A girl is standing on a platform that is 288 feet high and throws a ball upward at a speed of 48 feet per second. The height h of the ball after t seconds can be found using the equation h(t)=−16t2+48t+288 How long will it take for the ball to hit the ground?

Q: Use the equation for the total cost C and total revenue R to find the number x of units a company…

A: Break even point

Q: Why is 2 the only solution for |x - 2| ≤ 0?

A: Given: |x−2|≤0

Q: The height of an object dropped from the top of a 144-foot building is given by h(t ) =-16t2 +144.…

A: Given query is to find the time taken by object to hit the ground.

Q: Solve using method of undetermined coefficients: y" + 3y = -48x2e3x

A: The solution is given as

Q: The amount of profit that an ice cream truck driver makes in a given day is shown by the equationp…

A: Given,          The amount of profit that an ice cream truck driver makes in a given day…

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A: For max no. of mosquitos, function m(x) should be maximum i.e M(x)= 10x – x2 -i) Differentiate m(x)…

Q: The cost C in pesos of removing x percent of pollutants from the swimming pool in the resort is…

A:

Q: 4)the equation is x^2+8x+16=0

A:

Q: Q2) Solve the quadratic equation ax'+bx+c for a=1, b-D4, c-13 using -btvb2-4ac X1, X2X = 2a

A:

Q: An apartment management company owns a property with 100 units. The company has determined that the…

A: Solve the problem by construct the equation at first.

Q: 3x"+2x*-12=D0

A:

Q: the profit p in million of pesos of a t-shirt; manufacturer can be modeled by p(x) = -x3+4x2+x where…

A: Given that, The profit 'p' in million of pesos of a t-shirt; the manufacturer can be modeled by p(x)…

Q: solve for x the equation 4y 3x2 + 2r - 5

A:

Q: A smart-phone is thrown upwards from the top of a 336-foot building with an initial velocity of 64…

A: NOTE: Refresh your page if you can't see any equations. . when the phone hits the ground, its…

Q: The revenue in dollars from the sale of x calculators is given by the equation R(x) = 6 + /540x- 2x2…

A:

Q: ) The profit for Cocoa Board cocoa beans is given by II(x) = -15x² + 180x – 405 pusand dollars,…

A:

Q: The profit for cocoa board cocoa beans is given by ||(X)= -15x2 + 180x - 405 thousand dollars, where…

A:

Q: 2. Solve x in the quadratic equation when b = 0.

A: Given query is to find the value of x in a quadratic when b is zero.

Q: A ball is launched of the top of a hill and is represented by the equation h(t) = -5t2+60t+2, where…

A: Solution ) h(t) = -5t2+60t+2 Differentiate with respect to x  h'(t) = -5 × 2 × t + 60 × 1 + 0  […

Q: (5) The profit for Cocoa Board cocoa beans is given by I(x) = -15x? + 180x – 405 thousand dollars,…

A:

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A: According to the given question,Let x be the June rainfall in inches And M(x) is the number of…

Q: find the general solution (D^2+9)y=5e^x-162x^2

A:

Q: Solve the equation using the method of your choic x2 + 2x = 6

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A player kicks the ball, and it travels according to the quadratic equation h(x) - -16x+40x where h…

A: Given h(x) = -16x2+40x Then (a) h'(x) = -32x+40 To find the critical point , put h'(x)=0 Consider…

Q: Use the method of undetermined coefficients to find a particular solution x" + 8x' + 9x = t³ Xp²

A: Given differential equation is x''+8x'+9x=t3 Let us consider xpt=At3+Bt2+Ct+D be the solution of the…

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…

A:

Q: The profit for Cocoa Board cocoa beans is given by Π(x) = −15x2 + 180x −405 thousand dollars, where…

A:

Q: The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in…

A:

Q: Supposed the speed of the car had been noted during this time and is modeled by the quadratic…

A:

Q: An object is thrown upward at a speed of 183 feet per second by a machine from a height of 3 feet…

A:

Q: How

A:

Q: For the years 1995to 2002, the number Nof cellular phone subscribers (in millions) can be modeled by…

A: The given equation is N = 17.4 x2+36.1 x+83.8 and x = 0 represented the year 1995.Substitute N =…

Q: A rocket is launched, and its height H(t) in feet above sea level t seconds after launch is given by…

A:

Q: The revenue, R, at a bowing alley is given by the equation             R=-1/800(x2-2400x), where x…

A:

Q: (a) How many tonnes must be sold for to not make a loss?

A:

Q: A blogger earns R(x) = 9x + 0.073x² in revenue, where a is the number of subscribers, and has a cost…

A: Given that Rx=9x+0.073x2Cx=1950+8x

Q: Obtain the general solution. (D^2 + 9)y = 5e^x-162x^2

A: General solution of differential equation

Q: A musician charges C(x)=64x+20,000, where xx is the total number of attendees at the concert.  The…

A:

Q: At the beginning of the year, a blogger has 150 subscribers. Since then, the number of subscribers…

A:

Q: The formula T = 394x + 3123 models the average cost of tuition and fees, T, at public four-year…

A: Given :                       T  =  394 x + 3123     To determine :                     The…

Q: A company manufactures wristwatches and the profit, P. (in hundred thousand pesos) can be modeled by…

A: The given profit function is a polynomial.

Q: Use the IVT to show that the equation: x5 + 2x3 +3x- 4 = 0 has a solution.

A: Intermediate value theorem states that if f(x) is continuous in [a, b] and and f(a)*f(b)<0, that…

Q: xlnx-5x+2=0 How do you solve for x without graphing?

A: Given xlnx-5x+2=0 substitute lnx=logex xlogex-5x+2=0x(x)-5x+2=0x2-5x+2=0

Q: solve for x by completing the square x2 + 14x -3 =0

A: Move 3 to the other side

Q: The number f(x) of incidents of family violence requiring police response appears to be related to x…

A: f(x) = 430-0.005x    f(x) = number of incidents of family violence.  x = money spent on crisis…

Q: solve for y. 9e2y = x2

A: Our Aim is to solve the given equation below:-9e2y=x2 -(i)

Q: show x2+ y2=74 as a quadratic equation and solve

A: Convert to the polar equation to the Cartesian equation:

Q: "What is the end behavior for this equation? ƒ (x) = −3x² − 4x+7 -

A:

Q: A video game uses the quadratic equation h = -16t2 + 64t + 190 to determine the height h in feet of…

A: When the object strikes the ground height will become 0 h =0 0= -16t2 + 64t + 190

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.