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2 years ago

If you translate Point A ( 1 , 3 ) using the rule ( X , Y ) --> ( X + 2 , Y + 5 ) then A' coordinates

Mathematics

1 answer:

andrew-mc [135]2 years ago

7 0

Answer:

A' (3, 8 )

Step-by-step explanation:

Applying the translation rule to A (1, 3 )

A (1, 3 ) → A' (1 + 2, 3 + 5 ) → A' (3, 8 )

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3 years ago

The total cost (in dollars) for a company to manufacture and sell x items per week is C = 40 x + 640 , whereas the revenue broug

ikadub [295]

Answer:

The company must sell 60 or 70 items to obtain a weekly profit of 200.

Step-by-step explanation:

The profit is the difference between the revenue and the cost of a given task, therefore:

$\text{profit} = R - C\\\text{profit} = 66*x - 0.2*x^2 - (40*x + 640)\\\text{profit} = 66*x - 0.2*x^2 - 40*x - 640\\\text{profit} = - 0.2*x^2 + 26*x - 640$

To have a profit of 200, we need to sell:

$-0.2*x^2 + 26*x - 640 = 200\\-0.2*x^2 + 26*x -840 = 0\text{ } *\frac{-1}{0.2}\\x^2 -130 + -4200 = 0\\x_{1,2} = \frac{-(-130) \pm \sqrt{(-130)^2 - 4*1*(-4200)}}{2*1}\\x_{1,2} = \frac{130 \pm \sqrt{16900 + 16800}}{2}\\x_{1,2} = \frac{130 \pm \sqrt{100}}{2}\\x_{1,2} = \frac{130 \pm 10}{2}\\x_{1} = \frac{130 + 10}{2} = \frac{140}{2} = 70\\ x_{2} = \frac{130 - 10}{2} = \frac{120}{2} = 60$

The company must sell 60 or 70 items to obtain a weekly profit of 200.

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3 years ago

How i get the y-intercept

jeka94

Answer:

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Step-by-step explanation:

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2 years ago

How do you find the bearing and speed of a ship?

Usimov [2.4K]

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3 years ago

around a square with diagonal d = 4.6 cm a circle is described. Calculate the perimeter of the circle

Nadya [2.5K]

Answer:

14.45cm2

Step-by-step explanation:

The diagonal is the diameter of the circle.

4.6cm

The perimeter of the circle is

Pi x4.6= 3.142 * 4.6= 14.45cm2

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2 years ago