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jeovontamarley
20.04.2020 •
Mathematics
Jamie can work no more than 20 hours a week this summer. She needs to earn at least $256 a week to save enough for a car before school starts. She makes $6 an hour babysitting and $16 an hour cleaning houses. Graph the system of inequalities that models the situation. Let x be equal to hours spent babysitting and y be equal to hours spent cleaning houses. Excluding the boundaries, place a point inside the region of the graph that satisfies the system.
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Ответ:
x^2 - 12x + 37
x^2 + 16
x^2 + 6x + 34
Step-by-step explanation:
Let's expand the first one:-
(x - 6 + i)(x - 6 - i)
= x^2 - 6x - ix - 6x + 36 + 6i + ix - 6i - i^2
= x^2 - 12x -ix + ix - 6i + 6i + 36 - (-1)
= x^2 - 12x + 37 (answer).
(x + 4i)(x - 4i)
= x^2 + 4ix - 4ix -16 i^2
= x^2 + 16 (answer).
(x + 3 + 5i)(x + 3 - 5i)
= x^2 + 3x - 5ix + 3x + 9 - 15i + 5ix + 15i - 25 i^2
= x^2 + 6x + 34. (answer).