer.

step-by-step explanation:

30% of 450 = 135

450-135=315