The cost function for a certain company is  C = 40x + 500  and the revenue is given by  R = 100x − 0.5x2.  Recall that profit is revenue minus cost. Set up a quadratic equation and find two values of x (production level) that will create a profit of $500.

Q: If (x – 3)2 = 5, what values of x make the quadratic equation TRUE?

A: Here we have given a quadratic equation and we have to find out the value of variable x for which…

Q: The quantity b2 - 4ac is called the____ of a quadratic equation. If it is___, the equation has no…

A: We know ,for a quadratic equation of the form ax2+bx+c=0,(a≠0) Discriminant D is given by: D=b2-4ac…

Q: retailer who sells backpacks estimates that, by selling them for x dollars each, he will be able to…

A: We use second derivative test to find out maximum revenue

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

Q: -3- -5 a. y = (x+ 2)² + 1 b. y= 4(x- 2)² + 1 c. y = (x- 2)² + 1 d. y = (x- 1) – 2

A:

Q: The quadratic equation for the cost in dollars of producing automobile tires is given below where x…

A: Given:

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A:

Q: Find the vertex and the axis of symmetry of the quadratic function : 2x^2-3x+4

A: Given,

Q: If the discriminant of a quadratic equation is 4, then the equation has

A:

Q: find the equation of the quadratic function/equation. and

A:

Q: explain by when solving and graphing a quadratic equation in the form ax^2 + bx + c = 0, there may…

A: Note that roots are also known as the zeros or x intercepts. A quadratic equations graph represents…

Q: What is the axis of symmetry of the following quadratic equation? y= 2x-4x-5 O x = -1 O x = -5 O x =…

A: The given equation is: y=2x2-4x-5 The objective is to state the axis of symmetry of the given…

Q: Use the zeros and the labeled point to write the quadratic function represented by the graph. (1, 4)…

A:

Q: In Problem,find the intercepts of each quadratic function

A: Given,f(x)=3x2-2x-8 We know,x-intercepts are those points on the graph of an equation where it…

Q: Which is the vertex form of the equation for the quadratic function y = -x2 - 14x- 48?

A: Given   y=-x2-14x-48

Q: What is the equation of a quadratic function y=f(x) with two irrational zeros, negative square root…

A: The equation of a quadratic function y=f(x) with two irrational zeros, negative square root of h and…

Q: The quantity b2 - 4ac is called the  _____________ of a quadratic equation. If it is _____________ ,…

A: To fill the blanks :   The quantity b2 - 4ac is called the _______ of  a quadratic equation. If…

Q: -4 -3 -2 -1 0. 1 -20 -13 -8 -5 -4 -5

A: topic - quadratic equations

Q: What is the equation of a quadratic in standard form, given the zeros x = 3 and x = 6 and the point…

A: The solution is given below.

Q: What is the sum of the roots of the quadratic function y=x^2-11x+28?

A:

Q: The cost function for a certain company is C = 30x + 600 and the revenue is given by R = 100x −…

A: Explanation of the answer is as follows

Q: Determine the equation of the quadratic with roots of of -32. +13 -2± √2 and that has a y-intercept

A:

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: The cost function for a certain company is  C = 70x + 200  and the revenue is given by  R = 100x −…

A:

Q: The discriminant of the quadratic equation 3x2 + 6x - 1 = 0 is [ Select ] and tells us that there…

A: we have to find the discriminant

Q: Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a?

A:

Q: Find the standard equation for the quadratic function y = 3x² + 11x-4.

A:

Q: A company that manufactures handbags has determined that the dollar cost of producing handbags per…

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Q: If the zeros of a quadratic function are -3 and 5, what is the equation of the axis of symmetry?

A:

Q: Find the x-intercepts of the following quadratic equation: 5x2 - x - 18 = 0

A:

Q: Determine the equation of the quadratic function that passes through (-3, 20) if its x-intercepts a…

A:

Q: Find the value of a for which one root of the quadratic equation (a² − 5a +3)x² + (3a-1)x+2=0 is…

A:

Q: If the discriminant of a quadratic equation is 0, then the equation has

A:

Q: The cost function for a certain company is C = 60x + 300 and the revenue is given by R = 100x −…

A: We have to find the value of x.

Q: If x=2 is a zero, what are the other zeros for the equation.

A: The given problem is solved below in detail.

Q: x2 + 4x =15 is a standard form of a quadratic equation?

A: Recall: Standard form of quadratic equation is  ax^2+bx+c=0.

Q: Use the zeros and the labeled point to write the quadratic function represented by the graph. (3.…

A: Quadratic equation.

Q: The revenue for a restaurant chain (in billions of dollars) for the years 2010 to 2015 can be…

A: According to the problem,,

Q: The cost function for a certain company is C = 70z + 100 and the revenue is given by R = 100z -…

A: Given: The cost function for a certain company is C=70x+100. The revenue cost is R=100x-0.5x2. The…

Q: to re-write the quadratic .2 y = x- 10a +2

A: Solution: The objective is to rewrite the given quadratic equation

Q: The profit function, in dollars for a product is given by π(x)=-x3 +76x2-380x-2800 where x is the…

A: Breakeven occurs at 10 means x=10 is a factor of pi(x)

Q: The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x -…

A:

Q: If the discriminant of a quadratic equation is 2, then the equation has

A: The discriminant of a quadratic equation is given by b2-4ac We know that when the b2-4ac>0 then…

Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

A: As  2 questions are given , so I will solve only the first question, We are given the height (in…

Q: The cost function for a certain company is C=70x+200 and the revenue is given by R=100x-0.5…

A: Profit , revenue, cost function

Q: If the zeros of a quadratic equation are -3 and 5, what be the x-intercepts

A: Given: If the zeros of a quadratic equation are -3 and 5

Q: Which equations are quadratic? a) 21 - 5x + 3 = 0 b) * = + 4 c) x = 4 d) - - - 0 e) V2r - 1 = 3 f)…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Use the single-graph method to solve the quadratic equation for 3x2 + 9x + 5 = 0. (Round the answers…

A: topic - quadratic equations

Q: The cost function for a certain company is  C = 60x + 300  and the revenue is given by  R = 100x −…

A:

Q: What is the solution for the quadratic equation 6x + 9x – 15 = 0? A x = 1 or 3 B x = -2.5 or 5 C x =…

A:

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.