A car has 12,500 miles on its odometer. Say the car is driven an average of 40 miles per day. Choose the model that expresses the number of miles N that will be on its odometer after x days. Choose the correct answer below. O A. N(x) = 12,500x + 40 O B. N(x) = 40– 12,500 OC. N(x) = 40x+ 12,500 O D. N(x) = - 40x + 12,500

Q: (x²-s)' 13. g(x) =- (구+ 4)"

A:

Q: For all numbers x: /x/ > 1/x . Which is the appropriate counterexample? a. 1 b. -2 c. 2 d. -1

A:

Q: On a college campus of 5,000 students, one student returns from vacation with a contagious flu…

A: Given:

Q: A ball on a spring is pulled 4 inches below its rest position and then released. After t seconds,…

A:

Q: Use Separation of Variables to find the general solution. y. 18x? = 0 (Express numbers in exact…

A: Given, y'-18x2y3=0       where y'=dydxwe have to find the general solution using separation of…

Q: The number of apples produced by each tree in an apple orchard depends on how densely the trees are…

A: Given data is : The number of apples produces per acre is  An=n1350-15n

Q: 5. The owner of a video store has determined that the cost C, in dollars, of operating the store is…

A: topic - quadratic equations

Q: The time t, in seconds, that it takes a car to accelerate to x mph can be described by t =…

A:

Q: Find the number of units x that produces a maximum revenue R. R = 156x2 − 0.08x3     x =…

A: Simply take the derivative of the given function and make equal to zero than solve for x.

Q: In Exercises 1–4, an object dropped from rest from the top of a tallbuilding falls y = 16t2 feet in…

A: 'Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 3x10 + 3a5 + 5æ² + 7. What particular solution that satisfies Suppose f'(x) 455 -? 66 f(1)

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 36x2/3 − 2x…

A: We have to find the number of units x that produces a maximum revenue R in the given equation.…

Q: Qucstizt3 Show that the equation. is homogeneaus? e ure an orpropte Subsifution to determine the…

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 54x2/3 − 4x…

A:

Q: Find the general and particular solution of the y"=3e³x if f(2)= k and f'(2)=k²

A: y"=3e³x if f(2)= k and f'(2)=k²

Q: What is the solution of -10 ≤3x+5≤8 E+ ³x 8-1x T+X

A:

Q: X=N(210 minutes, 45 minutes)What is the Z-score for a runner with a finish time of X=243 minutes?

A: Given a normal distribution with mean 210 and Standard deviation 45.Z score is the distance of a…

Q: S(x) = -x3 - 9x2 + 165x + 1300, 5 sxs 20 is an approximation to the number of salmon swimming…

A: The function given is S(x)=-x3-9x2+165x+1300 Where x represents the water temperature in degrees…

Q: 52. If A. 10 C. -2 -8 5 g(x)dx = -4 and g(x)dx=6, what is g(x)dx? 2 ¹s 1miz d -8 B. 2 D. -10 12035

A:

Q: 9. At time t = 0, a diver jumps from a platform diving board that is 32 feet above the water. The…

A: Given, The position of diver is given by the equation  st = -16t2+16t+32 At t = 0 ;  st = 32 feet…

Q: 8. Given f(x) = 2x- 5 & g(x) = 3x +4, solve for g o f(x). a. 11 - 6x b. 6x2 - 7x - 20 C. 6x - 11 d.…

A:

Q: At a parking lot, the attendant can wait on 60 people per hour. If people arrive randomly at an…

A: We need to find value of x.

Q: e 6. x" +2x'+x =- 1+12°

A: Answer

Q: (a) If a painter can complete a job in 4 hours, what is the painter's rate of work? ? of the job…

A:

Q: snip

A: Given: Height of the rock as Hx=20-13x2 after x second, To determine: The height of the rock when…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 − 2x

A: Given equation for revenue is, R = 24x23- x

Q: Find the particular solution. y' = e* - 4; y(0) = 3

A: For a differential equation, there are two parts of solution. one is the complimentary function…

Q: A dollar store finds the daily demand for any of their products is given by D(x) = 120 + 15x - x².…

A:

Q: Solve using the chain rule f(x) = 6/2x – 5 12 A. 6V2x- 5 В. 2х-5 6. C. 12x/2x –5 С. D. V2x-5 - O A O…

A:

Q: 3x-11 E D X+9

A:

Q: For what value of k will y=2x^2+kx-9 have a minum at x=3?

A: The given equation is,

Q: The number of apples produced by each tree in an apple orchard depends on how densely the trees are…

A:

Q: 5. Solve for x. F E 68 (9x - 5)

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 99x2/3 − 6x…

A:

Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +…

A: Solution ) r (t) = 15t8 + e-0.76t when t = 0 r(0) = 15×(0)8 + e--0.76×0 r(0) = 0 + e0 r(0) = 0 + 1…

Q: Find the number of units x that produces a maximum revenue R. R = 78x2 − 0.04x3   x=           units

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 24x2/3 − 2x…

A: For maximum revenue, derivative of revenue is zero.

Q: The height h, in feet, of a ball that is thrown straight up and released 8 ft above the ground is…

A: The height h in feet of a ball that is thrown straigt up at 8 feet above the ground is given by…

Q: Find the number of units x that produces a maximum revenue R. R = 33x2 − 0.02x3 x = _____ units

A: Given R=33x2-0.02x3         Here we find the number of units x that produces        a maximum…

Q: The gas mileage (in mph) for a certain vehicle can be approximated by m(x)=-0.031x2+2.619x-35.027,…

A: For inflection point, equate the derivative of the function to 0. For maxima, check the value of…

Q: 3. The fuel used by a car is defined by f(x)=3x=/80-6x+245. where x is the travelling speed in km/h.…

A: The fuel used by the car is given by the function: f(x)=310x2-6x+245 where x is the speed of the…

Q: The time t, in seconds, that it takes a car to accelerate to x mph can be described by t =…

A: The time t, in seconds, that it takes a car to accelerate to x mph can be described by t =…

Q: A projectile is launched from ground level with an initial velocity of v0 per second. Neglecting air…

A:

Q: A model for the percentage of U.S. households with outstanding student debt is given by: P = 0.056t2…

A:

Q: A virus is believed to be spreading through a sheep farm according to that equation  N = 450 (…

A: 1. Given that, a virus is believed to be spreading through a sheep farm according to that equation…

Q: The time t, in seconds, that it takes a car to accelerate to x mph can be described by t =…

A:

Q: 2 Solve for x: 3 3 x2-16 x2+x-20 x2+9x+20 a. x= -34 b. x = -17 C. x= 6.5 no solution C. d.

A:

Q: Find the value h(-6), whereh is defined below. h(t) = 6t - 2 Provide your answer below: h(-6) =

A:

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 108x2/3 −…

A:

Q: Find the number of units x that produces a maximum revenue R.R = 99x^2 − 0.06x^3How would i solve…

A: The word problem is concerned with the maximum value of the revenue as a function of the number of…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.