Find an equation of the line tangent to the given curve at the point (a, f(a)).  f(x) =  e4x, a = 0

A. y = 4x + 4
B. y = 4e + 1
C. y = x + 1
D. y = 4x + 1


Answer: D

Mathematics

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Solve the problem.In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.10 as soon as you get in the taxi, to which a charge of $1.70 per mile is added. Find an equation that can be used to determine the cost, C, of an x-mile taxi ride, and use this equation to find the cost of a 3-mile taxi ride.

A. $8.10 B. $7.08 C. $7.20 D. $7.38

Mathematics

Translate the sentence into an equation, then solve.A number x increased by  is equal to 7.

A. +   = 7, x = 7
B. + 7 =  , x = - 6
C. +   = 7, x = 6
D.  + x = 7, x = 2

Mathematics

Provide an appropriate response.State whether the following situation represents direct variation, inverse variation, or neither, and explain why: The weight of a roast and the number of servings obtained from it.

What will be an ideal response?

Mathematics

Evaluate the square root and approximate to two decimal places if necessary.

A. 28 B. 196 C. 98 D. 14

Mathematics