Provide an appropriate response.Why is the line that forms the boundary of the solutions of an inequality part of the graph of the inequality when the inequality symbol is ? or ? but not when it is < or >?
What will be an ideal response?
For an inequality ax + by ? c, the symbol ? means that the graph consists of both the line and the region
The graph of ax + by < c does not contain the line
A similar explanation can be given for ? and >.
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Find the work done by F over the curve in the direction of increasing t.F = 6zi + 4xj + 10yk; C: r(t) = ti + tj + tk, 0 ? t ? 1
A. W = 10
B. W = 40
C. W =
D. W = 20
Using the factoring method, solve for the roots of the quadratic equation.x2 + 8x - 20 = 0
A. x = -10, x = 1 B. x = 10, x = -2 C. x = -10, x = 2 D. x = 10, x = 2
Simplify.
A. 5
B. 6
C. 10
D. 32
Solve the problem by writing and solving a suitable system of equations.Julia is preparing a meal by combining three ingredients. One unit of each ingredient provides the following quantities (in grams) of carbohydrates, fat, and protein. Protein(g)Carbohydrates(g)Fat (g)Ingredient A331Ingredient B242Ingredient C451Ideally the meal should contain of protein,
of carbohydrates, and
of fat. How many units of each ingredient should Julia use?
A. 4 grams of ingredient A, 2 grams of ingredient B, 3 grams of ingredient C B. 2 grams of ingredient A, 3 grams of ingredient B, 4 grams of ingredient C C. 3 grams of ingredient A, 4 grams of ingredient B, 2 grams of ingredient C D. 2 grams of ingredient A, 4 grams of ingredient B, 3 grams of ingredient C