rosehayden21

27.10.2020 • 

Mathematics

Thomas uses a graphing calculator to solve the following word problem. Two shirts and five pairs of pants cost $150. Three shirts and four pairs of pants cost $190.
Find the cost of a shirt

Select the statements that describe the steps that Thomas can use to solve the problem using his graphing calculator.

A) Leto equal the cost of a shirt and y equal the cost of a pair of pants,

B)Solve each equation for y.

C)Solve each equation for

D)The solution is the point where the lines intersect.

E)The solutions are the points where the lines intersect the y-axis.

Ответ:

iwannasleep

26.08.2021

Mathematics

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  see below for a plot

Step-by-step explanation:

The y-intercept is where x=0:

  f(0) = 0^3 +2·0^2 -0 -2 = -2

The x-intercepts can be found where f(x)=0:

  0 = x^3 +2x^2 -x -2 = x^2(x +2) -1(x +2) = (x^2 -1)(x +2)

  0 = (x +1)(x -1)(x +2)

The values of x that make these factors zero are {-2, -1, 1}.

The x-intercepts are (-2, 0), (-1, 0), (1, 0). The y-intercept is (0, -2).

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