Solve the application by using a system of linear inequalities in two variables.A bakery plans to market a mixed assortment of its two most popular cookies: Chocolate Chip and Toffee Chunk. Their marketing analyst proposes that the new assortment be constrained by the inequality
where C is the number of Chocolate Chip cookies and T is the number of Toffee Chunk cookies. Their sales analyst suggests in order to offer a reasonably priced product the assortment should be constrained by the inequality
The number of each type of cookie cannot be negative, so
src="https://sciemce.com/media/4/ppg__10708191732__f1q38g3.jpg" alt="" style="vertical-align: -4.0px;" /> and Graph the region satisfying all the requirements for the assortment using C as the horizontal axis and T as the vertical axis. Does the combination of 6 Chocolate Chip cookies and 3 Toffee Chunk cookies satisfy all of the requirements?
A. ; No
B. ; Yes
C. ; No
D. ; Yes
Answer: C
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Answer the question.You are hiking on a mountainside, following a trail that slopes downward for a short distance and then begins to climb again. At the bottom of this local "dip", what can be said about the relationship between the trail's direction and the contour of the mountainside? [Hint - Think of the trail as a constrained path, g(x, y) = c, on the mountainside's surface, altitude = f(x, y). Consider only infinitesimal displacements.]
A. At the bottom of the dip, the trail is headed in the direction of the mountain's steepest ascent. B. The mountainside rises in all directions relative to the dip. C. At the bottom of the dip, the trail is headed perpendicular to the mountain's contour line which passes through that point. D. At the bottom of the dip, the trail is headed along the mountain's contour line which passes through that point.
State the phrase as a mathematical expression. Use x to represent the variable.A number multiplied by six hundred fifty-four
A. 654 + x
B.
C. 654 - x
D. 654x
Solve.Suppose that is invested at an interest rate of
per year, compounded continuously. What is the balance after 6 years?
A. $12,395.39 B. $12,295.39 C. $11,808.00 D. $9468.00
Multiply and simplify. ?
A.
B.
C.
D.