Provide an appropriate response.Does the graph of f(x) =   have a tangent at the origin? Give reasons for your answer.

What will be an ideal response?


The function f is differentiable at x = o and hence has a tangent at the origin.

Mathematics

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Use scientific notation to solve the problem.A company produced 925,000 small appliances in one year and made a profit of $8,620,000. What was the profit on each appliance?

A. $9.32 x 102 B. $9.32 C. $1.07 D. $1.07 x 10-1

Mathematics

Write the fraction as a decimal.

A. 0.000029 B. 0.0029 C. 0.029 D. 0.00029

Mathematics

Solve the problem.To find the distance between two small towns, an electronic distance measuring (EDM) instrument is placed on a hill from which both towns are visible. The distance from the EDM to the towns is  and  and the angle between the two lines of sight is  Find the distance between the towns to the nearest tenth of a mile.

A. 6.2 mi B. 5.3 mi C. 4.7 mi D. 6.7 mi

Mathematics

Solve the problem.The value V of a car that is t years old can be modeled by V(t) = 19,655(0.83)t. According to the model, when will the car be worth $6000?

A. 6.4 years B. 0.9 years C. 54.5 years D. 2.0 years

Mathematics