Given the points (1,2) and (9, 162): a. Find a linear function of the form y-ax +b that goes through the two points. 2 Edit b. Find an exponential function of the form y-a b* that goes through the two points. Round your answers to three decimal places. y a b where a and b- c. Find a power function of the form y -ax that goes through the two points. 2 Edit

Q: Find a possible equation for the linear function g(x, y) shown in the graph below

A: Solution -  g(x,y) is a linear function. let g(x,y) = ax+by+c from graph of g(x,y). The graph…

Q: Assume that it costs that same company approximately C(x)=71,230++6,670x+0.03x^2 dollars to…

A: Given data-  C(x)=71,230+6,670x+0.03x^2. We have to find the average cost function= C¯(x).

Q: Decide which of the two given functions is linear and find its equation. 3 6. 10 15 f(x) 0 3 47 77…

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Q: From a 27-cm by 27-cm piece of cardboard, square cormers are cut out so that the sides can be folded…

A: From a 27 cm by 27 cm piece of cardboard, square corners are cut out so that the sides can be folded…

Q: The slope of the secant line of the square root function at x=4 and x=9 is [a], and the y-coordinate…

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Q: The percentage of high school students who drink and drive was 17.5% at the beginning of 2001 and…

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Q: The graph of the linear function f(x) passes through the point (x, y) = (1, m), where m is the slope…

A: Given:Graph of f(x) passes through the point (x, y) = (1, m), where m is the slope of the line.

Q: Find an equation for the linear function which has f(0.5) = 0.8 and f(0.8) = -0.3

A: to find linear function which has f0.5=0.8 and f0.8=-0.3

Q: Suppose that average annual income (in dollars) for the years 1990 through 1999 is given by the…

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Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

Q: Find the linear approximation to the following function at the given point a. ƒ(x) = e3x - 6; a = 2

A: Given,f(x) = e3x-6at a = 2

Q: If the position function of a moving object is 5(t) t-3t +2 meters from zero in t seconds, then

A: Consider the position of a particle is given by the function x(t). The average velocity of the…

Q: A molecule is moving along the x-axis such that at any timet > 0 (in seconds), its position from the…

A: Position of molecule from the origin at any time t is given as:

Q: Under certain conditions, the wind speed S, in miles per hour, of a tornado at a distance d feet…

A: Given wind speedSa,d,v=av0.51 d2

Q: Suppose that f is a linear function with slope -4 and that f(1) = 7. Find the equation for f. (Use x…

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Q: Find the directions in which t and decrease most rapidly at function in those directions.

A: given function fx,y,z=lnxy+lnyz+lnxz           =2lnx+lny+lnz             ∵lnxy=lnx+lny to find in…

Q: Two cars start at the same time and travel in the same direction along a straight road.  The…

A: Given velocity of car A and car B as a function of time t is,

Q: The wind-chill index is modeled by the function W = 13.12 +0.6215T – 11.37v0.16 + 0.3965TV0.16 ,…

A: When partial differentiation is done with respect to a variable, then other variables are treated as…

Q: Find the linearization L) of the function at a. f(x) = {, 8 = 125

A:

Q: A landscaping company charges $49 per cubic yard of mulch plus a delivery charge of $27. Find a…

A: Given A landscaping company charges  per cubic yard= $49 delivery charge =$27

Q: One company buys a new bulldozer for $126400. The company depreciates the bulldozer linearly over…

A:

Q: Let f and g be linear functions with equations f(x) = m1x + b1 and  g(x ) = m2x +b2. Is f ° g also a…

A: The given linear functions are fx=m1x+b1    and  gx=m2x+b2. This implies that,…

Q: Hamed own a local gold market that currently has 1159129 subscriber in Instagram at a quarterly…

A: Let the number of subscribers is denoted by x and the price of a commodity be denoted by y. Then we…

Q: 1- at 9=0

A:

Q: A company sells an inexpensive accounting program for home computers. If it can sell x programs per…

A: Revenue per week=Number of items sold per week×Cost per item

Q: Suppose that f is a linear function with slope 4 and that f(4) = 4. Find the equation for f. (Use x…

A: Given : Suppose that f is a linear function with slope 4 and that f(4) = 4.

Q: The slope of the secant line of the square root function at x-4 and x-9 is and the y-coordinate of…

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: ATTACHED THANKYOU

A: Given that the first term of the AP is a and common difference is d.And the AP is constructed by the…

Q: Decide which of the two given functions is linear and find its equation. ‹ 0 1 2 3 4 f(x) 912 15 18…

A: To find which of the given function is linear (f(x) or g(x)) . Also find its equation :-

Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 4, (15,…

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Q: Lisa is considering weight loss surgery, and after consulting a doctor, she was told that three…

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Q: Hamed own a local gold market that currently has 4693401 subscriber in Instagram at a quarterly…

A: Given Current subscriber=4693401 Quarterly charge of R.O. =18 and If he raises the price by 4 of his…

Q: Find dydx, where y is defined as a function of x implicitly by the equation below. y3+2x2y5=1

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Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

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Q: If a (small) weight w is suspended from a spring, the length L of the stretched spring is a linear…

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Q: The annual amount of energy produced in a country from dry natural gas (in tnillion cubic feet) can…

A: Given function is gt=15.621.041t. Where t =10 represent year 2010. (a) Obtain the amount of dry…

Q: A landscaping company charges $46 per cubic yard of mulch plus a delivery charge of $28. Find a…

A:

Q: Suppose that average annual income (in dollars) for the years 1990 through 1999 is given by the…

A: The general linear equation is fx=y=mx+c Here m is the slope of the curve and c is the y-intercept.…

Q: Assume the number of U.S. dial-up Internet households stood at 39.5 million at the beginning of 2004…

A: Given  The number of U.S. dial-up Internet households at the beginning of 2004 = 39.5 million…

Q: A mouse wheel is 16 cm im diameter and the base of the wheel is 2 cm off i ground. If the hamster…

A:

Q: 3. Use the graph below to write a linear function in y=mx +b form that relates y to x. -2+

A: We have to find the linear function in y=mx+b form.

Q: A machine is now worth $153.500 and will be depreciated linearly over a 6-year period at which time…

A: The machine is following a linear depreciation. So the corresponding depreciation function will be…

Q: Find an equation for the linear function which has f (0.5) = 0.8 and f (0.8) = -0.3. f (x) =

A: We have to find the linear function where, f0.5=0.8 and f0.8=-0.3 We know linear function form,…

Q: The idea of a large, stable middle class (defined as those with annual household incomes in 2010…

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Q: Assume the number of U.S. dial-up Internet households stood at 38.5 million at the beginning of 2004…

A: The number of U.S. dial-up Internet households at the beginning of 2004 t = 0 year, f0 = 38.5…

Q: Graph the function. y-2-x -10 -5 10 I J J J -10 5 10 -10 -5 10 -5 -10 @X ①

A: Solution:- the graph of y=2^-x is

Q: Decide which of the two given functions is linear and find its equation. 6. 10 15 f(x) 0 3 23 37 54…

A:

Q: The amount of heat H (in joules) required to convert one gram of water into vapor is linearly…

A: Given,The amount of heat H(in joules) required to convert one gram of water into vapor is linearly…

Q: B2. Write the following beam deflection for a beam of length L = 4 m as a piecewise function y = 2x…

A: The unit function Hx-a is defined as :Hx-a=0   for x<a1   for x≥aHx-3=0  for x<31  for x≥3

Q: Differentiate the function P = 5t³ + 4e'. dP dt

A: GIVEN: P = 5t3 + 4et TO FIND: dPdt