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DanielleElmas [232]
1 year ago
13

Trey graphs the equations y = –x2 + 2x + 3 and y = x2 – 2x + 3 to solve the equation –x2 + 2x + 3 = x2 – 2x + 3. His graph is sh

own below.
What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
Mathematics
1 answer:
BARSIC [14]1 year ago
5 0

The solution of the equation -x^2 + 2x + 3 = x^2 - 2x + 3 are the x-coordinates of common points on the graphs are x=0 and x=2.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

As we can see from the attached graph these graphs intersect at points (0,3) and (2,3).

The system of equation are;

y = x^2 + 2x + 3 \\y = x^2 - 2x + 3

So,

-x^2 + 2x + 3 = x^2 - 2x + 3 \\\\2x^2 - 4x = 0\\\\2x ( x - 2) = 0

Then the solutions of the equation are x=0 and x=2.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

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frez [133]

Answer:

(a) The inequality for the number of items, x, produced by the labor, is given as follows;

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(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000

Step-by-step explanation:

The total time available for production = 1000 hours per week

The time it takes to produce an item on line A = 1 hour

The time it takes to produce an item on line B = 4 hour

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The number of items produced per the weekly labor = 1000/4 × 5 = 1,250 items

The minimum number of items that can be produced is when only line B is working which produces 1 item per 4 hours, with the weekly number of items = 1000/4 × 1 = 250 items

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(b) The cost of producing a single item on line A = $5

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$3,000/$5 = 600 items = The maximum number of items that can be produced

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$1,000 ≤ C ≤ $3,000

The time to produce the maximum 600 items on line A alone is given as follows;

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Answer:

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Step-by-step explanation:

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