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Topic 11 Ordered Pairs and the Plane with pictures
Terms in this set (12)
This is used to locate points in a plane using an ordered pair of numbers.
A horizontal line passing through the origin that includes both positive and negative numbers.
A vertical line passing through the origin that includes both positive and negative numbers.
The point where the two axes of a coordinate plane intersect. It is represented by the ordered pair (0,0).
A pair of numbers used to locate a point on the coordinate axis.
The first number in an ordered pair, which names the distance to the right or left from the origin along the x-axis.
The second number in an ordered pair, which names the distance up or down from origin along the y-axis.
A pattern where corresponding values are related by addition.
A table of related values.
A pattern where corresponding values are related by multiplication.
A mathematical sentence that uses an equal sign to show the two expressions have the same value.
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.
The half-life of the radioactive element krypton-9 10 seconds. If 16 grams of krypton-91 are initially present, how many grams are present after 10 seconds? 20 seconds? 30 seconds? 40 seconds? 50 seconds?
Robyn needs $2.20 to buy a bag of trail mix. Write an equation in standard form that models the possible combinations of nickels and dimes she could use to pay for the mix. How many nickels would she need if she used 14 dimes? Explain your reasoning.
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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