17. Denisa rides her bike home from school several times each week. She cycles the 7.5-mile distance at an average rate of 12.7 mph. Let d(t) represent Denisa's distance from home in miles, and let t represent time in hours. Which function represents Denisa's distance from home in terms of time? A d(t) = 12.7-7.5t B d(t) = 7.5–12.7t c d(t) =12.7(7.5)* D d(t) = 7.5(12.7)

Q: f(t)= 90 - 52 (1+t)

A: Given: The function f(t)=90-52(1+t) gives the amount of the drug in units that are in the body after…

Q: A rock is thrown upward from a bridge into a river below. The function f(t) = -16t² + 37t + 116…

A: The given f(t)=-16t2+37t+116 determines the height of the rock

Q: Q1. If g(4) = -9 for a function g(x), what can you say about g¬'(-9) ?

A:

Q: 1. Johana works in the crime lab at the New York City · Police Department. A woman's shoe was found…

A: Here a function which represents the relationship between height of the woman and the shoe size of…

Q: A power company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used.…

A: Solve as general

Q: what should my equation be?

A: Here in this table you wrote the values of functions from x=1 to x=9   For x=1, f(x)=3 For x=2,…

Q: The average water level in a retention pond is 6.8 ft. During a time of drought, the water level…

A: We will solve the following.

Q: 5. A field-hockey ball must stay below waist height, approximately 1 m, when shot; otherwise, it is…

A:

Q: It costs C(x) = x² + 400 dollars to produce x number of televisions.

A: Topic - Instantaneous rate of change We are given Cost to produce x number of televisions…

Q: 3. Given the function f(x) = 1.4x2 -4.2x +6.5, find the indicated values. a. f(3) b. f(- 3) c.…

A: A polynomial function is given in the problem. We have to find the Value of the function at the…

Q: Q3. If g(1) = -3 for a function g(x), what can you say about g -3)

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.