AnswersMathematics IIIMathematical Modeling: Part One

Mathematical Modeling: Part One — Test Answers

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23

Which graph can be used to find the solution(s) to 4 x is equal to negative 4 x ?

A
Image with description On a coordinate plane, the x and y axes ranges from negative 6 to 6 with an increment of 1 unit. One of the lines passes through 4 comma 0 and 2 comma 2. The other line passes through negative 4 comma 0 and negative 2 comma 2.
B
Image with description On a coordinate plane, the x and y axes ranges from negative 6 to 6 with an increment of 1 unit. There are two lines and both the lines are parallel to x-axis. One passes through point 0 comma negative 4 and the other line goes through point 0 comma 4.
C
Image with description On a coordinate plane, the scale on the x and y axes ranges from negative 6 to 6 with an interval of 1 unit. One of the lines passes through (1 comma 4) and (negative 1 comma negative 4). The other line goes through (1 comma negative 4) and (negative 1 comma 4).
D
Image with description On a coordinate plane, the x and y axes ranges from negative 6 to 6 with an increment of 1 unit. One of the lines passes through point 4 comma 0 and 0 comma negative 4. The other line passes through point 0 comma 4 and negative 4 comma 0.
24

The constraints of a problem are listed. What are the vertices of the feasible region? x plus 3 y is less than or equal to 6 4 x plus 6 y is greater than or equal to 9 x is greater than or equal to 0 y is greater than or equal to 0

A
open paren 0 comma 0 close paren , open paren 0 comma 2 close paren , open paren 6 comma 0 close paren
B
open paren 0 comma 0 close paren , open paren 0 comma 3 halves close paren , open paren 9 fourths comma 0 close paren
C
open paren negative 3 halves comma 5 halves close paren , open paren 9 fourths comma 0 close paren , open paren 6 comma 0 close paren
D
open paren 0 comma 3 halves close paren , open paren 0 comma 2 close paren , open paren 6 comma 0 close paren , open paren 9 fourths comma 0 close paren

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