Evaluate the difference quotient for the given function. Simplify your answer.

f (x) = 1 + 5x - x2, (f (5 + h) - f (5)) / h

The Viera family is traveling from Philadelphia to Orlando for vacation. the equation y=1000-65x represents the distance in miles remaining in their trip after x hours. A. Graph the equation. B. interpret the slope and the y-intercept.

A radioactive substance decays exponentially. a scientist begins with 190 milligrams of a radioactive substance. after 33 hours, 95 mg of the substance remains. how many milligrams will remain after 65 hours?

Consider the functions f (x) = 1/3x and g (x) = 1/x2. Determine f (1/12) - g (1/5).

Lisa is making activity baskets to donate to charity. she has 12 coloring books, 28 markers, and 36 Crayons.

A recent online survey published that a hospital needs 9 nurses for every 45 patients. How many nurses a hospital would need in order to take care of 255 patients?

A 3pack of boxes of juice costs 1.09. A 12 pack of boxes cost 4.49. A case of 24 boxes costs 8.78. Which is the best buy? Explain your reasoning

What is the answer to: 2.8 x 103 x 3.07 x 105 (written in scientific notation) ?

A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas?

You want to estimate the number of eighth-grade students in your school who find it relaxing to listen to music. You consider two samples.

5 80/100 in decimal form