A property sells for one and a half million dollars. the five owners each receive a fifth of the money.

Mathematics

1 answer:

PolarNik [594]2 years ago

5 0

Answer: Each owner gets $300000

Step-by-step explanation:

one and a half million is 1500000

then divide by 5

you get $300000

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Which ordered pairs are solutions to the system of inequalities?

IRISSAK [1]

Answer:

C, D

Step-by-step explanation:

We can solve this graphically and analytically.

Graphically, looking at the attached image below, if we graph the two inequalities and plot the points, you can find the points which are solutions by finding the points in the overlapping area.

This obviously excludes A as it only appears in $y \geq x+2$

C is included as y $\geq x+2$ includes the point on the line.

D is obviously a solution.

B is however not a solution because is lies on the line $y = \frac{-5x}{2} - 3$ , which the inequality excludes.

Analytically, if we can find one of the two inequalities where it is not a solution, it is not a solution of the system.

A: (0, 0)

$y \geq x+2\\0 \geq 0 + 2\\0 \geq 2\\false$

A is not a solution

B: (-2, 2)

$y \geq x+2\\2 \geq -2 + 2\\2\geq 0\\true$

$y > \frac{-5x}{2} -3\\2 > \frac{-5(-2)}{2} - 3\\2 > 5 - 3\\2 > 2\\false$

B is not a solution

C: (0, 2)

$y \geq x+2\\2 \geq 0 + 2\\2 \geq 2\\true\\\\y>\frac{-5x}{2}-3\\2 > -3\\true$

C is a solution

$y \geq x + 2\\6 \geq -1 + 2\\6 \geq 1\\true\\\\y > \frac{-5x}{2} - 3\\6 > \frac{-5(-1)}{2} - 3\\6 > \frac{5}{2} - \frac{6}{2}\\6 > \frac{-1}{2}\\true$