You are standing on the top of a 256 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is described by the following equation.   h(t)=-16t2+96t+256.   In this question, what information does the vertex provide?

Q: Sketch and identify the graph of the following equations in R3: 16x2 + 25y2 = 100

A: Topic = Geometry  The graph is cylinder in R3

Q: 3. Explain briefly the steps to find the coordinates of the vertex of y = 2x –16x+5

A:

Q: f(x)=2x3 + 3 What is the vertex? What is the domain and range?

A: The Vertex Form of a quadratic function can be computed as follows.

Q: Which graph best represents the solution set of -4x < 6y – 54? F G OG Он

A:

Q: Which graph represents the solution of y Sx+3 and y 2-2r- 2?

A: Given,            y ≤ x + 3  and  y≥ -2x - 2

Q: You are standing on the top of a 256 feet tall building and launch a small object upward. The…

A:

Q: A ball is shot upwards from a cannon which is on a platform 180 m high. The height, h, in meters, of…

A:

Q: Graph f(x) = – 2x² – 20x – 42 below by first selecting - - the correct shape, clicking the vertex,…

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Q: y=-3x 1 4|

A:

Q: What is the vertex of the equation y = (x – 3)² + 5

A:

Q: 19. What is the graph of the quadratic equation y 2(x- 2)+4 ? A) B) C) D) 4 -2-1 2 3 4 56x 4. 2.

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Q: 9- -x2 www Ay 2. 4 x 田 田

A: Given :— x — 6 = —x2 In Graph, x = 2 , 4 , —2 , —4

Q: Graph f(x) = x² – 8r + 15 below by first selecting the correct shape, clicking the vertex, then…

A: Let y=f(x), ⇒y=x2-8x+15⇒y=x2-8x+16-1⇒y+1=(x2-8x+16)⇒(y-(-1))=(x-4)2 Which is comparable to…

Q: Show complete solution Plot the graph of y(t)=3-2x(-2t-1) by transforming the graph of x(t)

A: y(t)=3-2x(-2t-1) x(t)=t+2.5,-2.5≤t&lt;0 seconds2.5,0≤t≤2.5 seconds0,otherwise

Q: 1. 9x2 + 4y2 = 36 2.222² 쫑 = 1

A:

Q: Match the equation with its graph. x2 z2 = 1 9 16 6. 2. 3 2 2. 6. 31 3. ++++

A:

Q: The daily profit, P dollars, of a ice cream vendor is mode-led by the equation P = -60(x-3)2 +140,…

A: Given equation for maximum profit is  P(x)=-60(x-3)2+140

Q: A 3. Which is the graph of the equation 12y? – 24x2 = 144?

A:

Q: 4. Find the solution set for the equations and sketch the graph. (3x - y =-2) l2x² – 7 = 0S

A: The general form of the equation of the line is given by y=mx+b, where m is the slope and b is the y…

Q: Match the equation with its graph. z2 = 1 16 31 21 -5 4. 4 2.

A: Here we have to draw the graph of the equation x29+y216+z29=1 .............................. (1)

Q: Use the crossing- graphs method to solve the equation below. 3^x + x = 2^x +3

A: We graph y= 3x+x and y=2x+3 using a graphing calculator.

Q: The vertex is (-3,-12) and the y-intercept is -3. What's the quadratic function

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Q: the graph of y = x³ - 6x² + 9x - 2 where the t

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Q: Determine if the graph of the quadratic equation opens up or down and is wider or narrower than the…

A: Given

Q: Graph f(x) = x² – 8x + 12 below by first selecting the correct shape, clicking the vertex, then…

A: f(x)=x2-8x+12y=x2-2x(4)+42+12-42y+4=(x-4)2 hence the vertex is (4,-4)for x intercept…

Q: The revenue, R, of producing and selling a Awesome Hearing Aids is modeled by the equation R = 4x +…

A: Sol:  R= -4x2 + 118x For maximum revenue

Q: Match the equation with its graph. 15x - 4y? + 152? 2.

A: topic - sketch of a function

Q: Graph f(x) = x² + 6x + 8 below by first selecting the correct shape, clicking the vertex, then…

A: Given the curve f(x)=x2+6x+8 We need to sketch the graph by identifying the correct shape , vertex…

Q: Explain briefly the steps to find the coordinates of the vertex of y = 2x –16x+5 -

A: Given quadratic equation is y=2x2-16x+5.

Q: 4) What is the vertex? a) y = (x + 3)2 + 4 b) y = x2 - 8x + 9

A:

Q: What is the Equation of the graph drawn above. 11T 7x 4 3n 3

A: (1) In the given figure,    There is a circle of radius 3, so, in polar coordinates the equation of…

Q: Graph f(x) = – 2x2 – 12x then clicking an x-intercept. 16 below by first selecting the correct…

A: The given function is fx=-2x2-12x-16. Rewrite the above equation as follows.…

Q: The graph of y = x°- 6x 1 is shown below. Estimate the solution(s) to the equation r-6x-= 7.

A: Given,          The graph of y=x3-6x-1 is shown below :

Q: A 3. Which graph represents the equation -4x2 + 8y+7= 0?

A: Simplify the given equation: -4x2+8y+7=04x2=8y+7x2=2y+74x-02=2y+78

Q: At the memorial day fireworks celebration, a projectile is launched into the air and , in 5 seconds…

A: Given that the rocket attains a maximum at 5 second and the maximum height= 100 m   So the vertex=…

Q: The formulaT = 21x2 + 862x + 15,552models the average cost of tuition and fees, T, at private…

A: T=21x2+862x+15552 a). To find the average cost of tuition and fees at private U.S. colleges for the…

Q: y = x² /(x + 1)

A:

Q: Graph f(x) a?- 6x +8 below by first selecting the correct shape, clicking the vertex, then clicking…

A: We need to draw the graph of f(x)=x2-6x+8

Q: y= Vx-3+4

A: Given the function We need to graph the above function.

Q: x² + y? + z² + 8a + 4y – 6z – 7 = 0

A:

Q: Y =- 2,005 X + 1527. 623X – 5613.436

A:

Q: Sketch a graph of the equation. x + 2y + 16 = 0 10 4 石54324 45 6 789 車 No Solution -7

A: Topic:- geometry  In your answer x  intercept is not correct.

Q: x - 4x + 4 = 0 %3D MY 2 4

A: From the given graph             when x =2 , y= 0 thus x=2 is the solution of the given equation.

Q: For Exercise, graph the solution set. −30x ≥ 20y + 600

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Q: Solve for x, then choose the correct graph. -8x < -16 (A) 2 3 4 (B) 2

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Q: e. Identify the vertex and y-intercept of the quadratic function: y = 2a + 122 Vertex: y-intercept:

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Q: Match the equation with its graph. x2y2 z2 +. 25 36 %D 16 ZA ZA 7A

A:

Q: Fill in each blank so that the resulting statement is true.

A: We know standard form of an ellipse is, x2a2+y2b2=1       ...(1)

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.