While riding his bicycle, a rock becomes embedded in Joshua's tire. The equation roprosenting the height of the rock above the ground, y, in cm, can be modelled by the function y-32cos40x+32, where x represents the time in seconds.

Q: Graph the equation f(x) = 2. If you are stuck, make a table of valu 5+ 4 3- -5 -4 -3 -2 -1 2 3 4 5…

A: We have to sketch the graph the equation  f(x) = 2

Q: Graph the functions

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Q: The percentage of​ full-time instructors at colleges and universities in some country can be modeled…

A: Given, The percentage of​ full-time instructors at colleges and universities in some country can be…

Q: Analyze the graph of the function. Зх- 12 H(x) = 16 -x

A:

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: Find the slope of f(x) = -3x-4 at (5,-19)

A: we have to find slope of given line at point (5,-19)

Q: Find the domain of an equation

A:

Q: Estimate the extreme values of the function. y(x) = x - 7x + 40x +7

A: Given y(x)= (1/3)x3-7x2+40x+7=>y'(x) =(1/3)3*x3-1-7*2x2-1+40*1+0=>y'(x) =x2-14x+40 for extreme…

Q: What is the turning point of the graph of 2) the function y = x2 - 6x + 2?

A: Here function is given by  y = x2 - 6x +2  This function can be written as  y = x2 - 6x +2 +7 -7  y…

Q: 3) write the equation of the translated function -6 -2 -2,

A: Given query is to find the equation of the translated function.

Q: The assets​ (in billions of​ dollars) for a financial firm can be approximated by the function…

A:

Q: Select the table that shows the same function as the equation: y = 4x - 2 y -2 -10 -2 6

A: It is simple calculation.

Q: Find the domain and range to the function * 25x2

A: In a function to get the domain ,denominator should not be 0.

Q: Use function notation to write the equation of the line passing through (2, 3) and perpendicular to…

A: we have to find the equation of line passing through the point (2,3) and perpendicular to the line…

Q: Give the slope and y-intercept of the line whose equation is y = 3x + 2. Then graph the linear…

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Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars)…

A:

Q: The cost of a school banquet is $95 plus $15 for each person attending. Write an equation that gives…

A: 95+15x=c  Where x is each attending person and c is the total cost

Q: Q4, sketch the graph of the function 3. |- x7 us =B

A:

Q: Graph the function y = 3x-2 in a rectangular coordinate system. If two functions are indicated,…

A: The given function is y=3x-2. This function y=3x-2 is the horizontal shifting of parent funtion…

Q: Differentiate the function.   y = 3ex - 7x

A: Given function - y = 3ex-7xDifferentiating on both sides with respect to 'x' - dydx = ddx3ex-7xdydx…

Q: y =D a² - 2a- 15

A:

Q: Determine the slope of 3(x² +y´) = 100xy at the point (3,1)

A: The given function is 3x2+y2=100xy. Evaluate the slope dydx by implicit differentiation as follows.…

Q: Graph the function f(x) = x2 - 4x - 5 in a rectangular coordinate system. If two functions are…

A: The given function is f(x) = x2 - 4x - 5.

Q: Graph the function. 3x 40) f(x) = (x + 5)(x - 3)

A: For the given graph  find vertical asymptotes , horizontal asymptotes and intercepts  and graph it.

Q: 4. Complete the function table for each equation. y = 7x - 4 59 X7951

A:

Q: A pet turtle walks towards his food dish at a constant speed in a straight line. His distance in…

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Q: Identify the end behavior for the function - y = (3x-1)(x+2)^2

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Q: Describe the domain and range of the function. KX, y) = 9x2 - y

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

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Q: A pet turtle walks towards his food dish at a constant speed in a straight line. His distance in…

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Q: Write an equation for the parent function y = x stretched horizontally by a factor of 4 and shifted…

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Q: Find the slope of the graph of ƒ (x) = x³ + 1 when x =. = 3.

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Q: Decide if the following equation represents a linear, exponential, or quadratic function y = 2X + 5

A: Given:- y=2x+5 To decide given equation is linear , exponential or quadratic

Q: Graph the functions y + 4 = x2/3

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Q: The length of a rectangle is 3 more than twice the width, w. Write an equation giving the area, A,…

A: Consider a rectangle of length l and width w. Given, l=2w+3 The objective is to determine the area A…

Q: Graph the function f (x)= 2x- 7.

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Q: Complete the equation for the piecewise function graphe- -7 -5 A5 -4 -3 -2

A: equation of the line which is passes through (x1,y1) and (x2,y2) is  y-y1 = (y2 -y1)/(x2-x1)(x-x1)

Q: The Circuit Gilles Villeneuve racetrack in Montreal is 4.361 km long. The Canadian Grand Prix…

A: We use distance,time and speed relation.

Q: Write and equation for a line perpendicular to f(x)= 5x - 1 and passing through the point (5,20)

A:

Q: 4 (1, 3) y= 4-

A: The graph is given by To evaluate : The height of the rectangle h as a function of x.

Q: Which statement explains the type of function that is represented by the equation y= x2 + 9?

A: The given equation Y=X2+9    Domain set of all input values where f(x) defined  Range Set of all…

Q: -2-

A: Mention the points on the graph. The graph is symmetric about x = - 3.

Q: Analyze the graph of the function. 4x - 12 H(x) = 9-x2

A: Calculation:

Q: State the domain and range of the function shown.

A: Consider the provided function, fx=-25-x2 State the domain and range of the function shown. The…

Q: Create the equation of a quadratic function in standard form given a vertex of (2, -4) and y…

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Q: write the function whose graph is the graph of y=x3+5 but is reflected about the x axis

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Q: A solar panel manufaccturer estimates tat the profit y (in dollars) generated by producing x solar…

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Q: phf (x)3x² is translated 5 units down and 7 units to the left , what would be the equation of the…

A: Concep - left/Right ,graph sifted x axis   Up/Down - graph sifted y axis

Q: the height of a ball Doreen tossed into the air can be modeled by the function h(x) =…

A: