Provide an appropriate response.When using the change-of-base formula for loga x, is there any distinct advantage in converting it to  rather than  ?

What will be an ideal response?


No distinct advantage, they are all numerically equivalent: loga x =  = 

Mathematics

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Find the y-intercepts for the parabola whose equation is given. If the y-intercepts are irrational, round your answers to the nearest tenth.y = x2 + 4x - 7

A. y-intercept (0, -12) B. No y-intercept C. y-intercept (0, -7) D. y-intercept (0, 7)

Mathematics

Find the term indicated in the expansion.(5x + 4)5; 5th term

A. 6400x  B. 5120  C. 1600x  D. 8000x2

Mathematics

Solve the problem.A building has an entry with the shape of a parabolic arch 24 feet high and 4 feet wide at the base. Find an equation for the parabola if the vertex is placed at the origin of the coordinate system.

A. y2 = -0.2x B. x2 = -0.7y C. x2 = -0.2y D. y2 = -0.7x

Mathematics

Solve the problem.The average per-person annual consumption of hot dogs is shown in the table. Let C be the average per-person consumption of hot dogs at t years since 1990. C = 0.97t + 18.41 can be used to model the data.What is the C-intercept and what does it mean in this situation?

A. (0, 18.41); In 1990 the average consumption was 18.41 hot dogs per-person. B. (-18.98,0); In 2009 the average consumption will be 0 hot dogs per-person. C. (0, 0.97); In 1900 the average consumption was 0.97 hot dogs per-person. D. (0, 18.41); Each year the average consumption is increased by 18.41 hot dogs per person.

Mathematics