A company that manufactures bicycles has a fixed cost of $100,000. It costs $100 to produce each bicycle. The total cost for the company is the sum of its fixed cost and variable costs. Write the total cost, C, as a function of the number of bicycles produced, x. Then find and interpret C(90).

Q: Determine if the two linear functions below are parallel, perpendicular or neither. y = 2 +7 and 5x…

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Q: The owner of a hamburger stand finds that she can sell an average of 200 hamburgers per day if she…

A: Suppose, y is the number of hamburgers she sells and x is a price of a hamburger. And, for the…

Q: Determine whether the equation x2 + y = 25 defines y as a function of x.

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Q: For the given linear function, make a table of values and sketch its graph. gx)-7- 3x

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Q: Find the consumer and producer surpluses by using the demand and supply functions, where p is the…

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Q: landscaping

A: We will find a linear equation.

Q: Determine whether the equation defines y as a function of x. ; y = 2x2 - 3x + 4

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Q: Determine whether the equation defines y as a function of x : x2 + y2 = 16

A: Therefore for each value of x, there exist two different values of y.

Q: Consider the function: y=x- .2 6x +5.

A: Given,         The function : y=x2-6x+5     We know that,         The parabola of the type y=ax-h2+k…

Q: Write the height h of the rectangle as a function of x.

A: In two-dimension cartesian-coordinate system, the value of a function at a point represented by the…

Q: Determine whether the equation defines y as a function of x : x + y3 = 27

A: x + y3 = 27 Yes, the given equation defines y as a function of x.

Q: Determine whether the equation x2 − y = 9 represents y as a function of x.

A: The given equation is;  x2-y=9   ...................(1)

Q: Identify the slope and y-intercept of the function y= -2x + 3

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Q: determine whether or not the equation represents y as a function of x x=y2 +4

A: x=y2 +4 =>y2 = x-4 =>y=x-4

Q: Determine whether y is a function of x x2 + y2 = 16

A: To Determine: y is a function of x2+y2=16 Concept: A function f:A→B is a relation for which each…

Q: Solve:(a) write the linear function f that has the given function values and (b) sketch the graph of…

A:

Q: decide if the function is linear y=9x+7

A: Linear equationThe linear equation is an equation of straight line or the equation whose all…

Q: Determine the intercepts of the graph of the linear function f (x) = 2x + 5.

A: given the linear function: fx=2x+5

Q: Use the graph to write a linear function that relates y to r. y 4 1 -3-2-1 1 2 3 x 2 y =

A: By observing the given graph we find this.

Q: Solve:(a) write the linear function f that has the given function values and (b) sketch the graph of…

A: (a) To find: The linear function fx . Given: The value of functions are f1=4 and f0=6. Calculation:…

Q: Graph the linear function. f(x)=1/4x+5

A: f(x)= (1/4)x+5Lets make a table for this function.Took x=0,4 and -4, found values of ys for those xs…

Q: The manager of a furniture factory finds that it costs $2600 to manufacture 70 chairs in one day and…

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Q: Determine the x- and y-intercepts for the given function. B(x)=5x+8

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Q: Use the slope and the y-intercept to graph the linear function f(x) = 1/4 x - 3.

A: To graph the linear function f(x) = 14x - 3.

Q: Graph the linear function using the slope and​ y-intercept. f(x)=-8/9x

A:

Q: Determine whether the equation defines y as a function of x. x2 +  (y - 1)2 = 4

A: we have to determine whether the given equation defines y as a function of x. x2 +  (y - 1)2 = 4

Q: Tom is driving to Seattle. Suppose that the distance to his destination (in miles) is a linear…

A: Given: Tom has 54 miles to his destination after 49 minutes of driving, and he has 33.2 miles to his…

Q: Write the function whose graph is the graph of y = x3 , but is: Reflected about the x-axis

A: Given, y=x3 if we take reflection then all values of y are reflected from above the x-axis to below…

Q: y -6 -4 -6 2.

A:

Q: Use the Vertical Line Test to determine whether y is a function of x.             √(x2 − 4) − y = 0

A: Given, x2-4-y=0

Q: Determine whether the equation defines y as a function of x. x + y2 = 14

A: x+y2=14y2=14-xy=14-x2so y is function of  x but every value does not satisfy for example if we take…

Q: A company that sells radios has yearly fixed costs of $650,000. It costs the company $45 to produce…

A: Given, C(x) = 650000+45x;  R(x) = 70x (R-C)(13000) = R(13000) - C(13000)…

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: Write an equation for the function graphed below. The y intercept is at (0,-0.4) 5+ 4- 3- 2 56 -5 4…

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Q: Determine whether the function is increasing or decreasing.   b(x)=5−6x

A: Monotonic function→ A function f(b) is monotonicaley decreasing on Rif V x,x2 ε R , is x1 > x2…

Q: Determine whether the equation defines y as a function of x: x + y2 = 5

A: To determine whether the equation given below defines y as a function of x :- x+y2=5 -(i)

Q: The pilot of a Boeing 777 jet takes off from Boston's Logan Airport, which is at sea level, and…

A: Consider the given rate of climbing of the plane and the cruising height of the plane:

Q: Graph the linear function: f(x) = (3/5)x + 1.

A: Given :            fx=35x+1

Q: Determine whether the equation defines y as a function of x. 2) y² + x = 5

A: First we draw the curve for given equation.

Q: Write h(x) = | − 8 − 3x| as an equivalent piecewise-defined function.

A:

Q: Determine whether the equation x + y3 = 27 defines y as a function of x.

A: Consider the given equation as x+y3=27

Q: determine whether the equation defines y as a function of x.   y2 = 4 - x2

A: Given: y2=4-x2

Q: Use the graph of f(x) = x3 to write an equation for the function represented by 1 3 (a) g(x) = %3D y

A:

Q: Determine whether the equation x2 + y2 = 16 defines y as a function of x.

A: x2+y2=16 On simplification, we get y2=16-x2⇒y=±16-x2

Q: Determine whether the equation x2 + y2 = 25 defines y as a function of x.

A: Given equation x2+y2=25 Solve the above equation, we get x2+y2=25y2=25-x2y=±25-x2 In the above…

Q: Determine whether the equation x2 + y = 16 defines y as a function of x.

A: Given: x2+y=16

Q: Determine whether the equation x + y2 = 5 defines y as a function of x.

A: Our Aim is to determine whether the equation x+y2=5-(i) defines y as a function of x.