Points x and z are on a number line, and point y partitions line xz into two parts so that the ratio of the length of line segment xy to the length of line segment yz is 5: 7. the coordinate of x is 0.4, and the coordinate is of y is 5.8. what is the coordinate of z?

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

step-by-step explanation: 2

0.5?

hope your goes well, here's a turkey

-thekoolkid1o1