Provide an appropriate response.In the expression y = loga x, what restrictions, if any, are there on the value of x?

Fill in the blank(s) with the appropriate word(s).


x > 0

Mathematics

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Find an equation for the line tangent to the curve at the point defined by the given value of t.x = csc t, y = 9 cot t, t = 

A. y = -18x + 9
B. y = 3x - 18
C. y = 18x + 3
D. y = 18x - 9

Mathematics

Determine the values of x for which the function is continuous. If the function is not continuous, determine the reason.f(x) = 

A. Not continuous at x = -3; function not defined B. Not continuous at x = -3, x = -1, x = 0; function not defined C. Continuous for all x D. Not continuous at x = 0, x = -3; function not defined

Mathematics

Write an equation in slope-intercept form of the line satisfying the given conditions.Parallel to the line y = 3x - 8; containing the point (7, 5).

A. y = 3x - 16 B. y = 3x + 5 C. y = 3x + 26 D. y = -3x - 16

Mathematics

Solve the system of equations using elimination. State whether the system is inconsistent, or consistent and dependent.

A. infinitely many solutions; consistent and dependent B. no solution; consistent and dependent C. no solution; inconsistent D. infinitely many solutions; inconsistent

Mathematics