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Topic 11 Ordered Pairs and the Plane with pictures
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Terms in this set (12)
coordinate grid
This is used to locate points in a plane using an ordered pair of numbers.
x-axis
A horizontal line passing through the origin that includes both positive and negative numbers.
y-axis
A vertical line passing through the origin that includes both positive and negative numbers.
origin
The point where the two axes of a coordinate plane intersect. It is represented by the ordered pair (0,0).
ordered pair
A pair of numbers used to locate a point on the coordinate axis.
x-coordinate
The first number in an ordered pair, which names the distance to the right or left from the origin along the x-axis.
y-coordinate
The second number in an ordered pair, which names the distance up or down from origin along the y-axis.
additive pattern
A pattern where corresponding values are related by addition.
input-output table
A table of related values.
multiplicative pattern
A pattern where corresponding values are related by multiplication.
equation
A mathematical sentence that uses an equal sign to show the two expressions have the same value.
algebraic expression
A mathematical phrase involving a variable or variables, numbers and an operation.
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The manager of Fence Me In is trying to determine the best selling price for a particular type of gate latch. The function $$ p(s) = -4s^2 + 400s – 8400 $$ models the yearly profit the company will make from the latches when the selling price is s dollars. (a). Write a quadratic equation that can be used to determine the selling price that would result in a yearly profit of $1600. (b). Write the quadratic equation in standard form so that the coefficient of$ $s^2$$ is 1. (c). Solve the quadratic equation by factoring, and interpret the solution(s). (d). Explain how you could check your answer to part c.
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A group of college students are starting a small business called Custom Tech. They make customized cell phone and tablet cases. Their profits are $40 for the cell phone case and$60 for the tablet case. The process involves both design hours and manufacturing hours. It takes 0.5 hour to design and 0.3 hour to manufacture a customized phone case. It takes 0.4 hour to design and 0.4 hour to manufacture a customized tablet case. Since the design part is completed by students attending school, they can allocate no more than 100 hours per day for design. They are sharing a single manufacturing machine with another company and only have 8 hours per day to use it. Let x represent the number of customized cell phone cases and y represent the number of customized tablet cases. Write the manufacturing constraint inequality.
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